Module 1: Ratios and proportional relationships

Topic A: Proportional relationships

Learn

Intro to proportional relationships
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Proportional relationships: spaghetti
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Proportional relationships: movie tickets
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Proportional relationships: bananas
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Proportional relationships: graphs
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Proportional relationships
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Is side length & perimeter proportional?
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Is side length & area proportional?
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Practice

Identify proportional relationshipsGet 5 of 7 questions to level up!
Proportional relationshipsGet 5 of 7 questions to level up!

Topic B: Unit rate and constant of proportionality

Learn

Intro to rates
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Solving unit rate problem
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Solving unit price problem
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Constant of proportionality from equation
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Identifying constant of proportionality graphically
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Constant of proportionality from table (with equations)
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Comparing proportionality constants
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Interpret proportionality constants
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Worked example: Solving proportions
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Writing proportions example
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Proportion word problem: cookies
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Proportion word problem: hot dogs
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Equations for proportional relationships
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Writing proportional equations from tables
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Interpreting graphs of proportional relationships
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Practice

Unit ratesGet 5 of 7 questions to level up!
Constant of proportionality from equationsGet 3 of 4 questions to level up!
Constant of proportionality from graphsGet 3 of 4 questions to level up!
Constant of proportionality from tables (with equations)Get 3 of 4 questions to level up!
Compare constants of proportionalityGet 3 of 4 questions to level up!
Interpret constants of proportionalityGet 3 of 4 questions to level up!
Solving proportionsGet 5 of 7 questions to level up!
Writing proportionsGet 5 of 7 questions to level up!
Proportion word problemsGet 3 of 4 questions to level up!
Writing proportional equationsGet 3 of 4 questions to level up!
Identify proportional relationships from graphsGet 3 of 4 questions to level up!
Interpreting graphs of proportional relationshipsGet 3 of 4 questions to level up!
Interpret constant of proportionality in graphsGet 3 of 4 questions to level up!

Topic C: Ratios and rates involving fractions

Learn

Rates with fractions
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Practice

Rates with fractionsGet 3 of 4 questions to level up!

Topic D: Ratios of scale drawings

Learn

Exploring scale copies
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Corresponding points and sides of scaled shapes
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Identifying scale copies
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Identifying scale factors
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Identifying values in scale copies
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Scale drawing: centimeters to kilometers
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Making a scale drawing
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Interpreting a scale drawing
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Solving a scale drawing word problem
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Scale drawing word problems
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Practice

Explore scale copiesGet 3 of 4 questions to level up!
Corresponding sides and pointsGet 3 of 4 questions to level up!
Identify scale copiesGet 3 of 4 questions to level up!
Identify scale factor in scale drawingsGet 3 of 4 questions to level up!
Construct scale drawingsGet 3 of 4 questions to level up!

About this unit

"In Module 1, students build on their Grade 6 experiences with ratios, unit rates, and fraction division to analyze proportional relationships. They decide whether two quantities are in a proportional relationship, identify constants of proportionality, and represent the relationship by equations. These skills are then applied to real-world problems including scale drawings." Eureka Math/EngageNY (c) 2015 GreatMinds.org