CCSS.Math.Content.6.RP.A

CCSS.Math.Content.6.RP.A is a cluster heading. These are the individual standards under it.

• 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.

• 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.

• 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 l...

• CCSS.Math.Content.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 coor...

• CCSS.Math.Content.6.RP.A.3b

  Solve unit rate problems including those involving unit pricing and constant speed.

• CCSS.Math.Content.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 pa...

• CCSS.Math.Content.6.RP.A.3d

  Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

01

What Students Need to Do

Students compare two quantities using ratio language and notation. They find unit rates and use equivalent ratios, tables, graphs, and equations to solve problems.

02

What Mastery Looks Like

Students can interpret a ratio in context, generate equivalent ratios, and find a unit rate. They choose a useful representation and label quantities and units correctly.

03

Common Misconceptions

Students often reverse the order of quantities or drop the units. They may add the same amount to both terms instead of multiplying both by the same factor.

04

How to Assess It

Exit ticket: Six notebooks cost $9. Find the cost per notebook and the cost of 14 notebooks, then show your reasoning with an equation or table.

1. 01

   Give pairs colored counters to build a 2:3 ratio, scale it three ways, and record each equivalent ratio in a table.

2. 02

   Ask students, “Which is the better buy, 8 drinks for $12 or 12 drinks for $16?” and require a written unit-rate explanation.

3. 03

   Have pairs match cards showing the same relationship as a context, ratio, table, equation, and graph.

4. 04

   Use grocery ads to compare unit prices, then ask students to explain which package offers the better value.

• CCSS.Math.Content.7.EE.B.3

  Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), usi...