Mathematics
7th Grade Illustrative Math Units
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Unit 7-1: Scale Drawings
Unit 7-2: Introducing Proportional Relationships
Unit 7-3: Measuring Circles
Unit 7-4: Proportional Relationships and Percentages
Unit 7-5: Rational Number Arithmetic
Unit 7-6: Expressions, Equations, and Inequalities
Unit 7-7: Angles, Triangles, and Prisms
Unit 7-8: Probability and Sampling
Unit One, Lesson Topic
1 – What is a Scaled Copy?
2 – Corresponding Parts and Scale Factors
3 – Making Scaled Copies
4 – Scaled Relationships
5 – The Size of Scale Factor
6 – Scaling and Area
7 – Scale Drawings
8 – Scale Drawings/Maps
9 – Creating Scale Drawings
10 – Changing Scales in
Scale Drawings
11 – Scales Without Units
12 – Units in Scale Drawings
13 – Draw it to Scale
Unit 1 Review
Khan Academy
Online Practice
Relate scale drawings to area
Scale drawing practice
Unit One
Unit Two, Lesson Topic
1 – One of These Things
is Not Like the Others
2 – Introducing Proportional Relationships with Tables
3 – More about Constant
of Proportionality
4 – Proportional Relationships and Equations
5 – Two Equations for Each Relationship
6 – Using Equations to Solve Problems
7 – Comparing Relationships
with Tables
8 – Comparing Relationships
with Equations
9 – Solving Problems about Proportional Relationships
10 – Introducing Graphs of Proportional Relationships
11 – Interpreting Graphs of Proportional Relationships
12 – Using Graphs to
Compare Relationships
13 – Two Graphs for
Each Relationship
14 – Four Representations
15 – Using Water Efficiently
Unit 2 Review
Khan Academy
Support Videos
Proportional Relationships:
Movie Tickets
Proportional Relationships:
Bananas
Proportional Relationships:
Spaghetti
Is side length and area
proportional?
Is side length and perimeter proportional?
Unit Three, Lesson Topic
1 – How well can you measure?
2 – Exploring Circles
3 – Exploring Circumference
4 – Applying Circumference
5 – Circumference and Wheels
6 – Estimating Areas
7 – Exploring the Area of a Circle
8 – Relating Area to Circumference
9 – Applying Area of
Circles
10 – Distinguishing Circumference and Area
11 – Stained-Glass Window
Unit 3 Review
Khan Academy
Support Videos
Area of a circle
Khan Academy Online Practice
Shaded areas
Area of parts of circles
Quiz 2
Homework Help
7.3.4 Morgan
7.3.6 Morgan
Unit 3 Review Morgan
Unit Four, Lesson Topic
1 – Lots of Flags
2 – Ratios and Rates with Fractions
3 – Revisiting Proportional Relationships
4 – Half as Much Again
5 – Say it with Decimals
6 – Increasing and Decreasing
7 – One Hundred Percent
8 – Percent Increase and Decrease with Equations
9 – More and Less than 1%
10 – Tax and Tip
11 – Percentage Contexts
12 – Finding the Percentage
13 – Measurement Error
14 – Percent Error
15 – Error Intervals
16 – Posing Percentage Problems
Unit 4 Review
Homework Help
7.4.2 Morgan
7.4.4 Morgan
7.4.14 Morgan
Unit Five, Lesson Topic
1 – Interpreting Negative Numbers
2 -- Changing Temperatures
3 – Changing Elevation
4 – Money and Debts
5 – Representing Subtraction
6 – Subtracting Rational Numbers
7 – Adding and Subtracting to Solve Problems
8 – Position, Speed, and Direction
9 – Multiplying Rational Numbers
10 – Multiply!
