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Module 1 - Relationships Between Quantities & Reasoning with Equations & Their Graphs



Module 1 - Relationships Between Quantities & Reasoning with Equations & Their Graphs

(Games in ORANGE)

Topic A - Introduction to Functions Studied This Year

N-Q.1 - Use units as a way to understand problems.

N-Q.2 - Define appropriate quantities for the purpose of descriptive modeling.

A-CED.2 - Create equations in two or more variables to represent relationships between quantities.  Graph equations on coordinate axes with labels and scales.

 

A-REI.10-Graph an Equation by Using a Table

A-REI.10-Determine if a coordinate pair is a solution to an equation by using its graph

Topic B - The Structure of Expressions

 

LESSON 8 - Adding & Subtracting Polynomials

Using the Distributive Property

Add polynomials by combining like terms

Subtract polynomials by changing subtraction to addition

LESSON 9  - Multiplying Polynomials

Multiply polynomials using an area model

Multiply polynomials using distributive property

 

Topic C - Solving Equations and Inequalities

 

A-CED.3 - Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

A-CED.4 - Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

A-REI.1 - Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A-REI.3 - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A-REI.5 - Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

A-REI.6  - Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

A-REI.10 - Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

A-REI.12 - Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

 Compound Inequalities Graphing Game

Slope-Intercept Basketball

LESSON 17 - Factoring Trinomials

MangaHigh.com - The Wrecks Factor Game

 

Algebra Tiles Manipulative

 

LESSON 21 - Solution Sets to Inequalities in Two Variables

 

 Education Portal Video

Topic D - Creating Equations to Solve Problems

A-REI.3 - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

 

 

Related Files

M1_L17_Factoring Trinomials Using Algebra_Tiles (PPT 1.86 MB)

 


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