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Friday, January 13, 2012

1-13-2012 CCCS Ratios and Proportional Relationships Grades 6

Continuing my way through the standards, offering links, lessons, and ideas to help teach the 
Core Curriculum Content Standards
Math Grade 6
Ratios and Proportional Relationships

Ratios and Proportional RelationshipsThe goal -     Students will connect ratio and rate to whole number multiplication and division and use concepts of ratio and rate to solve problems.
More specifically, students use reasoning about multiplication and division to solve ratio and rate problems about quantities. By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Thus students expand the scope of problems for which they can use multiplication and division to solve problems, and they connect ratios and fractions. Students solve a wide variety of problems involving ratios and rates.
  1. Math Live
  2. Maths Masters
  3. Virtual Manipulatives
Understand ratio concepts and use ratio reasoning to solve problems.
1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
For example,

  • “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” 
  • “For every vote candidate A received, candidate C received nearly three votes.” 
  1. Ratios
  2. Ratio and Proportion
  3. Matching Equivalent Ratios
  4. Ratios and Proportions Introduction
·         2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
For example,

  • “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” 
  • “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1

  1. Ratios, Rates, Percents, and Proportion
  2. Rate Tutorial
  3. Unit Rate Practice
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.
  • 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.
  1. Rhythm Wheels
  2. Ratio Tables and Proportions
  3. Ratio Tables and Proportions Video
  4. Proportion Workout
  5. Determine the Ratio
  • Solve unit rate problems including those involving unit pricing and constant speed. 
    For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

  1. Proportion Mini-lesson
  2. Ratio and Proportion Videos
  3. Rate Demos
  4. Practice 
  5. More Practice
  6. Ratio Workout

  • 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.

  1. Ratio, Proportion, Percent, Probability Lessons
  2. Percent Wheel
  3. Percent and Proportions Lesson
  4. Percentage Lessons
  5. With a Calculator
  • Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

  1. Scale Measures
  2. Converter
  3. Dirt Bike Proportions
  4. Ratio Blaster
  5. Ratio Stadium
  6. Math 6 Spy Guys

Please post a comment below if you have a site or lesson idea to share for teaching this standard.  I would love your input!

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