Math Quest:Into GeometryGrades 4-6

By

Alex Macdonald

Concepts to Cover

• Geometric Shapes

• Perimeter & Area of Geometric Shapes

• Circumference & Area of a Circle

• Computation Skills– Addition– Subtraction– Multiplication

Perimeter

• The perimeter of a shape is the distance around the item.

• Think about building a fence to enclose the shape.

• Add all the sides to find the perimeter.

9+12+9+12= 42

9

1212

9

Block of Wax• The block of wax below has a length of 24 inches and a

width of 14 inches. What is the perimeter of the wax?

.

Mobile Mini

• We use a mobile mini to store extra items at our school. The length of the container is 24 feet and the height is 7 feet.

• What is the perimeter of this side of the mobile mini?

Library Door

• The door to the Media Center is 81 inches tall and 36 inches wide.

• How much metal edging (in inches) was needed to surround the door?

• Challenge--Can you convert the inches to feet and inches?

Present and a Card

• The business card is 2 inches wide and 3.5 inches long.

• The present is 8 inches long and 6 inches wide.

• Find the perimeter of each shape.

Picture Frames• The top picture frame is 18 inches long and 9

inches wide.• Each of the bottom frames is 11 inches tall and 9

inches wide.How much more wood will it take to make the bottom three frames than the top frame?

Hint- frames use perimeters

How far around are these items?

• We need to buy edging to go around each shape.

• The pillow is a square. Each side is 16 inches across.

• The chest is 2 feet wide and 3.5 feet long.

• Find the perimeter of each shape to tell us how much edging we need for each item.

Area of a Rectangle

• The area formula for a rectangle is…

Base x Height (BxH) or

Length x Width (LxW)

LENGTH OR BASE

WIDTH or HEIGHT

Block of Wax• The block of wax below has a length of 24 inches and a

width of 14 inches. What is the area of the wax?

Mobile Mini

• We use a mobile mini to store extra items at our school. The length of the container is 24 feet and the height is 7 feet.

• What is the area of this side of the mobile mini?

Present and a Business Card

• The business card is 2 inches wide and 3.5 inches wide.

• The present is 8 inches long and 6 inches wide.

• How much smaller is the card than the present?

Pillow and a Chest

• The pillow is a square. Each side is 16 inches across.

• The chest is 2 feet wide and 3.5 feet long.

• How much larger is the area of the top of the chest than the pillow?

• Hint- convert to inches before starting…

Purple Pillow vs. Wax

• The purple pillow is 2 inches longer on each end than the block of wax.

• It is also 1.5 inches wider on each side than the block of wax.

• Find the area of the pillow using the information you solved already for the block of wax.

Circumference

• The circumference is formula to find the distance around a circle.

C= pi x diameter

Or

C= pi x 2(radius)

Circumference of 2 Circles

• The smaller circle has a diameter of 9 inches.

• The larger circle has a diameter of 14 inches.

• Find the circumference of each circle.

Stool Top

• The stool top is about 11 inches across.

• The teacher wants to put a decorative skirting around the top to make it nicer.

• How much material will she need to skirt the stool?

• Solve for circumference.

Speaker Portal

• The inner speaker is 4 inches across.

• The outer frame is 6 inches across.

• How much larger is the circumference of the outer circle than the inner circle?

Area of a Circle

• The Area formula for a circle is…

• Pi x radius squared• (3.14 x R2)

Manhole Cover

• This manhole cover is approximately 26 inches across.

• What is the circumference of the cover?

• What is the area of the cover?

Sunflowers

• The green inner portion is 3 inches across. The orange surrounding section is 5.5 inches across.

• How much larger is the area of the orange section than the green section?

Challenge Problems

• The following problems are rather difficult.

• They require to use both area formulas from circles, squares, and rectangles.

• Good luck… Look back to your formulas if needed to solve.

Another Speaker

• The larger is square is 14 inches on each side.

• The smaller speaker portion is 2 inches smaller on each side.

• How much smaller is the inner portion of the shape?

Power Boxes

• The larger box has each side at 15 inches.

• The smaller box has each side at 8 inches.

• How much more area does the larger box have?

T.P. vs. A Lid

• The toilet paper roll is 5 inches across. The lid below is 7 inches across.

• How much smaller is the circumference of the toilet paper roll than the plastic lid?

Speaker and the Box

• The speaker is placed in a box for protection from the weather.

• The box measures 11 inches on each side.

• The speaker has a radius of 3 inches.

• How much larger is the area of the box than the speaker?

Circles

• The smaller circle has a diameter of 9 inches.

• The larger circle has a diameter of 14 inches.

• How much more area does the larger circle occupy?

CD and a Laptop• The CD has a radius of 2.5

inches.• The laptop has a length of

19 inches and a width of 12 inches.

How much larger in area is the laptop than the CD?

Hint- first find the area of each figure.

Geometry – Project Math

• Turn in your work and solutions to Mr. Macdonald in the front office.

• No work, no rewards.

• The purpose of this was to extend the skills of the students that use it. We used a basic digital camera and clip art to design the unit.