Standard 1: Interpret and rewrite algebraic expressions and equations in equivalent forms.

Students are given the slope formula and the slope-intercept equation and are asked to solve for specific variables.

Type: Formative Assessment

Students are given three literal equations, each involving three variables and either addition or subtraction, and are asked to solve each equation for a specific variable.

Type: Formative Assessment

Students are given three literal equations, each involving three variables and either multiplication or division, and are asked to solve each equation for a specific variable.

Type: Formative Assessment

Students are given a literal linear equation and asked to solve for a specific variable.

Type: Formative Assessment

Students are asked to interpret the parts of an equation used to calculate the total purchase price including tax of a set of items.

Type: Formative Assessment

Students are asked to find the difference of two polynomials and explain if the difference of polynomials will always result in a polynomial.

Type: Formative Assessment

Students are asked to rewrite numerical expressions to find efficient ways to calculate.

Type: Formative Assessment

Students are asked to multiply polynomials and explain if the product of two polynomials always results in a polynomial.

Type: Formative Assessment

Students are asked to find the width of a rectangle whose area and length are given as polynomials.

Type: Formative Assessment

Students are asked to identify equivalent quadratic expressions and to name the form in which each expression is written.

Type: Formative Assessment

Students are asked to rewrite quadratic expressions and identify parts of the expressions.

Type: Formative Assessment

Students are asked to multiply polynomials and explain if the product of polynomials always results in a polynomial.

Type: Formative Assessment

Students are asked to find the sum of two polynomials and explain if the sum of polynomials always results in a polynomial.

Type: Formative Assessment

Students are asked to solve the formula for the surface area of a cube for e, the length of an edge of the cube.

Type: Formative Assessment

Students are asked to explain how parts of an algebraic expression relate to the number and type of symbols in a sequence of diagrams.

Type: Formative Assessment

Students are asked to determine how the volume of a cone will change when its dimensions are changed.

Type: Formative Assessment

Students are given a literal equation involving four variables and are asked to solve for the variable in the quadratic term.

Type: Formative Assessment

This will be a lesson designed to introduce students to the concept of 9.81 m/s² as a sort of clock that can be used for solving all kinematics equations where a = g.

Type: Lesson Plan

Matching Trinomials with Area Models_2023

Type: Lesson Plan

In this lesson students will learn how to add and subtract polynomials.

Type: Lesson Plan

This lesson will cover sketching the graphs of polynomials while in factored form without the use of a calculator.

Type: Lesson Plan

This lesson is designed to help students solve real-world problems involving compound and continuously compounded interest. Students will also be required to translate word problems into function models, evaluate functions for inputs in their domains, and interpret outputs in context.

Type: Lesson Plan

The topic of this MEA is work and power. Students will be assigned the task of hiring employees to complete a given task. In order to make a decision as to which candidates to hire, the students initially must calculate the required work. The power each potential employee is capable of, the days they are available to work, the percentage of work-shifts they have missed over the past 12 months, and the hourly pay rate each worker commands will be provided to assist in the decision process. Full- and/or part-time positions are available. Through data analysis, the students will need to evaluate which factors are most significant in the hiring process. For instance, some groups may prioritize speed of work, while others prioritize cost or availability/dependability.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Students will solve multiple systems of equations using two methods: graphing and substitution. This will help students to make a connection between the two methods and realize that they will indeed get the same solution graphically and algebraically.  Students will compare the two methods and think about ways to decide which method to use for a particular problem. This lesson connects prior instruction on solving systems of equations graphically with using algebraic methods to solve systems of equations.

Type: Lesson Plan

The Turning Tires MEA provides students with an engineering problem in which they must work as a team to design a procedure to select the best tire material for certain situations. The main focus of the MEA is applying surface area concepts and algebra through modeling.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Students will tackle a real-world situation regarding starting a business that requires a rational equation to evaluate the plan. Students will determine a method and set of steps for solving rational equations and then revisit the original scenario and solve using the new method they have synthesized. Students will also explore, through collaborative learning structures, the concept of extraneous solutions.

Type: Lesson Plan

This lesson addresses factoring when a = 1 and also when a > 1.  Part 1 (Algebra Tiles) contains examples when a = 1 and a >1. Part 2 (tables) contains only examples when
a > 1. 

