Problem Solving Workshop Strategy: Use Logical Reasoning

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Problem Solving Workshop Strategy: Use Logical Reasoning. Problem Solving Strategy Practice. Use logical reasoning to solve. 1. The stadium store sells team  ...
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Lesson 1.6

Problem Solving Workshop Strategy: Use Logical Reasoning Problem Solving Strategy Practice Use logical reasoning to solve. 1. The stadium store sells team shirts on

2. Anton, Rachel, and Lamont each like

Friday, Saturday, and Sunday. The numbers of shirts sold for three days were 473, 618, and 556. The least number of shirts were sold on a Friday. More than 600 shirts were sold on Saturday. How many shirts were sold on Sunday?

different teams. The teams are the Rugby Ghosts, the Yellow Bees, and the Tan Cougars. Anton’s favorite team does not have a color in its name. Lamont does not like the Tan Cougars. Which team does Rachel like?

Mixed Strategy Practice 3. Beth, Paulo, Lee, Maya, and Rob are

standing in line to get into the movies. Beth is in front of Maya. Maya is not last in line. Rob is first. Lee is after Maya. Paulo is not last. In what order are they standing in line? Make a model in the box at the right to solve.

USE DATA For 4–5, use the information shown in the art. 4. Claire buys two items. She spends less

PW6

$3

$5

hockey stick. He already has $8 in his savings. If he saves and adds $22 each week to his savings, how many weeks will it take to save $72?

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5. Alex plans to save money to buy the

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$7

9

$7 2

than $100 total. Which two items does Claire buy?

Practice © Harcourt • Grade 4

MXENL08AWK4X_PHTE_C01_L6.indd PW6

7/2/07 10:23:18 AM

Lesson 1.5

Write the numbers in order from greatest to least. 2. 2,917,033; 2,891,022; 2,805,567

Problem Solving Strategy Practice

74,421; 58,925; 57,034 2,917,033; 2,891,022; 2,805,567 4. 25,327,077; 25,998; 2,532,707

Use logical reasoning to solve. 1. The stadium store sells team shirts on

$419,531; $417,011; $409,351 25,327,077; 2,532,707; 25,988 6. $309,423; $305,125; $309,761

$309,761; $309,423; $305,125

7. 4,358,190; 4,349,778; 897,455

8. 5,090,115; 50,009,115; 509,155

50,009,115; 5,090,115; 509,155

4,358,190; 4,349,778; 897,455

ALGEBRA Write all of the digits that can replace each 䊏. 9. 389 ⬍ 3䊏7 ⬍ 399

3. Beth, Paulo, Lee, Maya, and Rob are

7, 8

standing in line to get into the movies. Beth is in front of Maya. Maya is not last in line. Rob is first. Lee is after Maya. Paulo is not last. In what order are they standing in line? Make a model in the box at the right to solve.

Problem Solving and Test Prep USE DATA For 11–12, use the table. 11. Which lake has the smallest area?

Largest Lakes Lake

12. Write the names of the lakes in order

Rob, Paulo, Beth, Maya, Lee

Area (in square miles)

from least area to the greatest area.

Victoria

26,828

Lake Huron, Lake Victoria, Lake Superior, The Caspian Sea

Huron

23,000

Superior

31,700

Caspian Sea

143,244

USE DATA For 4–5, use the information shown in the art. 4. Claire buys two items. She spends less

than $100 total. Which two items does Claire buy? 2

Lake Huron

the Tan Cougars

Mixed Strategy Practice

10. 5,601 ⬍ 5,䊏01 ⬍ 5,901

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556 shirts

from greatest to least?

B

A 92,944; 92,299; 92,449

159,872; 159,728; 159,287 C 731,422; 731,242; 731,244 D 487,096; 487,609; 487,960 B

$179,384, $264,635, $228,775, and $281,413. Which amount is the greatest?

$281,413 Circled problems are suggested homework problems. PW5

Practice

$7

14. Automobile sales for four weeks are

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baseball glove and soccer ball 13. Which shows the numbers in order

5. Alex plans to save money to buy the

hockey stick. He already has $8 in his savings. If he saves and adds $22 each week to his savings, how many weeks will it take to save $72?

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621,045, 066; 6,021,456; 621,456

different teams. The teams are the Rugby Ghosts, the Yellow Bees, and the Tan Cougars. Anton’s favorite team does not have a color in its name. Lamont does not like the Tan Cougars. Which team does Rachel like?

$3

5. 621,456; 621,045,066; 6,021,456

2. Anton, Rachel, and Lamont each like

Friday, Saturday, and Sunday. The numbers of shirts sold for three days were 473, 618, and 556. The least number of shirts were sold on a Friday. More than 600 shirts were sold on Saturday. How many shirts were sold on Sunday?

$7

3. $409,351; $419,531; $417,011

Lesson 1.6

4

1. 74,421; 57,034; 58,925

Name

Problem Solving Workshop Strategy: Use Logical Reasoning

$5

Name

Order Whole Numbers

3 weeks Circled problems are suggested homework problems. PW6

Practice

© Harcourt • Grade 4

© Harcourt • Grade 4

MXENL08AWK4X_PHTE_C01_L6.indd PW6

Lesson 1.5 Item

7/2/07 10:23:18 AM

Lesson 1.6

Suggested rationale

Item

Suggested rationale

2

ordering millions, equal numbers of digits

2

problem Solving: logical reasoning

3

ordering hundred thousands, equal number of digits

3

problem solving; make a model

7

ordering numbers with unequal numbers of digits

4

problem solving: guess and check

14

word problem; comparing dollar amounts in the hundred thousands

PW5-PW6 © Harcourt · Grade 4

MXENL08AWK4X_PHTE_Rat.indd PW5-PW6

7/2/07 11:58:07 AM