Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
*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
  1. SOL 4.5bc - b) add/sub fractions w/ like and unlike denominators; c) add/sub decimals
  2. SOL 5.5a - find sum/diff/product/quotient of two decimals through thousandths
  3. SOL 7.3b - add/sub/mult/div integers
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Modeling Multiplication of Fractions (PDF) - Modeling multiplication of fractions (Word)
  2. VDOE Enhanced Scope and Sequence Lesson: Modeling Division of Fractions (PDF) - Modeling division of fractions (Word)
  3. Notes: Multiplying Fractions (flipchart) - introduction to multiplying fractions with examples.
  4. Notes: Multiplying Fractions with Penguins! (flipchart) - notes with interactive practice word problems.
  5. Notes: Dividing Fractions (flipchart) - notes, video and 15 practice problems
  6. Activity: Multiplying and Dividing MATHO (flipchart) MATHO Student Board (flipchart) - Bingo type game with 20 practice problems
  7. Activity: Multiplying and Dividing Fractions ActivEngage (flipchart) - Self paced ActivEngage practice with 20 practice problems
  8. Activity: Fraction Jeopardy (ppt) - Jeopardy game with all fraction operations.
  9. VDOE Algebra Readiness Curriculum Companion: Working with Fractions (pdf)
Real World Lessons
  1. Mathalicious: Are We Alone? - What is the probability of finding intelligent life in the cosmos?
Practice
  1. Worksheet: Multiplying and Dividing Fractions (doc) - guided notes with 32 practice problems for multiplying and dividing fractions
  2. Worksheet: Multiplying and Dividing Fractions Review (doc) - 6 practice problems | Review #2 (doc)- 8 practice problems
  3. Worksheet: Multiplying and Dividing Fractions Word Problems (doc) - 8 word problems
  4. Worksheet: Dividing Fractions (doc) - 36 division practice problems
SOL Mini Quiz
  1. SOL 6.6a Mini Quiz: Multiplying and Dividing Fractions (pdf)
Skills
Videos
  1. YouTube: How to Multiply and Divide Fractions in Algebra 
  2. PH: Multiplying a fraction by a fraction
  3. PH: Multiplying a mixed number by a mixed number
  4. PH: Dividing a fraction by a fraction
  5. PH: Dividing a mixed number by a mixed number
Explore Learning
  1. 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.
  2. 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.
  3. Dividing Mixed Numbers: Choose the correct steps to divide mixed numbers. Use step-by-step feedback to diagnose and correct incorrect steps.
  4. 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.
  5. Multiplying Mixed Numbers: Choose the correct steps to multiply mixed numbers. Use the step-by-step feedback to diagnose incorrect steps.
Websites
  1. Visual Fractions: Modeling Fractions with Number Lines and Circles
  2. Super Teacher Tools: Jeopardy - Multiply and Divide Fractions
  3. Math Playground: Dividing Fractions
  4. Math-Play: Soccer Math - Dividing Fractions Game
  5. Jamit Fractions: Dividing Fractions
  6. Jamit Fractions: Lesson and Fun Games for Mastering Fractions
  7. Math-Play: Multiple Fraction Games
  8. Kids Math Games: Multiply and Divide Fractions
  9. BrainGenie: Division of Fractions
  10. Shodor: Multiplying and Dividing Fractions
VDOE Interventions
  1. 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