Math 8

Unit 1: Rigid Transformations and Congruence

Grade 8 Illustrative Mathematics – Unit 1: Rigid Transformations and Congruence

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1 – Moving in the Plane

Lesson 1

 

 

 

8.1.1 Morgan

2 – Naming the Moves

Lesson 2

 

 

 

8.1.2 Morgan

3 – Grid Moves

Lesson 3

 

Practice Grid Moves

 

8.1.3 Morgan

4 – Making the Moves

Lesson 4

 

 

 

8.1.4 Morgan

5 – Coordinate Moves

Lesson 5

Translations Review

 

Reflecting Points

 

Reflecting Shapes

Translate Points

 

Translate Shapes

 

Reflect Points

 

8.1.5 Morgan

6 – Describing Transformations

Lesson 6

Determining Rotations

 

Determining Reflections

 

Mapping Shapes

Determine Translations

 

Determine Rotations – Basic

 

Determine Reflections

 

Mapping Shapes

 

8.1.6 Morgan

7 – No Bending or Stretching

Lesson 7

Rigid Transformations Intro

 

Finding Measures Using Rigid Transformations

 

Rigid Transformations: Preserved Properties

 

 

Find Measures Using Rigid Transformations

 

Rigid Transformations – Preserved Properties

 

8.1.7 Morgan

8 – Rotation Patterns

Lesson 8

 

 

 

8.1.8 Morgan

9 – Moves in Parallel

Lesson 9

 

 

 

8.1.9 Morgan

10 – Composing Figures

Lesson 10

 

 

 

8.1.10 Morgan

11 – What is the Same?

Lesson 11

 

 

 

8.1.11 Morgan

12 – Congruent Polygons

Lesson 12

Congruent Shapes and Transformations

 

Non-congruent Shapes and transformations

 

Congruence and Transformations

 

8.1.12 Morgan

13 – Congruence

Lesson 13

 

 

 

8.1.13 Morgan

14 – Alternate Interior Angles

Lesson 14

Alternate Interior Angles

Angle Relationships with Parallel Lines

 

8.1.14 Morgan

15 – Adding the Angles in a Triangle

Lesson 15

Triangle Angle Review

Find Angles in triangles

 

Find Angles in Isosceles Triangles

 

 

8.1.15 Morgan

16 – Parallel Lines and the Angles in a Triangle

Lesson 16

Angles in a triangle sum to 180 proof

 

Triangle exterior angle example

 

Triangle angles – intersecting lines

 

 

Finding angle measures using triangles

 

8.1.16 Morgan

17 – Rotate and Tessellate

Lesson 17

 

 

 

 

Unit 1 Review

 

 

Khan Academy Unit Test

 

 

Unit 2: Dilations, Similarities and Introducing Slope

Grade 8 Illustrative Mathematics – Unit 2: Dilations, Similarities and Introducing Slope

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Lesson 1 - Projecting and Scaling

Lesson 1

 

 

 

8.2.1 Morgan

Lesson 2 – Circular Grid

Lesson 2

 

 

 

8.2.2 Morgan

Lesson 3 – Dilations with no Grid

Lesson 3

 

 

 

8.2.3 Morgan

Lesson 4 – Dilations on a Square Grid

Lesson 4

Dilations Intro

 

Dilating Points

 

Dilating Shapes: Expanding

 

Dilating Shapes: Shrinking

Identify Transformations

 

Dilate Points

 

Dilate Triangles

 

Practice Quiz 1

 

8.2.4 Morgan

Lesson 5 – More Dilations

Lesson 5

 

 

 

8.2.5 Morgan

Lesson 6 – Similarity

Lesson 6

Similar Shapes and Transformations

Similarity and Transformations

 

8.2.6 Morgan

Lesson 7 – Similar Polygons

Lesson 7

Dilations: Scale Factor

 

Dilations and Properties

Dilations: Scale Factor

 

Dilations and Properties

 

8.2.7 Morgan

Lesson 8 – Similar Triangles

Lesson 8

 

 

 

8.2.8 Morgan

Lesson 9 – Side Length Quotients in Similar Triangles

Lesson 9

Side Lengths after Dilations

Practice Quiz 2

 

8.2.9 Morgan

Lesson 10 – Meet Slope

Lesson 10

Intro to Slope

 

 

8.2.10 Morgan

Lesson 11 – Writing Equations for Lines

Lesson 11

 

 

 

8.2.11 Morgan

Lesson 12 – Using Equations for Lines

Lesson 12

 

 

 

8.2.12 Morgan

Lesson 13 – The Shadow Knows

Lesson 13

 

