This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Suppose we take a square piece of paper and fold it in half vertically and diagonally, leaving the creases shown below: Next we make a fold that joins ...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The local swim center is making a special offer. They usually charge \$7 per day to swim at the pool. This month swimmers can pay an enrollment fee of ...

This 8th grade Math parent guide explains the content in straightforward terms so they can support their children’s learning at home and will encourage caretaker engagement with lessons.

Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.

In CK-12 Middle School Math Concepts Grade 8, the learning content is divided into concepts. Each concept is complete and whole providing focused learning on an indicated objective. Theme-based concepts provide students with experiences that integrate the content of each concept. Students are given opportunities to practice the skills of each concept through real-world situations, examples, guided practice and explore more practice. There are also video links provided to give students an audio/visual way of connecting with the content.

This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations.

This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

This lesson unit is intended to help you assess how well students are able to:

* Classify solutions to a pair of linear equations by considering their graphical representations.
* Use substitution to complete a table of values for a linear equation.
* Identify a linear equation from a given table of values.
* Graph and solve linear equations.

This lesson unit is intended to help you assess how well students are able to:

* Interpret a situation and represent the variables mathematically.
* Select appropriate mathematical methods to use.
* Explore the effects of systematically varying the constraints.
* Interpret and evaluate the data generated and identify the break-even point, checking it for confirmation.
* Communicate their reasoning clearly.

In this lesson, students learn the elimination method for solving a system of linear equations. Students use properties of rational numbers to find a solution to a system, if it exists, through computation using substitution and elimination methods.

Sample Learning Goals
Use a balance model to solve an equation for an unknown, and justify your strategies for solving
Use proportional reasoning to determine the value of a single object

Sample Learning Goals
Solve and manipulate algebraic equations by applying properties of real numbers (in particular, the inverse properties of addition and multiplication) and properties of equality
Solve and manipulate algebraic equations by substituting different values for a variable
Use a balance model to solve an equation for an unknown, and justify your strategies for solving
Solve an equation using only universal operations

In this lesson, students graph two equations and find the point of intersection. Students identify the point of intersection of the two lines as the solution to the system. Students verify by computation that the point of intersection is a solution to each of the equations in the system.

This video teaches students how to find the slope of a line using two points from a table.  There are several ways to find the slope of a line but this video teaches them to use rise over run when given a table of points.

This task can be used to both assess student understanding of systems of linear equations or to promote discussion and student thinking that would allow for a stronger solidification of these concepts.

For this activity, students select a cellular plan considering the cost of the phone and plan over time. Students create tables, graphs, and equations and compare paying for the phone up front or with installment payments using popular cellular companies.

Sample Learning Goals
Explain how the slope of a graphed line can be computed.
Graph a line given an equation in either slope-intercept or point-slope form.
Write an equation in slope-intercept or point-slope form given a graphed line.
Predict how changing variables in a linear equation will affect the graphed line.

Sample Learning Goals
Graph a line given an equation in slope-intercept form.
Write an equation in slope-intercept form given a graphed line.
Predict how changing the values in a linear equation will affect the graphed line.
Predict how changing the graphed line will affect the equation.

This task requires students to find linear equations with different numbers of solutions.

In this task students use linear equations to solve a real world problem.