MATH CHAPTER 15

4th GRADE

Area

rectangle height square perimeter

1. The ______is the distance around a shape.

2. A shape that has 4 right angles and

4 equal sides is called a ______.

3. A shape that had 4 right angles and

2 pairs of parallel sides is called a ______.

Find Each Product.

6 x 5 7 x 9 8 x 8 7 x 4

3 x 6 5 x 4 8 x 5 4 x 9

9 x 6 8 x 4 3 x 9 8 x 7

Identify Each 2D Shape

Identify Each 2D Shape

AREA is the number of square units

needed to cover a region.

Count the square units inside the shape to get the exact area of the shape.

Sometimes you can estimate

the area.

If you make a guess, say that it is an estimate. It is about ______ squares.

Tell if the area is exact or an estimate.

Aubry bought 4 notebooks, 2 boxes of markers and 3 glue sticks. How much money did he spend on his supplies.

$2.98

$1.87

$.55

$2.46

What would be a good estimate of area outside of the green shaded area?

A bookstore is having a sale. When customers buy 3 books they get one

book free. If Doug buys 12 books, how many books will he get free?

What is a good estimate for the area of the go cart park?

= 1 sq mile

Dirk bought a poster for his room. What is the area of the poster?

3 feet

4 feet

Standard Units of Length and Area

UNIT SQUARE UNIT

inch (in.) ’’ square inch

foot (ft) ’ square foot

yard (yd) square yard

mile (mi) square mile

centimeter (cm) square centimeter

meter (m) square meter

kilometer (km) square kilometer

Jim has painted a mural on

his wall that measures

8 ft by 12 ft.

What is the area of his mural?

Josephine’s family has started a vegetable garden. What is the

area of their garden?

Judy wants to surprise her mother by creating a flowered tablecloth. What is the area of

the tablecloth?

Ida bought 0.6 pound of

green beans and 0.43 pound

of grapes. Did she buy more

beans or grapes?

How much more?

Keri wants to make curtains

for her bedroom. Two windows

are 6 ft by 5 ft. The

curtain material must be

doubled to make the curtains.

How many yards of material

are needed?

( hint: 3 ft = 1 yd )

Richard is helping his mom paint

their living room. The room

is 12 ft by 14 ft.

The ceilings are 8 ft tall.

A gallon of paint covers 300 sq ft.

How many gallons of paint will

be needed?

Mitch wants to paint an area on

the blacktop for basketball

practice. The court is 23 yards

by 40 yards. What is the area of

the court?

Janet wants to cover a bulletin

board with poetry. The board

is 7 ft by 9 ft. How much area

does Janet have for her poetry

display?

Ethan’s garden is 4 ft wide and

has a total area of 32 sq feet.

What is the length of his

garden?

Lakeisha wants to make a quilt for her

Grandmother’s bed.

The quilt needs to have an area

of 56 square feet. If she makes

one side 8 feet long, how long

will the other side be?

This picture of Van Gogh is

4 ft by 8 ft. What area will it

take up on the wall?

Lanier wants to tile a table

as a gift for his mother.

The table will be 4 feet

by 3 feet.

If he uses 2 inch square tiles,

how many tiles will he need?

Reuben drew a polygon with 4

sides. The polygon has 1 set

of parallel sides. What type of

polygon did Reuben draw?

Malcolm is helping tile the kitchen

floor. The kitchen is 16 feet

long and 8 feet wide. The tile

costs $7 per square foot.

How much will it cost to tile

Malcolm’s kitchen?

Melinda ordered doughnuts for

the bake sale. She ordered

9 dozen boxes. She sold all of

the doughnuts except 5.

If she sold each doughnut for

$.50 how much money did

the school make?

Iesha wants to tile

the backsplash

in the kitchen.

The grid shows the

part that needs

tiles. What is the area

of the backsplash?

= 4 sq inch

Phoebe glued square tiles on

the border around the picture

frame. What part of the frame

did she decorate? = 1 sq in

Looking for a shortcut?

Find the area of the whole shape.

Find the area of the small shape.

Subtract.

GARDEN PATIO

Raymond needs to finish tiling the

bottom of the swimming pool.

