Lesson Plan
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|Lesson Title: Multiply and Divide Fractions and Decimals |Date: |
|Subject: Math |Grade Level(s): 6-7 |
|Teacher: |Time Frame: 60 minutes |
|Lesson Summary: |
|Students will be able to multiply and divide fractions and decimals. |
|Lesson Objectives |
| The students will know… |
|How to identify the reciprocal of a number. |
|That dividing by a fraction is the same as multiplying by its reciprocal. |
|How to multiply fractions, including mixed numbers. |
|How to divide fractions, including mixed numbers. |
|How to multiply decimals to hundredths. |
|How to divide decimals to hundredths. |
| |
|The students will be able to… |
|Multiply and divide fractions and decimals. |
|Lesson Plan |
|Time: |Procedure: |Materials Needed: |
|5 minutes |Warm-up Exercise: |PowerPoint Presentation, slide 2 |
| |Show slide 2. Review mixed numbers and improper fractions and how | |
| |to change a mixed number to an improper fraction. Introduce the | |
| |term reciprocal and show students how to find the reciprocal of a | |
| |number. Then point out the matching mixed numbers and improper | |
| |fractions and the numbers and their reciprocals on the slide. Ask | |
| |students what they notice about the reciprocals. | |
|10 minutes |Motivation (Real-world Applications): | |
| |Tell students that a lumberyard wants to cut a 4.5-foot piece of | |
| |timber into smaller pieces that are each 0.5 feet long. Ask: After | |
| |the timber is cut, how many pieces will there be? Have students | |
| |write the problem using decimals and then write it using fractions.| |
| |Help students find that there will be 9 pieces of timber. Students | |
| |may want to use models to solve the problem. After the activity, | |
| |tell students they will learn how to divide fractions and decimals | |
| |to solve problems like these. | |
| | | |
| |Have students give examples of other real-world situations in which| |
| |they might divide or multiply fractions or decimals to solve a | |
| |problem. | |
|20 minutes |Presentation of New Material: |PowerPoint Presentation, slides 3–12 |
| |When presenting slides 3–8 on multiplying and dividing fractions, | |
| |emphasize that checking for common factors before multiplying will | |
| |make computations easier. When presenting slides 9–12 on | |
| |multiplying and dividing decimals, make sure students understand | |
| |how to place the decimal point in the product and quotient. When | |
| |dividing by a decimal, help students to choose a power of 10 that | |
| |will make the divisor a whole number. Caution students to multiply | |
| |both the divisor and dividend by the same power of ten. | |
|10 minutes |Guided Practice: |Fraction Box and Decimal Box (separate boxes with slips of paper on |
| |Have students work in pairs. Each student in the pair draws a |which is written one fraction or mixed number or one decimal in tenths|
| |number from the fraction box and the decimal box. Together, the |or hundredths) |
| |pair multiplies and divides the two fractions (or mixed numbers) | |
| |and the two decimals. | |
|10 minutes |Independent Practice: |Fraction and Decimal Boxes from Guided Practice; colored pencils; |
| |Have students choose two fractions or two decimals to multiply |several sheets of plain paper per student |
| |and/or divide. Then have students write and illustrate a "how-to" | |
| |guide that explains how to multiply or divide the fraction or | |
| |decimal. | |
|5 minutes |Closing Activities: | |
| |Circulate among students and collect one how-to guide from each | |
| |student to share with the class or post in the classroom. | |
|Homework: Have students complete the Study Island Worksheet on Compute Solutions. |
|Differentiation: Students needing additional support can use models such as fraction strips, tiles, grids, and pictures as necessary to help understand the |
|concepts of multiplying and dividing fractions and decimals. They can also use models to verify that they have correctly multiplied and divided the fractions and |
|decimals. Have students needing an additional challenge make up and solve word problems that require students to multiply or divide fractions or decimals. |
|Teacher Reflection: |
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