Wayne RESA

Unit PlannerBig Ideas Math 6

Wayne Resa - Math / Grade 6 / Mathematics / Big Ideas Math 6 / Week 15 - Week 18
2 Curriculum Developers
Unit Abstract

Sixth Grade

  • Understand ratios, rates, and unit rates.
  • Compare ratios using tables.
  • Find percent as a rate per 100
  • Solve problems involving finding the whole, given a part and the percent
  • Use ratio reasoning to convert measurement units
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Expectations/Standards
MI: Mathematics
MI: Grade 6
Ratios & Proportional Relationships
6.RP.A. Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.A.3a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
6.RP.A.3c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
6.RP.A.3d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
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Practice Standards

Students will have opportunities to:

  • SMP1 - Make sense of problems and persevere in solving them
  • SMP2 - Reason abstractly and quantitatively
  • SMP3 - Construct viable arguments and critique the reasoning of others
  • SMP4 - Model with Mathematics
  • SMP5 - Use appropriate tools strategically
  • SMP6 - Attend to precision
  • SMP7 - Look for and make use of structure
  • SMP8 - Look for and express regularity in reasoning
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Concepts from Previous Units

Fourth Grade

  • Equate fractions and decimals with denominators of 10 and 100
  • Generate equivalent fractions
  • Convert within a measurement system from a larger unit to a smaller unit

Fifth Grade

  • Multiply and divide decimals
  • Convert standard measurement units within a measurement system
Connections to Upcoming Units

Seventh Grade

  • Find unit rates associated with ratios of fractions, areas, and other quantities in like or different units.
  • Decide whether two quantities are proportional using ratio tables and graphs.
  • Identify the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions.
  • Represent proportional relationships with equations.
  • Explain what a point (x,y) means on a proportional graph in context, particularly (0,0) and (1,r), where r is the unit rate.
  • Use proportionality to solve ratio problems.
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Key Terms / Vocabulary

Teacher Edition Vocabulary: Ratio, Part:Part, Part:Whole, Ratio, Ratio Table, Rate, Unit Rate, Equivalent Rate, Scale Factor, Percent

Other Vocabulary: Mixture, Pint, Garlic Bulbs, Garlic Cloves, Mixture, Drought, Tip, Sales Tax, Peninsula, Suspension Bridge,


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Lesson Plan Sequence
The following lesson plan sequence is obtained from Big Ideas Learning (2015). Each lesson is aligned with a learning objective to inform the teachers on what students should be able to do at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day.
Gr 6_Unit 5_Ratio and Rates
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Language Support
The use of sentence stems as a language support are beneficial to all students, including English Language Learners. The use of sentence stems encourages the learning of mathematics in a language rich environment which has an impact on other learning as well. The sentence stems are a beginning place for supporting students' use of academic language and encourage discussion and writing as students learn content.
Language Supports
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