Mathematics
MTH6528 ccs
Grade 8 Common Core Math standards

This course contains 8th Grade Math Materials aligned to the Common Core State Standards.

CCSS.MATH.CONTENT.8.NS.A....

This unit contains materials aligned to the 8th Grade Math Common Core Math State Standard CCSS.MATH.CONTENT.8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

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Intro to absolute value inequalities

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Intro to rational & irrational numbers

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Converting decimals to fractions 2 (ex 1)

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Rewriting decimals as fractions challenge

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Converting a fraction to a repeating decimal

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Assessment: Writing fractions as repeating decimal...

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Classifying numbers: rational & irrational

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Assessment: Classify numbers: rational & irrationa...

CCSS.MATH.CONTENT.8.NS.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., p2). For example, by truncating the decimal expansion of v2, show that v2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

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Approximating square roots to hundredths

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Differences of Integers Using a Number Line Practi...

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Introduction to Irrational Numbers Using Geometry...

CCSS.MATH.CONTENT.8.EE.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.A.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3-5 = 3-3 = 1/33 = 1/27.

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ASSESSMENT

Chapter 14 "Radicals" - Exercise 1

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Chapter 14 "Radicals" - Exercise 2

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Exponent rules part 2 (Composite problems)

CCSS.MATH.CONTENT.8.EE.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.A.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 v2 is irrational.

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Understanding Square Roots

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Chapter 13 "Square Root" - Exercise 1

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Chapter 13 "Square Root" - Exercise 2

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Chapter 13 "Square Root" - Exercise 3

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Worked example: Cube root of a negative number

CCSS.MATH.CONTENT.8.EE.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.A.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. For example, estimate the population of the United States as 3 times 108 and the population of the world as 7 times 109, and determine that the world population is more than 20 times larger.

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ASSESSMENT

Chapter 14 "Radicals" - Exercise 1

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Chapter 14 "Radicals" - Exercise 2

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"3. Mad Libs and Math Libs"

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Orders of magnitude exercise example 1

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Orders of magnitude exercise example 2

CCSS.MATH.CONTENT.8.EE.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.A.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

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Scientific Notation CK-12 Concept

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Scientific Notation with a Calculator CK-12

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"2. Adding and Subtracting in Scientific Notation"

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Scientific notation examples - 1

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Assessment: Scientific notation

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Multiplying three numbers in scientific notation (...

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Scientific notation word problem: U.S. national de...

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Assessment: Multiplying & dividing in scientific n...

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Simplifying in scientific notation challenge

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Assessment: Scientific notation word problems

CCSS.MATH.CONTENT.8.EE.B....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.B.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

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Linear Inequalities and Absolute Value

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Chapter 12 "Graphs" - Exercise 1

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Chapter 12 "Graphs" - Exercise 2

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Rates & proportional relationships example

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Rates & proportional relationships: gas mileage

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Graphing proportional relationships: unit rate

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Slope from graph (old)

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Assessment: Identifying slope of a line

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Assessment: Graphing linear equations

CCSS.MATH.CONTENT.8.EE.B....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.B.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.

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Solving Linear Equations in Slope Intercept Form

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Assessment: Identifying the Slope of a Line

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Chapter 12 "Graphs" - Exercise 3

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Worked example: slope from graph

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Slope of a line: negative slope

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Similar triangles to prove that the slope is const...

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Assessment: Slope and triangle similarity

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.7. Solve linear equations in one variable.

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One-step multiplication & division equations - Ass...

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Assessment: One-step multiplication & division equ...

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"9. Transforming Formulas"

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Intro to equations with variables on both sides

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How to solve an equation with variables on both si...

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Equations with variables on both sides: 20-7x=6x-6

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Age word problem: Imran

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.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).

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"13. Equations with mixed numbers and fractions"

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.7.B Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

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Properties of Real Numbers

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"4. Making It Clear"

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"12. Separate the Radicals"

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Worked example: number of solutions to equations

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Equation with the variable in the denominator

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How to solve an equation using the distributive pr...

