Edmentum Math Resources
Training videos, supplemental material guides, and recorded webinar.
Integrated Math Resources
Integrated Math 1 and 2 Webinars
Integrated Math 3 Training Videos
Resource Links & Supplemental Materials
Integrated Math 1A
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school. In Integrated Math 1A, you will begin with algebra. You will build on your understanding of single-variable and two-variable expressions, equations, and inequalities. You will also learn how to write equations and inequalities to represent and solve word problems.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: This course will help you meet the following goals:
• Perform addition, subtraction, multiplication, and division with monomial, binomial, and other polynomial expressions.
• Write and solve linear equations that represent a word problem or a real-life scenario.
• Write and solve linear inequalities that represent a word problem or a real-life scenario.
• Graph linear equations and inequalities on a coordinate plane.
• Find the slope and intercepts of a linear equation.
• Find a linear equation by looking at its graph.
• Apply the slope-intercept form and point-slope form of an equation of a line.
• Graph a system of linear equations and inequalities.
• Solve linear systems using substitution, linear combinations, and addition.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Integrated Math 1A | ||
Unit 1: Operations and Expressions | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Adding Monomials | ||
Subtracting Monomials | ||
Multiplying Monomials | ||
Dividing Monomials | ||
Adding Binomials & Monomials | ||
Subtracting Binomials and Monomials | ||
Multiplying Monomials and Binomials | ||
Dividing Binomials by Monomials | ||
Integrated Math 1A | ||
Unit 2: Equations and Inequalities | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Linear Equations in 1 Variable | Math Module 11 – Linear Equations with One Variable Worksheet & AK – Solving One-step Equations with Integers Worksheet & AK – Solving One&Two Step Equations Worksheet & AK – Solving Equations with Variables on Both Sides | |
Literal Equations | ||
Using Linear Equations to Solve Problems | ||
Linear Inequalities in 1 Variable, Part 1 | ||
Linear Inequalities in 1 Variable, Part 2 | ||
More Difficult Linear Inequalities in 1 Variable | ||
Integrated Math 1A | ||
Unit 3: Two-Variable Equations, Inequalities, and Graphs | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Ordered Pairs | ||
Graphing Linear Equations in 2 Variables | Math Module 13 – Graphing and Plotting Points: PART 1 | |
Graphs, Slopes, and y-intercepts | ||
Finding x- and y-intercetps of a Linear Equation | Math Module 14 – Linear Equations with 2 Variables: LESSON 3 | |
Slope-Intercept Form | Math Module 14 – Linear Equations with 2 Variables: LESSON 4 Worksheet & AK – Find the Slope and Y-intercept Worksheet – Standard Form to Slope-Intercept form lesson & practice | |
Point-Slope Form | ||
Interpreting Graphs to Solve Problems | ||
Graphing Linear Inequalities in Two Variables | ||
Integrated Math 1A | ||
Unit 4: Systems of Equations | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Solving and Graphing Systems of Equations | ||
Solving Systems of Linear Inequalities by Graphing | Video: Intro to Graphing Systems of Inequalities Lesson & Examples: Solving Systems of Linear InequalitiesWorksheet & AK – Solving Systems of Inequalities | |
Solving Problems with Systems of Linear Equations | ||
Solving Linear Systems Using Substitution | Video: Solve a System using Substitution Lesson, Examples, Practice, & AK – Solving Systems using Substitution | |
Solving Linear Systems of Equations: Addition | ||
Solving Problems with Linear Systems | ||
Integrated Math 1A | ||
Unit 5: Functions | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Patterns and Sequences | ||
Function Notation | Lesson and Examples: Function Notation and Evaluation | |
Finding the Domain and Range of a Function | ||
Describing Functions with Equations, Tables, and Graphs | ||
Exponential Growth | ||
Exponential Decay | ||
Integrated Math 1B
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school. In Integrated Math 1B, you will explore the connections between algebra and geometry. You will learn about functions and use them to solve real-world math problems. You will study data collection methods and use different types of data plots to represent and analyze statistical data. You will learn geometric theorems and rules and write proofs to support them. You will also explore congruency and similarity of triangles. Graded Assignments: • Mastery Test • Unit Activity • Post Test Course Goals: This course will help you meet the following goals: • Find the domain and range of a function. • Relate functions with equations, tables, and graphs. • Write exponential functions and solve problems using exponential functions. • Write normal and recursive functions and combine different functions. • Write rules for arithmetic and geometric series, and find sums of series. • Transform and translate graphs of functions, and find computed functions for transformed graphs. • Interpret the slope and intercept of a linear fit of a data set. • Represent quantitative data using a scatter plot and fit a function to the data. Interpret the correlation coefficient of a data set. • Distinguish between correlation and causation. • Use different types of data plots to represent data. • Understand and compare shape, center, and spread of data sets. • Understand congruence in terms of rigid motions. • Prove geometric theorems. • Make geometric constructions. • Apply geometric concepts in modeling situations. Tips for Student Success: Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples. Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial. Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator. Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed. Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed. |
Integrated Math 1B | ||
Unit 6: Advanced Functions | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Writing and Combining Functions | Examples & Videos: Describe Situations Using Functions Interactive Practice Problems: Linear Equations Word Problems | |
Arithmetic Sequences and Series | Lesson & Examples: Artihmetic Sequences | |
Geometric Sequences and Series | Lesson & Examples: Geometric Sequences | |
Translations and Transformations | ||
Functional Values | ||
Integrated Math 1B | |||
Unit 7: Geometric Transformations | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Basic Geometric Concepts | Lesson: Basic Geometry Concepts | ||
Representing Transformations in a Plane | |||
Returning a Polygon to Its Original Position | |||
Defining Rigid Transformations | |||
Predicting Results of Rigid Transformations | |||
Integrated Math 1B | |||
Unit 8: Geometric Congruence | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Transformations and Congruence | |||
ASA, SAS, and SSS Criteria for Congruent Triangles | Guided Notes: ASA, SAS, and SSS Criteria for Congruent Triangles | ||
Integrated Math 1B | |||
Unit 9: Using Geometry and Trigonometry | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Geometric Constructions with Lines and Angles | Guided Notes: Geometric Constructions with Lines and Angles Video: Constructing a Line Segment with a Compass and Straightedge Video: Constructing an Angle with a Compass and Straightedge Video: Constructing an Angle Bisector with a Compass and Straightedge Video: Constructing a Perpendicular Bisector with a Compass and Straightedge Video: Constructing a Perpendicular at a Point on a Line with a Compassand Straightedge | ||
Using Coordinates to Prove Geometric Theorems | Guided Notes: Using Coordinates to Prove Geopmetric Theorems | ||
Slope Criteria for Parallel and Perpendicular Lines | Guided Notes: Slope Criteria for Parallel and Perpendicular Lines | ||
Using Coordinates to Compute Perimeters and Areas | Guided Notes: Using Coordinated to Compute Perimeters and Areas | ||
Integrated Math 1B | |||
Unit 10: Inferences and Conclusions from Data | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Data Plots | |||
Showing Data Center and Spread | Guided Notes: Showing Data Center and Spread | ||
Interpreting the Shape of Data Distributions | Guided Notes: Interpreting the Shape of Data Distributions Knowledge Article: Interpreting the Shape of Data Distributions | ||
Relating Categorical Data | |||
Interpreting Data as a Line | |||
Relating Quantitative Data | Guided Notes: Relating Quatitative Data | ||
Making and Interpreting Correlations | Guided Notes: Making and Interpreting Correlations | ||
Correlation Versus Causation | Guided Notes: Correlations Versus Causation Video: Scientifically Deterrmining Causations as Oposed to Correlation | ||
Integrated Math 2A
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches these subjects as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school.
