Created on: March 17, 2015

Website Address: https://library.curriki.org/oer/Teacher-Resources-87839

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.

- Quiz - 8.G Geometry: Understand congruence and similarity using physical models, transparencies, or geometry software Standards: 8.G.1a, 8.G.1b, 8.G.1c, 8,G.2, 8.G.3, 8.G.4, 8.G.5
- Quiz - 8.G Geometry: Understand and apply the Pythagorean Theorem: Standards: 8.G.6, 8.G.7, 8.G.8
- Quiz - 8.G Geometry: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres: 1 Standard: 8.G.9
- 8.G.1 Understand congruence and similarity using physical models, transparencies, or geometry software
- 8.G.2 Understand congruence and similarity using physical models, transparencies, or geometry software: Two-dimensional figures
- 8.G.3 Understand congruence and similarity using physical models, transparencies, or geometry software: Effects of Transformations
- 8.G.4 Understand congruence and similarity using physical models, transparencies, or geometry software: Similarity with Transformations
- 8.G.5 Understand congruence and similarity using physical models, transparencies, or geometry software: Use informal arguments
- 8.G.6 Understand and apply the Pythagorean Theorem
- 8.G.7 Understand and apply the Pythagorean Theorem: Determine unknown side lengths and three dimensions.
- 8.G.8 Understand and apply the Pythagorean Theorem: Distance between two points
- 8.G.9 Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

Proportional Relationships

Supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.

• 2 Reason abstractly and quantitatively.

• 4 Model with mathematics.

• 5 Use appropriate tools strategically.

• 6 Attend to precision.

• 7 Look for and make use of structure.

Worksheet, Formative Assessment, and Activities from orgLib.comThese worksheets can be used in multiple modes. See this page for how it works: http://www.orglib.com/howitworks_s.html

By Sabrina Bennett and Courtney BryandIn 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.These works are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Math Lesson plan on the Pythagorean Theorem and Similar Triangles The student will be able to calculate understand and apply the Pythagorean Theorem and use similar triangles to solve real world problems that include height and distances. Learning to use the Pythagorean Theorem and similar triangles is important because it helps students learn to use math in everyday situations.

An entire unit of activities for proportional reasoning (including percents). Designed for classes that need to re-teach a lot of middle school content while also meeting high school Algebra I objectives. Also a great resource for middle school teachers. The approach mixes direct instruction with guided inquiry and real-life applications. Students won't get lost, but they will construct some of the concepts themselves and see how the material applies to their lives.