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A clever application of the distributive property ...

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Ex 1: Distributive property to simplify

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Equations with parentheses - Practice

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Number of solutions to equations - Practice

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.8. Analyze and solve pairs of simultaneous linear equations.

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Chapter 11 "Simultaneous Equations"

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Chapter 11 "Simultaneous Equations" - Exercise 1

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Chapter 11 "Simultaneous Equations" - Exercise 2

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Simultaneous Linear Equations (Chapter 13)

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.8.A 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.

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Systems of Equations and Inequalities

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Chapter 11 "Simultaneous Equations" - Exercise 3

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Graphing using intercepts

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x-intercept of a line

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Testing a solution to a system of equations

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Number of solutions to a system of equations graph...

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.8.B Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

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Systems of Equations and Inequalities

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Systems with elimination practice

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Systems of equations with graphing

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Systems of equations with graphing: 5x+3y=7 & 3x-2...

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Systems of equations with graphing: y=7/5x-5 & y=3...

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Solve systems of equations graphically

CCSS.MATH.CONTENT.8.EE.C....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.EE.C.8.C 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.

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Chapter 11 "Simultaneous Equations"

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Systems of equations with elimination: apples and ...

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Linear systems word problem with substitution

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Systems of equations word problems example: Price ...

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Assessment: Systems of equations word problems

CCSS.MATH.CONTENT.8.F.A.1

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.F.A.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1

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Introduction To Functions

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Linear Equations and Functions

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Expressions, Equations, and Functions

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What is a function?

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How to evaluate a function given its formula (exam...

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Evaluate Functions - Interactive Practice

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Recognize functions from tables - interactive prac...

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Functions as graphs

CCSS.MATH.CONTENT.8.F.A.2

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.F.A.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

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Comparing linear functions: equation vs. graph

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Assessment: Compare linear functions

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Comparing linear functions word problem: climb

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Comparing linear functions word problem: walk

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Comparing linear functions word problem: work

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Assessment: Comparing linear functions word proble...

CCSS.MATH.CONTENT.8.F.A.3

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.F.A.3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

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Linear Functions

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Exponents and Exponential Functions

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Linear Functions and Graphs

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Evaluating with function notation

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Recognizing functions from verbal descriptions

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Assessment: Linear and nonlinear functions

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Interpreting a graph example

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Assessment: Interpreting graphs of functions

CCSS.MATH.CONTENT.8.F.B.4

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.F.B.4. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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ASSESSMENT

Exponential Properties Involving Quotients

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Functions and Graphs

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Graphs of Equations and Functions

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"1. Linear Patterns"

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Testing if a relationship is a function

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Constructing a Linear Function Word Problem

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Constructing and Interpreting a Linear Function

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Constructing Linear Graphs

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Assessment: Linear models word problems

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Exponential Properties Involving Products

CCSS.MATH.CONTENT.8.F.B.5

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.F.B.5. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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Systems of Equations and Inequalities

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Progressions - Exercise 1

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Progression - Exercise 2

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"1. Linear vs Quadratic (Day 1 of 2)"

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"2. Linear vs Quadratic (Day 2 of 2)"

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"3. The Biggest Possible Area"

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Assessment: Interpreting and finding intercepts of...

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Relations and functions

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Recognizing functions from graphs

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Recognizing functions from tables

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Assessment: Linear equations word problems

CCSS.MATH.CONTENT.8.G.A.1

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.1. Verify experimentally the properties of rotations, reflections, and translations:

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Assessment: Properties of rigid transformations

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Introduction to congruence and similarity through ...

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Video: Identify what changes and what stays the sa...

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Video: Identify what changes and what stays the sa...

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Video: Identify what changes and what stays the sa...

CCSS.MATH.CONTENT.8.G.A.1...

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.1.A Lines are taken to lines, and line segments to line segments of the same length.

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Basics Geometry

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Performing rotations (old)

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Performing reflections: line (old)

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Introduction to congruence and similarity through ...