In Integrated Math 2A, you will begin with polynomial expressions, including rational expressions. You will learn about quadratic equations and inequalities and solve them to find answers to real-world math problems. Finally, you will use this knowledge to examine polynomial functions.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: This course will help you meet the following goals:
• Simplify expressions with rational exponents and radicals.
• Perform addition, subtraction, multiplication, and division with monomial, binomial, and other polynomial expressions.
• Rewrite formulas to solve problems with variables.
• Factorize polynomial expressions.
• Solve quadratic equations using a variety of techniques.
• Use quadratic equations to solve word problems.
• Solve inequalities.
• Plot complex numbers in the complex number plane.
• Perform operations with complex numbers.
• Solve quadratic equations with complex solutions.
• Analyze polynomial functions.
• Calculate and interpret the rate of change for functions.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Integrated Math 2A | ||
Unit 1: Rules of Exponents and Polynomials | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Integer Exponents and the Product Rule | Math Module 10 – Simplifying Algebraic Expressions, Lesson 1 | |
Integer Exponents and the Quotient Rule | Math Module 10 – Simplifying Algebraic Expressions, Lesson 1 | |
Integer Exponents and the Power Rule, Part 1 | Math Module 10 – Simplifying Algebraic Expressions, Lesson 1 | |
Integer Exponents and the Power Rule, Part 2 | Math Module 10 – Simplifying Algebraic Expressions, Lesson 1 | |
Rational Exponents | ||
Rationalizing the Denominator in Rational Expressions | ||
Rules for Exponents and Radicals | ||
Applying Rules for Exponents and Radicals | ||
Integrated Math 2A | |||
Unit 2: Polynomials | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Classifying Polynomials | |||
Polynomial Sum | Math Module 10 – Simplifying Algebraic Expressions, Lesson 2 | ||
Polynomial Difference | Math Module 10 – Simplifying Algebraic Expressions, Lesson 2 | ||
Product of a Monomial and a Polynomial | Math Module 10 – Simplifying Algebraic Expressions, Lesson 3 | ||
Product of Polynomials | Math Module 10 – Simplifying Algebraic Expressions, Lesson 3 | ||
Quotient of a Monomial and a Polynomial | Math Module 10 – Simplifying Algebraic Expressions, Lesson 3 | ||
Quotient of a Binomial and Polynomial | |||
Adapting and using Formulas | |||
Integrated Math 2A | |||
Unit 3: Factoring | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Greatest Common Factos of Monomials | |||
Monomial Factors of Polynomials | |||
Binomial Factors, Part 1 | |||
Binomial Factors, Part 2 | |||
Factoring the Difference of 2 Squares | Math Module 16 – Factoring by Grouping, Lesson 3, Pages 61-68 | ||
Factoring perfect Square Trinomials | Math Module 16 – Factoring by Grouping, Lesson 3, Pages 68-70, 73, 74 | ||
Factoring Trinomials, Part 1 | |||
Factoring Trinomials, Part 2 | |||
Integrated Math 2A | |||
Unit 4: Quadratic Equations | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Solving Simple Quadratic Equations | |||
Solving Quadratic Equations by Factoring, Part 1 | |||
Solving Quadratic Equations by Factoring, Part 2 | |||
Solving Quadratic Equations by Factoring, Part 3 | |||
Using Quadratic Equations to Solve Problems | |||
Quadratic Formula | |||
Solving Quadratic Equations in the Complex Number System | |||
Adding and Subtracting Complex Numbers | |||
Multiplying and Dividing Complex Numbers | |||
Integrated Math 2A | |||
Unit 5: Graphing Functions | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Solving Linear Quadratic Systems of Equations | Video: Linear and Quadratic Systems Calculator Directions: Solve Linear-Quadratic Systems Using a Graphing Calculator Worked Out Examples: Solving Linear Quadratic Systems Algebraically | ||
Parabola and its Intercepts | |||
Parabola and its Vertex | |||
Parabola and its Coefficients | Lesson and Examples: Parabolas as Conic Sections Worked out examples: Identify the vertex, focus, and axis of symmetry | ||
Graphing Piecewise Functions | Video: How to Graph a Piecewise Function Lesson and Examples: Piecewise, Absolute Value, and Step Functions | ||
Graphing Absolute Value Functions | |||
Integrated Math 2B
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school.
In Integrated Math 2B, you will study the connections between algebra and geometry. You will learn about functions and use them to solve real-world math problems. You will study data collection methods, and you will use different types of data plots to represent and analyze statistical data. You will learn about geometric theorems and rules and write proofs to support them. You will also explore congruency and similarity of triangles
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: This course will help you meet the following goals:
• Solve systems of linear-quadratic equations algebraically and graphically.
• Investigate attributes of the graph of a parabola.
• Graph piecewise and absolute value functions.
• Relate domain to a function based on the given context.
• Find and analyze the inverse of a function.
• Write proofs for various theorems and apply them in geometric relationships.
• Prove similarity and congruence in two geometric figures.
• Use trigonometric ratios and identities to solve problems involving right triangles.
• Write and apply volume formulas.
• Derive the equations of circles and parabolas.
