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Math Quest:Into Geometry Grades 4-6

Math Quest:Into Geometry Grades 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. 9.

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Math Quest:Into Geometry Grades 4-6

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  1. Math Quest:Into GeometryGrades 4-6 By Alex Macdonald

  2. Concepts to Cover • Geometric Shapes • Perimeter & Area of Geometric Shapes • Circumference & Area of a Circle • Computation Skills • Addition • Subtraction • Multiplication

  3. Perimeter 9 • 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 12 12 9

  4. 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?

  5. 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? .

  6. 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?

  7. 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.

  8. 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

  9. 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.

  10. Area of a Rectangle W I D T H or H E I G H T • The area formula for a rectangle is… Base x Height (BxH) or Length x Width (LxW) LENGTH OR BASE

  11. 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?

  12. 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?

  13. 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?

  14. 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…

  15. 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.

  16. Circumference • The circumference is formula to find the distance around a circle. C= pi x diameter Or C= pi x 2(radius)

  17. 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.

  18. 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.

  19. 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?

  20. Area of a Circle • The Area formula for a circle is… • Pi x radius squared • (3.14 x R2)

  21. Manhole Cover • This manhole cover is approximately 26 inches across. • What is the circumference of the cover? • What is the area of the cover?

  22. 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?

  23. 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.

  24. 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?

  25. 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?

  26. 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?

  27. 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?

  28. 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?

  29. 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.

  30. 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.

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