# Colouring by Volume, Olympic Theme (Prisms, Pyramids, Cylinders, Cones, Spheres)

CalfordMath

824 Followers

Grade Levels

7

^{th}- 12^{th}Subjects

Standards

CCSSHSG-GMD.A.3

CCSS8.G.C.9

CCSS8.G.B.8

CCSS7.G.B.6

CCSS7.G.B.4

Resource Type

Formats Included

- Zip

Pages

95 pages

CalfordMath

824 Followers

### Description

Highly engaging! 2 Olympic Math Mosaics included! Each student's worksheet is different, ensuring individual accountability. Each worksheet represents a small section of the big picture, providing collaborative motivation! Engage your class in an Olympic mosaic involving real-life volume application problems (word problems).

The "Olympic Rings" mosaic worksheets each contain 12 the following 12 types of questions:

1) volume of rectangular prism

2) volume of cylinder

3) volume of triangular prism

4) volume of cone

5) volume of rectangular prism

6) volume of rectangular pyramid

7) volume of equilateral triangle-based pyramid

8) volume of cone given circumference

9) volume of equilateral triangular prism

10) volume of square-based pyramid

11) volume of triangular prism

12) volume of sphere

The "Olympic Torch" Mosaic worksheets each contain the following 14 types of problems:

1) volume of rectangular prism

2) volume of square-based pyramid

3) volume of cylinder

4) volume of triangular prism

5) volume of triangle-based pyramid

6) volume of rectangular prism

7) volume of cylinder given circumference

8) volume of rectangular pyramid

9) volume of cone

10) volume of square-based pyramid

11) volume of isosceles triangular prism

12) volume of equilateral triangle-based pyramid

13) volume of square-based pyramid

14) volume of sphere

Worksheets integrate metric and imperial units, and use decimal and fractional length values (randomly 20% of the time).

Units are chosen randomly for each problem, providing an opportunity for students to decide if the measurement is realistic or not, building a strong conceptual understanding of cubic units of measurement.

CHECK OUT THE PRODUCT PREVIEW to see sample worksheets, showing the range of problem types. You will know exactly what these worksheets involve!

It's simple!

1. Calculate the answers.

2. Colour the squares.

3. Cut out your section.

4. Combine with the class!

Students complete the problems to decode the colour-by-number key, then colour their section of the mosaic.

INCLUDED: (For both mosaics)

-.pdf and .docx of everything

-Full class sets (24 and 20 sheets) for the Olympic mosaics.

-A Teaching Tips page

-An answer-range key for quick student assessment at a glance. (i.e. "Blue always has an answer between 120 and 160")

-A COMPLETE ANSWER KEY for every worksheet

-A coloured, coordinate-labelled image of the mosaic to help you assemble the completed picture.

-The "Problem Order" list (shown above), giving the order of problem types on the worksheets.

THE MATH INVOLVED:

-Interpret V word problems arising from real life contexts

-Use volume formulas for cylinders, prisms, pyramids, cones, and spheres to solve problems

-Work with fractional and decimal edge lengths in the context of solving real-world problems

-Use both metric and imperial units of measurement for length and volume, and consider the appropriateness of the (randomly chosen) unit for each problem.

-Use the Pythagorean theorem to solve for necessary dimensions (slant height, perpendicular height, apex height)

-Determine desired dimensions given information about the shape (i.e. get radius from circumference)

If you like this product, be sure the check out the whole "Colouring by..." series, sorted by topic.

All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Maybe a class set of pencil crayons would be a fun departmental purchase? :)

HERE ARE AR FEW SAMPLE PROBLEMS:

Ethan's cologne bottle is in the shape of a square-based pyramid with base lengths of 4.6 in., and an apex height of 9.2 in. How much cologne does his bottle hold?

Gisselle's barbeque propane tank is cylindrical, with a radius of 5 in. and height 1 in. What is the volume of her tank?

At Barb's bakery, an interesting loaf of bread is shaped like an isosceles triangular prism with a slant height of 4.6 mm and a base length of 8.2 mm, and 3D depth of 10.3 mm. How much bread is the loaf made of, in mm³?

The concrete foundation of Betty's house is in the shape of a rectangular prism with dimensions of 1.8 yd. by 7.1 yd. by 8.9 yd. What volume of concrete was poured?

A tin for holding chocolates is cylindrical with a circumference of 31.9 mm and height 1.5 mm. How much space can be filled with chocolates?

A decorative mass of cheddar cheese is in the shape of a rectangular pyramid with base dimensions of 2.3 by 9.2 mi., with apex height 18.5 mi. How much cheddar is on display, in cu. mi.?

