Lesson Planner. Lesson 10. Skills Maintenance. Multiplying Fractions by a Fraction Equal to 1. Skills Maintenance. Homework

Size: px
Start display at page:

Download "Lesson Planner. Lesson 10. Skills Maintenance. Multiplying Fractions by a Fraction Equal to 1. Skills Maintenance. Homework"

Transcription

1 Lesson 0 Multiplying Fractions by a Fraction Equal to : Quiz Lesson 0 Skills Maintenance Lesson Planner Skills Maintenance Multiplication Facts Building Number Concepts: Multiplying Fractions by a Fraction Equal to In this lesson, we move away from fraction bars for finding common denominators and look at the traditional way of multiplying the numerator and denominator by the same number. Students learn that when we multiply the numerator and the denominator by the same number, it is like multiplying by. Also when the numerator and the denominator of a fraction are the same, the fraction is equal to (e.g., =, =, = ). Objective Students will find common denominators by multiplying fractions by a fraction equal to. Skills Maintenance Multiplication Facts Activity Solve the multiplication facts Unit : Quiz Distribute the quiz, and remind students that the questions involve material covered over the previous lessons in the unit. Homework Students fill in the missing parts of fractions that equal. Next students write the fraction equal to that they need to multiply by in order to get the equivalent fraction. Then students write the equivalent fraction. In Distributed Practice, students continue practicing whole-number operations to help them gain proficiency. Skills Maintenance Multiplication Facts (Interactive Text, page ) Unit Lesson 0 Activity Students solve basic multiplication facts. This prepares them for the multiplication they do in the Building Number Concepts section. Unit Lesson 0

2 Lesson 0 Lesson 0 Multiplying Fractions by a Fraction Equal to : Quiz Building Number Concepts: Multiplying Fractions by a Fraction Equal to How do we make an equivalent fraction by multiplying by? (Student Text, pages 9) Multiplying Fractions by a Fraction Equal to How do we make an equivalent fraction by multiplying by? Any fraction with the same numerator and denominator is equal to one. The fractions below are all equal to. = 9 9 = = = Demonstrate Engagement Strategy: Teacher Modeling Demonstrate how to find equivalent fractions in one of the following ways: : Use the mbook Teacher Edition for Student Text, page. Overhead Projector: Copy the circles, and modify as discussed. Board: Draw the circles, and modify as discussed. Remind students that we can use shapes to look at fractions. Display a circle. Divide the circle into thirds and shade. Help students notice that there are three shaded parts and three total parts. When the numerator and the denominator are the same number, the fraction is equal to. Walk through the other examples: 9 9,,. Show each circle, shade the parts, and point out each numerator and denominator to show that the fraction is equal to. Tell students we want to change to tenths. Step Find the number we multiply by to get 0: = 0. Show in the denominator. Let s see how we change the fraction into tenths. The key idea is to multiply by a fraction equal to. Unit Lesson 0 Steps for Making Equivalent Fractions STEP We start with the denominator. We need to find the number that we multiply by to get 0. We know that = 0. STEP Now we make the fraction in the middle equal to. If the denominator is, then the numerator must also be. Now we have a fraction equal to. STEP We make the new fraction by multiplying the numerators and denominators. = 0 = 0 = 0 To find an equivalent fraction, we multiply by a fraction equal to. Step Make the fraction equal to by finding a fraction with the same numerator and denominator. Show a in the numerator:. Step Multiply the numerators: =, so = 0. The fraction 0 is the equivalent to. Discuss Call students attention to the Power Concept, and explain that it will be helpful when completing the activities. To find an equivalent fraction, we multiply by a fraction equal to. Unit Lesson 0

3 Lesson 0 Demonstrate Next have students look at the top of page 9 of the Student Text where we use fraction bars to show that and 0 are equivalent fractions. Help students notice that the bars line up at and 0. This means they are equivalent fractions. Make sure students see that we get the same result. Explain to students that it is important to move toward this method because denominators can get very large. Imagine drawing a fraction with a denominator of 00, or imagine folding a paper 00 times. Tell students that we need a more efficient method. We need to get faster at finding equivalent fractions and move away from using fraction bars and folding paper. Now turn students attention to the fractions in Example. Walk through each of the fractions, pointing out each part of the process as we multiply by a fraction equal to. If necessary, show students a visual representation of the equivalent fractions. This can be a fraction bar, a circle, or another visual representation. Invite student volunteers to explain the steps they took to find the equivalent fraction. Ask: We get the same answer when we use fraction bars. Let s use this method. = 0 Fraction bars are difficult to use for larger numbers because it is hard to see the fair shares. When we multiply by a fraction equal to, we can find an equivalent fraction more easily. Example Make equivalent fractions using fractions equal to. 0 = 0 0 = 0 Apply Skills Turn to Interactive Text, page. = = = = Quiz = = Fifths Tenths Reinforce Understanding Use the mbook Study Guide to review lesson concepts. Unit Lesson 0 9 Which number do you multiply by to get? () What number do we multiply the numerator by to get the numerator of the equivalent fraction? () What is the fraction equal to in this case? Q R What is the equivalent fraction? Q 9 R 9 Check for Understanding Engagement Strategy: Look About Ask students to use the strategy of multiplying a fraction by a fraction equal to to find the equivalent fraction of in twelfths. Tell students to write their solution in large writing on a piece of paper or a dry erase board. Have students hold up their solutions and encourage students to look about if they need help. Unit Lesson 0

