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CCSS Math
8.EE - Expressions and
Equations
by Tim Fahlberg
# CCSS Math
8.EE - Expressions and
Equations

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

### Y.3

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

## 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.

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

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

## 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.

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

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

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

### Practice and video tutorials

### Interactivities

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

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

### 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).

### 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.

## How to navigate this map

## IXL Practice - All 8th Grade CCSS

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

### 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 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.

### 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.

### 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.

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

### 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.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.

## Analyze and solve linear equations and
pairs of simultaneous linear equations.

## 8.EE - Expressions and Equations -
Work with radicals and integer exponents

## 8.EE.8 Analyze and solve pairs of
simultaneous linear equations

## Up to parent Mind Map -
8th Grade CCSS Math

## A little humor

## QR Code and link to this Mind Map

0.0 stars - reviews
range from 0 to 5

8.EE - Expressions and Equations - Work with radicals and integer exponents. A PDF of this mind map is attached.And then the QR code at the top will be scannable from the printed copy.

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

Y.9, Y.11

Internet Resources (Videos, Websites, etc.) For students and teachers

MasteryConnect 8.EE.8 (T)

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

Y.6, Y.7, Y.8, Y.10

Internet Resources (Videos, Websites, etc.) For students and teachers

MasteryConnect 8.EE.8 (T)

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.

Y.2: Systems of linear equations: Solve a system of equations by graphing

Practice (S) - Khan Academy, Video (S) - MathTV - 5 tutorials Includes tutorials in Spanish, Video (S) - Khan Academy

Wolfram Math Interactivity, GeoGebra

Internet Resources (Videos, Websites, etc.) For students and teachers

MasteryConnect 8.EE.8 (T)

8.EE.7.a U.9

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

8.EE.7.b U.2, U.3, U.4, U.5, U.6

U.7, U.8, AA.1, AA.2, AA.3

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

Know and apply the properties of integer exponents to generate equivalent numerical expressions

F.1 - F8, 8.EE.1 F.1 Exponents and roots: Understanding exponents, 8.EE.1 F.2 Exponents and roots:Evaluate exponents, 8.EE.1 F.3 Exponents and roots:Solve for the variable, 8.EE.1 F.4 Exponents and roots:Exponents with negative bases

F.9 - Z.9, 8.EE.1 F.5 Exponents and roots: Exponents with decimal and fractional bases, 8.EE.1 F.6 Exponents and roots:Understanding negative exponents, 8.EE.1 F.7 Exponents and roots: Evaluate negative exponents, 8.EE.1 F.8 Exponents and roots: Multiplication with exponents, 8.EE.1 F.9 Exponents and roots: Division with exponents, 8.EE.1 F.10 Exponents and roots: Multiplication and division with exponents, 8.EE.1 F.11 Exponents and roots: Power rule, 8.EE.1 F.12 Exponents and roots: Simplify expressions involving exponents, 8.EE.1 Z.6 Monomials and polynomials: Multiply monomials, 8.EE.1 Z.7 Monomials and polynomials: Divide monomials, 8.EE.1 Z.8 Monomials and polynomials: Multiply and divide monomials, 8.EE.1 Z.9 Monomials and polynomials: Powers of monomials

CCSS Math 8.EE1 (T,S), MasteryConnect 8.EE.1 (T)

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 √2 is irrational.

8.EE.2 D.1 Rational numbers: Identify rational and irrational numbers, 8.EE.2 F.13 Exponents and roots: Square roots of perfect squares, 8.EE.2 F.14 Exponents and roots: Positive and negative square roots

8.EE.2 F.16 Exponents and roots: Relationship between squares and square roots, 8.EE.2 F.17 Exponents and roots: Evaluate variable expressions involving squares and square roots, 8.EE.2 F.18 Exponents and roots: Cube roots of perfect cubes

CCSS Math 8.EE2 (T,S), MasteryConnect 8.EE.2 (T)

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.

8.EE.3 G.1 Scientific notation: Convert between standard and scientific notation, 8.EE.3 G.2 Scientific notation: Compare numbers written in scientific notation

CCSS Math 8.EE3 (T,S), MasteryConnect 8.EE.3 (T)

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.

8.EE.4 G.1 Scientific notation: Convert between standard and scientific notation, 8.EE.4 G.3 Scientific notation: Multiply numbers written in scientific notation, 8.EE.4 G.4 Scientific notation: Divide numbers written in scientific notation

CCSS Math 8.EE4 (T,S), MasteryConnect 8.EE.4 (T)

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8.EE.5 H.5 Ratios and proportions: Unit rates, 8.EE.5 H.6 Ratios and proportions: Do the ratios form a proportion?, 8.EE.5 H.7 Ratios and proportions: Do the ratios form a proportion: word problems, 8.EE.5 H.8 Ratios and proportions: Solve proportions

8.EE.5 H.9 Ratios and proportions: Solve proportions: word problems, 8.EE.5 I.2 Proportional relationships: Find the constant of variation: graphs, 8.EE.5 I.4 Proportional relationships: Graph a proportional relationship, 8.EE.5 I.6 Proportional relationships: Proportional relationships: word problems

CCSS Math 8.EE.5 (T,S), MasteryConnect 8.EE.5 (T)

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.EE.6 I.5 Proportional relationships: Write an equation for a proportional relationship, 8.EE.6 V.7 Linear functions: Graph a line from an equation, 8.EE.6 V.9 Linear functions: Find the slope of a graph

8.EE.6 V.10 Linear functions: Find slope from two points, 8.EE.6 V.11 Linear functions: Find slope from an equation, 8.EE.6 V.12 Linear functions: Graph a line using slope

CCSS Math 8.EE.6 (T,S), MasteryConnect 8.EE.6 (T)

Up to 8th grade CCSS

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