 

 

 

Unit 2 Review

 

 

Khan Academy Unit Test

 

 

Unit 3: Linear Relationships

Grade 8 Illustrative Mathematics – Unit 3: Linear Relationships

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Lesson 1 – Understanding Proportional Relationships

Lesson 1

 

 

 

8.3.1 Morgan

Lesson 2 – Graphs of Proportional Relationships

Lesson 2

 

 

 

8.3.2 Morgan

Lesson 3 – Representing Proportional Relationships

Lesson 3

Graphing proportional relationships: Unit Rate

 

Graphing Proportional Relationships from a table

 

Graphing proportional relationships from an equation

Graphing Proportional Relationships

 

8.3.3 Morgan

Lesson 4 – Comparing Proportional Relationships

Lesson 4

Rates and proportional relationships example

 

Rates and proportional relationships: gas mileage

Rates and proportional relationships

 

Quiz 1

 

 

 

8.3.4 Morgan

Lesson 5 – Intro to Linear Relationships

Lesson 5

 

 

 

8.3.5 Morgan

Lesson 6 – More Linear Relationships

Lesson 6

 

 

 

8.3.6 Morgan

Lesson 7 – Representation of Linear Relationships

Lesson 7

Linear and nonlinear functions: missing value

 

 

8.3.7 Morgan

Lesson 8 – Translating to y=mx + b

Lesson 8

Intro to slope-intercept form

 

Graph from slope-intercept equation

 

 

 

8.3.8 Morgan

Lesson 9 – Slopes Don’t have to be Positive

Lesson 9

Intro to intercepts

 

Slope-intercept equation from slope & point

 

Linear & nonlinear functions: word problems

Intercepts from a graph

 

Slope from graph

 

Slope-intercept intro

 

Graph from slope-intercept from

 

Slope-intercept equation from graph

 

 

8.3.9 Morgan

Lesson 10 – Calculating Slope

Lesson 10

 

Slope from two points

 

8.3.10 Morgan

Lesson 11 – Equations of All Kinds of Lines

Lesson 11

Converting to slope-intercept form

 

Worked examples: slope-intercept intro

Slope-intercept from two points

 

 

Quiz 2

 

8.3.11 Morgan

Lesson 12 – Solutions to Linear Equations

Lesson 12

Solutions to 2-variable equations

 

Worked example: solutions to 2-variable equations

Solutions to 2-variable equations

 

8.3.12 Morgan

Lesson 13 – More Solutions to Linear Equations

Lesson 13

Completing solutions to 2-variable equations

 

x-intercept of a line

 

Intercepts from an equation

 

Worked example: intercepts from an equation

Complete solutions to 2-variable equations

 

Intercepts from an equation

 

Quiz 3

 

8.3.13 Morgan

Lesson 14 – Using Linear Relations to Solve Problems

Lesson 14

 

 

 

8.3.14 Morgan

 

 

 

Khan Academy Unit 3 Test

 

 

Unit 4: Linear Equations and Linear Systems

Grade 8 Illustrative Mathematics – Unit 4: Linear Equations and Linear Systems

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Lesson 1 – Number Puzzles

Lesson 1

 

 

 

Morgan 8.4.1

Lesson 2 – Keeping the Equation Balanced

Lesson 2

 

 

 

Morgan 8.4.2

Lesson 3 –Balanced Moves

Lesson 3

Intro to Equations with variables on both sides

 

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

Equations with variables on both sides

 

Morgan 8.4.3

Lesson 4 – More Balanced Moves

Lesson 4

Equations with parentheses

Equations with parentheses

 

Morgan 8.4.4

Lesson 5 – Solving Any Linear Equation

Lesson 5

 

 

 

Morgan 8.4.5

Lesson 6 – Strategic Solving

Lesson 6

 

Equations with variables on both sides: decimals and fractions

 

Equations with parentheses: decimals and fractions

 

Morgan 8.4.6

Extra Practice Linear Equations

 

Sums of consecutive Integers

 

Sum of integers challenge

 

Equation practice with vertical angles

 

Equation practice with complementary angles

 

Equation practice with supplementary angles

Sums of consecutive integers

 

Equation practice with vertical angles

 

Equation practice with angel addition

 

 

Lesson 7 – All, Some, or No Solutions

Lesson 7

Creating an equation with no solutions

 

Creating an equation with infinitely many solutions

Number of solutions to equations challenge

 

Morgan 8.4.7

Lesson 8 – How Many Solutions

Lesson 8

Number of solutions to equations

 

Worked Example: number of solutions to equations

Number of solutions to equations

 

8.4.8 Morgan

Lesson 9 – When Are They the Same

Lesson 9

Age word problem: Imran

 

Age word problem: Ben and William

 

Age word problem: Arman and Diya

Age word problems

 


Quiz 1

 

 

8.4.9 Morgan

Lesson 10 – On or Off the Line?