• Divide a line segment in a given ratio.
• Describe relationships among inscribed angles, radii, and chords within a circle.
• Make constructions related to circles.
• Relate length of the arc intercepted by an angle to the radius of the circle.
• Derive the formula for the area of a sector.
• Apply the Addition and Multiplication Rules for probability.
• Distinguish between dependent events and independent events.
• Use counting techniques to compute probabilities for various permutations and combinations of events and to make fair decisions.
• Use a two-way frequency table and find conditional probability of events in a sample space.
• Interpret conditional probability of events.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Integrated Math 2B | ||
Unit 6: Properties of Functions | ||
Supplemental Resource Guide | ||
Module | Pre-Requisite Resources | Supplemental Module Resources |
Solving Problems with Linear Functions | ||
Solving Problems with Quadratic Functions | ||
Properties of Exponential Functions | ||
Properties of Logarithmic Functions | ||
Recognizing Graphs of Types of Functions | ||
Function Models and Features | ||
Inverse of a Function | ||
Determining if a Function has an Inverse | ||
Integrated Math 2B | |||
Unit 7: Congruence, Similarity, and Proof | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Lines, Angles, and Mathematical Proofs | |||
Proving Theorems about Lines and Angles | |||
Proving Theorems about Triangles | |||
Proving Theorems about Parallelograms | Guided Notes: Proving Theorems about Parallelograms | ||
Properties of Dilations | |||
Similarity and Similarity Transformations | |||
Similarity, Proportion, and Triangle Proof | |||
Using Congruence and Similarity with Triangles | Guided Notes: Using Congruence and Similarity with Triangles Video: Using Similar Triangles to Make Indirect Measurements | ||
Integrated Math 2B | |||
Unit 8: Trigonometry, Coordinate Geometry, and Extending to Three Dimensions | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Trigonometric Ratios | |||
Sine and Cosine of Complementary Angles | |||
Solving Problems with Right Triangles | Guided Notes: Solving Problems with Right Triangles Worksheet: Using the Tangent to Determine Angle Measures | ||
Basic Trigonometric Identities | |||
Explaining Volume Formula | |||
Using Volume Formulas | Math Module 18 – Simple Geometry, Lesson 4, Pages 68, 69, 70, 71 | ||
Integrated Math 2B | |||
Unit 9: Circles | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Relationships Among Inscribed Angles, Radii, and Chords | Guided Notes: Relationships Among Inscribed Angles, Radii, and Chords | ||
Inscribed and Circumscribed Circles | Guided Notes: Inscribed and Circumbscribed Circles Video: Constructing the Inscribed Circle of a Triangle Using a Compass and Straightedge Video: Constructing the Circumbscribed Circle of a Triangle Using a Compass and Straightedge | ||
Relating Arc Length and Area to Radius | |||
Equation of a Circle | Guided Notes: Equation of a Circle Article: Interactive, Coordinates of a Circle Based at the Origin Video: Conic Sections: Intro to Circles, Standard Form of the Equation of a Circle | ||
Integrated Math 3A
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school. In Integrated Math 3A, you will understand and work with polynomial expressions, including rational expressions. You will also examine the relationship between equations and functions and analyze trigonometric functions in detail.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: This course will help you meet these goals:
• Simplify polynomial and rational expressions.
• Perform addition, subtraction, multiplication, and division with rational expressions.
• Prove and use polynomial identities.
• Apply the Binomial Theorem.
• Find common denominators in rational expressions.
• Factor algebraic expressions.
• Use synthetic division to divide polynomials.
• Examine graphs of polynomial functions.
• Derive a formula for the sum of a finite geometric series.
• Examine trigonometric functions and their graphs.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Integrated Math 3A | |||
Unit 1: Rational Expressions, Part 1 | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Evaluating Rational Expressions | Video: Evaluating Rational Expressions | ||
| Restrictions on Rational Expressions | Video: Restrictions on Rational Expressions | ||
| Equivalent Forms of Rational Expressions | Video: Equivalent Forms of Rational Expressions | ||
| Simplifying Rational Expressions | Video: Simplifying Rational Expressions | ||
| Sum of Rational Expressions, Part 1 | Video: Adding and Subtracting Rational Expressions | ||
| Difference of Rational Expressions, Part 1 | Video: Adding and Subtracting Rational Expressions | ||
| Product of Rational Expressions | Video: Product of Rational Expressions | ||
Integrated Math 3A | |||
Unit 2: Rational Expressions, Part 2 | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Quotient of Rational Expressions | Video: Quotient of Rational Expressions | ||
| Common Denominators of Rational Expressions | Video: Common Denominators of Rational Expressions | ||
| Sum of Rational Expressions, Part 2 | Video: Sum of Rational Expressions | ||
| Difference of Rational Expressions, Part 2 | Video: Difference of Rational Expressions | ||
| Review: Rational Expressions | |||
Rewriting Rational Expressions | Examples: Rewriting Rational Expressions | ||
| Video: Rewriting Ratinal Expressions | |||
| Videos & Examples: Polynomial Long Division | |||
Integrated Math 3A | |||
| Unit 3: Polynomial Expressions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Simplifying Algebraic Expressions | Khan Academy Video: Simplifying Expressions | ||
| Simplifying Polynomial Expressions | Khan Academy Video: Simplifying Expressions | ||
Polynomial Identities and the Binomial Theorem | Khan Academy Video: Intro to the Binomial Theorem | ||
| Worksheet & AK: Binomial Theorem | |||
| Factoring Algebraic Expressions | Khan Academy Video: Factoring Algebraic Expressions | Examples: Factoring Algebraic Expressions | |
| Dividing Polynomials Using Synthetic Division | |||
Integrated Math 3A | |||
| Unit 4: Equations and Functions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Other Types of Equations | Examples: Solving Radical Equations | ||
| Khan Academy Video: Solving Radical Equations | |||
| Khan Academy Video: Solving Equations with Fractional Exponents | |||
| Examples: Solving Rational Equations | |||
| Khan Academy Video: Find Solutions that Satisfy the Equation | |||
| Graphing Polynomial Functions | Lesson: Graphing Polynomial Functions | ||
Finite Geometric Sums | Khan Academy Video: Geometric Series Introduction | ||
| Lesson: Finite Geometric Series | |||
Integrated Math 3A | |||
| Unit 5: Trigonometric Functions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Angles and their Measures | Khan Academy Vidoe: Unit Circle Introduction | ||
| Lesson: Unit Circle | |||
| Chart: Unit Circle | |||
| Test Review Problems | |||
| Trigonometric Functions and the Unit Circle | Period, Domain, Range of Trig Functions | ||
Trigonometric Functions | Video: Reference Angles | ||
| Video: Coterminal Angles | |||
Trigonometric Graphs | Period, Domain, Range of Trig Functions | ||
| Simplifying Trig Expressions | |||
| Trig Identities | |||
Integrated Math 3B
Course Overview: Integrated Math is a comprehensive collection of mathematical concepts designed to give you a deeper understanding of the world around you. It includes ideas from algebra, geometry, probability and statistics, and trigonometry, and teaches them as interrelated disciplines. It’s likely that you’ve been studying some form of integrated math since elementary school. In Integrated Math 3A, you will understand and work with polynomial expressions, including rational expressions. You will also examine the relationship between equations and functions and analyze trigonometric functions in detail.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: This course will help you meet these goals:
• Simplify polynomial and rational expressions.
