Please respect copyright laws. Original purchaser has permission to
duplicate this file for teachers and students in only one classroom.
ü
CCSS
Grade 3
Same Area,
Different Perimeter
By Angie Seltzer
Area
1
2
18
square units
18
9
3
MULTI
A= ? s
q. units
6
A = ? sq. units
q. units
A= ? s
CCSS 3.MD.8
Set 3-M43
MATCH
CCSS 3.MD.8 Solve real
world and mathematical
problems involving
perimeters of polygons,
including finding the
perimeter given the side
lengths, finding an unknown
side length, and exhibiting
rectangles with the same
perimeter and different
areas or with the same area
and different perimeters.
Goal 3-M43 Compare
perimeters of two rectangles
with the same area.
Includes
• Set of 36 math cards, as 4 suits with 9 cards per suit
• Card-matching activity
• Recording sheet with
answer key
• Brief instructions for four
games (For more instructions,
see the Multi-Match Games
Guide.)
Related Resources
Grade 3 Resource Bundles
Basic Facts Card Bundles
FREE CCSS Poster
Goal Checklists
Contents
Matching Activity
Multi-Match Cards (Reproducible)
Title, Wilds, & Game Instruction Cards
Recording Sheet & Answer Key
Folding Card Storage Pocket
3-6
7
8-11
12
About This Card Set
This set is one of many Multi-Match sets developed by
Angie Seltzer for grades K-8. Sets consist of 9 groups
of four cards that have matching values and/or models.
Any two of the four cards in a group can be considered “a
match.” Thus, there are multiple ways to match cards.
1
2
Area
3
18
6
18
9
square units
. units
A = ? sq
A = ? sq
. units
A = ? sq. units
Mathematics Content
• The “star” cards show areas that can be represented as
rectangles in several ways, with factors up to 20.
• Each star card can be matched to cards in the three
other suits (squares, triangles, and circles). These cards
have “A =” with a question mark in a box, to indicate
that the shaded rectangle stands for a measure of area.
Perimeter is a focus of the recording sheets. Students will
see that two rectangles with the same area but different
dimensions will have different perimeters.
This set also provides excellent practice with factors and
multiples, important for future work in mathematics.
Setup Shuffle the card set. The Wild cards are not needed.
Make copies of the recording sheet for each student.
Instructions Have students separate the star cards from
the other cards. Tell students to organize them in a row, in
order, face up. Then have students sort the rest of the cards
and match them with star cards. Remind students that each
star card will have a matching card from each suit.
Have students complete recording sheets. Encourage them
to copy the figures from the cards. You may also want to
have students sort each group of four cards by perimeter.
Variations To make the activity easier, use only four to six
groups of four matching cards. Or, you many want to use
only two of the four suits.
Extension Have students draw a rectangle on grid paper
and another one twice as long and twice as wide. Find the
area and perimeter of each rectangle. Ask student to decide
if the area and perimeter are also twice as much.
Using Multi-Match Games
These cards are designed to be used with any of the easy
games in the free Multi-Match Games Guide. For brief game
instructions, see page 7.
As students use the cards
during games, they will
improve their mental math
and modeling skills. These
skills are critical in meeting the
Standards for Mathematical
Practice. This card set will
also help students make
generalizations such as the
ones in the box below.
Meaning of Set Code 3-M43
The code stands for Grade 3, Measurement and Data,
Cluster 4, Goal 3. The set code matches the goal number
in the student-friendly checklists at www.mathpaths.com.
General Preparation
Copy the card pages onto heavy paper, making one copy
for each group of students or for a math center. (Plain
paper can also be used but cards will be less durable.)
Cut apart the cards. Print page 12 using copy paper and
fold the page to make a storage pocket. Tack the storage
pocket to a bulletin board. Or, store the cards in a small
bag or envelope with the title card taped to the front.
Making Generalizations
As students use the cards, encourage them to look for and
discuss patterns and generalizations.
• When you compare two rectangles with the same area,
the longer, skinnier one has a greater perimeter.
• Doubling one dimension (either length or width) causes
the area to double.
• If
you change a rectangle by doubling one dimension and
taking half of the other dimension, the area will stay the
same.
