Grade 4 - Multiplying With Fractions Unit
The Multiplying Fractions Unit involves identifying a variety of models to represent the process of multiplying fractions in order to solve problems. Questions to answer may include:
- How can equal jumps on a number line be used to represent multiplication situations involving fractions?
- How can arrays and area models be used to represent multiplication situations involving fractions?
- Given an equation involving multiplying a whole number by a fraction, how can you create a real-life situation to match it?
Math Concepts and Skills:
The student extends the understanding of whole number multiplication to multiply a fraction by a whole number.
The student:
- understands that a fraction (a/b) can be built by multiplying a unit fraction (1/b) by a whole number where a and b are whole numbers, a > 1 and b > 0.
- creates, represents and solves problems involving multiplying a whole number and a fraction that refers to the same whole.
Summative Assessment Task
Students determine how many candy bars were on the plate to begin with, if nine friends each receive `sf (1/2)` a candy bar.
Instructional Tasks/Formative Assessments
Given the fractional amounts of puzzle pieces that Marc and Amanda put in a 100 piece puzzle, students determine how many pieces Jacob puts in the puzzle.
Given that each slice of pie costs 75ยข, students determine how much two friends pay for their portions of the pie.
Students determine how many pounds of steak Keisha will need to feed five people at her barbecue if each person eats `sf (5/8)` of a pound of steak.
Students determine how many acres of farm land are used to plant different types of crops on the Miller's family farm.
Students determine how long it will take to cook a 20 pound turkey for Thanksgiving Dinner. Students will also need to double the quantities of ingredients in a stuffing recipe to serve 16 people.