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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.