• Perform addition, subtraction, multiplication, and division with rational expressions.
• Prove and use polynomial identities.
• Apply the Binomial Theorem.
• Find common denominators in rational expressions.
• Factor algebraic expressions.
• Use synthetic division to divide polynomials.
• Examine graphs of polynomial functions.
• Derive a formula for the sum of a finite geometric series.
• Examine trigonometric functions and their graphs.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Integrated Math 3B | |||
| Unit 6: Geometry and Trigonometry | |||
| Supplemental Resource Guide | |||
| Integrated Math 3B Glossary | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Proving the Laws of Sines and Cosines | Guided Notes: Provng the Laws of Sines and Cosines | ||
| GeoGebra User Guide | |||
| Khan Academy Video: Proof of the Law of Sines | |||
| Khan Academy Video: Proof of the Law of Cosines | |||
| Applying the Laws of Sines and Cosines | Guided Notes: Applying the Laws of Sines and Cosines | ||
Cross-Sections of Three-Dimensional Objects | Guided Notes: Cross-Sections of Three-Dimensional Objects | ||
| Worksheet: Rotations of Two-Dimensinal Shapes | |||
| Worksheet: Two-Dimensional Cross Sections | |||
| Activity: Cross Section Flyer | |||
| Activity: 3D Transmographer | |||
Integrated Math 3B | |||
| Unit 7: Modeling with Functions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Creating and Solving Equations | Guided Notes: Creating and Solving Equations | ||
| Rewriting Formulas | Examples: Rewriting Formulas | ||
| Solving Linear Systems of Equations: Graphs | |||
| Classifying Linear Systems | |||
| Solving Linear Systems of Inequalities: Graphs | |||
| Solving Linear Systems of Equations: Substitutions | |||
| Estimating Solutions for a System of Equations | Examples: Estimating Solutions | ||
Integrated Math 3B | |||
| Unit 8: Graphing with Functions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Graphing Linear Inequalities in 1 Variable | |||
| Graphing with Restrictions on the Variable | |||
| Graphing Solution Sets of Associated Inequalities | |||
Operations on Functions | Video: Operations on Functions-Adding and Subtracting | ||
| Video: Operations on Functions-Multiplying and Dividing | |||
| Solving Problems: Exponential and Logarithmic | |||
Graphing Exponential and Logarithmic Functions | Khan Academy Video: Graphing Logarithmic and Exponential Functions | ||
| Video: Graphing Exponential Functions | |||
| Video Graphing Logarithmic Functions | |||
Transformations of Functions | Khan Academy Video: Shifting Parabolas | ||
| Video: Shifting Cubic Functions | |||
| Video: Shifting Absolute Value Functions | |||
| Video: Shifting Cube Root Functions | |||
| Inverse Functions | Video: Finding Inverse Functions | ||
Integrated Math 3B | |||
| Unit 9: Data and Random Sampling | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Making Inferences Based on Statistics | Guided Notes: Making Inferences Based on Statistics | ||
| Knowledge Article: Making Inferences Based on Statistics | |||
Evaluating the Validity of a Statistical Model | Guided Notes: Evaluating the Validity of Statistical Model | ||
| Video: How the NBA Lottery Works | |||
| Knowledge Article: Evaluating Validity Model | |||
Using Statistics in Surveys, Experiments, and Studies | Guided Notes: Using Statistics in Surveys, Experiments, and Studies | ||
| Knowledge Article: Using Statistics in Surveys, Experiments, and Studies | |||
| Experimental Design Article | |||
Fair Decisions with Random Variables | Guided Notes: Fair Decisions with Random Variables | ||
| Knowledge Article: Fair Decision Random Variables | |||
Integrated Math 3B | |||
| Unit 10: Decision Making from Data | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Normal Distributions | Guided Notes: Normal Distributions | ||
| Knowledge Article: Normal Distributions | |||
| Plinko Game Link | |||
| Knowledge Article: Using Data Tools | |||
Data and Normal Distribution | Guided Notes: Data and Normal Distribution | ||
| Standard Normal Distribution Z-Score Table | |||
| Video: Simulation | |||
Analyzing a Survey | Guided Notes: Analyzing a Survey | ||
| Knowledge Article: Analying a Survey | |||
Statistically Comparing Two Treatments | Guided Notes: Statistically Comparing Two Treatments | ||
| Knowledge Article: Statistically Comparing Two Treatments | |||
Evaluating Reports Based on Data | Guided Notes: Evaluating Reports Based on Data | ||
| Knowledge Article: Evaluating Reports Based on Data | |||
| Gallup College Survey Report | |||
Algebra 1 & 2 Resources
Algebra 1 & 2 Webinars
Algebra 1 & 2 Webinar Q & A
Resource Links & Supplemental Materials
Algebra 1 Sem A
Course Overview: Algebra 1, Semester A, is a single-semester course designed to build, develop, and periodically assess your subject-matter knowledge while strengthening your mathematical skills. Linear relationships are a main focus of this course. You’ll graph, create, and solve linear equations and use function notation to describe linear relationships. You will also study linear transformations and represent linear data using scatter plots and mathematical models. You will write and solve systems of linear equations and inequalities. At the end of this course, you’ll represent, compare, and analyze data sets in a variety of contexts.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Solve linear equations and inequalities in one variable.
• Use function notation to describe relationships between quantities, and interpret function notation to solve problems.
• Interpret and create graphs of linear relationships.
• Write one-variable and two-variable linear equations and use them to solve problems.