Lesson 10

 

Solutions of systems of equations

 

8.4.10 Morgan

Lesson 11 – On Both of the Lines

Lesson 11

 

 

 

8.4.11 Morgan

Lesson 12 – Systems of Equations

Lesson 12

Systems of equations: trolls, tolls (1 of 2)

 

Systems of equations: trolls, tolls (2 of 2)

 

Systems of equations with graphing

 

Systems of equations with graphing: y= 7/5x-5 and y=3/5x-1

Systems of equations with graphing

 

Number of solutions to a system of equations graphically

 

8.4.12 Morgan

Lesson 13 – Solving Systems of Equations

Lesson 13

Systems of equations with substitution: y=-1/4x+100 and y=-1/4x+120

 

Number of solutions to a system of equations graphically

Number of solutions to a system of equations algebraically

 

8.4.13 Morgan

Lesson 14 – Solving More Systems

Lesson 14

Systems of equations with substitution – 1

 

Systems of equations with substitution – 2

 

Systems of equations with substitution - 3

Systems of equations with substitution

 

 

Quiz 2

 

8.4.14 Morgan

Lesson 15 – Writing Systems of Equations

Lesson 15

 

 

 

8.4.15 Morgan

Lesson 16 – Solving Problems with Systems of Equations

Lesson 16

Systems of equations with word problems: no solution

 

Systems of equations with substitution: coins

Systems of equations word problems

 

8.4.16 Morgan

Unit 4 Review

 

 

Khan Academy Unit 4 Practice Test

 

 

Unit 5: Functions and Volume

Grade 8 Illustrative Mathematics – Unit 5: Functions and Volume

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Lesson 1 – Inputs and Outputs

Lesson 1

 

 

 

8.5.1 Morgan

Lesson 2 – Introduction to Functions

Lesson 2

 

Recognize functions from tables

 

8.5.2 Morgan

Lesson 3 – Equations for Functions

Lesson 3

Manipulating formulas: temperature

Evaluate functions

 

Function rules from equations

 

8.5.3 Morgan

Lesson 4 – Tables, Equations, and Graphs of Functions

Lesson 4

Linear function example: spending money

 

 

8.5.4 Morgan

Lesson 5 – More Graphs of Functions

Lesson 5

Interpreting a graph example

Evaluate Functions from their graph

 

Interpreting graphs of functions

 

Recognize Functions from a graph

 

Quiz 1

 

8.5.5 Morgan

Lesson 6 – Even More Graphs of Functions

Lesson 6

 

 

 

8.5.6 Morgan

Lesson 7 – Connecting Representations of Functions

Lesson 7

 

 

 

8.5.7 Morgan

Lesson 8 – Linear Functions

Lesson 8

Linear graphs word problem: cats

 

Linear equations word problems: earnings

 

Modeling with linear equations: snow

 

Comparing linear functions word problem: climb

 

Comparing linear functions word problem: work

 

Linear Functions word problem: fuel

 

Linear functions word problem: pool

Linear equations word problems: graphs

 

Linear equations word problems


Compare linear functions

 

Comparing linear functions word problems

 

Graphing linear functions word problems

 

Linear and nonlinear functions

 

8.5.8 Morgan

Lesson 9 – Linear Models

Lesson 9

 

Linear models word problems

 

Writing linear functions word problems

 

Quiz 2

 

8.5.9 Morgan

Lesson 10 – Piecewise Linear Functions

Lesson 10

 

 

 

8.5.10 Morgan

Lesson 11 – Filling Containers

Lesson 11

 

 

 

8.5.11 Morgan

Lesson 12 – How Much Will Fit?

