Solving Problems With Ratios Of Fractions Lesson Plan Example for 7th Grade Students

Topic: Solving Problems with Ratios of Fractions

Objectives & Outcomes

By the end of this module, students will be able to solve problems using ratios of fractions, including problems that involve calculating unknown quantities.

Materials

Fraction cards (cards with various fractions written on them, such as ½, ?, ¼, etc.)

Card stock and markers

Calculator (optional)

Warm-up

Review what fractions are and how to represent them.

Ask students to give examples of fractions they have seen before (e.g. ½, ¼, etc.).

Ask students to share a time when they had to solve a problem with fractions.

Direct Instruction

Introduce the concept of a ratio of fractions. Explain that a ratio of fractions is a way of comparing two fractions by using a ratio symbol (e.g. ¾ = 3:4).

Demonstrate how to solve a problem with ratios of fractions using the cross-multiplying method. This method involves:

Cross-multiplying: Multiply the numerators of the top fraction by the denominators of the bottom fraction and vice versa.

Solving for the unknown: Substitute the resulting fractions into the original ratio and simplify.

Provide additional examples of how to solve problems with ratios of fractions using the cross-multiplying method.

Guided Practice

Give students a set of problems to solve using the cross-multiplying method.

Provide assistance and guidance as needed.

Independent Practice

Have students work in pairs to solve problems using the cross-multiplying method.

Encourage students to discuss their reasoning and check their results with their partner.

Closure

Have students share their solutions to the problems and discuss any challenges they faced.

Review the steps of the cross-multiplying method and encourage students to use it in future problem solving.

Assessment

Observe students during the independent practice to assess their ability to apply the cross-multiplying method to solve problems.

Collect and review the students' solutions to the problem-solving task for accuracy and use of the cross-multiplying method.

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