# OnTRACK Grade 8 Math: Proportionality # OnTRACK Grade 8 Math: Proportionality

• Subject(s): Math
• Grade range: 6-12
• Release date: 08-22-2015
• Tags: Data sets, functional, relationship, graphs, dilation, reflection, translation, graphing, coordinate plane, enlargement, reduction, coordinate dilation, Center of Dilation, Multiple representations, Linear Functions, rate of change, slope, representations, verbal description, graph, table, equation, predict, justify, data, proportional, non-proportional, OnTRACK Grade 8 Math, linear function, similar figures, similar shapes, proportion, unit rate, scatterplot, trend line, linear association, bivariate data

## Description

Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.

## Standards

M.8.5.G, M.8.3.B, M.8.3.C, M.8.10.A, M.8.10.B, M.8.4.A, M.8.5.A, M.8.5.B, M.8.5.I, M.A.2.B, M.8.5.F, M.8.5.H, M.8.4.C, M.8.3.A, M.7.5.C, M.8.4.B, M.8.5.C, M.8.5.D, M.8.11.A

## Resources Resource ID: M8M2L1* Grade Range: 8 By: IPSI Developer Subject: Math
Given a pair of similar figures, including dilations, students will be able to generalize that the lengths of corresponding sides are proportional. Resource ID: M8M2L2* Grade Range: 8 By: IPSI Developer Subject: Math
Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems. Resource ID: M8M2L3* Grade Range: 8 By: IPSI Developer Subject: Math
Given a coordinate plane or coordinate representations of a dilation, the student will graph dilations and use those graphs to solve problems. Resource ID: M8M2L4* Grade Range: 8 By: IPSI Developer Subject: Math
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change. Resource ID: M8M2L5* Grade Range: 8 By: IPSI Developer Subject: Math
Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line. Resource ID: M8M2L6* Grade Range: 6-8 By: IPSI Developer Subject: Math
Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations. Resource ID: M8M2L8* Grade Range: 8 By: IPSI Developer Subject: Math
Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description. Resource ID: A1M2L7* Grade Range: 9-12 By: IPSI Developer Subject: Math
Given data in the form of an equation, the student will use the equation to interpret solutions to problems. Resource ID: M8M2L13* Grade Range: 8 By: IPSI Developer Subject: Math
Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association. Resource ID: M8M2L14* Grade Range: 8 By: IPSI Developer Subject: Math
Given problem solving situations, the student will solve the problems by comparing and contrasting proportional and non-proportional linear relationships. Resource ID: M8M2L15* Grade Range: 8 By: IPSI Developer Subject: Math
The student is expected to gather and record data & use data sets to determine functional relationships between quantities.