Multi-Match Cards 3M: Same Area, Different Perimeter (Published 03/08/2014, Updated 08/24/2015)
Copyright © Seltzer Productions, LLC, 549 Acorn Drive, Dayton, Ohio 45419. Written and illustrated by Angie Seltzer. All Rights Reserved. The original purchaser
has permission to print and copy pages of this document for use in only one classroom. Further distribution of any portion of the printed or electronic document or
electronic posting of the file on any storage or retrieval system is prohibited without written permission from the publisher. If you would like to share this file, please
purchase an additional copy for each recipient. If you’re using this product and did not purchase it, then please visit www.mathpaths.com for links to the author’s online
stores and then purchase your own copy. Thank you for respecting the hard work of this author. Find out about related products at www.mathpaths.com.
Multi-Match “Star” Cards
Set 3-M43
Area
Area
Area
square units
square units
square units
Area
Area
Area
square units
square units
square units
Area
Area
Area
square units
square units
square units
12
20
36
16
24
40
18
30
60
Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Set
Set 3-M43
3-M43
Multi-Match “Square” Cards
2
2
2
6
8
A = ? sq. units
2
9
A = ? sq. units
3
3
10
A = ? sq. units
10
8
A = ? sq. units
A = ? sq. units
A = ? sq. units
4
4
4
9
A = ? sq. units
10
A = ? sq. units
15
A = ? sq. units
Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Multi-Match “Circle” Cards
3
Set 3-M43
3
4
4
4
A = ? sq. units
4
6
A = ? sq. units
A = ? sq. units
4
5
6
5
A = ? sq. units
A = ? sq. units
6
A = ? sq. units
A = ? sq. units
6
5
6
6
8
A = ? sq. units
10
A = ? sq. units
Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Set
Set 3-M43
3-M43
Multi-Match “Triangle” Cards
1
1
12
16
A = ? sq. units
1
18
A = ? sq. units
A = ? sq. units
12
A = ? sq. units
2
3
12
A = ? sq. units
A = ? sq. units
2
2
20
1
15
A = ? sq. units
3
20
A = ? sq. units
20
A = ? sq. units
Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Title, Wilds, & Game Instruction Cards
Set 3-M43
CCSS 3.MD.8
Same Area,
Different
Perimeter
MULTI
By Angie Seltzer
www.mathpaths.com
MATCH
Pairs Challenge
Players: 1
Time: 5-10 minutes
Time: 10- 20 minutes
Object: Earn the most points from
matches.
Object: Pick up all of the cards.
Setup: Deal six cards to each player.
(Wild cards are not needed.)
Instructions: Players look at their
cards to see if there are any matching
cards. Each matching pair is worth 1
point. A set of three matching cards is
worth 3 points. The player with the most
points wins. (Some games will end as a
tie.) Repeat the game several times.
By Angie Seltzer, www.mathpaths.com
Setup: Deal nine piles of cards, face up,
four per pile. (Omit Wild cards.)
Instructions: The player looks at the
nine piles, picks up two cards that match,
and stacks them to the side. The player
continues to look for and pick up pairs.
When there are no visible matching pairs,
the game is over. If the player clears all
cards without getting stuck, the player
wins! Then he or she can make a wish!
By Angie Seltzer, www.mathpaths.com
Crazy Match
Instructions: Each player, in turn, turns
up two cards, states the value of each card,
and decides if the cards match. If the cards
match, the player picks up and saves the
two cards and the turn ends. If they do not
match, the player turns the cards back over.
The next player then takes a turn. Play
goes on until all cards are picked up. The
player with the most pairs wins.
This game is similar to Crazy 8s or UNO.
Players: 2-4 (Use a double set if there are
3-4 players.) Time: 15-30 minutes
Object: Be the first to run out of cards.
Setup: Deal 7 cards per player. Turn up a card
for the Discard pile. Place the rest in a Draw pile.
Instructions: Players take turns matching
a card from their hand to the top card on the
Discard pile. They can match the number, suit,
or play a Wild card. If a player has no card to
play, he or she must draw two cards from the
Draw pile and the turn ends. When a player
plays a Wild card, the player must name a suit
for the next player to match. Play goes on until
a player runs out of cards. That player wins.
By Angie Seltzer, www.mathpaths.com
By Angie Seltzer, www.mathpaths.com
Players: 2-4 Time: 15-30 minutes
Object: Match the most pairs of cards.
Setup: Place the set of cards (except
Wilds) face down in a 6-by-6 array.