In part 1, students will use algebra tiles to visually see how to factor trinomials (a = 1 and a > 1). In part 2, they will use a 3 x 3 table (a > 1). This process makes students more confident when factoring because there is less guess and check involved in solving each problem.

Type: Lesson Plan

Learn how to use multistep factoring to factor quadratics in this interactive tutorial.

This is part 5 in a five-part series. Click below to open the other tutorials in this series.

• Part 1: The Diamond Game: Factoring Quadratics when a = 1
• Part 2: Factoring Polynomials Using Special Cases
• Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
• Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
• Part 5: Multistep Factoring: Quadratics (current tutorial)

Type: Original Student Tutorial

Learn to factor quadratic trinomials when the coefficient a does not equal 1 by using the Snowflake Method in this interactive tutorial.

This is part 4 in a five-part series. Click below to open the other tutorials in this series.

• Part 1: The Diamond Game: Factoring Quadratics when a = 1
• Part 2: Factoring Polynomials Using Special Cases
• Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
• Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method (Current Tutorial)
• Part 5: Multistep Factoring: Quadratics

Type: Original Student Tutorial

Learn how to factor quadratic polynomials when the leading coefficient (a) is not 1 by using the box method in this interactive tutorial.

This is part 3 in a five-part series. Click below to open the other tutorials in this series.

• Part 1: The Diamond Game: Factoring Quadratics when a = 1
• Part 2: Factoring Polynomials Using Special Cases
• Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method (Current Tutorial)
• Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
• Part 5: Multistep Factoring: Quadratics

Type: Original Student Tutorial

Learn how to factor quadratics when the coefficient a = 1 using the diamond method in this game show-themed, interactive tutorial.

This is part 1 in a five-part series. Click below to open the other tutorials in this series.

• Part 1: The Diamond Game: Factoring Quadratics when a = 1 (Current Tutorial)
• Part 2: Factoring Polynomials Using Special Cases
• Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
• Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
• Part 5: Multistep Factoring: Quadratics

Type: Original Student Tutorial

Learn to identify and interpret parts of linear expressions in terms of mathematical or real-world contexts in this original tutorial.

Type: Original Student Tutorial

Learn how to add and subtract polynomials in this online tutorial. You will learn how to combine like terms and then use the distribute property to subtract polynomials.

This is part 2 of a two-part lesson. Click below to open part 1.

• Introduction to Polynomials, Part 1

Type: Original Student Tutorial

Learn how to identify monomials and polynomials and determine their degree in this interactive tutorial.

This is part 1 in a two-part series. Click here to open Part 2.

Type: Original Student Tutorial

Use long division to rewrite a rational expression of the form a(x) divided by b(x) in the form q(x) plus the quantity r(x) divided by b(x), where a(x), b(x), q(x), and r(x) are polynomials with this interactive tutorial.

Type: Original Student Tutorial

Learn how to factor quadratic polynomials that follow special cases, difference of squares and perfect square trinomials, in this interactive tutorial.

This is part 2 in a five-part series. Click below to open the other tutorials in this series.

• Part 1: The Diamond Game: Factoring Quadratics when a = 1
• Part 2: Factoring Polynomials Using Special Cases (Current Tutorial)
• Part 3: Factoring Quadratics When the Coefficient a Does Not Equal 1: The Box Method
• Part 4: Factoring Polynomials when a Does Not Equal 1: Snowflake Method
• Part 5: Multistep Factoring: Quadratics

Type: Original Student Tutorial

Listen in as a computing enthusiast describes how hexadecimal notation is used to express big numbers in just a little space.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Have a need for speed? Get out your spreadsheet! Race car drivers use algebraic formulas and spreadsheets to optimize car performance.

Type: Perspectives Video: Professional/Enthusiast

If you are having trouble understanding variables, this video might help you see the light.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Teaching Idea

In this tutorial, students learn an algebraic approach to understanding Phi, one of the most amazing numbers in mathematics.

Type: Tutorial

Students will learn to solve a literal equation. 

Type: Tutorial

This resource discusses dividing a polynomial by a monomial and also dividing a polynomial by a polynomial using long division.

Type: Tutorial

Literal equations are formulas for calculating the value of one unknown quantity from one or more known quantities. Variables in the formula are replaced by the actual or 'literal' values corresponding to a specific instance of the relationship.

Type: Video/Audio/Animation