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Engage NY Module 1

Engage NY Module 1. LESSON 7 Objective: Round a given decimal to any place using place value understanding and the vertical number line. FIND THE MIDPOINT (SPRINT). Review finding the halfway point between a few numbers then pass out the “sprint” exercises to the students. .

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Engage NY Module 1

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  1. Engage NY Module 1 LESSON 7 Objective: Round a given decimal to any place using place value understanding and the vertical number line.

  2. FIND THE MIDPOINT (SPRINT) • Review finding the halfway point between a few numbers then pass out the “sprint” exercises to the students.

  3. Compare decimal fractions • Compare these numbers using the greater than, less than, or equal sign. • 12.57 ____ 12.75 • 12.57 < 12.75 • 0.67 _____ • 0.67 = • _____ 0.084 • > 0.084 • 328.2 _____328.099 • 328.2 > 328.099 • 4.07 _____ forty-seven tenths • 4.07 < forty-seven tenths • Twenty-four and 9 thousandths ___ 3 tens • Twenty-four and 9 thousandths <3 tens

  4. Rename the units • 1.5 = ____ tenths • 1.5 = 15 tenths • 2.5 = ____ tenths • 2.5 = 25 tenths • 12.5 = ____ tenths • 12.5 = 125 tenths • 17.5 = ____ tenths • 17.5 = 175tenths • 27.5 = ____ tenths • 27.5 = 275 tenths • 24.5 = ____ tenths • 24.5 = 245 tenths • 24.3 = ____ tenths • 24.3 = 243 tenths • 42.3 = ____ tenths • 42.3 = 423tenths

  5. APPLICATION PROBLEM Craig, Randy, Charlie, and Sam ran a 5K race on Saturday. They were the top 4 finishers. Here are their race times: • Craig: 25.9 minutes • Randy: 32.2 minutes • Charlie: 32.28 minutes • Sam: 25.85 minutes Who won first ? Who won second ? Third? Fourth? Give a statement of solution for your answers.

  6. Concept development problem 1 Work with your neighbor to name 155 using as many hundreds as possible. Then name it using as many tens as possible, and then using as many ones as possible. Record your ideas in your place value chart. 1 hundred 5 tens 5 ones 15 tens 5 ones 155 ones Strategically decompose 155 using multiple units to round to the nearest ten and nearest hundred.

  7. Concept development problem 1 Which of these decompositions of 155 helps you round this number to the nearest 10? Talk with your table. 5 ones 1 hundred 5 tens 15 tens 5 ones 155 ones Record each of these numbers on your number line. Circle the figure that rounds 155 to the nearest 10. 16 tens = 160 15 tens + 5 ones = 155 15 tens = 150

  8. Concept development problem 1 5 ones 1 hundred 5 tens 15 tens 5 ones 155 ones Using your chart, which of these representations help you round 155 to the nearest 100? Label your number line with the nearest multiples and circle your rounded number. 2 hundreds = 200 155 1 hundred + 5 tens = 150 1 hundred = 100

  9. Concept development problem 2 Strategically decompose 1.57 to round to the nearest whole and nearest tenth. Use your place value chart to name 1.57 using as many ones, tenths, and hundredths as possible. Record your ideas on your place value chart. 7 hundredths 5 tenths 1 one 7 hundredths 15 tenths 157 hundredths 16 tenths = 1.60 Notice this problem shows the relationship between meters and centimeters as different units are being used to name the same quantity. That is 1.57 meters = 157 centimeters. 15 tenths + 7 hundredths = 1.57 15 tenths + 5 hundredths 15 tenths = 1.50

  10. Concept development problem 3 Strategically decompose to round 4.381 to the nearest ten, one, tenth, and hundredth. Use your place value chart and decompose 4.381 using as many tens, ones, tenths, and hundredths as possible. Record your work. 1 thousandth 8 hundredths 4 ones 3 tenths 1 thousandth 8 hundredths 43 tenths 1 thousandth 438 hundredths 4381 thousandths

  11. Concept development problem 3 Strategically decompose to round 4.381 to the nearest ten, one, tenth, and hundredth. 8 hundredths 1 thousandth 3 tenths 4 ones 1 thousandth 8 hundredths 43 tenths 438 hundredths 1 thousandth 4381 thousandths We want to round this number to the nearest 10 first. How many tens did you need to make this number? Between what two multiples of ten will we place this number on the number line? Draw your number line and circle your rounded number. Round 4.381 to the nearest one, tenth, and hundredth. Mark these on your number line. 1 ten = 10 5 ones = 5 4 ones + 381 4 ones = 4 0 tens = 0

  12. Concept development problem 4 Strategically decompose to round 9.975 to the nearest ten, one, tenth, and hundredth. Use your place value chart and decompose 9.975 using as many tens, ones, tenths, and hundredths as possible. Record your work. 5 thousandths 7 hundredths 0 tens 9 ones 9 tenths 5 thousandths 7 hundredths 99 tenths 5 thousandths 997 hundredths 9975 thousandths

  13. Concept development problem 4 Strategically decompose to round 9.975 to the nearest ten, one, tenth, and hundredth. 5 thousandths 7 hundredths 0 tens 9 ones 9 tenths 5 thousandths 7 hundredths 99 tenths 5 thousandths 997 hundredths 9975 thousandths hundredths tenths tens ones 10 ones = 10 100 tenths = 10 1 ten = 10 998 hundredths 9.975 9.975 9.975 9.5 9.5 9.95 9.975 9 ones = 9 99 tenths = 9.9 0 tens 997 hundredths

  14. Concept development problem 4 Repeat the sequence to strategically decompose to round 99.799 to the nearest ten, one, tenth, and hundredth. hundredths tenths tens ones

  15. Problem Set, Debriefing, Exit Ticket, and Homework • Complete Problem Set in small groups. • Check answers and discuss difficulties. • Handout Exit Ticket and independently. • Handout Homework.

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