Created on: February 25, 2015

Website Address: https://library.curriki.org/oer/8EE6-Understand-the-connections-between-proportional-relationships-Use-similar-triangles-to-explain-

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.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

- 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.

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 in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

SlopeSupports the following Standards of Mathematical Practice• 2 Reason abstractly and quantitatively.• 3 Construct viable arguments and critique the reasoning of others.• 5 Use appropriate tools strategically.• 6 Attend to precision.• 7 Look for and make use of structure.• 8 Look for and express regularity in repeated reasoning.

SlopeSupports the following Standards of Mathematical Practice• 2 Reason abstractly and quantitatively.• 3 Construct viable arguments and critique the reasoning of others.• 5 Use appropriate tools strategically.• 6 Attend to precision.• 7 Look for and make use of structure.• 8 Look for and express regularity in repeated reasoning.