By the end of this unit, students are expected to:
Understand that estimation is a tool used in a variety of situations including checking answers and making decisions, and develop strategies for estimating results of arithmetic operations.
Use benchmarks and other strategies to estimate results of operations with fractions
Use estimates to check the reasonableness of exact computations
Give various reasons to estimate and identify when a situation calls for an overestimate or an underestimate
Use estimates and exact solutions to make decisions
Revisit and continue to develop meanings for the four arithmetic operations and skill at using algorithms for each.
Determine when addition, subtraction, multiplication, or division is the appropriate operation to solve a problem
Develop ways to model sums, differences, products, and quotients with areas, fraction strips, and number lines
Use knowledge of fractions and equivalence of fractions to develop algorithms for adding, subtracting, multiplying, and dividing fractions
Write fact families with fractions to show the inverse relationship between addition and subtraction, and between multiplication and division
Compare and contrast dividing a whole number by a fraction to dividing a fraction by a whole number
Recognize that when you multiply or divide a fraction, your answer might be less than or more than the numbers you started with
Solve real-world problems using arithmetic operations on fractions
Use variables to represent unknown values and equations to represent relationships.
Represent unknown real-world and abstract values with variables
Write equations (or number sentences) to represent relationships among real-world and abstract values
Use fact families to solve for unknown values
Dividing Whole Numbers
Fractional Number Sense
Adding & Subtracting Fractions
Adding & Subtracting Fractions Board Game - Interactive game board
Adding Fractions NLVM - Illustrates what it means to find a common denominator and combine
Multiplying Fractions
Brownie Pan Multiplication Model - video using real brownies to model multiplication of fractions. Includes paper/pencil model of same problem
Dividing Fractions
BrainingCamp Dividing Fractions - Dividing fractions with fraction bar models
Dividing Fractions - Line bar model method practice