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
Computation and Estimation
Focus: Applications of Operations with Rational Numbers


The student will
b)   estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions. 
Essential Knowledge and Skills
  • Solve single-step and multistep practical problems that involve addition and subtraction with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less. Answers are expressed in simplest form.
  • Solve single-step and multistep practical problems that involve multiplication and division with fractions and mixed numbers that include denominators of 12 or less. Answers are expressed in simplest form.
Essential Understandings
  • What is the role of estimation in solving problems?  Estimation helps determine the reasonableness of answers.
Vertical Articulation
  1. SOL 4.5d - solve single-/multistep practical problems involving add/sub fractions and decimals
  2. SOL 5.5b - create/solve single-/multistep practical problems involving decimals
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: Adding and Subtracting Fractions (ppt) - warm up and notes and practice with adding and subtracting fractions
  4. Activity- Adding and Subtracting Fractions: ActivEngage (flipchart) - Self Paced- 20 questions
  5. 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: Adding and Subtracting Word Problems (doc) - 11 word problems with challenge questions
  2. Worksheet: Operations with Fractions Word Problems (doc) - 14 word problems
  3. Worksheet: Subtracting Fractions with Unlike Denominators With Regrouping (doc) - 20 practice problems
  4. Worksheet: Subtraction Review with Modeling (doc) - 5 practice problems with modeling
  5. Worksheet: Adding and Subtracting Fractions Review (doc)
  6. Worksheet:  Converting Improper Fractions to Mixed Numbers (doc) - 10 practice problems using pictures
  7. Practice:  Fraction Word Problems (flipchart) - 14 slides to practice fraction word problems
SOL Mini Quiz
  1. SOL 6.6b Mini Quiz: Fraction Operations (pdf)
Skills
Videos
  1. YouTube: Subtracting Mixed Numbers
  2. YouTube: Maths the Wacky Way - Fractions
  3. PH: Estimating sums or differences with fractions
  4. PH: Adding mixed numbers to solve problems
  5. PH: Subtracting mixed numbers using renaming
Explore Learning
  1. Adding Fractions (Fraction Tiles): Add fractions with the help of the Fractionator, a fraction-tile-making machine in the Gizmo. Model sums by placing the tiles on side-by-side number lines. Explore the usefulness of common denominators in adding. Express sums as improper fractions or mixed numbers.
  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. Fractions with Unlike Denominators: Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically.
  5. 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.
  6. 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. Jamit Fractions: Lesson and Fun Games for Mastering Fractions
  3. Math-Play: Football Math Adding Fractions
  4. Math-Play: Adding and Subtracting Fractions Game
  5. http://www.visualfractions.com
  6. BrainGenie: Adding and Subtracting Fractions
  7. BrainGenie: Mixed Numbers and Improper Fractions
  8. MathSlice: Fraction Operations
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.4c
5.NF.6
7.NS.1d
7.NS.2b
7.NS.2c
7.NS.3
7.EE.3