Wild
Make a Wish
Players: 2-6
Concentration Game
Wild
Set 3-M43
Wild
Wild
Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Name_____________________________Date___________ Instructions: Shade and label 3 rectangles with the given area. Find each perimeter.
Sample: A = 18 sq. units
1
A = 12 sq. units
Set
SetF.R1.7
3-M43
A = 16 sq. units
3
6
2
18
9
P = 1 + 18 + 1 + 18 = 38 units
P = 3 + 6 + 3 + 6 = 18 units
P = 2 + 9 + 2 + 9 = 22 units
P = P = P = P = P = P = A = 20 sq. units
A = 24 sq. units
P = P = P = P = P = P = Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Name_____________________________Date___________ Instructions: Shade and label 3 rectangles with the given area. Find each perimeter.
Set
SetF.R1.7
3-M43
A = 30 sq. units
A = 36 sq. units
P = P = P = P = P = P = A = 40 sq. units
A = sq. 60 units
P = P = P = P = P = P = Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Set
SetF.R1.7
3-M43
ANSWER KEY
Instructions: Shade and label 3 rectangles with the given area. Find each perimeter.
Sample: A = 18 sq. units
1
A = 16 sq. units
A = 12 sq. units
3
3
4
6
4
1
2
18
4
1
2
16
6
12
9
2
8
P = 1 + 18 + 1 + 18 = 38 units P = 1 + 12 + 1 + 12 = 26 units P = 1 + 16 + 1 + 16 = 34 units
P = 3 + 6 + 3 + 6 = 18 units P = 3 + 4 + 3 + 4 = 14 units
P = 4 + 4 + 4 + 4 = 16 units
P = 2 + 9 + 2 + 9 = 22 units P = 2 + 6 + 2 + 6 = 16 units
P = 2 + 8 + 2 + 8 = 20 units
A = 20 sq. units
1
A = 24 sq. units
4
4
5
20
2
2
3
10
P = 1 + 20 + 1 + 20 = 42 units
P = 2 + 10 + 2 + 10 = 24 units P = 4 + 5 + 4 + 5 = 18 units 10
6
12
8
P = 2 + 12 + 2 + 12 = 28 units
P = 3 + 8 + 3 + 8 = 22 units P = 4 + 6 + 4 + 6 = 20 units Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
Set
SetF.R1.7
3-M43
ANSWER KEY Instructions: Shade and label 3 rectangles with the given area. Find each perimeter.
A = 30 sq. units
A = 36 sq. units
5
6
6
2
6
3
3
4
15
12
10
9
P = 2 + 15 + 2 + 15 = 34 units
P = 3 + 10 + 3 + 10 = 26 units P = 5 + 6 + 5 + 6 = 22 units P = 3 + 12 + 3 + 12 = 30 units
P = 6 + 6 + 6 + 6 = 24 units P = 4 + 9 + 4 + 9 = 26 units A = 40 sq. units
A = sq. 60 units
3
5
2
4
8
20
4
6
20
15
10
P = 2 + 20 + 2 + 20 = 44 units
P = 5 + 8 + 5 + 8 = 26 units P = 4 + 10 + 4 + 10 = 28 units 10
P = 3 + 20 + 3 + 20 = 46 units
P = 4 + 15 + 4 + 15 = 38 units P = 6 + 10 + 6 + 10 = 32 units Copyright © Seltzer Productions, LLC. Written and illustrated by Angie Seltzer. All Rights Reserved.
Original purchaser has permission to print copies for use in only one classroom. See www.mathpaths.com.
11
Folding Card Storage Pocket
Instructions
1. U
sing entire page, make
mountain folds along all three
horizontal dotted lines. Turn
folded page to look like this.
Set 3-M43
CCSS 3.MD.8
Card Pocket
Ë
Ë
Ë
MULTI
MATCH
Back Side of Pocket
Card Pocket
Ë
By Angie Seltzer www.mathpaths.com
Ë
3. To display on bulletin board,
place tacks at black dots.
Place card set into pocket.
MATCH
Same Area,
Different
Perimeter
Ë
2. F
old back the side flaps
along the dashed lines.
On the back side, tuck one
folded flap inside the other.
Finished Pocket
Card Pocket
Copyright © Seltzer Productions, LLC.
Written and illustrated by Angie Seltzer.
All Rights Reserved.
See www.mathpaths.com.
Title
MULTI
MULTI
Title
MATCH
Ë
Ë
Ë