8th grade (Illustrative Mathematics)
Categories: Mathematics, Sciences
Course Content
Unit 1: Rigid transformations and congruence

Lesson 5: Coordinate moves

Reflecting points

Reflecting shapes

Lesson 6: Describing transformations

Determining reflections

Mapping shapes

Lesson 7: No bending or stretching

Rigid transformations intro

Finding measures using rigid transformations

Rigid transformations: preserved properties

Lesson 12: Congruent polygons

Congruent shapes & transformations

Noncongruent shapes & transformations

Lesson 14: Alternate interior angles

Missing angles with a transversal

Lesson 16: Parallel lines and the angles in a triangle

Angles in a triangle sum to 180° proof

Triangle exterior angle example

Worked example: Triangle angles (intersecting lines)
Unit 2: Dilations, similarity, and introducing slope

Lesson 4: Dilations on a square grid

Dilations intro

Dilating points

Dilating shapes: expanding

Dilating shapes: shrinking by 1/2

Lesson 6: Similarity

Similar shapes & transformations

Lesson 7: Similar polygons

Dilations: scale factor

Dilations and properties

Lesson 9: Side lengths quotients in similar triangles

Side lengths after dilation

Lesson 10: Meet slope

Intro to slope

Lesson 3: Representing proportional relationships

Graphing proportional relationships: unit rate

Graphing proportional relationships from a table

Graphing proportional relationships from an equation
Unit 3: Linear relationships

Lesson 4: Comparing proportional relationships

Rates & proportional relationships example

Rates & proportional relationships: gas mileage

Lesson 7: Representations of linear relationships

Linear & nonlinear functions: missing value

Lesson 8: Translating to y=mx+b

Graph from slopeintercept equation

Lesson 9: Slopes don’t have to be positive

Intro to intercepts

Slopeintercept equation from slope & point

Linear & nonlinear functions: word problem

Lesson 11: Equations of all kinds of lines

Converting to slopeintercept form

Extra practice: Slope

Worked examples: slopeintercept intro

Solutions to 2variable equations

Worked example: solutions to 2variable equations

Lesson 12: Solutions to linear equations

Lesson 13: More solutions to linear equations

Completing solutions to 2variable equations

Extra practice: Intercepts

xintercept of a line

Intercepts from an equation

Worked example: intercepts from an equation

Lesson 3: Balanced moves

Intro to equations with variables on both sides

Equations with variables on both sides: 207x=6x6

Lesson 4: More balanced moves

Equations with parentheses
Unit 4: Linear equations and linear systems

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

Lesson 7: All, some, or no solution

Creating an equation with no solutions

Creating an equation with infinitely many solutions

Lesson 8: How many solutions?

Number of solutions to equations

Worked example: number of solutions to equations

Lesson 9: When are they the same?

Age word problem: Imran

Age word problem: Ben & William

Age word problem: Arman & Diya

Lesson 12: Systems of equations

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=7/5x5 & y=3/5x1

Lesson 13: Solving systems of equations

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

Number of solutions to a system of equations graphically

Lesson 14: Solving more systems

Systems of equations with substitution: 2y=x+7 & x=y4

Systems of equations with substitution: y=4x17.5 & y+2x=6.5

Systems of equations with substitution: y=5x+8 & 10x+2y=2

Lesson 16: Solving problems with systems of equations

System of equations word problem: no solution

Systems of equations with substitution: coins

Lesson 3: Equations for functions

Manipulating formulas: temperature

Lesson 4: Tables, equations, and graphs of functions

Linear function example: spending money

Lesson 5: More graphs of functions

Interpreting a graph example
Unit 5: Functions and volume

Lesson 8: Linear functions

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

Lesson 13: The volume of a cylinder

Cylinder volume & surface area

Lesson 15: The volume of a cone

Volume of a cone

Lesson 18: Scaling two dimensions

How volume changes from changing dimensions

Lesson 20: The volume of a sphere

Volume of a sphere

Lesson 2: Plotting data

Constructing a scatter plot

Lesson 4: Fitting a line to data

Line of best fit: smoking in 1945

Lesson 6: The slope of a fitted line

Scatter plot: smokers

Interpreting a trend line

Lesson 7: Observing more patterns in scatter plots

Example of direction in scatterplots
Unit 6: Associations in data

Lesson 9: Looking for associations

Twoway frequency tables and Venn diagrams

Twoway relative frequency tables

Lesson 4: Dividing powers of 10

The 0 & 1st power

Lesson 6: What about other bases?

Exponent properties with products

Exponent properties with quotients

Negative exponent intuition

Multiplying & dividing powers (integer exponents)

Lesson 8: Combining bases

Exponent properties with parentheses

Lesson 12: Applications of arithmetic with powers of 10

Lesson 12: Applications of arithmetic with powers of 10

Approximating with powers of 10

Lesson 13: Definition of scientific notation

Scientific notation example: 0.0000000003457

Scientific notation examples
Unit 7: Exponents and scientific notation

Lesson 14: Multiplying, dividing, and estimating with scientific notation

Multiplying in scientific notation example

Multiplying & dividing in scientific notation

Scientific notation word problem: U.S. national debt

Lesson 3: Rational and irrational numbers

Intro to rational & irrational numbers

Classifying numbers: rational & irrational

Lesson 4: Square roots on the number line

Approximating square roots to hundredths

Lesson 5: Reasoning about square roots

Approximating square roots

Extra practice: Irrational numbers

Classifying numbers

Lesson 6: Finding side lengths of triangles

Intro to the Pythagorean theorem

Lesson 7: A proof of the Pythagorean Theorem

Bhaskara’s proof of the Pythagorean theorem
Unit 8: Pythagorean theorem and irrational numbers

Lesson 8: Finding unknown side lengths

Pythagorean theorem example

Lesson 10: Applications of the Pythagorean Theorem

Pythagorean theorem word problem: carpet

Pythagorean theorem word problem: fishing boat

Extra practice: Pythagorean theorem

Pythagorean theorem proof using similarity

Another Pythagorean theorem proof

Lesson 12: Edge lengths and volumes

Dimensions of a cube from its volume

Lesson 14: Decimal representations of rational numbers

Converting a fraction to a repeating decimal

Lesson 15: Infinite decimal expansions

Converting repeating decimals to fractions (part 1 of 2)

Converting repeating decimals to fractions (part 2 of 2)
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