What area of the pool still needs

to be tiled?

Monica drew two designs.

How much greater is the area

of the yellow figure than the

area of the green figure?

Lisa built these figures out of craft

sticks. If she continues the pattern,

how many craft sticks will she

use for the 5th figure?

1 2 3

Tressa is digging a garden

in her backyard. What is the total

area of corn and tomatoes?

CORN

CARROTS

BEANS

TOMATOES

How can you find the area of an irregular figure?

7 feet5 feet

6 feet

Count the whole units then combine partial units and add.

Count - combine - add.

Count – combine – add.

Can you find the area?

Measure and find the area of each.

Zoe bought 75 feet of sod

to repair the miniature golf

course where she works.

Will she have any sod left over?

Wayne wants to

design a sand trap

that is 360 square

yards. If one side

is 12 yards long,

what is the other

side?

Dustin drew figures on grid

paper. What is the area of each picture?

Mrs. B drew the figure. How could you divide the figure to find the total area?

Russell drew the figures. How could you divide the figure to find the total area?

What is the approximate area?

Write the algebraic expression to show: six times a number is 24

___________________

Write the algebraic expression to show: 3 times a number is 90 + 3

____________________

What fraction is turquoise blue?

It took 13 months to

build the world’s

largest boot. It is 16

feet tall and weighs

2,300 pounds.

How many days did

it take to build the

boot?

Different area – Same perimeter

Draw different rectangles with

perimeters listed. Tell the dimensions and

area of each.

16 20

24 40

You have 48 counters.

You are creating groups with the

Rule: +2

The first group has 3 counters.

How many groups do you need to

make to use up all 48 counters?

Alyssa made the same number

of goals in each of 4 soccer

games. If she made a total of

24 goals, how many did she

make each game?

Jerry drew a rectangle with a

perimeter of 20 inches.

The smaller side measured 3

inches. Tanya said the longer

side had to be 7 inches.

Is she correct?

Which statement is true?

They both have the same height?

They both have the same base?

They both have the same area?

They both have the same perimeter?

2

3

1

4

Same Area Different Perimeter

You must solve the castle puzzle.

You have 16 castle tiles to make a

rectangular castle and 16 water tiles

to make a moat. How can you

completely surround the castle

with water?

Mr. Smyth is using 64 carpet tiles

to make a reading area in his

classroom. Each tile is a square

that measures 1 foot by 1 foot.

What is the length and width

of the rectangular area he can

make with the smallest possible

perimeter?

The length of the base of each side of

the Great Pyramid of Khufu is about

756 feet. If the Great Pyramid of Khufu

is a square pyramid, what is the

distance around the base of the pyramid?

East School and North School

cover the same area. In physical

education classes, each student

runs one lap around the school.

At which school do the students

have to run farther?

The perimeter of rectangle

P is 12 feet.

The perimeter of rectangle

Q is 18 feet.

Both rectangles have the same

area. Find the area of each

rectangle.

Which shapes cannot be

congruent to a rectangle?

Talaya bought 2 sweaters for

$18 each and mittens for $11.

ABOUT how much money will

she get back in change if she

pays with 3 twenty-dollar bills?

Measurement ToolsWhich tool should you use to measure

a basketball court?

An insect?

A notebook?

A postage stamp?

A bedroom wall?

A large lake?

Which Measurement Tool Should You Use?

inch ruler centimeter ruler

yardstick meter stick

GARAGE DOOR CALCULATOR

SOCCER FIELD PENCIL

Trey is thinking of two

whole numbers. The product of

the two numbers is 28.

Their difference is 3. What are

the numbers?

Rosanne has 3 hats, 4 scarves,

and 2 pairs of gloves. How

many different choices of 1 hat,

with 1 scarf, and 1 pair

of gloves does she have?

There are 250 horses entered

in a show. All but 95 are jumpers. How many jumpers

are entered in the show?

Kurt displayed 8 paintings

in each of 4 rows. Which

equation could NOT be used

to find how many paintings he

displayed in all?

4 x 8 = p 8 p = 4

8 + 8 + 8 + 8 = p p 4 = 8