Lesson 12

 

 

 

8.5.12 Morgan

Lesson 13 – The Volume of a Cylinder

Lesson 13

Cylinder volume and surface area

Volume of cylinders

 

8.5.13 Morgan

Lesson 14 – Finding Cylinder Dimensions

Lesson 14

 

 

 

8.5.14 Morgan

Lesson 15 – The Volume of a Cone

Lesson 15

Volume of a cone

Volume of cones

 

Quiz 3

 

8.5.15 Morgan

Lesson 16 – Finding Cone Dimensions

Lesson 16

 

 

 

8.5.16 Morgan

Lesson 17 – Scaling One Dimensions

Lesson 17

 

 

 

8.5.17 Morgan

Lesson 18 – Scaling Two Dimensions

Lesson 18

How volume changes from changing dimensions

 

 

8.5.18 Morgan

Lesson 19 – Estimating a Hemisphere

Lesson 19

 

 

 

8.5.19 Morgan

Lesson 20 – The Volume of a Sphere

Lesson 20

Volume of a sphere

Volume of spheres

 

8.5.20 Morgan

Lesson 21 – Cylinders, Cones, and Spheres

Lesson 21

 

Volume of cylinders, spheres, and cones word problems

 

Quiz 4

 

8.5.21 Morgan

Lesson 22 – Volume as a Function of….

Lesson 22

 

 

 

8.5.22 Morgan

Unit 5 Review

 

 

Khan Academy Unit 5 Practice Test

 

 

Unit 6: Associations in Data

Grade 8 Illustrative Mathematics – Unit 6: Associations in Data

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Lesson 1 – Organizing Data

Lesson 1

 

Making appropriate scatter plots

 

8.6.1 Morgan

Lesson 2 – Plotting Data

Lesson 2

Constructing a scatter plot

Constructing scatter plots

 

Quiz 1

 

8.6.2 Morgan

Lesson 3 – What a Point in a Scatter Plot Means

Lesson 3

 

 

 

8.6.3 Morgan

Lesson 4 – Fitting a Line to Data

Lesson 4

Line of best fit: smoking in 1945

Estimating equations of lines of best fit, and using them to make predictions

 

8.6.4 Morgan

Lesson 5 – Describing Trends in Scatter Plots

Lesson 5

 

Eyeballing the line of best fit

 

8.6.5 Morgan

Lesson 6 – The Slope of a Fitted Line

Lesson 6

Scatter plot: smokers

 

Interpreting a trend line

Estimating slope of line of best fit

 

Interpreting slope and y-intercept for linear models

 

8.6.6 Morgan

Lesson 7 – Observing More Patterns in Scatter Plots

Lesson 7

Example of direction in scatter plots

Positive and negative linear associations from scatter plots

 

Describing trends in scatter plots

 

Quiz 2

 

8.6.7 Morgan

Lesson 8 – Analyzing Bivariate Data

Lesson 8

 

 

 

8.6.8 Morgan

Lesson 9 – Looking for Associations

Lesson 9

Two-way frequency tables and Venn diagrams

 

Two-way relative frequency tables

Read two-way frequency tables

 

Reading two-way relative frequency tables

 

8.6.9 Morgan

Lesson 10 – Using Data Displays to Find Associations

Lesson 10

 

Create two-way frequency tables

 

Create two-way relative frequency tables

 

Interpreting two-way tables

 

Quiz 3

 

8.6.10 Morgan

Lesson 11 – Gone in 30 Seconds

Lesson 11

 

 

 

8.6.11 Morgan

Unit 6 Review

 

 

Khan Academy Unit 6 Practice Test

 

 

Unit 7: Exponents and Scientific Notation

Grade 8 Illustrative Mathematics – Unit 7: Exponents and Scientific Notation

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Lesson 1 – Exponent Review

Lesson 1

 

 

 

8.7.1 Morgan

Lesson 2 – Multiplying Powers of Ten

Lesson 2

 

 

 

8.7.2 Morgan

Lesson 3 – Powers of Powers of 10

Lesson 3

 

 

 

8.7.3 Morgan

Lesson 4 – Dividing Powers of 10

Lesson 4

The 0 and 1st power

 

 

8.7.4 Morgan

Lesson 5 – Negative Exponents with Powers of 10

Lesson 5

 

 

 

8.7.5 Morgan

Lesson 6 – What About Other Bases?

Lesson 6

Exponent properties with products

 

Exponent properties with quotients

 

Negative exponent intuition

 

Multiplying and dividing powers (integer exponents)

Multiply powers

 

Powers of powers

 

Divide powers

 

Negative exponents

 

Multiply and divide powers (integer exponents)

 

8.7.6 Morgan

Lesson 7 – Practice with Rational Bases

Lesson 7

 

 

 

8.7.7 Morgan

Lesson 8 – Combining Bases

Lesson 8

Exponent properties with parentheses

Powers of products and quotients

 

Quiz 1

 

8.7.8 Morgan

Lesson 9 – Describing Large and Small Numbers Using Powers of 10

Lesson 9

 

 

 

8.7.9 Morgan

Lesson 10 – Representing Large Numbers on the Number Line

Lesson 10

 

 

 

