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: For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The sq...

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.

Research the cost of travel to two major cities. Using your research, write an equation for the cost of the trip per person, in terms of the number of days that you stay. Compare the cost of the trips using equations, tables, and graphs.

Students examine how different balls react when colliding with different surfaces, giving plenty of opportunity for them to see the difference between elastic and inelastic collisions, learn how to calculate momentum, and understand the principle of conservation of momentum.

This lesson unit is intended to help teachers assess how well students are able to create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

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.

For this lesson, students set up and solve equations to solve mixture problems.

This document provides sample performance tasks/assessment items for Common Core State Standards Grade 8 Math provided by the Louisiana Department of Eduation. Both questions and exemplary responses are included.

This task involves solving equations with rational coefficients, and requires students to use the distributive law ("combine like terms"). The equation also provides opportunities for students to observe structure in the equation to find a quicker solution, as in the second solution presented.

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

Sample Learning Goals
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
Build a system of equations
Determine the solution set of a system of equations

Students will extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the connections between proportional relationships, lines, and linear equations in this module.

For this lesson, students determine the number of hours of HD and/or SD programming a DVR can record.

Measure the distance between two rain gauges to estimate how much precipitation an intervening town receives by deriving a linear function.

Often students are confused about where to start when solving a multi-step equation. In this lesson the equation is labeled as a party. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.

Students will review the definition of 'like terms' and combining like terms. They will then learn to apply this to adding polynomials. Students will have an opportunity to work practice problems as they are viewing a PowerPoint presentation of the lesson. They will be adding polynomials using both the horizontal method and the vertical method.