Ch 1: Common Core Math Grade 6 - The Number System: Operations & Factoring

Use the lessons and quizzes in this chapter on operations and factoring to help your sixth grade students meet Common Core math requirements. You can also see some our suggestions for incorporating these topics into your math curriculum.

Standard: 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 (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? (CCSS.MATH.CONTENT.6.NS.A.1)

Standard: Fluently divide multi-digit numbers using the standard algorithm. (CCSS.MATH.CONTENT.6.NS.B.2)

Standard: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. (CCSS.MATH.CONTENT.6.NS.B.3)

Standard: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2). (CCSS.MATH.CONTENT.6.NS.B.4)

Students who meet these Common Core standards will be able to divide fractions by fractions and find common factors and multiples. The lessons in this collection are designed to help students learn about the following:

• Solving complex fractions
• Steps involved in division
• Adding, subtracting, multiplying and dividing decimals
• Finding the greatest common factor
• Identifying the least common multiple with prime factorization
• Method for finding the least common multiple
• Least common multiple and greatest common factor word problems

You'll be able to tell when your students have mastered these standards when they are able to interpret quotients of fractions and solve word problems that require division of fractions by other fractions. They'll also be able to fluently perform operations on multi-digit numbers and decimals and find the greatest common factor of two whole numbers.

How to Use These Lessons in Your Classroom

Have a Factor Race

Watch the lesson 'How to Find the Greatest Common Factor.' Call out a pair of numbers and have students race to be the first one to find the greatest common factor. First one to five wins!

Write Word Problems

Have students view the lesson 'Word Problems: Greatest Common Factor & Least Common Multiple.' Divide students into small groups, and ask them to work together to create word problems that involve finding the greatest common factor and the least common multiple. Compile the problems and assign them to students as a class activity or for homework.

Assign Quizzes for Homework

Use the printable worksheets that accompany each lesson as a homework handout. Discuss the problems and answers in class the next day, using the lesson videos to explain any topics students are unclear on.

8 Lessons in Chapter 1: Common Core Math Grade 6 - The Number System: Operations & Factoring
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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