11 – Dividing Rational Numbers
12 – Negative Rates
13 – Expressions with Rational Numbers
14 – Solving Problems with Rational Numbers
15 – Solving Equations with Rational Numbers
16 – Representing Contexts with Equations
17 – The Stock Market
Unit 5 Review
Khan Academy
Support Videos
Adding negative numbers example
Adding numbers with different signs
Why a negative times a negative makes sense
Why a negative times a negative is a positive
Substitution with negative numbers
Ordering expressions
Negative signs in fractions
Expressions with rational numbers
Khan Academy Online Practice
Adding negative numbers
Signs of sums
Adding negative numbers on the number line
Number equations and number lines
Interpret negative number addition and subtraction expressions
Adding and subtracting negative fractions
Absolute value to find distance
Adding and subtracting rational numbers
Adding and subtracting negative numbers
Addition and subtraction: find the missing value
Equivalent expressions with negative numbers
Interpreting negative number statements
Negative number addition and subtraction: word problems
Quiz 2
Multiplying and dividing negative number word problems
Quiz 3
Homework Help
7.5.8 Morgan
7.5.12 Morgan
7.5.14 Morgan
Unit Six, Lesson Topic
1 – Relationships between Quantities
2 – Reasoning about Contexts with Tape Diagrams (Part 1)
3 – Reasoning about Contexts with Tape Diagrams (Part 2)
4 – Reasoning about Equations and Tape Diagrams (Part 1)
5 – Reasoning about Equations and Tape Diagrams (Part 2)
6 – Distinguishing between Two Types of Situations
7 – Reasoning about Solving Equations (Part 1)
8 – Reasoning about Solving Equations (Part 2)
9 – Dealing with Negative Numbers
10 – Different Options for Solving One Equation
11 – Using Equations to Solve One Equation
12 – Solving Problems about Percent Increase or Decrease
13 – Reintroducing Inequalities
14 – Finding Solutions to Inequalities in Context
15 – Efficiently Solving Inequalities
16 – Interpreting Inequalities
17 – Modeling with Inequalities
18 – Subtraction in Equivalent Expressions
19 – Expanding and Factoring
20 – Combining Like Terms (Part 1)
21 – Combining Like Terms (Part 2)
22 – Combining Like Terms (Part 3)
Unit 6 Review
Khan Academy
Support Videos
Writing expressions word problems
Equation word problems: super yoga (1 of 2)
Equation word problem: super yoga (2 of 2)
Distributive property with variables
Factoring with the distributive property
Khan Academy Online Practice
Writing expressions word problems
One-step inequalities
Two-step inequalities
Distributive property with variables (negative numbers)
Equivalent expressions with negative numbers (multiplication and division)
Khan Academy Unit 6 Practice Test
Homework Help
7.6.2 Morgan
7.6.4 Morgan
7.6.6 Morgan
7.6.14 Morgan
7.6.20 Morgan
Unit Seven, Lesson Topic
1 – Relationships of Angles
2 – Adjacent Angles
3 – Nonadjacent Angles
4 – Solving for Unknown Angles
5 – Using Equations to Solve for Unknown Angles
6 – Building Polygons (Part 1)
7 – Building Polygons (Part 2)
8 – Triangles with 3 Common Measures
9 – Drawing Triangles (Part 1)
10 – Drawing Triangles (Part 2)
11 – Slicing Solids
12 – Volume of Right Prisms
13 – Decomposing Bases for Area
14 – Surface Area of Right Prisms
15 – Distinguishing Volume and Surface Area
16 – Applying Volume and Surface Area
17 – Building Prisms
Unit 7 Review
Khan Academy
Support Videos
Equation practice with complementary angles
Equation practice with supplementary angles
Khan Academy Online Practice
Unit Eight, Lesson Topic
1 – Mystery Bags
2 – Chance Experiments
3 – What are Probabilities?
4 – Estimating Probabilities Through Repeated Experiments
5 – More Estimating Probabilities
6 – Estimating Probabilities Using Simulation
7 – Simulating Multi-step Experiments
8 – Keeping Track of All Possible Outcomes
9 – Multi-step Experiments
10 – Designing Simulations
11 – Comparing Groups
12 – Larger Populations
13 – What Makes a Good Sample?
14 – Sampling in a Fair Way
15 – Estimating Population Measures of Center
16 – Estimating Population Proportions
17 – More About Sampling Variability
18 – Comparing Populations Using Samples
19 – Comparing Populations with Friends
20 – Memory Test
Unit 8 Review
Khan Academy
Support Videos
Intuitive sense of probabilities
Die rolling probability
Probability of a compound event
Count outcomes using tree diagram
Reasonable samples
Khan Academy Online Practice
Comparing probabilities
Simple probability
Quiz 1
Valid claims
Quiz 3
Homework Help
7.8.4 Morgan
7.8.6 Morgan
7.8.9 Morgan
7.8.10 Morgan
7.8.11 Morgan
7.8.17 Morgan
7.8.18 Morgan
7.8.19 Morgan
7.8.20 Morgan