Created on: March 2, 2015

Website Address: https://library.curriki.org/oer/Proportional-Relationships

TABLE OF CONTENTS

- Cluster - MA.8.CCSS.Math.Content.8.NS The Number System
- Curriki Project Based Geometry
- Cluster - MA.8.CCSS.Math.Content.8.EE Expressions and Equations
- Cluster - MA.8.CCSS.Math.Content.8.F Functions
- Cluster - MA.8.CCSS.Math.Content.8.G Geometry
- Cluster - MA.8.CCSS.Math.Content.8.SP Statistics and Probability

- Quiz - 8.EE Expressions and Equations Cluster: Work with radicals and integer exponents. Standards: 8.EE.1, 8.EE.2, 8.EE.3, 8.EE.4
- Quiz: 8.EE Expressions and Equations: Understand the connections between proportional relationships, lines, and linear equations Standards: 8.EE.5, 8.EE.6
- Quiz - 8.EE Expressions and Equations: Understand the connections between proportional relationships, lines, and linear equations Standards: 8.EE.7a, 8.EE.7b, 8.EE.8a, 8.EE.8b, 8.EE.8c
- 8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- 8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number.
- 8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities
- 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.
- 8.EE.5 Understand the connections between proportional relationships: Graph proportional relationships, interpreting the unit rate as the slope of the graph.
- 8.EE.6 Understand the connections between proportional relationships: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line
- 8.EE.7.a Analyze and solve linear equations and pairs of simultaneous linear equations: Solve linear equations in one variable
- 8.EE.7.b Analyze and solve linear equations and pairs of simultaneous linear equations: Solve linear equations with rational number coefficients
- 8.EE.8.a Analyze and solve linear equations and pairs of simultaneous linear equations: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs
- 8.EE.8.b Analyze and solve linear equations and pairs of simultaneous linear equations: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations.
- 8.EE.8.c Analyze and solve linear equations and pairs of simultaneous linear equations: Solve real-world and mathematical problems leading to two linear equations in two variables.

- Quiz - 8.NS The Number System Cluster: Know that there are numbers that are not rational, and approximate them by rational numbers. Standards: 8.NS.1, 8.NS.2
- 8.NS.1 Know that numbers that are not rational are called irrational.
- 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers.

IN COLLECTION

By Sabrina Bennett and Courtney Bryand

In this unit students will discover how everyday situations can be represented mathematically through proportional relationships. They will explore the use of ratios, rates and proportions as a problem solving tools. Students will examine proportional relationships in a variety of situations including percents, scaling, and purchasing situation (tax, tip, discount, best value etc). This unit provides two levels of learning activities. The seventh grade activities incorporate the seventh grade standards, and seventh grade pre-AP/GT activities compacts the seventh grade curriculum to incorporate both seventh and eighth grade standards. Pre-AP/GT activities can also be used as extension to the 7th grade curriculum. The unit culminates in a final performance assessment that challenges students to redesign a room. Students make decisions about paint and flooring options, and discover their costs as a designer on a RE-Design TV show. In the assessments students will demonstrate their understanding of scaling, unit rates, discounts, and sales tax.

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