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Saturday, January 14, 2012

1-14-2012 CCCS Ratios and Proportional Relationships Grade 7

Continuing my way through the standards, offering links, lessons, and ideas to help teach the 
Core Curriculum Content Standards
Math Grade 7
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. Dirt Bike Proportions
  2. Ratio Blaster
  3. Ratio Stadium
  4. Math 6 Spy Guys

Understand ratio concepts and use ratio reasoning to solve problems.
1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. 
For example,
  • If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
  1. Ratios 
  2. Ratio Workout
  3. Practice
  4. More Practice
  5. Determine the Ratio
  6. Rate Demos
  7. Rate Tutorial
  8. Unit Rate Practice
  9. Scale Measures
  10. Converter
·    2.Recognize and represent proportional relationships between quantities. 
For example,
  • Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
  1. Ratios and Proportions Introduction
  2. Proportion Mini-lesson
  3. Ratio and Proportion Videos
  4. Matching Equivalent Ratios
  5. Proportion Workout

  • Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
  1. Rhythm Wheels
  2. Ratio and Proportion
  3. Ratio Tables and Proportions
  4. Ratio Tables and Proportions Video
  5. Unit Rate Problems

  • Represent proportional relationships by equations. 
  • For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
  1. Proportional Relationships
  2. Proportion Word Problems
  3. Linear Equation

  • Explain what a point (xy) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
  1. Understanding Slope
  2. Slope as a Unit Rate
  3. Interpret Slope
3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
  1. Ratios, Rates, Percents, and Proportion
  2. Ratio, Proportion, Percent, Probability Lessons
  3. Percent Wheel
  4. Percent and Proportions Lesson
  5. Percentage Lessons
  6. With a Calculator

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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