Sandra Luna McCune - CliffsNotes Grade 6 Common Core Math Review

CliffsNotes Grade 6 Common Core Math Review

Copyright 2015 by Houghton Mifflin Harcourt Publishing Company
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Library of Congress Control Number: 2014960089
ISBN: 978-0-544-37332-7 (pbk)
eISBN: 978-0-544-40979-8
v1.0615

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Common Core State Standards Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

This product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Officers.

This book is organized around the Grade 6 Common Core State Standards for Mathematics. These standards define what sixth-grade students are expected to understand and be able to do in their study of mathematics. They include content standards and mathematical practice standards.

In Grade 6, the content standards are grouped under five domains:

• Ratios and Proportional Relationships
• The Number System
• Expressions and Equations
• Geometry
• Statistics and Probability

Ratios and Proportional Relationships

Understand ratio concepts and use ratio reasoning to solve problems.

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.

CCSS.Math.Content.6.RP.A.2 Understand the concept of a unit rate 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 cup of flour for each cup of sugar. We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.

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.

• CCSS.Math.Content.6.RP.A.3.A 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.
• CCSS.Math.Content.6.RP.A.3.B 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?
• CCSS.Math.Content.6.RP.A.3.C Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means times the quantity); solve problems involving finding the whole, given a part and the percent.
• CCSS.Math.Content.6.RP.A.3.D Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

The Number System

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

CCSS.Math.Content.6.NS.A.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that because of is