Developed in Consultation with Georgia Educators

Transcription

1 Developed in Consultation with Georgia Educators

2 Table of Contents Letter to the Student Test-Taking Checklist Georgia Performance Standards Correlation Chart Georgia Performance Standards Chapter 1 Number and Operations Lesson 1 Divisibility Rules M5N1.c, M5P2.b Lesson 2 Factors and Multiples M5N1.b Lesson 3 Classify Whole Numbers M5N1.a, M5P4.a Lesson 4 Place Value of Whole Numbers and Decimals M5N2.a, M5N2.b Lesson 5 Compare Decimals M5N2.c Lesson 6 Multiply Decimals M5N3.a, M5N3.b, M5N3.c, M5N3.d Lesson 7 Divide Decimals M5N3.a, M5N3.b, M5N3.c, M5N3.d Lesson 8 Equivalent Fractions M5N4.a, M5N4.b, M5N4.c Lesson 9 Compare Fractions M5N4.e, M5N4.f Lesson 10 Add and Subtract Fractions and Mixed Numbers M5N4.e, M5N4.g, M5P1.b Lesson 11 Multiply Fractions M5N4.d, M5N4.i, M5P5.c Lesson 12 Divide Fractions M5N4.d, M5N4.i, M5P3.a Lesson 13 Convert Fractions and Decimals M5N4.a, M5N4.h Lesson 14 Percents M5N5.a Chapter 1 Review Chapter 2 Geometry Lesson 15 Congruent Figures Lesson 16 Circumference Chapter 2 Review M5G1, M5P3.b M5M2.a, M5M2.b, M5G2, M5P1.d Duplicating any part of this book is prohibited by law. 3

3 Chapter 3 Measurement Lesson 17 Capacity Lesson 18 Estimate Area of Polygons Lesson 19 Area of Parallelograms Lesson 20 Area of Triangles Lesson 21 Area of Polygons Lesson 22 Area of Circles Lesson 23 Introduction to Volume Lesson 24 Compute and Estimate Volume Chapter 3 Review Chapter 4 Algebra Lesson 25 Variables Lesson 26 Expressions and Formulas Chapter 4 Review Chapter 5 Data Analysis Lesson 27 Line Plots and Venn Diagrams Lesson 28 Pictographs, Bar Graphs, and Line Graphs Lesson 29 Circle Graphs Lesson 30 Choose the Best Graph Lesson 31 Mean, Median, Mode, and Range Chapter 5 Review M5M3.a, M5M3.b, M5M4.f, M5P4.c M5M1.a, M5P1.c M5M1.b, M5M1.d, M5P2.a, M5P2.c, M5P2.d M5M1.c, M5M1.d, M5P2.a, M5P2.c, M5P2.d M5M1.f M5M1.e, M5M1.g, M5M1.h, M5G2, M5P4.b M5M4.a, M5M4.b, M5M4.f, M5P1.a M5M4.c, M5M4.d, M5M4.e M5A1.a, M5P3.d M5A1.b, M5A1.c, M5P5.c M5D1.a, M5D2, M5P5.a M5D1.a, M5D2, M5P5.a M5N5.b, M5D1.a, M5D2, M5P5.a M5D1.b, M5D2, M5P3.c, M5P5.b M5D1.c, M5P1.b Glossary Pretest Posttest Duplicating any part of this book is prohibited by law.

4 6 Multiply Decimals M5N3.a, M5N3.b, M5N3.c, M5N3.d Getting the Idea When you multiply a decimal by a decimal, the product will have the same number of decimal places as the sum of the decimal places in the factors. EXAMPLE 1 What is ? STRATEGY STEP 1 Use a 10-by-10 grid to multiply. Draw a 10-by-10 grid and shade 0.7 of the columns of squares. STEP 2 Shade 0.4 of the rows of squares. The part that overlaps is the product. There are 28 out of 100 squares, or 0.28, in the overlap. SOLUTION Duplicating any part of this book is prohibited by law. 33

5 When multiplying with decimals, align the digits on the right. It is not necessary to align the digits on the decimal points. EXAMPLE 2 What is ? STRATEGY Multiply as with whole numbers. Multiply. Remember to place the decimal point in the product decimal place decimal place SOLUTION EXAMPLE 3 What is ? STRATEGY STEP 1 STEP 2 Multiply as you would with whole numbers. Place the decimal point in the product. Multiply Place the decimal point. There are 3 decimal places in the factors, so there are 3 decimal places in the product decimal places decimal place decimal places SOLUTION Duplicating any part of this book is prohibited by law.

6 Lesson 6: Multiply Decimals EXAMPLE 4 What is ? STRATEGY STEP 1 STEP 2 STEP 3 Multiply as you would with whole numbers. Place the decimal point in the product. Multiply the tenths Multiply the ones. Place a 0 in the ones place of the second partial product Add the partial products. Place the decimal point. There are 3 decimal places in the factors, so there are 3 decimal places in the product SOLUTION Duplicating any part of this book is prohibited by law. 35

7 Money amounts are written as decimals to the hundredths place. When solving a money problem that gives you a product in the thousandths, round the decimal to hundredths. EXAMPLE 5 Christina earned $47.50 over the weekend from babysitting jobs. She put 0.3 of her earnings into her savings account. How much did Christina put into savings? STRATEGY STEP 1 STEP 2 STEP 3 SOLUTION Multiply as you would with whole numbers. Place the decimal point in the product. Then round the product to hundredths. Multiply the tenths Place the decimal point in the product. There are 3 decimal places in the factors, so there are 3 decimal places in the product Round the product to hundredths. Place the dollar sign is the same as She saved $ Christina put $13.71 into savings. 36 Duplicating any part of this book is prohibited by law.

8 Lesson 6: Multiply Decimals CO ACHED EXAMPLE Mr. Starr s class is taking a field trip to a museum. Tickets cost $13.95 each. If Mr. Starr buys 27 tickets, what is the total cost of the tickets? THINKING IT THROUGH Write the problem in vertical for m. 27 Multiply the ones: Write the partial product under the problem abo ve. Write a in the ones place of the second partial product. Multiply the tens: Write the second partial product under the problem abo ve. Add the partial products: The product will have decimal places. Place the decimal point. The total cost of the tickets is. Duplicating any part of this book is prohibited by law. 37

9 Lesson 6: Multiply Decimals 7. Pablo went to Mexico City to visit relatives. He exchanged $82 for Mexican pesos. When he was there, $1 was worth Mexican pesos. How many pesos did Pablo receive? A B. 1, C. 1, D. 1, Tom worked 5.5 hours on Saturday. He earns $7.25 per hour. How much did he earn on Saturday? A. $39.88 B. $38.56 C. $36.75 D. $ Monica is 4.5 feet tall. Her mother is 1.2 times as tall as Monica. How tall is Monica s mother? A. 5.7 feet B. 5.4 feet C. 5.3 feet D feet 10. For a party, Mrs. Charles bought 12 pounds of hamburger meat for $2.89 per pound. How much did the hamburger meat cost? A. $34.58 B. $34.68 C. $35.68 D. $38.68 Duplicating any part of this book is prohibited by law. 39

10 Lesson Practice Choose the correct answer. 1. What is ? Use the grid to help you multiply. 3. In , how many decimal places are in the product? A. 2 B. 3 C. 4 D. 5 A B. 0.4 C D What multiplication problem is modeled on the grid below? 4. What is ? A B C D What is ? A B C D A B C D What is ? A B C. 3, D. 3, Duplicating any part of this book is prohibited by law.