• Describe transformations defined by changes in the slope or the y-intercept of linear functions.
• Represent data with scatter plots, and use mathematical models to solve problems.
• Write systems of equations, and solve them using algebraic and graphical methods.
• Represent data with dot plots, box plots, and histograms.
• Analyze, interpret, and justify conclusions from a set of data.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Algebra 1 Sem A | |||
Unit 1: Linear Equations | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 1 GUIDED NOTES | ||
Expressions | Guided Notes: Expressions | ||
| Notes: Order of Operations | |||
Linear Equations | Guided Notes: Linear Equations | ||
| Intertactive: Solve It! | |||
| Notes: Algebra Tiles | |||
Solving Linear Equations | Guided Notes: Solving Linear Equations | ||
Solving Advanced Linear Equations | Guided Notes: Solving Advanced Linear Equations | ||
| Notes: Properties of Real Numbers | |||
| Notes: Algebraic Properties | |||
| Solving Literal Equations | Guided Notes: Solving Literal Equations | ||
Solving Linear Inequalities | Guided Notes: Solving Linear Inequalities | ||
| Notes: Properties of Real Numbers | |||
| Notes: Properties of Euality and Inequality | |||
Algebra 1 Sem A | |||
Unit 2: Functions | |||
Supplemental Resource Guide | |||
Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
ALL MODULES | |||
Graphing Relations | |||
Functions | |||
Function Notation | |||
Inverse Functions | |||
Algebra 1 Sem A | |||
Unit 3: Linear Relationships | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 3 GUIDED NOTES | ||
Slope and Graphing | Guided Notes: Slope and Graphing | ||
| Notes: Slope Review | |||
Writing Linear Functions and Equations | Guided Notes: Writing Linear Functions and Equations | ||
| Notes: Algebraic Properties | |||
| Linear Function Transformations | Guided Notes: Linear Function Transformations | ||
Algebra 1 Sem A | |||
Unit 4: Special Linear Relationships | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 4 GUIDED NOTES | ||
| Special Lines | Guided Notes: Special Lines | ||
| Direct Variation | Guided Notes: Direct Variation | ||
| Representing Data | Guided Notes: Representing Data | ||
Using Models from Data | Guided Notes: Using Models from Data | ||
| Worksheet: Using Models for Data | |||
| Linear Inequalities | Guided Notes: Linear Inequalities | ||
Algebra 1 Sem A | |||
Unit 5: Systems of Linear Equations and Inequalities | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 5 GUIDED NOTES | ||
Systems of Linear Equations | Guided Notes: Systems of Linear Equations | ||
| Edmentum Video: Solve by Graphing | |||
Writing and Solving Systems Using Substitution | Guided Notes: Writing and Solving Systems Using Substitution | ||
| Edmentum Video: Solve by Substitution | |||
Writing and Solving Systems Using Elimination | Guided Notes: Writing and Solving Systems Using Elimination | ||
| Edmentum Video: Solve by Elimination | |||
| Systems of Inequalities | Guided Notes: Solving Systems of Linear Inequalities | ||
Algebra 1 Sem B
Course Overview: Algebra 1, Semester B, is a single-semester course designed to build, develop, and periodically assess your subject-matter knowledge while strengthening your mathematical skills. The major topics of this semester are quadratic and exponential relationships. You’ll learn to perform operations on polynomials and factor them. You will examine quadratic relationships in detail by writing and graphing quadratic equations. You’ll also model real-world situations with quadratic functions and solve quadratic equations using a variety of methods. You will investigate exponential relationships and use exponential models to describe and make predictions about realworld situations. You’ll solve linear-quadratic and linear-exponential functions. At the end of the semester, you’ll compare different function types graphically and algebraically.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Determine the sums, differences, and products of polynomials.
• Use factoring techniques and distribution to rewrite quadratic expressions.
• Graph and transform quadratic functions on the coordinate plane.
• Identify and use a quadratic data model to make predictions and solve problems.
• Solve quadratic equations in one variable by inspection, taking square roots, factoring, completing the square, and using the quadratic formula.
• Graph exponential functions, and identify their key features.
• Write and use exponential functions to model situations in the real world.
• Identify and analyze key features of piecewise and absolute value functions.
• Solve systems of linear and quadratic equations graphically and algebraically.
• Solve systems of linear and exponential equations graphically, tabularly, and by using successive approximation.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Algebra 1 Sem B | |||
Unit 7: Quadratic Relationships | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 7 GUIDED NOTES | ||
Quadratic Relationships | Guided Notes: Quadratic Relationships | ||
| Worksheet Teacher Instructions: Quadratic Relationships | |||
| Worksheet: Quadratic Relationships | |||
Graphs of Quadratic Relationships | Guided Notes: Graphs of Quadratic Relationships | ||
| Notes: Summary of Function Transformations | |||
Forms of Quadratic Relationships | Guided Notes: Forms of Quadratic Equations | ||
| Notes: Forms of Quadratic Functions | |||
Writing Quadratic Equations | Guided Notes: Writing Quadratic Functions and Equations | ||
| Notes: Forms of Quadratic Functions | |||
| Notes: Linear and Quadratic Relationships | |||
Algebra 1 Sem B | |||
Unit 8: Solving Quadratic Equations | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 8 GUIDED NOTES | ||
Solving Quadratic Equations with Square Roots | Guided Notes: Solving Quadratic Equations with Square Roots | ||
| Notes: Algebraic Properties | |||
Solving Quadratic Equations by Factoring | Guided Notes: Solving Quadratic Equations by Factoring | ||
| Notes: Algebraic Properties | |||
| Notes: Factoring Methods | |||
Solving Quadratic Equations by Completing the Square | Guided Notes: Solving Quadratic Equations by Completing the Square | ||
| Notes: Algebraic Properties | |||
| The Quadratic Formula | Guided Notes: The Quadratic Formula | ||
| Notes: Solving Quadratic Equations | |||
| Solving Systems of Linear and Quadratic Equations | Guided Notes: Solving Systems of Linear and Quadratic Equations | ||
| Notes: Solving Quadratic Equations | |||
Algebra 1 Sem B | |||
Unit 9: Exponential Relationships | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 9 GUIDED NOTES | ||
Graphs of Exponential Relationships | Guided Notes: Graphs of Exponential Relationships | ||
| Worksheet: Graphs of Exponential Relationships | |||
| Khan Academy Video: Graphing Exponential Growth and Decay | |||
| Transforming Exponential Functions | Guided Notes: Transforming Exponential Functions | ||
| Notes: Summary of Function Transformations | |||
Modeling with Exponential Functions | Guided Notes: Modeling with Exponential Functions | ||
| Worksheet: Modeling with Exponential Functions | |||
| Notes: Computing Percent Change | |||
Comparing Exponential Functions | Guided Notes: Comparing Exponential Functions | ||
| Worksheet: Comparing Exponential Functions | |||
| Comparing Functions | Guided Notes: Comparing Functions | ||
Algebra 1 Sem B | |||
Unit 10: Descriptive Statistics | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 10 GUIDED NOTES | ||
| Visual Representations of Data | Guided Notes: Visual Representations of Data | ||
| Comparing Data Sets | Guided Notes: Comparing Data Sets | ||
| Data Sheet: Heights of Adults | |||
| Two-way Frequency Tables | Guided Notes: Two-way Frequence Tables | ||
Algebra 2 Sem A
Course Overview: Algebra 2, Semester A, is a single-semester course designed to cultivate and periodically assess your subject-matter knowledge while strengthening your mathematical skills. This course includes lessons that focus on the interpretation of polynomial and rational expressions. You’ll learn to create, graph, and solve equations and inequalities. You’ll also identify the key features of different types of functions and analyze them with tables, graphs, and equations.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Rewrite polynomial expressions to prove identities and theorems.
• Create and solve formulas for geometric series.
• Apply properties of complex numbers to quadratic solutions and polynomial identities.
• Solve rational and radical equations in one variable and create systems of equations and inequalities to determine the validity of solutions.
• Create equations in two or more variables and graph the equations to display their relationship.
• Solve polynomial, rational, and radical equations by using graphs and tables.
• Analyze polynomial functions, apply the remainder theorem, and identify zeros and factorizations in real and complex forms.
• Interpret the key features of polynomial, radical, and logarithmic functions with tables and graphs.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Algebra 2 Sem A | |||
Unit 1: Preparing for Algebra 2 Semester A | |||
Supplemental Resource Guide: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Rules for Exponents and Radicals | Math Module 10 – Simplifying Algebraic Expressions, Lesson 1 | ||
| Lesson & Practice: Simplifying Expressions | |||
Review: Equations and Inequalities | Lesson: Solving Absolute Value Equations and Inequalities | ||
| Video: Solving a multi-step equation with fractions | |||
| Video: Solving a multi-step inequalities with fractions | |||
| Lesson: Solving Quadratic Equations | |||
Interpreting Graphs to Solve Problems | Khan Academy Video: Interpreting Graphs | ||
| Worksheet & AK: Interpreting Graphs | |||
Function Notation | Lesson and Examples: Function Notation and Evaluation | ||
| Video: Find the Input of a Function Given the Output | |||
| Video: Functions – Inputs & Outputs | |||
Algebra 2 Sem A | |||
Unit 2: Polynomial and Rational Expressions | |||
Supplemental Resource Guide: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 2 GUIDED NOTES | ||
Interpreting Polynomials and Rational Expressions | Guided Notes: Interpreting Polynomials and Rational Expressions | ||
| Notes: Factoring Quadratic Expressions | |||
Polynomial Arithmetic and Structure | Guided Notes: Polynomial Arithmetic Structure | ||
| Notes: FOIL and The Distributive Property | |||
| Notes: Classifying Polynomials | |||
| Notes: Polynomial Identities | |||
Rewriting Rational Expressions | Guided Notes: Rewriting Rational Expressions | ||
| Notes: Long Division | |||
| Notes: Adding and Subtracting Fractions with Different Denominators | |||
Algebra 2 Sem A | |||
Unit 3: Manipulating and Interpreting Expressions | |||
Supplemental Resource Guide: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 3 GUIDED NOTES | ||
Creating and Solving Formulas for Geometric Series | Guided Notes: Creating and Solving Formulas for Geometric Series | ||
| Notes: Geometric Sequences | |||
| Notes: Geometric Series Formulas | |||
Operations with Complex Numbers | Guided Notes: Operations with Complex Numbers | ||
| Notes: Hierarchy of Numbers | |||
| Notes: Properties of Exponents | |||
Solving and Reasoning with Complex Numbers | Guided Notes: Solving and Reasoning with Complex Numbers | ||
| Notes: Factoring Methods | |||
| Notes: Factoring Quadratic Expressions | |||
| Notes: Solving Quadratic Equations | |||
Algebra 2 Sem A | |||
Unit 4: Equations and Inequalities | |||
Supplemental Resource Guide: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 4 GUIDED NOTES | ||
Solving Rational and Radical Equations | Guided Notes: Solving Rational and Radical Equations | ||
| Notes: Properties of Exponents | |||
| Notes: Properties of Rational Exponents | |||
| Creating One-Variable Equations and Inequalities | Guided Notes: Creating One-Variable Equations and Inequalities | ||
Creating Two-Variable Equations | Guided Notes: Creating Two-Variable Equations | ||
| Notes: Projectile Motion | |||
Solving Equations by Graphing | Guided Notes: Solving Equations by Graphing | ||
| Notes: Selecting an Appropriate Viewing Window for Graphs | |||
| Creating Systems of Equations and Inequalities | Guided Notes: Creating Systems of Equations and Inequalities | ||
Algebra 2 Sem A | |||
Unit 5: Function Representations | |||
Supplemental Resource Guide: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 5 GUIDED NOTES | ||
Identifying Polynomial Factors and Graphing Zeros | Guided Notes: Identifying Polynomial Factors and Graphing Zeros | ||
| Notes: Factoring Methods | |||
| Notes: Synthetic Division | |||
| Notes: The Rational Zeros Theorem | |||
| Notes: The Remainder Theorem | |||
Key Features of Polynomial Functions | Guided Notes: Key Features of Polynomial Functions | ||
| Notes: Factoring Methods | |||
| Notes: Synthetic Division | |||
| Notes: The Remainder Theorem | |||
| Key Features of Radical Functions | Guided Notes: Key Features of Radical Functions | ||
Exponential and Logarithmic Models | Guided Notes: Exponential and Logarithmic Models | ||
| Notes: Logarithmic Properties | |||
Key Features of Logarithmic and Piecewise Functions | Guided Notes: Key Features of Logarithmic and Piecewise Functions | ||
| Notes: Logarithmic Properties | |||
Algebra 2 Sem B
Course Overview: Algebra 2, Semester B, is a single-semester course designed to cultivate and periodically assess your subject-matter knowledge while strengthening your mathematical skills. This course includes lessons that focus on function transformations on the coordinate plane, the inverse of functions, and the properties of functions. You’ll learn to create and graph trigonometric functions and identify their key features. Toward the end of this course, you will build your understanding of the key concepts of probability and statistics
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Transform the graphs of functions in the coordinate plane.
