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.