Math Curriculum

5th Grade

Course Purpose:

Students will solve problems involving fractions, decimals, and volume using the four operations.

Outcomes and Components:

M.5.9  

Students will multiply fractions by fractions and fractions by whole numbers and explain the relationship of the product to the factors.

Pacing  

Instruct/

Assess

 

Component Code

 

Component

Standard(s)

    M.5.9.1   Demonstrate that a fraction is a division of the numerator by the denominator by solving word problems that require the division of a whole number leading to a fractional answer. 5.NF.B.3
    M.5.9.2   Multiply a fraction by a fraction and simplify the product. 5.NF.B.4.a
    M.5.9.3  

Interpret the product (a/b)*q as the result of a sequence of operations a×q÷b in real world context.

5.NF.B.4.a
    M.5.9.4  

Demonstrate and explain when multiplying a fraction by an improper fraction the product is greater than the initial fraction and when multiplying a fraction by a fraction less than one, the product is less than the initial fraction.

5.NF.B.5.a

5.NF.B.5.b

    M.5.9.5  

Relate and explain why multiplying (a x n)/(b x n) results in an equivalent fraction.

5.NF.B.5.b
    M.5.9.6  

Find the area of a rectangle with fractional side lengths by tiling it and compare it to the area found by multiplying it by the side lengths.

5.NF.B.4.b
    M.5.9.7  

Solve problems with real world contexts involving the multiplication of fractions and mixed numbers.

5.NF.B.6

Academic Vocabulary: 

Content Vocabulary: