# CCSS Math 8.EE - Expressions and Equations

##### by Tim Fahlberg 03/18/2013

# CCSS Math 8.EE - Expressions and Equations

by Tim Fahlberg# 1. 8.EE.8c Solve real-world and mathematical problems leading to two linear equations in two variables.

## 1.1. Y.3

### 1.1.1. Y.9

1.1.1.1. Y.11

## 1.2. CCSS Math 8.EE.8c (T,S)

### 1.2.1. MasteryConnect 8.EE.8 (T)

# 2. 8.EE.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

## 2.1. 8.EE.8.b Y.5

### 2.1.1. Y.6

2.1.1.1. Y.7

2.1.1.1.1. Y.8

## 2.2. CCSS Math 8.EE.8b (T,S)

### 2.2.1. MasteryConnect 8.EE.8 (T)

# 3. 8.EE.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

## 3.1. 8.EE.8.a Y.1: Systems of linear equations: Is (x, y) a solution to the system of equations?

## 3.2. 8.EE.8.a Y.2: Systems of linear equations: Solve a system of equations by graphing

## 3.3. 8.EE.8.a Y.4: Systems of linear equations: Find the number of solutions to a system of equations by graphing

## 3.4. Practice and video tutorials

### 3.4.1. Practice (S) - Khan Academy

3.4.1.1. Video (S) - MathTV - 5 tutorials Includes tutorials in Spanish

3.4.1.1.1. Video (S) - Khan Academy

## 3.5. Interactivities

### 3.5.1. Wolfram Math Interactivity

3.5.1.1. GeoGebra

## 3.6. CCSS Math 8.EE.8a (T,S)

### 3.6.1. MasteryConnect 8.EE.8 (T)

# 4. 8.EE.7 Solve linear equations in one variable.

## 4.1. 8.EE.7.a 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 successively transforming the 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).

### 4.1.1. 8.EE.7.a U.9

### 4.1.2. CCSS Math 8.EE.7.a (T,S)

4.1.2.1. MasteryConnect 8.EE.7. (T)

## 4.2. 8.EE.7.b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

### 4.2.1. 8.EE.7.b U.2

4.2.1.1. U.3

4.2.1.1.1. U.4

### 4.2.2. U.7

4.2.2.1. U.8

4.2.2.1.1. AA.1

### 4.2.3. CCSS Math 8.EE.7.b (T,S)

4.2.3.1. MasteryConnect 8.EE.7 (T)

# 5. How to navigate this map

# 6. IXL Practice - All 8th Grade CCSS

# 7. 8.EE 1-4: Work with radicals and integer exponents.

## 7.1. 8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.

### 7.1.1. F.1 - F8

7.1.1.1. 8.EE.1 F.1 Exponents and roots: Understanding exponents

7.1.1.1.1. 8.EE.1 F.2 Exponents and roots:Evaluate exponents

### 7.1.2. F.9 - Z.9

7.1.2.1. 8.EE.1 F.5 Exponents and roots: Exponents with decimal and fractional bases

7.1.2.1.1. 8.EE.1 F.6 Exponents and roots:Understanding negative exponents

7.1.2.2. 8.EE.1 F.9 Exponents and roots: Division with exponents

7.1.2.2.1. 8.EE.1 F.10 Exponents and roots: Multiplication and division with exponents

7.1.2.3. 8.EE.1 Z.6 Monomials and polynomials: Multiply monomials

7.1.2.3.1. 8.EE.1 Z.7 Monomials and polynomials: Divide monomials

### 7.1.3. CCSS Math 8.EE1 (T,S)

7.1.3.1. MasteryConnect 8.EE.1 (T)

## 7.2. 8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of 2 is irrational.

### 7.2.1. 8.EE.2 D.1 Rational numbers: Identify rational and irrational numbers

7.2.1.1. 8.EE.2 F.13 Exponents and roots: Square roots of perfect squares

7.2.1.1.1. 8.EE.2 F.14 Exponents and roots: Positive and negative square roots

### 7.2.2. 8.EE.2 F.16 Exponents and roots: Relationship between squares and square roots

7.2.2.1. 8.EE.2 F.17 Exponents and roots: Evaluate variable expressions involving squares and square roots

7.2.2.1.1. 8.EE.2 F.18 Exponents and roots: Cube roots of perfect cubes

### 7.2.3. CCSS Math 8.EE2 (T,S)

7.2.3.1. MasteryConnect 8.EE.2 (T)

## 7.3. 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, and to express how many times as much one is than the other.

### 7.3.1. 8.EE.3 G.1 Scientific notation: Convert between standard and scientific notation

7.3.1.1. 8.EE.3 G.2 Scientific notation: Compare numbers written in scientific notation

### 7.3.2. CCSS Math 8.EE3 (T,S)

7.3.2.1. MasteryConnect 8.EE.3 (T)

## 7.4. 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

### 7.4.1. 8.EE.4 G.1 Scientific notation: Convert between standard and scientific notation

7.4.1.1. 8.EE.4 G.3 Scientific notation: Multiply numbers written in scientific notation

7.4.1.1.1. 8.EE.4 G.4 Scientific notation: Divide numbers written in scientific notation

### 7.4.2. CCSS Math 8.EE4 (T,S)

7.4.2.1. MasteryConnect 8.EE.4 (T)

# 8. 8.EE 5-6: Understand the connections between proportional relationships, lines, and linear equations.

## 8.1. 8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

### 8.1.1. 8.EE.5 H.5 Ratios and proportions: Unit rates

8.1.1.1. 8.EE.5 H.6 Ratios and proportions: Do the ratios form a proportion?

8.1.1.1.1. 8.EE.5 H.7 Ratios and proportions: Do the ratios form a proportion: word problems

### 8.1.2. 8.EE.5 H.9 Ratios and proportions: Solve proportions: word problems

8.1.2.1. 8.EE.5 I.2 Proportional relationships: Find the constant of variation: graphs

8.1.2.1.1. 8.EE.5 I.4 Proportional relationships: Graph a proportional relationship

### 8.1.3. CCSS Math 8.EE.5 (T,S)

8.1.3.1. MasteryConnect 8.EE.5 (T)

## 8.2. 8.EE.6 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.

### 8.2.1. 8.EE.6 I.5 Proportional relationships: Write an equation for a proportional relationship

8.2.1.1. 8.EE.6 V.7 Linear functions: Graph a line from an equation

8.2.1.1.1. 8.EE.6 V.9 Linear functions: Find the slope of a graph

### 8.2.2. 8.EE.6 V.10 Linear functions: Find slope from two points

8.2.2.1. 8.EE.6 V.11 Linear functions: Find slope from an equation

8.2.2.1.1. 8.EE.6 V.12 Linear functions: Graph a line using slope

### 8.2.3. CCSS Math 8.EE.6 (T,S)

8.2.3.1. MasteryConnect 8.EE.6 (T)