8th- Second 9 weeks 

This nine weeks is split between finishing the Pythagorean Theorem Unit and the equations unit. 

The Pythagorean Theorem unit has students doing various activities centered around a right triangle. Students will be asked to find the hypotenuse of a right triangle, a missing leg measurement of a right triangle, as well as distance between two points graphed in the coordinate plane. This is also the first time where students are exposed to working with story problems, so they are walked through the steps of reading the problem to synthesize information, underline or mark key points of information, and draw a picture to illustrate what is being asked. 

At the end of this unit, students are introduced to the distributive property and combining like terms. These two skills are extremely important to have mastery of for the next unit: equations. 

The equations unit is one of the biggest units in terms of standardized testing for Indiana. This unit has students solving various forms of equations: one-, two-, multi-step equations, variables on both sides of the equation, special cases (no solution and infinitely many solutions), fractions, decimals, and mixed numbers. This unit also has students using skills learned in other units up this point (integer rules-Unit 1; fraction operations and conversions-Unit 2; distributive property and combining like terms-Unit 5). Since there is so much information presented in this unit, there are three different assessments at various times (One-and Two-Step equations, multi-step equations, and advanced equations).  

MA.8.GM.7

Use inductive reasoning to explain the Pythagorean relationship.

 MA.8.GM.8

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and other mathematical problems in two dimensions.

MA.8.GM.9

Apply the Pythagorean Theorem to find the distance between two points in a coordinate plane.

Use square root symbols to represent solutions to equations of the form x^2 = p, where p is a positive rational number. 

MA.8.AF.1

Solve linear equations with rational number coefficients fluently, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Represent real-world problems using linear equations and inequalities in one variable and solve such problems.

MA.8.AF.2

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by transforming a given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results (where a and b are different numbers).

• I can use inductive reasoning to explain the Pythagorean Theorem 

• I can draw a diagram and use the Pythagorean Theorem to solve real world problems involving right triangles. 

• I can apply the Pythagorean Theorem to find an unknown side length of a right triangle.

• I can create a right triangle given two points on a coordinate grid.

• I can apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

• I can solve linear equations in one variable.

• I can solve a linear equation by using the distributive property and combining like terms.

• I can write and solve equations and inequalities in one variable to represent real-world problems.

• I can simplify a linear equation to determine whether it has one solution, no solutions, or infinitely many solutions.

• I can give examples of linear equations with one solution, no solutions, or infinitely many solutions.

See Canvas for links to Notes, Homework assignment, online activities as well as listed in class activities.