• Find the inverses of simple rational, radical, and exponential functions.
• Compare and translate among representations of nonlinear functions.
• Connect the ideas of radian measure and arc length to the trigonometric origins of the unit circle while also proving and applying the Pythagorean identity
• Graph and identify the key features of trigonometric functions and their transformations.
• Interpret the key features of trigonometric functions and use those features to model periodic, real-world phenomena.
• Compare statistical models with experimental and observational data.
• Construct and analyze fair decisions and strategies based on probability concepts and methods.
• Fit data to a normal distribution and estimate population percentages and area using the normal distribution curve.
• Evaluate reports based on real-world data for accuracy, bias, and validity.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Algebra 2 Sem B | |||
Unit 6: Preparing for Algebra 2 Semester B | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
Translations and Transformations | Khan Academy Video: Shifting Parabolas | ||
| Desmos Calculator: Transforming Cubic Functions | |||
Trigonometric Ratios | Khan Academy Video: Trigonometric Ratios | ||
| Worksheet: Solving Right Triangles using Trig Ratios | |||
| Sampling Populations | Khan Academy Video: Sampling Populations | ||
| Comparing Probability and Relative Frequency | Lesson: Relative Frequency | ||
Algebra 2 Sem B | |||
Unit 7: Comparing and Building Functions | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 7 GUIDED NOTES | ||
Function Transformations | Guided Notes: Function Transformations | ||
| Notes: Summary of Function Transformations | |||
Inverse Functions | Guided Notes: Inverse Functions | ||
| Notes: Logarithmic Properties | |||
Revealing and Comparing Properties of Functions | Guided Notes: Revealing and Comparing Properties of Functions | ||
| Notes: Common Parent Functions | |||
Combining Functions | Guided Notes: Combining Functions | ||
| Notes: Common Parent Functions | |||
Algebra 2 Sem B | |||
Unit 8: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 8 GUIDED NOTES | ||
The Unit Circle | Guided Notes: The Unit Circle | ||
| Notes: Rationalizing the Denominator | |||
| Video: Trigonometric Ratios | |||
Graphing Trigonometric Functions | Guided Notes: Graphing Trigonometric Functions | ||
| Notes: Rationalizing the Denominator | |||
| Video: Features of Sinusoidal Functions | |||
| Video: Transforming Sine Functions | |||
| Video: Transforming Cosine Functions | |||
| Video: How to find the Amplitude and Period of a Cosine Function | |||
| Video: Graphing the Tangent Function | |||
| Interpreting Trigonometric Functions | Guided Notes: Interpreting Trigonometric Functions | ||
Algebra 2 Sem B | |||
Unit 9: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 9 GUIDED NOTES | ||
| Understanding Statistics | Guided Notes: Understanding Statistics | ||
Statistical Models | Guided Notes: Statistical Models | ||
| Notes: Probability Review | |||
Surveys, Experiments, and Studies | Guided Notes: Surveys, Experiments, and Studies | ||
| Article: Methodology Center | |||
Algebra 2 Sem B | |||
Unit 10: | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| ALL MODULES | UNIT 10 GUIDED NOTES | ||
| Evaluating Outcomes with Probability | Guided Notes: Evaluating Outcomes with Probability | ||
| Data and the Normal Distribution | |||
| Estimations from Sampling | Guided Notes: Estimations from Sampling | ||
| Evaluating Reports | |||
Geometry Resources
Geometry Training Webinars
Resource Links & Supplemental Materials
Geometry Sem A
Course Overview: Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, surfaces, and solids. In Geometry A, you will explore rigid and non-rigid transformations of figures in the coordinate plane and use them to establish congruence and similarity of triangles and other shapes. You will also prove theorems about lines, angles, triangles, and parallelograms, and build geometric constructions using both basic tools and modern technology. In conclusion, you will apply your knowledge of triangles as you investigate the mathematics of trigonometry.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Perform different types of transformations in the coordinate plane.
• Describe congruence in terms of rigid motions.
• Prove geometric theorems.
• Make geometric constructions.
• Describe similarity in terms of similarity transformations.
• Prove theorems involving similarity.
• Define trigonometric ratios and solve problems involving right triangles.
• Apply trigonometry to general triangles.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Geometry A | |||
Unit 1: Introduction to Geometry and Transformations | |||
Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Introduction to Geometry | Guided Notes: Introduction to Geometry | ||
| Basic Geometric Concepts | Guided Notes: Basic Geometric Concepts | ||
| Representing Transformations in a Plane | Guided Notes: Representing Transformations in a Plane | ||
| Returning a Polygon to Its Original Position | Guided Notes: Returning a Polygon to Its Original Position | ||
| Defining Rigid Transformations | Guided Notes: Defining Rigid Transformations | ||
| Predicting Results of Rigid Transformations | Guided Notes: Predicting Results of Rigid Transformations | ||
Geometry A | |||
Unit 2: Congruence and Constructions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Lines, Angles, and Mathematical Proofs | Guided Notes: Lines, Angles, and Mathematical Proofs | ||
| Geometric Constructions with Lines and Angles | Guided Notes: Geometric Constructions with Lines and Angles | ||
Transformations and Congruence | Guided Notes: Transformations and Congruence | ||
| Worksheet: Congruent Figures | |||
| ASA, SAS, and SSS Criteria for Congruent Triangles | Guided Notes: ASA, SAS, and SSS Criteria for Congruent Triangles | ||
Geometry A | |||
Unit 3: Proving Theorems in Geometry | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Proving Theorems about Lines and Angles | Guided Notes: Proving Theorems about Lines and Angles | ||
| Proving Theorems about Triangles | Guided Notes: Proving Theorems about Triangles | ||
Proving Theorems about Parallelograms | Guided Notes: Proving Theorems about Parallelograms | ||
| Khan Academy Video: Sum of the Exterior Angles of a Polygon | |||
| Worksheet: Exterior Angles of Polygons | |||
Geometry A | |||
Unit 4: Similarity and Proof | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Properties of Dilations | Guided Notes: Properties of Dilations | ||
Similarity and Similarity Transformations | Guided Notes: Similarity and Similarity Transformations | ||
| Worksheet: Sequences of Transformations | |||
| Similarity, Proportion, and Triangle Proofs | Guided Notes: Similarity, Proportion, and Triangle Proofs | ||
| Using Congruence and Similarity with Triangles | Guided Notes: Using Congruence and Similarity with Triangles | ||
Geometry A | |||
Unit 5: Trigonometry and Geometric Modeling | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Trigonometric Ratios | Guided Notes: Trigonometric Ratios | ||
| Sine and Cosine of Complementary Angles | Guided Notes: Sine and Cosine of Complementary Angles | ||
Solving Problems with Right Triangles | Guided Notes: Solving Problems with Right Triangles | ||
| Worksheet: Using Tangent to Determine Angle Measure | |||
| Proving the Laws of Sines and Cosines | Guided Notes: Proving the Laws of Sines and Cosines | ||
| Applying the Laws of Sines and Cosines | Guided Notes: Applying the Laws of Sines and Cosines | ||
Geometry Sem B
Course Overview: Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, surfaces, and solids. In Geometry B, you will review the volume formulas for some common solid figures as you extend your knowledge of two-dimensional shapes to three-dimensional shapes. You will also transition from primarily Euclidean geometry to analytical geometry—a segment of geometry focused on numerical measurements and coordinate algebra. You will use analytical geometry and observations to investigate the properties of circles and constructions related to circles. Geometry B closes with a study of independent and conditional probability and how you can use probability models to represent situations arising in everyday life.
