problem solving in all seasons · twelve people are going on a camping trip. they are taking the...

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Problem Solving in All Seasons Prekindergarten–Grade 2 Chapter 4: Summer Summer Flowers ................................ p. 2 Sand Castles ................................... p. 7 Sidewalk Chalk Shapes ......................... p. 9 A Weekend Camping Trip ....................... p. 10 July 4th Celebration ............................ p. 13 Baseball Ticket Sales ........................... p. 14 Swimming at Swan Lake ......................... p. 15 Lemonade Stand ................................ p. 20

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Page 1: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Prekindergarten–Grade 2

Chapter 4: Summer

Summer Flowers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . p. 2Sand Castles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . p. 7Sidewalk Chalk Shapes . . . . . . . . . . . . . . . . . . . . . . . . . p. 9A Weekend Camping Trip . . . . . . . . . . . . . . . . . . . . . . . p. 10July 4th Celebration . . . . . . . . . . . . . . . . . . . . . . . . . . . . p. 13Baseball Ticket Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . p. 14Swimming at Swan Lake . . . . . . . . . . . . . . . . . . . . . . . . . p. 15Lemonade Stand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . p. 20

Page 2: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

2

Name Date

Children in Mrs. Shanklin’s room went on a walk. They picked many flowers to place in baskets. Will you help them sort the flowers into 2 baskets so the flowers in each basket are the same in some way?

Summer Flowers

Page 3: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

3

Name Date

Summer Flowers

Page 4: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

4

Name Date

Summer Flowers

Page 5: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

5

Summer Flowers

Page 6: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

6

Summer Flowers

Page 7: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

7

Name Date

Mazie and her family went to the beach for summer vacation. When a large wave crashed into the shore, her sand castle was washed away. The next day, Mazie decided to build a new sand castle. Use the footprints of Mazie’s sand toys to help her create a new sand castle.

Sand Castles

Page 8: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

8

Sand Castles

NOTE: These footprints are just examples of possible shapes and may not be the size of the bases of the three-dimensional shapes you have available in your classroom.

Page 9: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

9

Name Date

One morning Mr. Allen’s students drew 10 different shapes on the sidewalk using chalk. Before they could share their shapes, a rain shower washed away some of the chalk. Mr. Allen took a picture of the ruined shapes. Using the pictures, can you help the students remember what their shapes looked like before the rain?

Sidewalk Chalk Shapes

Page 10: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

10

Name Date

Twelve people are going on a camping trip. They are taking the following types of tents:

• 6 two-person tents

• 4 three-person tents

• 2 six-person tents

Show how you could arrange the 12 campers in tents so everyone has a place to sleep. Make a drawing or write an equation to show your thinking.

A Weekend Camping Trip

Page 11: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

11

This tent holds 2 people. This tent holds 2 people. This tent holds 2 people.

This tent holds 2 people. This tent holds 2 people. This tent holds 2 people.

This tent holds 3 people. This tent holds 3 people. This tent holds 3 people.

A Weekend Camping Trip

Page 12: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

12

This tent holds 3 people. This tent holds 6 people. This tent holds 6 people.

A Weekend Camping Trip

Page 13: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

13

Name Date

To celebrate Independence Day, Kelsey and Carter went to different parades with their families. Kelsey’s parade started and ended at the times below.

Start End

Carter’s parade started at 11:00 a.m. He forgot to look at his watch when the parade ended. If Carter’s parade was longer than Kelsey’s, what time could his parade have ended?

Start End

July 4th Celebration

Page 14: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

14

Name Date

The Lancer Baseball Stadium needs repairs, and the seats will be replaced one section at a time, starting with the section that has the most ticket sales. The number of tickets sold for the four sections are 39, 40, 50, and 53. Use the clues below to help the team figure out how many tickets are sold in each section of the stadium.

Clue 1: The fewest number of tickets was sold in Section D.

Clue 2: The number of tickets sold in Section C has a zero in the ones place.

Clue 3: There were more tickets sold in Section A than in Section C.

Clue 4: The difference between the combined ticket sales in Sections A and B and Sections C and D is 4 tickets.

Section A Section B Section C Section D

Sections A and B combined Sections C and D combined

Baseball Ticket Sales

Page 15: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

15

Name Date

Campers at Swan Lake receive beach towels to use for the day.

• Campers who stay in Campsite A receive towels that have color on exactly half of the towel.

• Campers in Campsite B receive towels that have color on exactly a fourth of the towel.

• Campers in Campsite C receive towels that do not have color on a half or a fourth of the towel.

At the end of each day, Swan Lake staff members must sort the towels. Can you help sort the towels?

Swimming at Swan Lake

Page 16: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

16

Swimming at Swan Lake

Page 17: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

17

Swimming at Swan Lake

Page 18: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

18

Swimming at Swan Lake

Page 19: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

19

Swimming at Swan Lake

Page 20: Problem Solving in All Seasons · Twelve people are going on a camping trip. They are taking the following types of tents: • 6 two-person tents • 4 three-person tents • 2 six-person

Problem Solving in All Seasons

Copyright © 2015 by the National Council of Teachers of Mathematics, Inc., www.nctm.org. All rights reserved. This material may be used for classroom and personal use only.

20

Name Date

On a hot summer day, Rakeem is running a lemonade stand in his neighborhood to raise money for the local animal shelter. He is selling lemonade for 50¢ a cup, brownies for 25¢, and cookies for 10¢ each. One customer has $1.50 and wants to spend it all. Find at least three different ways that this customer could spend all of her money. Write equations to represent your combinations and explain your reasoning.

Lemonade Stand