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
-
Non-congruent 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 slope-intercept equation
-
Lesson 9: Slopes don’t have to be positive
-
Intro to intercepts
-
Slope-intercept equation from slope & point
-
Linear & nonlinear functions: word problem
-
Lesson 11: Equations of all kinds of lines
-
Converting to slope-intercept form
-
Extra practice: Slope
-
Worked examples: slope-intercept intro
-
Solutions to 2-variable equations
-
Worked example: solutions to 2-variable equations
-
Lesson 12: Solutions to linear equations
-
Lesson 13: More solutions to linear equations
-
Completing solutions to 2-variable equations
-
Extra practice: Intercepts
-
x-intercept 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: 20-7x=6x-6
-
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=7/5x-5 & y=3/5x-1
-
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=y-4
-
Systems of equations with substitution: y=4x-17.5 & 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
-
Two-way frequency tables and Venn diagrams
-
Two-way 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)
Student Ratings & Reviews
No Review Yet