8.7.10 Morgan

Lesson 11 – Representing Small Numbers on the Number Line

Lesson 11

 

 

 

8.7.11 Morgan

Lesson 12 – Applications of Arithmetic with Powers of 10

Lesson 12

Multiplying multiples of powers of 10

 

Approximating with powers of 10

Multiplication and division with powers of ten

 

Approximating with powers of 10

 

8.7.12 Morgan

Lesson 13 – Definition of Scientific Notation

Lesson 13

Scientific notation example

 

Scientific notation examples

Scientific notation

 

8.7.13 Morgan

Lesson 14 – Multiplying, Dividing, and Estimating with Scientific Notations

Lesson 14

Multiplying in scientific notation example

 

Multiplying and dividing in scientific notation

 

Scientific notation word problem: US national debt

Multiplying and dividing in scientific notation

 

8.7.14 Morgan

Lesson 15 – Adding and Subtracting with Scientific Notation

Lesson 15

 

Adding and Subtracting in scientific notation

 

Scientific notation word problems

 

Quiz 2

 

8.7.15 Morgan

Lesson 16 – Is a Smartphone Smart Enough to Go to the Moon?

Lesson 16

 

 

 

8.7.16 Morgan

Unit 7 Review

 

 

Khan Academy Unit 7 Practice Test

 

 

Unit 8: Pythagorean Theorem and Irrational Numbers

Grade 8 Illustrative Mathematics – Unit 8: Pythagorean Theorem and Irrational Numbers

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Lesson 1 – The Areas of Squares and Their Side Lengths

Lesson 1

 

 

 

8.8.1 Morgan

Lesson 2 – Side Lengths and Areas

Lesson 2

 

Square roots

 

Roots of decimals and fractions

 

8.8.2 Morgan

Lesson 3 – Rational and Irrational Numbers

Lesson 3

Intro to rational and irrational numbers

 

Classifying numbers: rational and irrational

Classify numbers: rational and irrational

 

8.8.3 Morgan

Lesson 4 – Square Roots on the Number Line

Lesson 4

Approximating square roots to hundredths

Comparing irrational numbers with a calculator

 

8.8.4 Morgan

Lesson 5 – Reasoning About Square Roots

Lesson 5

Approximating square roots

 

Classifying numbers

Approximating square roots

 

Comparing irrational numbers

 

Comparing irrational numbers with a calculator

 

Quiz 1

 

8.8.5 Morgan

Lesson 6 – Finding Side Lengths of Triangles

Lesson 6

Intro to Pythagorean theorem

Use of squares to visualize Pythagorean theorem

 

8.8.6 Morgan

Lesson 7 – A Proof of the Pythagorean Theorem

Lesson 7

Bhaskara’s proof of the Pythagorean theorem

 

 

8.8.7 Morgan

Lesson 8 – Finding Unknown Side Lengths

Lesson 8

Pythagorean theorem example

Use Pythagorean theorem to find right triangle side lengths

 

8.8.8 Morgan

Lesson 9 – The Converse

Lesson 9

 

Right triangle side lengths

 

8.8.9 Morgan

Lesson 10 – Applications of the Pythagorean Theorem

Lesson 10

Pythagorean theorem word problem: carpet

 

Pythagorean theorem word problem: fishing boat

 

Pythagorean theorem proof using similarity

 

Another Pythagorean theorem proof

Pythagorean theorem word problems

 

Pythagorean theorem in 3D

 

8.8.10 Morgan

Lesson 11 – Finding Distances in the Coordinate Plane

Lesson 11

 

Use Pythagorean theorem to find perimeter

 

Distance between two points

 

Quiz 2

 

8.8.11 Morgan

Lesson 12 – Edge Lengths and Volumes

Lesson 12

Dimensions of a cube from its volume

Cube roots

 

8.8.12 Morgan

Lesson 13 – Cube Roots

Lesson 13

 

Equations with square roots and cube roots

 

Equations with square roots: decimals and fractions

 

Square and cube challenge

 

Quiz 3

 

8.8.13 Morgan

Lesson 14 – Decimal Representations of Rational Numbers

Lesson 14

Converting a fraction to a repeating decimal

Writing fractions as repeating decimals

 

8.8.14 Morgan

Lesson 15 – Infinite Decimal Expansions

Lesson 15

Converting repeating decimals to fractions Part 1

 

Converting repeating decimals to fractions Part 2

Converting repeating decimals to fractions

 

Converting multi-digit repeating decimals to fractions

 

Quiz 4

 

 

Unit 8 Review

 

 

Khan Academy Unit 8 Practice test