Lesson Plan - Study Island



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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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