I-CANyons Parent Toolkit for Fifth Grade Mathematics

---

Numbers and Operations - Fractions:  I CAN...

Standard

Add and subtract fractions with unlike denominators.

Core Standard

5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

In Other Words

Students will add and subtract fractions with unlike denominators. A tutorial of this can be found at: http://studyjams.scholastic.com/studyjams/jams/math/fractions/add-sub-unlike-denom.htm.

If Mastered

If mastered, your child can engage in this activity.

If Not Yet Mastered

With your child, work through this tutorial activity to support your child's understanding . Additional practice problems can be found here. 

Standard

Multiply fractions

Core Standard

5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

a. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

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.

In Other Words

Understand and apply multiplication of fractions.

If Mastered

Students can practice fluency through the following games:
Game 1
Game 2

If Not Yet Mastered

With parental support students can review an interactive concrete example of multiplication of fractions here.

Standard

Divide fractions

Core Standard

5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

c.Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

In Other Words

Apply understanding of division of fractions.

If Mastered

Students can practice fluency through the following games: 
Game 1
Game 2
Game 3

If Not Yet Mastered

This website is a tutorial for dividing fractions. 

This website has multiple activities to support division of fractions.

Standard

Solve word problems involving fractions

Core Standard

5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

5.NF.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.

5.NF.7c Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

In Other Words

Students will be able to multiply a fraction by whole numbers and by other fractions.

If Mastered

If students have mastered these standards refer to this website.
Possible activities that are on the website under K-5 Math Teaching Resources:
Using Equivalent Fractions to Subtract Fractions
Addition Word Problem with Fractions
Subtraction Word Problem with Fractions

For 5.NF.7, refer to this website. 

If Not Yet Mastered

For students who need additional support, refer to this website.
Possible activities:
Khan Academy
Adding and subtracting fractions with unlike denominators word problems
LearnZillion Instructional Videos

For 5.NF.7, refer to this website. 
Possible Activities:
Illustrative Mathematics Project
Illustrations
Khan Academy: Dividing fractions by whole numbers or Dividing whole numbers by fractions
LearnZillion Instructional Videos