Chapter 7: Multiply Fractions
5.NF.B.4 - Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Interpret the product (a/b) x q as a parts of a partition of q into b equal parts, equivalently as the result of a sequence of operations a x q / b
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.B.5 - Interpret multiplication as scaling (resizing), by:
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n X a )/(n x b) to the effect of multiplying a/b by 1.
5.NF.B.6 - Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Chapter 7 Vocabulary
denominator - the number below the bar in a fraction that tells how many equal parts are in the whole or in the group
equivalent fractions - fractions that name the same amount or part
mixed numbers - a number that is made up of a whole number and a fraction
numerator - the number above the bar in a fraction that tells how many equal parts of the whole are being considered
product - the answer to a multiplication problem
simplest form - a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator
Lesson 7.1 - Find Part of a Group
Students will be able to model to find the fractional part of a group.
IXL Practice (click on the links below)
Multiply fractions by whole numbers using arrays.
Multiply fractions by whole numbers I
Multiply two unit fractions using models
Lesson 7.2 - Investigate: Multiply Fractions and Whole Numbers
Students will be able to model the product of a fraction and a whole number.
IXL Practice (click on the links below)
Multiply unit fractions by whole numbers using models
Multiply two fractions using models: fill in the missing factors
Multiply fractions by whole numbers II
Lesson 7.3 - Fractions and Whole Numbers Multiplication
Students will be able to multiply fractions and whole numbers.
IXL Practice (click on the links below)
Multiply fractions by whole numbers using models: complete the equation
Multiplying fractions by whole numbers: choose the model
Lesson 7.4 - Investigate: Multiply Fractions
Students will be able to multiply fractions using models.
IXL Practice (click on the links below)
Multiply two fractions using models
Lesson 7.5 - Compare Fraction Factors and Products
Students will be able to relate the size of the product compared to the size of one factor when multiplying.
IXL Practice (click on the links below)
Scaling whole numbers by fractions
Scaling fractions by fractions
Lesson 7.6 - Fraction Multiplication
Students will be able to multiply fractions.
IXL Practice (click on the links below)
Multiply two fractions: word problems
Lesson 7.7 - Investigate: Area and Mixed Numbers
Students will use a model to multiply two mixed numbers and find the area
IXL Practice (click on the links below)
Understand fraction multiplication and area
Multiply fractions to find area
Lesson 7.8 - Compare Mixed Number factors and Products
Students will relate the size of the product to the factor when multiplying fractions greater than one.
IXL Practice (click on the links below)
Scaling mixed numbers by fractions
Lesson 7.9 - Multiply Mixed Numbers
Students will multiply mixed numbers.
IXL Practice (click on the links below)
Multiply a mixed number by a whole number
Multiply a mixed number by a fraction
Extra IXL Practice (click on the links below)
Multiplication with mixed numbers: word problems