7th grade (Illustrative Mathematics) | 1 Big School (By Blue Brain)

Course Content

Unit 1: Scale drawings

Lesson 1: What are scaled copies?
Exploring scale copies
Lesson 2: Corresponding parts and scale factors
Identifying corresponding parts of scaled copies
Identifying scale copies
Identifying scale factor in drawings
Lesson 5: The size of the scale factor
Interpreting scale factors in drawings
Scale factors and area
Lesson 6: Scaling and area
Lesson 7: Scale drawings
Scale drawings
Lesson 9: Creating scale drawings
Creating scale drawings
Lesson 11: Scales without units
Interpreting a scale drawing
Lesson 12: Units in scale drawings
Solving a scale drawing word problem

Unit 2: Introducing proportional relationships

Lesson 3: More about constant of proportionality
Constant of proportionality from tables
Lesson 4: Proportional relationships and equations
Identifying the constant of proportionality from equation
Constant of proportionality from table (with equations)
Equations for proportional relationships
Writing proportional equations from tables
Lesson 5: Two equations for each relationship
Interpret proportionality constants
Lesson 6: Using equations to solve problems
Writing proportional equations
Lesson 7: Comparing relationships with tables
Proportional relationships: movie tickets
Proportional relationships: bananas
Proportional relationships: spaghetti
Is side length & area proportional?
Is side length & perimeter proportional?
Lesson 9: Solving problems about proportional relationships
Comparing proportionality constants
Lesson 10: Introducing graphs of proportional relationships
Identifying proportional relationships from graphs
Lesson 11: Interpreting graphs of proportional relationships
Constant of proportionality from graph
Interpreting graphs of proportional relationships
Lesson 12: Using graphs to compare relationships
Comparing constants of proportionality
Lesson 2: Exploring circles
Labeling parts of a circle

Unit 3: Measuring circles

Lesson 3: Exploring circumference
Radius, diameter, circumference & π
Lesson 8: Relating area to circumference
Area of a circle
Lesson 9: Applying area to circles
Area of a shaded region
Partial circle area and arc length
Radius & diameter from circumference
Lesson 5: Say it with decimals
Fraction to decimal: 11/25
Worked example: Converting a fraction (7/8) to a decima
Lesson 7: One hundred percent
Rational number word problem: ice

Unit 4: Proportional relationships and percentages

Lesson 10: Tax and tip
Interpreting linear expressions: diamonds
Lesson 11: Percentage contexts
Percent word problem: guavas
Percent word problems: tax and discount
Lesson 1: Interpreting negative numbers
Missing numbers on the number line examples
Comparing rational numbers
Lesson 2: Changing temperatures
Adding negative numbers example
Adding numbers with different signs
Lesson 3: Changing elevation
Adding negative numbers on the number line
Number equations & number lines
Adding fractions with different signs

Unit 5: Rational number arithmetic

Lesson 4: Money and debts
Rational number word problem: checking account
Lesson 5: Representing subtraction
Adding & subtracting negative numbers
Lesson 6: Subtracting rational numbers
Interpreting numeric expressions example
Absolute value as distance between numbers
Lesson 7: Adding and subtracting to solve problems
Interpreting negative number statements
Negative number word problem: Alaska
Lesson 9: Multiplying rational numbers
Why a negative times a negative makes sense
Why a negative times a negative is a positive
Lesson 10: Multiply!
Multiplying positive and negative fractions
Lesson 11: Dividing rational numbers
Dividing positive and negative numbers
Dividing negative fractions
Lesson 12: Negative rates
Interpreting multiplication & division of negative numbers
Lesson 13: Expressions with rational numbers
Substitution with negative numbers
Ordering expressions
Negative signs in fractions
Expressions with rational numbers
Lesson 14: Solving problems with rational numbers
Intro to order of operations
Rational number word problem: cab
Lesson 4: Reasoning about equations and tape diagrams (part 1)
Writing expressions word problems
Equation word problem: super yoga (1 of 2)
Equation word problem: super yoga (2 of 2)
Lesson 6: Distinguishing between two types of situations
Interpreting linear expressions: flowers
Lesson 7: Reasoning about solving equations (part 1)
Intro to two-step equations
Lesson 9: Dealing with negative numbers
Two-step equations intuition
Worked example: two-step equations

Unit 6: Expressions, equations, and inequalities

Lesson 10: Different options for solving one equations
Two-step equations with decimals and fractions
Find the mistake: two-step equations
Lesson 11: Using equations to solve problems
Two-step equation word problem: computers
Two-step equation word problem: oranges
Lesson 13: Reintroducing inequalities
Testing solutions to inequalities
Lesson 17: Modeling with inequalities
Two-step inequality word problem: R&B
Lesson 18: Subtraction with equivalent expressions
Adding & subtracting fractions
Lesson 19: Expanding and factoring
Distributive property with variables
Factoring with the distributive property
Lesson 21: Combining like terms (part 2)
Simplifying expressions
Equivalent expressions: negative numbers & distribution
Lesson 22: Combining like terms (part 3)
Simplifying expressions with rational numbers
Lesson 1: Relationships of angles
Angles: introduction
Lesson 2: Adjacent angles
Complementary & supplementary angles
Lesson 3: Nonadjacent angles
Vertical angles
Lesson 5: Using equations to solve for unknown angles
Equation practice with complementary angles
Equation practice with supplementary angles
Lesson 7: Building polygons (part 2)
Construct a triangle with constraints
Triangle inequality theorem

Unit 7: Angles, triangles, and prisms

Lesson 10: Drawing triangles (part 2)
Construct a right isosceles triangle
Lesson 11: Slicing solids
Slicing a rectangular pyramid
Lesson 12: Volume of right prisms
Volume of triangular prism & cube
Lesson 2: Chance experiments
Intuitive sense of probabilities
Lesson 3: What are probabilities?
Intro to theoretical probability
Lesson 4: Estimating probabilities through repeated experiments
Experimental probability
Theoretical and experimental probabilities
Making predictions with probability
Probability models example: frozen yogurt
Lesson 5: More estimating probabilities
Simple probability: yellow marble
Simple probability: non-blue marble
Lesson 8: Keeping track of all possible outcomes
Sample spaces for compound events
Counting outcomes: flower pots
Lesson 9: Multi-step experiments
Die rolling probability
Probability of a compound event
Count outcomes using tree diagram

Unit 8: Probability and sampling

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Course Content

Unit 1: Scale drawings

Lesson 1: What are scaled copies?

Exploring scale copies

Lesson 2: Corresponding parts and scale factors

Identifying corresponding parts of scaled copies

Identifying scale copies

Identifying scale factor in drawings

Lesson 5: The size of the scale factor

Interpreting scale factors in drawings

Scale factors and area

Lesson 6: Scaling and area

Lesson 7: Scale drawings

Scale drawings

Lesson 9: Creating scale drawings

Creating scale drawings

Lesson 11: Scales without units

Interpreting a scale drawing

Lesson 12: Units in scale drawings

Solving a scale drawing word problem

Unit 2: Introducing proportional relationships

Lesson 3: More about constant of proportionality

Constant of proportionality from tables

Lesson 4: Proportional relationships and equations

Identifying the constant of proportionality from equation

Constant of proportionality from table (with equations)

Equations for proportional relationships

Writing proportional equations from tables

Lesson 5: Two equations for each relationship

Interpret proportionality constants

Lesson 6: Using equations to solve problems

Writing proportional equations

Lesson 7: Comparing relationships with tables

Proportional relationships: movie tickets

Proportional relationships: bananas

Proportional relationships: spaghetti

Is side length & area proportional?

Is side length & perimeter proportional?

Lesson 9: Solving problems about proportional relationships

Comparing proportionality constants

Lesson 10: Introducing graphs of proportional relationships

Identifying proportional relationships from graphs

Lesson 11: Interpreting graphs of proportional relationships

Constant of proportionality from graph

Interpreting graphs of proportional relationships

Lesson 12: Using graphs to compare relationships

Comparing constants of proportionality

Lesson 2: Exploring circles

Labeling parts of a circle

Unit 3: Measuring circles

Lesson 3: Exploring circumference

Radius, diameter, circumference & π

Lesson 8: Relating area to circumference

Area of a circle

Lesson 9: Applying area to circles

Area of a shaded region

Partial circle area and arc length

Radius & diameter from circumference

Lesson 5: Say it with decimals

Fraction to decimal: 11/25

Worked example: Converting a fraction (7/8) to a decima

Lesson 7: One hundred percent

Rational number word problem: ice

Unit 4: Proportional relationships and percentages

Lesson 10: Tax and tip

Interpreting linear expressions: diamonds

Lesson 11: Percentage contexts

Percent word problem: guavas

Percent word problems: tax and discount

Lesson 1: Interpreting negative numbers

Missing numbers on the number line examples

Comparing rational numbers

Lesson 2: Changing temperatures

Adding negative numbers example

Adding numbers with different signs

Lesson 3: Changing elevation

Adding negative numbers on the number line

Number equations & number lines

Adding fractions with different signs

Unit 5: Rational number arithmetic