Unit 5 Dividing Fractions
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
I can decide if a number is prime or composite.
I can find the prime factorization of a number using the Tree Diagram or the Ladder Method.
I can find factor pairs for a number.
Prime Factorization
Khan Academy Videos
Recognizing Prime and Composite
Khan Academy Practice
IXL Math
Common Factors
Khan Academy Video
Greatest Common Factor Explained
Khan Academy Practice
IXL Math
Video Lesson Summary: Common Factors and Common Multiples From Illustrative Mathematics
2
I can find the least common multiple of two whole numbers.
I can explain what the least common multiple is.
I can explain what a common multiple is.
I can solve problems using common factors and multiples.
Common Multiples
Khan Academy Video
Least Common Multiple Exercise: 3 numbers
Khan Academy Practice
IXL Math
Using Common Multiples and Common Factors
YouTube Video
Khan Academy Videos
LCM and GCF word problems | Factors and multiples
Khan Academy Practice
IXL Math
Video Lesson Summary: Common Factors and Common Multiples From Illustrative Mathematics
3
I can add and subtract fractions with unlike denominators.
I can make equivalent fractions.
4
Building Toward:
NC.6.NS.1
Building On:
NC.5.NBT.6
When dividing, I know how the size of a divisor affects the quotient.
5
Addressing:
NC.6.NS.1
Building Toward:
NC.6.NS.1
Building On:
NC.3.OA.2
When given a division equation, I can write a multiplication equation that represents the same situation.
I can explain two ways of interpreting a division expression such as 27÷3.
I can explain how multiplication and division are related.
I can decide whether a division question is asking “how many groups?” or “how many in each group?”.
I can create a diagram or write an equation that represents division and multiplication questions.
Meanings of Division
Khan Academy Video
Examples relating multiplication to division
Khan Academy Practice
Relate Division to Multiplication
Relate Fraction Division to Fraction Multiplication
Interpreting Division Situations
Digital Manipulatives
YouTube Video
Khan Academy Practice (NC.3.OA)
Division with groups of objects
Video Lesson Summary: Meanings of Division From Illustrative Mathematics
6
Addressing:
NC.6.NS.1
Building On:
NC.5.NF.4
NC.5.NF.7
I can use diagrams and multiplication and division equations to represent “how many groups?” questions.
I can find how many groups there are when the amount in each group is not a whole number.
I can find how many groups there are when the number of groups and the amount in each group are not whole numbers.
How Many Groups? (Part 1)
Digital Manipulatives
4.2 Reasoning with Pattern Blocks
YouTube Video
Division - How Many In Each Group?
IXL Math
Divide Fractions and Mixed Numbers
How Many Groups? (Part 2)
Digital Manipulatives
10.2 More Reasoning with Pattern Blocks
YouTube Video
Division - How Many In Each Group?
IXL Math
Divide Fractions by Whole Numbers in Recipes
Divide Fractions and Mixed Number Word Problems
Video Lesson Summary: Using Diagrams to Divide Fractions From Illustrative Mathematics
7
I can use a tape diagram to represent equal-sized groups and find the number of groups.
I can use diagrams and multiplication and division equations to represent and answer “what fraction of a group?” questions.
I can tell when a question is asking for the number of groups and that number is less than 1.
Using Diagrams to Find the Number of Groups
Khan Academy Video
Understanding Division of Fractions
IXL Math
Divide Whole Numbers by Unit Fractions Using Models
What Fraction of a Group?
Digital Manipulatives
YouTube Videos
What is a Fraction? [Part 2: Fraction of a Group or Set)
Video Lesson Summary: Using Diagrams to Divide Fractions From Illustrative Mathematics
8
I can tell when a question is asking for the amount in one group.
I can use diagrams and multiplication and division equations to represent and answer “how much in each group?” questions.
I can find the amount in one group in different real-world situations.
How Much in Each Group? (Part 1)
YouTube Video
Fraction Division, “How Much in Each Group”, and Tape Diagrams
Khan Academy Practice
Dividing Fractions by whole numbers
How Much in Each Group? (Part 2)
Khan Academy Video
Dividing whole numbers & fractions: t-shirts
Khan Academy Practice
Dividing fractions word problems
Video Lesson Summary: Using Diagrams to Divide Fractions From Illustrative Mathematics
9
I can divide a number by a unit fraction 1/b by reasoning with the denominator, which is a whole number.
I can divide a number by a non-unit fraction a/b by reasoning with the numerator and denominator, which are whole numbers.
I can use division and multiplication to solve problems involving fractional lengths.
Dividing by Unit and Non-Unit Fractions
Khan Academy Video
Whole Number Divided by a Fractions Ex.
Khan Academy Practice
Divide Whole Numbers by Fractions
Fractional Lengths
YouTube Video
Solving Fraction Word Problems - Fraction Division
IXL Math
10
Addressing:
NC.6.NS.1
NC.6.G.1
NC.6.G.2
Building Toward:
NC.6.G.2
Building On:
NC.5.NF.4
I can use division and multiplication to solve problems involving areas of rectangles with fractional side lengths.
I can use division and multiplication to solve problems involving areas of triangles with fractional bases and heights.
I can explain how to find the volume of a rectangular prism using cubes that have a unit fraction as their edge length.
I know how to find the volume of a rectangular prism even when the edge lengths are not whole numbers.
Rectangles with Fractional Side Lengths
YouTube Videos
Rectangles with Fractional Side Lengths
Finding Area of a Rectangle with Fractional Sides - Tiling
Khan Academy Practice
Area of rectangles with fraction side lengths
Fractional Lengths in Triangles and Prisms
Digital Manipulatives
18.3 Volumes of Cubes and Prisms
YouTube Videos
Finding the volume of rectangular prisms with fractional sides
Volume - Cubes With Fractional Edge Lengths
Khan Academy Practice
Video Lesson Summary: Area and Volume with Fractions From Illustrative Mathematics
11
I can solve volume problems that involve fractions.
Khan Academy Videos
Volume of a Rectangular Prism: Fractional Cubes
Volume of a Rectangular Prism: Fractional Dimensions
Volume of a Rectangular Prism: Word Problem
Khan Academy Practice
Volumes with Cube with Fraction Lengths
Volume by Multiplying Area of Base time Heights
Video Lesson Summary: Area and Volume with Fractions From Illustrative Mathematics
12
I can use mathematical expressions to represent and solve word problems that involve fractions.