Grade+6+Domain+1+Cluster+1

=Grade 6 Domain 1 : Ratios and Proportional Reasoning= =Cluster 1: 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.”//===

Problems:
 * Ratios of wheels / seats / etc. to bicycles

Activities:
 * Ratio of marshmallows to cereal in Lucky Charms
 * Ratios of colors in packages of M&Ms, Skittles, Reese's Pieces, etc.
 * Ratios of shapes in tessellations made with Pattern Blocks
 * Ratios of colors in equal lengths of Cuisenaire Rods

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 16 Lesson 1

===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 ration of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." **or** "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.//===

Problems:
 * Comparing sale prices of milk of different quantities

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 16 Lesson 2
 * TV411's [|Working with Ratios] Flash Activity

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.
Problems:

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 16 Lesson 2

===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.===

Problems:

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 13 Lessons 1-4

===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?//===

Problems:

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 16 Lesson 2-3

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.
Problems:

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 17 Lesson 1
 * NLVM Online [|Percent Grids]

3d. Use ratio reasoning to convert measurements; manipulate and transform units appropriately when multiplying or dividing quantities.
Problems:

Activities:

External Resources:
 * //Houghton Mifflin Math Grade 6//, Chapter 8