Suitable for Grades: 5th Grade
CCSS: 5.NF.B.4
CCSS Description: 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.
Throughout this worksheet learners will increase and decrease integers by unit and non unit fractions.
Section A uses bar models to build students' confidence. Bar models are an effective visual tool to help learners understand increasing or decreasing an amount by a certain fraction.
In section B students will answer 8 further questions without the support of bar models.
Then section C shows learners how to use fraction multiplication in order to increase or decrease an amount by a fraction. Students will then use this method to answer another 8 questions.
Challenge your students in section D with four problem solving questions.