7th grade (Illustrative Mathematics)
Categories: Mathematics, Sciences
Course Content
Unit 1: Scale drawings
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Lesson 1: What are scaled copies?
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Exploring scale copies
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Lesson 2: Corresponding parts and scale factors
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Identifying corresponding parts of scaled copies
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Identifying scale copies
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Identifying scale factor in drawings
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Lesson 5: The size of the scale factor
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Interpreting scale factors in drawings
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Scale factors and area
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Lesson 6: Scaling and area
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Lesson 7: Scale drawings
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Scale drawings
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Lesson 9: Creating scale drawings
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Creating scale drawings
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Lesson 11: Scales without units
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Interpreting a scale drawing
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Lesson 12: Units in scale drawings
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Solving a scale drawing word problem
Unit 2: Introducing proportional relationships
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Lesson 3: More about constant of proportionality
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Constant of proportionality from tables
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Lesson 4: Proportional relationships and equations
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Identifying the constant of proportionality from equation
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Constant of proportionality from table (with equations)
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Equations for proportional relationships
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Writing proportional equations from tables
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Lesson 5: Two equations for each relationship
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Interpret proportionality constants
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Lesson 6: Using equations to solve problems
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Writing proportional equations
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Lesson 7: Comparing relationships with tables
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Proportional relationships: movie tickets
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Proportional relationships: bananas
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Proportional relationships: spaghetti
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Is side length & area proportional?
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Is side length & perimeter proportional?
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Lesson 9: Solving problems about proportional relationships
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Comparing proportionality constants
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Lesson 10: Introducing graphs of proportional relationships
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Identifying proportional relationships from graphs
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Lesson 11: Interpreting graphs of proportional relationships
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Constant of proportionality from graph
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Interpreting graphs of proportional relationships
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Lesson 12: Using graphs to compare relationships
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Comparing constants of proportionality
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Lesson 2: Exploring circles
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Labeling parts of a circle
Unit 3: Measuring circles
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Lesson 3: Exploring circumference
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Radius, diameter, circumference & π
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Lesson 8: Relating area to circumference
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Area of a circle
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Lesson 9: Applying area to circles
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Area of a shaded region
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Partial circle area and arc length
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Radius & diameter from circumference
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Lesson 5: Say it with decimals
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Fraction to decimal: 11/25
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Worked example: Converting a fraction (7/8) to a decima
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Lesson 7: One hundred percent
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Rational number word problem: ice
Unit 4: Proportional relationships and percentages
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Lesson 10: Tax and tip
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Interpreting linear expressions: diamonds
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Lesson 11: Percentage contexts
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Percent word problem: guavas
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Percent word problems: tax and discount
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Lesson 1: Interpreting negative numbers
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Missing numbers on the number line examples
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Comparing rational numbers
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Lesson 2: Changing temperatures
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Adding negative numbers example
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Adding numbers with different signs
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Lesson 3: Changing elevation
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Adding negative numbers on the number line
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Number equations & number lines
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Adding fractions with different signs
Unit 5: Rational number arithmetic
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Lesson 4: Money and debts
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Rational number word problem: checking account
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Lesson 5: Representing subtraction
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Adding & subtracting negative numbers
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Lesson 6: Subtracting rational numbers
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Interpreting numeric expressions example
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Absolute value as distance between numbers
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Lesson 7: Adding and subtracting to solve problems
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Interpreting negative number statements
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Negative number word problem: Alaska
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Lesson 9: Multiplying rational numbers
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Why a negative times a negative makes sense
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Why a negative times a negative is a positive
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Lesson 10: Multiply!
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Multiplying positive and negative fractions
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Lesson 11: Dividing rational numbers
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Dividing positive and negative numbers
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Dividing negative fractions
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Lesson 12: Negative rates
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Interpreting multiplication & division of negative numbers
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Lesson 13: Expressions with rational numbers
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Substitution with negative numbers
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Ordering expressions
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Negative signs in fractions
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Expressions with rational numbers
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Lesson 14: Solving problems with rational numbers
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Intro to order of operations
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Rational number word problem: cab
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Lesson 4: Reasoning about equations and tape diagrams (part 1)
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Writing expressions word problems
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Equation word problem: super yoga (1 of 2)
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Equation word problem: super yoga (2 of 2)
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Lesson 6: Distinguishing between two types of situations
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Interpreting linear expressions: flowers
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Lesson 7: Reasoning about solving equations (part 1)
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Intro to two-step equations
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Lesson 9: Dealing with negative numbers
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Two-step equations intuition
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Worked example: two-step equations
Unit 6: Expressions, equations, and inequalities
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Lesson 10: Different options for solving one equations
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Two-step equations with decimals and fractions
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Find the mistake: two-step equations
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Lesson 11: Using equations to solve problems
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Two-step equation word problem: computers
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Two-step equation word problem: oranges
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Lesson 13: Reintroducing inequalities
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Testing solutions to inequalities
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Lesson 17: Modeling with inequalities
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Two-step inequality word problem: R&B
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Lesson 18: Subtraction with equivalent expressions
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Adding & subtracting fractions
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Lesson 19: Expanding and factoring
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Distributive property with variables
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Factoring with the distributive property
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Lesson 21: Combining like terms (part 2)
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Simplifying expressions
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Equivalent expressions: negative numbers & distribution
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Lesson 22: Combining like terms (part 3)
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Simplifying expressions with rational numbers
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Lesson 1: Relationships of angles
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Angles: introduction
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Lesson 2: Adjacent angles
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Complementary & supplementary angles
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Lesson 3: Nonadjacent angles
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Vertical angles
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Lesson 5: Using equations to solve for unknown angles
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Equation practice with complementary angles
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Equation practice with supplementary angles
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Lesson 7: Building polygons (part 2)
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Construct a triangle with constraints
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Triangle inequality theorem
Unit 7: Angles, triangles, and prisms
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Lesson 10: Drawing triangles (part 2)
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Construct a right isosceles triangle
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Lesson 11: Slicing solids
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Slicing a rectangular pyramid
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Lesson 12: Volume of right prisms
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Volume of triangular prism & cube
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Lesson 2: Chance experiments
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Intuitive sense of probabilities
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Lesson 3: What are probabilities?
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Intro to theoretical probability
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Lesson 4: Estimating probabilities through repeated experiments
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Experimental probability
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Theoretical and experimental probabilities
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Making predictions with probability
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Probability models example: frozen yogurt
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Lesson 5: More estimating probabilities
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Simple probability: yellow marble
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Simple probability: non-blue marble
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Lesson 8: Keeping track of all possible outcomes
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Sample spaces for compound events
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Counting outcomes: flower pots
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Lesson 9: Multi-step experiments
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Die rolling probability
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Probability of a compound event
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Count outcomes using tree diagram
Unit 8: Probability and sampling
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Lesson 11: Comparing groups
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Comparing distributions with dot plots (example problem)
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Lesson 14: Sampling in a fair way
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Reasonable samples
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