6th Grade Common Core Math

Tips and Support for Common Core Math Implementation

Tips, Mathematical Practices, and Ideas about Ratios, Rates, and Proportions

Topic 12- Ratios, Rates, and Proportions

January 21-27 (Jan 28 posttest/pretest)

Lesson12-1 Understanding Ratios CCSS6.RP.1 Arizona StandardsM06-S1C1-01
12-2 Equal Ratios and Proportions 6.RP.3 M06-S1C1-01
12-3 Understanding Rates and Unit Rates 6.RP.2 M06-S1C1-01, M06-S1C1-03
12-4 Comparing Rates 6.RP.3.b M06-S1C1-01, M06-S1C1-04
12-5 Distance, Rate, and Time 6.EE.9 M06-S1C2-04, M06-S3C3-04
12-6 Problem Solving: Draw a Picture** (2 days) 6.RP.2 M06-S3C2-01

Double Dose Recommendations: 

  • Pre-teach the following: Mean, Median, Mode, 3 days (#68-#70)
  • 12-6  Problem Solving, 2 days

Tip of the Week:

The following tips  come straight from the ADE:

Standard ADE Explanation and Example(s)
CCSS.Math.Content.6.RP.A.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.” ADE Screen Shot 2014-01-29 at 3.19.13 PM
CCSS.Math.Content.6.RP.A.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.”  ADE Screen Shot 2014-01-29 at 3.26.42 PM
CCSS.Math.Content.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. ADE Screen Shot 2014-01-29 at 3.29.20 PM
CCSS.Math.Content.6.RP.A.3b  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?
ADE Screen Shot 2014-01-29 at 3.30.26 PM

Technology Integration Resources:

Mathematical Practices:

Attend to Precision — Remind students that ratios can be written as a fraction (3/7), which is the same as 3 to 7, which is the same as 3:7. They all compare the portion of 3 to the whole of 7. Ask students about the math terms they can apply in different situations. — What math terms apply in this situation? or “What math language, definitions, properties can you use to explain ….?

How do you communicate precisely, using math language, when discussion ratios, rates, and proportions?

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