*Items measuring these SOL will be completed without the use of a calculator.
Computation and Estimation
Focus: Applications of Operations with Rational Numbers
The student will
a) multiply and divide fractions and mixed numbers. 


Essential Knowledge and Skills 
 Multiply and divide with fractions and mixed numbers. Answers are expressed in simplest form.

Essential Understandings 
 How are multiplication and division of fractions and multiplication and division of whole numbers alike? Fraction computation can be approached in the same way as whole number computation, applying those concepts to fractional parts.


Vertical Articulation 
 SOL 4.5bc  b) add/sub fractions w/ like and
unlike denominators; c) add/sub
decimals
 SOL 5.5a  find
sum/diff/product/quotient of two
decimals through thousandths
 SOL 7.3b  add/sub/mult/div integers

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Modeling Multiplication of Fractions (PDF)  Modeling multiplication of fractions (Word)
 VDOE Enhanced Scope and Sequence Lesson: Modeling Division of Fractions (PDF)  Modeling division of fractions (Word)
 Notes: Multiplying Fractions (flipchart)  introduction to multiplying fractions with examples.
 Notes: Multiplying Fractions with Penguins! (flipchart)  notes with interactive practice word problems.
 Notes: Dividing Fractions (flipchart)  notes, video and 15 practice problems
 Activity: Multiplying and Dividing MATHO (flipchart)  MATHO Student Board (flipchart)  Bingo type game with 20 practice problems
 Activity: Multiplying and Dividing Fractions ActivEngage (flipchart)  Self paced ActivEngage practice with 20 practice problems
 Activity: Fraction Jeopardy (ppt)  Jeopardy game with all fraction operations.
 VDOE Algebra Readiness Curriculum Companion: Working with Fractions (pdf)

Real World Lessons 
 Mathalicious: Are We Alone?  What is the probability of finding intelligent life in the cosmos?

Practice 
 Worksheet: Multiplying and Dividing Fractions (doc)  guided notes with 32 practice problems for multiplying and dividing fractions
 Worksheet: Multiplying and Dividing Fractions Review (doc)  6 practice problems  Review #2 (doc) 8 practice problems
 Worksheet: Multiplying and Dividing Fractions Word Problems (doc)  8 word problems
 Worksheet: Dividing Fractions (doc)  36 division practice problems

SOL Mini Quiz 
 SOL 6.6a Mini Quiz: Multiplying and Dividing Fractions (pdf)

Skills 

Videos 
 YouTube: How to Multiply and Divide Fractions in Algebra
 PH: Multiplying a fraction by a fraction
 PH: Multiplying a mixed number by a mixed number
 PH: Dividing a fraction by a fraction
 PH: Dividing a mixed number by a mixed number

Explore
Learning 
 Multiplying Fractions: Multiply two fractions using an area model. Vary the vertical area to change one fraction and vary the horizontal area to change the other. Then examine the intersection of the areas to find the product.
 Dividing Fractions: Divide fractions using area models. Adjust the numerators and denominators of the divisor and dividend and see how the area model and calculation change.
 Dividing Mixed Numbers: Choose the correct steps to divide mixed numbers. Use stepbystep feedback to diagnose and correct incorrect steps.
 Multiplying Fractions: Multiply two fractions using an area model. Vary the vertical area to change one fraction and vary the horizontal area to change the other. Then examine the intersection of the areas to find the product.
 Multiplying Mixed Numbers: Choose the correct steps to multiply mixed numbers. Use the stepbystep feedback to diagnose incorrect steps.

Websites 
 Visual Fractions: Modeling Fractions with Number Lines and Circles
 Super Teacher Tools: Jeopardy  Multiply and Divide Fractions
 Math Playground: Dividing Fractions
 MathPlay: Soccer Math  Dividing Fractions Game
 Jamit Fractions: Dividing Fractions
 Jamit Fractions: Lesson and Fun Games for Mastering Fractions
 MathPlay: Multiple Fraction Games
 Kids Math Games: Multiply and Divide Fractions
 BrainGenie: Division of Fractions
 Shodor: Multiplying and Dividing Fractions

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Working with Fractions  The lessons focus on fraction computation, factors, and multistep practical problems with
fractions. Students are expected to model multiple representations of the multiplication and division of
fractions. (pdf)

Common Core
Standards 
4.NF.4a 
4.NF.4b 
5.NF.4a 
5.NF.5a 
5.NF.7a 
5.NF.7b 
5.NF.7c 
6.NS.1 
7.NS.2a 
7.NS.2b 
7.NS.2c 
7.NS.3 
7.EE.3 