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Reflections 2

CCSS.MATH.CONTENT.8.G.A.1...

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.1.B Angles are taken to angles of the same measure.

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CCSS.MATH.CONTENT.8.G.A.2

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

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VIDEO

CA Geometry: More on congruent and similar triangl...

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Intro to triangle similarity

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Basics Geometry

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Geometric Transformations

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"16. Exploring Angle Relationships Through Transfo...

CCSS.MATH.CONTENT.8.G.A.3

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

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Algebra and Geometry Connections

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Parallel and Perpendicular Lines

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Constructions

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"5. Hands on Exploring Reflections in the Plane Co...

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"11. Rotations in the Coordinate Plane"

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"4. Playing with Parabolas - Hands on"

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Recognizing functions from verbal descriptions

CCSS.MATH.CONTENT.8.G.A.4

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

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Determine similar triangles: AA Interactive Assess...

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Determine similar triangles: SSS - Practice

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Is it a Slide, a Flip, or a Turn?

CCSS.MATH.CONTENT.8.G.A.5

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.A.5. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

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Area of Polygons

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Parallel and Perpendicular Lines

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"9. Building Triangles with Cubes"

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Equation practice with vertical angles - interacti...

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Measures of angles formed by a transversal

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Triangle exterior angle example

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Triangle angle challenge problem

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Triangle angle challenge problem 2

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Assessment: Finding angle measures between interse...

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Assessment: Angles 2

CCSS.MATH.CONTENT.8.G.B.6

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.B.6. Explain a proof of the Pythagorean Theorem and its converse.

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"1. Introduction to Pythagorean Theorem"

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"4. Solving the Pythagorean Theorem Algebraically"

CCSS.MATH.CONTENT.8.G.B.7

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.B.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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Pythagorean Theorem Interactive Assessment

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Applying the Pythagorean Theorem

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SE Right Triangle Trigonometry - TI

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Pythagorean theorem word problem: fishing boat

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Pythagorean theorem example

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Pythagorean theorem word problem: carpet

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Assessment: Use Pythagorean theorem to find right ...

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Assessment: Special right triangles

CCSS.MATH.CONTENT.8.G.B.8

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.B.8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

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Distance and Area Ck-12

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Applying the Pythagorean Theorem

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"7. Discussing Distance Formula Algebraically"

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"8. Applying Distance to Perimeter and Area on Coo...

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"9. Unit Assessment"

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Distance formula

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Assessment: Distance between two points

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Thiago asks: How much time does a goalkeeper have ...

CCSS.MATH.CONTENT.8.G.C.9

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.G.C.9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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Measurement, Area and Volume

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Surface Area and Volume

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Cylinder volume & surface area

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Volume of a sphere

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Volume of a cone

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Assessment: Solid geometry word problems

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Volume of triangular prism & cube

CCSS.MATH.CONTENT.8.SP.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.SP.A.1. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

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Chapter 10: Analyzing Data

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The Straight Line: Exercise 3

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Scatter plots: studying, shoe size, and test score...

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Scatter plot: smokers

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Assessment: Describing Trends in Scatter Plots

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Constructing a scatter plot

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Constructing scatter plot exercise example

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Assessment: Constructing scatter plots

CCSS.MATH.CONTENT.8.SP.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.SP.A.2. Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

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"30. Unit Project Research with Statistics"

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The Straight Line: Exercise 1

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Assessment: Eyeballing the line of best fit

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Interpreting a trend line

CCSS.MATH.CONTENT.8.SP.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.SP.A.3. Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

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Writing Linear Equations

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The Straight Line: Exercise 1

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The Straight Line: Exercise 3

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Line of best fit: smoking in 1945

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Assessment: Estimating slope of line of best fit

CCSS.MATH.CONTENT.8.SP.A....

This course contains materials aligned to the 8th Grade Math Common Core Standard CCSS.MATH.CONTENT.8.SP.A.4. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?

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Assessment: Solving Probabilities

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Categorical data example

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Assessment: Interpreting two-way tables - interact...