In this Grade 5 Pengi Math lesson from Chapter 6, students solve real-world multi-step word problems involving fraction multiplication and division. They use tape diagrams to represent problems visually and write equations with parentheses to model and solve each situation. Students also practice checking the reasonableness of their solutions to build number sense and problem-solving confidence.
Section 1
Using Multiplication to Find a Total in a Multi-Step Problem
To solve a multi-step word problem, break the problem down into smaller parts.
First, write a number sentence to find a total amount using fraction multiplication.
Then, use that result in a second step, such as addition or subtraction, to find the final answer.
Section 2
Creating Word Problems from Tape Diagrams
To create a word problem from a tape diagram, identify the key components: the total value (the whole), the number of equal units it is divided into (the denominator), the number of units being considered (the numerator), and the unknown value the diagram is asking to find. Weave these components into a real-world story with a question.
Section 3
Assess the Reasonableness of a Fractional Answer
To check if a fractional answer from a division problem is reasonable, compare the dividend () and the divisor ():
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Using Multiplication to Find a Total in a Multi-Step Problem
To solve a multi-step word problem, break the problem down into smaller parts.
First, write a number sentence to find a total amount using fraction multiplication.
Then, use that result in a second step, such as addition or subtraction, to find the final answer.
Section 2
Creating Word Problems from Tape Diagrams
To create a word problem from a tape diagram, identify the key components: the total value (the whole), the number of equal units it is divided into (the denominator), the number of units being considered (the numerator), and the unknown value the diagram is asking to find. Weave these components into a real-world story with a question.
Section 3
Assess the Reasonableness of a Fractional Answer
To check if a fractional answer from a division problem is reasonable, compare the dividend () and the divisor ():
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter