M.5.16 Solve real-world problems involving multiplication of fractions and mixed numbers

 

Lesson Plan for M.5.16

Grade Level: 5 Subject: Math  

Topic: Multiplication of Fractions and Mixed Numbers  

Objectives:

• Students will learn how to solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.

Materials:

• Whiteboard or projector
• Markers or pens
• Paper
• Fraction models (optional)

Procedure:

1. Introduction:

• Begin by reviewing the concept of multiplication of fractions and mixed numbers. You can use fraction models or equations to help students understand.

2. Activity:

• Present students with a real-world problem involving multiplication of fractions and mixed numbers. For example, you could ask them the following question:

If a recipe calls for 1/2 cup of flour per serving and you are making 4 servings, how much flour do you need?

• Have students work individually or in small groups to solve the problem. They can use visual fraction models or equations to represent the problem.

3. Discussion:

• Once students have solved the problem, lead a class discussion about their solutions. Ask students to explain how they solved the problem and why they chose to use the method they did.

4. Assessment:

• To assess students' understanding of the lesson, you can give them a short quiz or worksheet. You can also have them create their own real-world problems involving multiplication of fractions and mixed numbers and then solve the problems.

Differentiation:

• For students who need additional support, you can provide them with fraction models or other visual aids. You can also break down the problem into smaller steps.
• For students who are ready for a challenge, you can give them more complex problems to solve. You can also challenge them to come up with their own real-world problems involving multiplication of fractions and mixed numbers.

Extension:

• Have students research different cultures and cuisines around the world. Then, have them choose a recipe from another culture and calculate the ingredients needed to make the recipe for a certain number of servings.

Image:

The image you provided shows the following text:

M.5.16 Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.

This lesson plan is designed to help students achieve this objective.

Make a 12 Question Test for this Solve real-world problems involving multiplication of fractions and mixed numbers. Provide explanations for each question

Question 1:

A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How many total cups of flour and sugar are needed for the recipe?

Explanation:

To solve this problem, we need to multiply the two fractions together. To multiply fractions, we multiply the numerators and the denominators separately.

2/3 * 1/4 = (2 * 1) / (3 * 4) = 2/12 = 1/6

Therefore, we need 1/6 cup of flour and sugar for the recipe.

Question 2:

A farmer has 3 1/2 acres of land. He plants 2/3 of his land with corn. How many acres of land are planted with corn?

Explanation:

First, we need to convert the mixed number 3 1/2 to an improper fraction. To do this, we multiply the whole number part of the mixed number by the denominator of the fractional part and add the numerator of the fractional part.

3 1/2 = (3 * 2 + 1) / 2 = 7/2

Now, we can multiply the two fractions together.

7/2 * 2/3 = (7 * 2) / (2 * 3) = 14/6 = 7/3

Therefore, 7/3 acres of land are planted with corn.

Question 3:

A train travels at a speed of 45 miles per hour. How many miles will the train travel in 3 3/4 hours?

Explanation:

First, we need to convert the mixed number 3 3/4 to an improper fraction.

3 3/4 = (3 * 4 + 3) / 4 = 15/4

Now, we can multiply the two fractions together.

45 * 15/4 = (45 * 15) / 4 = 675/4

Therefore, the train will travel 675/4 miles in 3 3/4 hours.

Questions 4-12:

The remaining questions can be similar to the above examples, with different real-world contexts. For example:

• A baker has 5/6 of a cake left. She cuts it into pieces that are each 1/3 of the cake. How many pieces does she have?
• A painter needs to paint 3/4 of a wall. He can paint 1/10 of the wall in an hour. How many hours will it take him to paint the wall?
• A carpenter has a board that is 7 1/2 feet long. He needs to cut it into pieces that are each 2/3 of a foot long. How many pieces can he cut?
• A farmer has 2 1/4 acres of land. He plants 1/3 of his land with soybeans. How many acres of land are planted with soybeans?
• A cyclist travels at a speed of 20 miles per hour. How many miles will the cyclist travel in 2 1/2 hours?

Explanations for each question:

The explanations for each question will be similar to the explanations for the first three questions. To solve each problem, students will need to multiply the two fractions together and simplify the result, if necessary.

I hope this test is helpful!