Graded Assignments:
• Mastery Test
• Unit Activity
• Post Test
Course Goals: By the end of this course, you will be able to do the following:
• Explain volume formulas and use them to solve problems.
• Explain relationships between two-dimensional and three-dimensional objects.
• Translate between the geometric description and the equation for a conic section.
• Use coordinates to prove simple geometric theorems algebraically.
• Apply theorems about circles.
• Find arc lengths and areas of sectors of circles.
• Apply geometric concepts in modeling situations.
• Use independence and conditional probability to interpret data.
• Use the rules of probability to compute probabilities of compound events in a uniform probability model.
• Use probability to evaluate outcomes of decisions.
Tips for Student Success:
Notebook: Students are encouraged to keep a notebook throughout the course. Students may take notes on terminology and worked out examples.
Guided Notes: Included in some unit modules, but not all. These are located in the Resources folder of the unit module. If available, students are encouraged to print them out and complete them as they follow along with the tutorial.
Desmos: Students are encouraged to use the graphing tool, https://www.desmos.com/calculator.
Lesson Activities: Included in some unit module tutorials, but not all. The Lesson Activities are written assignments that allow the student to develop new learning in a constructivist way or apply learning from the direct instruction in a significant way. In either case, the Lesson Activities are designed to be an authentic learning and assessment tool: doing something real to develop new understanding while providing a subjective measure of that understanding. Students are encouraged to seek support from a teacher or tutor as needed.
Unit Activities: The culminating activity at the end of each unit aims to deepen understanding of some key unit objectives and either tie them together or tie them to other course concepts. The Unit Activities entail authentic performance and support development of twenty-first-century skills. The student version includes a simple rubric, if appropriate, while teacher versions may contain more complex rubrics. Unit activities supply a document that students can use offline to record results. Students are encouraged to seek support from a teacher or tutor as needed.
Geometry B | |||
Unit 6: Extending to Three Dimensions | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Explaining Volume Formulas | Guided Notes: Explaining Volume Formulas | ||
| Using Volume Formulas | Guided Notes: Using Volume Formulas | ||
Cross Sectios of Three-Dimesional Objects | Guided Notes: Cross Section of Three-Dimensional Objects | ||
| Worksheet: Rotations of Two-Dimensional Shapes | |||
| Worksheet: Two-Dimensional Cross-Sections | |||
Geometry B | |||
Unit 7: Coordinate Geometry | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Equation of a Circle | Guided Notes: Equation of A Circle | ||
| Using Coordinates to Prove Geometric Theorems | Guided Notes: Using Coordinates to Prove Geometric Theorems | ||
| Slope Criteria for Parallel and Perpendicular Lines | Guided Notes: Slope Criteria for Parallel and Perpendicular Lines | ||
Dividing a Line Segment Based on a Ratio | Guided Notes: Dividing a Line Segment Based on a Ratio | ||
| Khan Academy Video: Midpoint Formula | |||
| Worksheet: Deriving the Midpoint Formula | |||
| Using Coordinates to Compute Perimeters and Areas | Guided Notes: Using Coordinates to Compute Perimeters and Areas | ||
Geometry B | |||
Unit 8: Circles | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Relationships among Inscribed Angles, Radii, and Chords | Guided Notes: Relationships among Inscrived Angles, Radii, and Chords | ||
| Inscribed and Circumscribed Circles | Guided Notes: Inscribed and Circumbscribed Circles | ||
Relating Arc Length and Area to Radius | Guided Notes: Relating Arc Lenght and Area to Radius | ||
| Worksheet: Area of Composite Figures | |||
Geometry B | |||
Unit 9: Independent and Conditional Probability | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Sample Space | Guided Notes: Sample Space | ||
| Applying the Addition Rule for Probability | Guided Notes: Applying the Addition Rule for Proability | ||
| Applying the Multiplication Rule for Probability | Guided Notes: Applying the Multiplication Rule for Probability | ||
| Independent Events | Guided Notes: Independent Events | ||
| Using Counting Techniques to Determine Probability | Guided Notes: Using Counting Techniques to Determine Probability | ||
| Conditional Probability | Guided Notes: Conditional Probability | ||
Geometry B | |||
Unit 10: Applying Probability | |||
| Supplemental Resource Guide | |||
| Module | Pre-Requisite Resources | Module Resources | Supplemental Module Resources |
| Interpreting Two-Way Frequency Tables | Guided Notes: Interpreting Two-Way Frequency Tables | ||
| Using Probability to Make Fair Decisions | Guided Notes: Using Probability to Make Fair Decisions | ||
| Using Probability to Analyze Decisions and Strategies | Guided Notes: Using Probability to Analyze Decisions and Strategies | ||
| Applying Conditional Probability and Independent Probability | Guided Notes: Applying Conditional Probability and Independent Probability | ||
| Interpreting Conditional Probability | Guided Notes: Interpreting Conditional Probability | ||