4 Lesson 0 Lesson 0 Apply Skills Apply Skills (Interactive Text, page ) Have students turn to Interactive Text, page, to practice these concepts. Activity Students fill in the missing fraction equal to and determine the numerator for the equivalent fraction. Activity Students show equivalent fractions using fraction bars. Monitor students work as they complete these activities. Watch for: Can students identify the fraction equal to needed to get the equivalent fraction? Can students divide the second fraction bar in the correct number of parts? Can students identify the area of the second fraction bar that needs to be shaded? Can students identify the equivalent fraction from the shaded fraction bar? Apply Skills Multiplying Fractions by a Fraction Equal to Activity Fill in the missing numbers to make equivalent fractions... 0 = 0 = Activity Unit Lesson 0.. = 0 = = = 0 Use fraction bars to show equivalent fractions. Divide the fraction bar and shade it..... = 0 0 = 9 9 = 9 9 = Reinforce Understanding Remind students that they can review lesson concepts by accessing the online mbook Study Guide. Unit Lesson 0

5 Unit Quiz Form A : Quiz Assess Quiz Administer Quiz Form A in the Assessment Book, pages. (If necessary, retest students with Quiz Form B from the mbook Teacher Edition following differentiation.) Students All Scored 0% or above Quiz Form A Assess Differentiate Day Day Extension Fractions Part Tell if the fractions are (a) greater than, (b) less than, or (c) equal to... Part b. b. 0 a. c. Estimate the fractional parts using benchmarks. Circle the correct answer below the bar.... Part Write the fraction shown by the shapes b a Form A Unit Scored Below 0% Reinforcement Differentiate Review Quiz Form A with class. Identify students for Extension or Reinforcement. Extension For those students who score 0 percent or better, provide the On Track! Activities from Unit, Lessons 0, from the mbook Teacher Edition. Reinforcement For those students who score below 0 percent, provide additional support in one of the following ways: Have students access the online tutorial provided in the mbook Study Guide. Have students complete the Interactive Reinforcement Exercises for Unit, Lessons 9, in the mbook Study Guide. Provide teacher-directed reteaching of unit concepts. Unit Quiz Form A Part Make equivalent fractions by shading the fraction bars.. Make fraction bars equal to.. Make fraction bars equal to.. Make fraction bars equal to.. Make fraction bars equal to. Unit Quiz Form A Unit Quiz Form A Unit Lesson 0

6 Unit Quiz Form A Lesson 0 Working With Data Unit Unit Quiz Form B Fractions Form B Part Part Sarah and her brother are doing a science experiment in the kitchen. They are trying to see how long it takes before cold liquid boils. They put a thermometer into the pot of water, and they write down the temperature every minute. Use the data in the table to make a line graph. Be sure to label your graph. Degrees Temperature minute 0 degrees minutes 0 degrees minutes 00 degrees minutes 0 degrees minutes 00 degrees Length of Time Before Cold Liquid Boils Time in Minutes Tell if the fractions are (a) greater than, (b) less than, or (c) equal to... Part a. b. 0 b. a. Estimate the fractional parts using benchmarks. Circle the correct answer below the bar.... Part Write the fraction shown by the shapes... b c.. 0 Unit Quiz Form A 00 Sopris West Educational Services. All rights reserved. Unit Quiz Form B Unit Quiz Form B Unit Quiz Form B Part Make equivalent fractions by shading the fraction bars.. Make fraction bars equal to.. Make fraction bars equal to.. Make fraction bars equal to. Working With Data Part Sarah and her brother are doing a science experiment in the kitchen. They are trying to see how long it takes before cold liquid boils. They put a thermometer into the pot of water, and they write down the temperature every minute. Use the data in the table to make a line graph. Be sure to label your graph. Temperature minute 0 degrees minutes 90 degrees minutes 0 degrees minutes 0 degrees minutes 90 degrees. Make fraction bars equal to. Degrees Length of Time Before Cold Liquid Boils Time in Minutes 00 Sopris West Educational Services. All rights reserved. Unit Quiz Form B 00 Sopris West Educational Services. All rights reserved. Unit Quiz Form B Unit Lesson 0

7 Lesson 0 Homework Homework Go over the instructions on page 0 of the Student Text for each part of the homework. Activity Students fill in the missing parts of fractions that equal. Remind students that a fraction with the same numerator and denominator is a fraction equal to. Activity Students are to write the fraction equal to that they need to multiply by to get the equivalent fraction. Activity Fill in the missing number to show that fractions with the same numerator and denominator are equal to..? =. =?..? =. 0? = =?.? 0 = 0 Activity Write the fraction equal to that you need to multiply by in each problem. Then tell the equivalent fraction. Model....?? =? and 9?? =? and?? =? and?? =? and 9 Activity Distributed Practice Solve..,00 apple,?? =? 0 Answer: and 0.,9 + 99,.....,?? =??? =? and and?? =? and?? =? and. 00,000. q9 R Activity Distributed Practice Students continue practicing wholenumber operations. 0 0 Unit Lesson 0 Unit Lesson 0