Unit 2

Linear Equations and Systems

Unit Narrative

In this unit, students examine solving and graphing linear equations and systems of linear equations.

The unit builds on learning from middle school when students used variables to write equations, manipulated equations using valid moves such as the distributive property, and solved basic systems of linear equations using graphs and substitution.

In the first section, students recall writing equations to represent situations. In the second section, they use valid moves to write equivalent equations that can be used to solve for unknown values or to isolate variables. The third section...

to access Pre-Unit Assessments.

Section A

Section Goals

Section Narrative

In this section, students recall how to write expressions and equations from situations that can vary or have unknown quantities. They begin by modeling situations using self-defined variables and constraints that fit the situation. Then, they use tables to examine patterns of values and use those to write equations. They recall what it means for a value to be a...

Let’s write expressions to estimate the cost of a party.

Let's look at how equations can help us describe relationships and constraints.

Let's use patterns to help us write equations.

Let’s recall what we know about solutions to equations.

Let’s graph equations in two variables.

to access Section Checkpoints.

Section A

Let’s write expressions to estimate the cost of a party.

Let's look at how equations can help us describe relationships and constraints.

Let's use patterns to help us write equations.

Let’s recall what we know about solutions to equations.

Let’s graph equations in two variables.

Section B

Section Goals

Section Narrative

In this section, students make use of equivalent equations to solve for variables. Initially, students solve equations for an unknown quantity, then later solve for a variable in terms of another variable to reinterpret situations and find values more efficiently. Then, students draw closer connections between graphs and equations in both standard and slope-intercept form.

Let's investigate what makes two equations equivalent.

Let’s think about why some steps for rewriting equations are valid but other steps are not.

Let’s rearrange equations to pin down a certain quantity.

Let’s solve an equation for one of the variables.

Let’s investigate what graphs can tell us about the equations and relationships they represent.

Let's analyze different forms of linear equations and how the forms relate to their graphs.

to access Section Checkpoints.

Section B

Let's investigate what makes two equations equivalent.

Let’s think about why some steps for rewriting equations are valid but other steps are not.

Let’s rearrange equations to pin down a certain quantity.

Let’s solve an equation for one of the variables.

Let’s investigate what graphs can tell us about the equations and relationships they represent.

Let's analyze different forms of linear equations and how the forms relate to their graphs.

Section C

Section Goals

Section Narrative

In this section, students revisit systems of equations and develop algebraic methods for finding any solutions. In earlier grades, students explored solving systems using graphs and substitution methods. In addition to revisiting these concepts, students use what they have learned in previous sections about writing equivalent equations to solve systems by using elimination methods.

After looking at solutions to systems...

Let’s recall what it means to solve a system of linear equations and how to do it by graphing.

Let’s use substitution to solve systems of linear equations.

Let’s investigate how adding or subtracting equations can help us solve systems of linear equations.

Let’s think about why adding and subtracting equations work for solving systems of linear equations.

Let's find out how multiplying equations by a factor can help us solve systems of linear equations.

Let's find out how many solutions a system of equations could have.

to access Section Checkpoints.

Section C

Let’s recall what it means to solve a system of linear equations and how to do it by graphing.

Let’s use substitution to solve systems of linear equations.

Let’s investigate how adding or subtracting equations can help us solve systems of linear equations.

Let’s think about why adding and subtracting equations work for solving systems of linear equations.

Let's find out how multiplying equations by a factor can help us solve systems of linear equations.

Let's find out how many solutions a system of equations could have.

Section D

Section Narrative

In the final section, students have the opportunity to apply their thinking from throughout the unit. Because this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.

Let's figure out some systems.

Let’s graph and explore systems that make a pattern.

to access Section Checkpoints.

Section D

Let's figure out some systems.

Let’s graph and explore systems that make a pattern.

to access End-of-Unit Assessments.

Navigation

Gradeband

Course

Unit

Settings

Audience

Assessment Access

Unit | Loading...

Linear Equations and Systems

Unit Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative

Section Narrative

Unit 2 Resources

About Unit 2

Other Resources

Section Goals

Section Narrative

Section Narrative

Section Goals

Section Narrative

Section Goals

Section Narrative