Created on: October 31, 2009

Website Address: https://library.curriki.org/oer/22-Supplementary-Resources

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.F Functions: Define, evaluate, and compare functions: Standards: 8.F.1, 8.F.2, 8.F.3
- Quiz - 8.F Functions: Use functions to model relationships between quantities Standards: 8.F.4, 8.F.5
- 8.F.1 Define, evaluate, and compare functions: Understand that a function is a rule that assigns to each input exactly one output.
- 8.F.2 Define, evaluate, and compare functions: Compare properties of two functions each represented in a different way
- 8.F.3 Define, evaluate, and compare functions: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line
- 8.F.4 Use functions to model relationships between quantities: Construct a function to model a linear relationship between two quantities.
- 8.F.5 Use functions to model relationships between quantities: Describe qualitatively the functional relationship between two quantities by analyzing a graph

- 8.EE.5 Curriculum Unit
- Proportional Relationships
- Pythagorean Theorem and Similar Triangles: Karlie Turner- Lesson Plan 3
- 2.1 - 2.6: Unit on Proportional Reasoning, Rates, Ratios and Percents

- Institute for Education Sciences principles for instructional design
- 2.1-2.6 Complete Student Packet
- 2.1 Introduction to Proportions and Percents--Sample Lesson
- 2.1 Powerpoint
- 2.1 Supplementary Resources
- 2.2 Proportions (continued) and Intro to Unit Rate
- 2.2 Powerpoint
- 2.2 Supplementary Resources
- 2.3 Unit Rates and Proportions (Making Connections)
- 2.3 Powerpoint
- 2.3 Supplementary Resources
- 2.4 Rates: Applications and Multiple Representations
- 2.4 Supplementary Resources
- 2.5 Mastery of Percent Applications
- 2.5 Supplementary Resources
- 2.6 Rates, Graphs, and Linear Equations
- Open Format Copies of Materials

Extra materials for Lesson 2.2

Beginning-of-class Bellwork for Lesson 2.2. Activates prior knowledge of unit rates (a major topic in 2.2).

Companion PowerPoint for 2.2 Bellwork. Free yourself to walk the room while students work. Let the computer stay in front of the class and do the "writing" for you.

When enlarging a picture to make a mural, should you multiply each dimension by a given amount, or add the given amount to each dimension? Students try using both methods to enlarge a simple picture and discover that multiplying keeps the shapes in the picture proportional. This is a practical application of the equivalent fractions method discovered in Lesson 2.1. (If a group finishes 2.2 early, and has ALREADY mastered the 2.1 Flashcards, then this extension is for them.)