At Brooke's track meet, an old-fashioned megaphone is shaped like a cone, with a radius of 6.5 in. and height 3.3 in. What volume of air is in the megaphone?

Moe's artistically sculpted wad of chewing gum stuck to the underside of his desk is in the shape of a square-based pyramid with base lengths of 6.1 ft., and an apex height of 12.2 ft. How much chewing gum is in the wad, in cu. ft.?

An epically awesome geometric solid is shaped like an isosceles triangular prism with a slant height of 6.4 km and a base length of 11.9 km, and 3D depth of 11.9 km. Find its volume.

Jevon's new diamond earring is shaped like an equilateral triangle-based pyramid, where the base-triangle's sides measure 6.2 km, and the apex height is 31.1 km. Determine the diamond's volume.

A tombstone in a cemetery is in the shape of a square-based pyramid with base lengths of 6.6 yd., and an apex height of 13.1 yd. What volume of stone forms the grave monument?

Peter's scoop of ice cream is spherical, with a diameter of 7.2 m. What volume of ice cream is in the scoop?

I'd love to hear from you! Leave some feedback through TpT about how this went in your classroom, or email me at calfordmath@live.ca.

The "Olympic Rings" mosaic worksheets each contain 12 the following 12 types of questions:

1) volume of rectangular prism

2) volume of cylinder

3) volume of triangular prism

4) volume of cone

5) volume of rectangular prism

6) volume of rectangular pyramid

7) volume of equilateral triangle-based pyramid

8) volume of cone given circumference

9) volume of equilateral triangular prism

10) volume of square-based pyramid

11) volume of triangular prism

12) volume of sphere

The "Olympic Torch" Mosaic worksheets each contain the following 14 types of problems:

1) volume of rectangular prism

2) volume of square-based pyramid

3) volume of cylinder

4) volume of triangular prism

5) volume of triangle-based pyramid

6) volume of rectangular prism

7) volume of cylinder given circumference

8) volume of rectangular pyramid

9) volume of cone

10) volume of square-based pyramid

11) volume of isosceles triangular prism

12) volume of equilateral triangle-based pyramid

13) volume of square-based pyramid

14) volume of sphere

Worksheets integrate metric and imperial units, and use decimal and fractional length values (randomly 20% of the time).

Units are chosen randomly for each problem, providing an opportunity for students to decide if the measurement is realistic or not, building a strong conceptual understanding of cubic units of measurement.

CHECK OUT THE PRODUCT PREVIEW to see sample worksheets, showing the range of problem types. You will know exactly what these worksheets involve!

It's simple!

1. Calculate the answers.

2. Colour the squares.

3. Cut out your section.

4. Combine with the class!

Students complete the problems to decode the colour-by-number key, then colour their section of the mosaic.

INCLUDED: (For both mosaics)

-.pdf and .docx of everything

-Full class sets (24 and 20 sheets) for the Olympic mosaics.

-A Teaching Tips page

-An answer-range key for quick student assessment at a glance. (i.e. "Blue always has an answer between 120 and 160")

-A COMPLETE ANSWER KEY for every worksheet

-A coloured, coordinate-labelled image of the mosaic to help you assemble the completed picture.

-The "Problem Order" list (shown above), giving the order of problem types on the worksheets.

THE MATH INVOLVED:

-Interpret V word problems arising from real life contexts

-Use volume formulas for cylinders, prisms, pyramids, cones, and spheres to solve problems

-Work with fractional and decimal edge lengths in the context of solving real-world problems

-Use both metric and imperial units of measurement for length and volume, and consider the appropriateness of the (randomly chosen) unit for each problem.

-Use the Pythagorean theorem to solve for necessary dimensions (slant height, perpendicular height, apex height)

-Determine desired dimensions given information about the shape (i.e. get radius from circumference)

If you like this product, be sure the check out the whole "Colouring by..." series, sorted by topic.

All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Maybe a class set of pencil crayons would be a fun departmental purchase? :)

HERE ARE AR FEW SAMPLE PROBLEMS:

Ethan's cologne bottle is in the shape of a square-based pyramid with base lengths of 4.6 in., and an apex height of 9.2 in. How much cologne does his bottle hold?

Gisselle's barbeque propane tank is cylindrical, with a radius of 5 in. and height 1 in. What is the volume of her tank?

At Barb's bakery, an interesting loaf of bread is shaped like an isosceles triangular prism with a slant height of 4.6 mm and a base length of 8.2 mm, and 3D depth of 10.3 mm. How much bread is the loaf made of, in mm³?

The concrete foundation of Betty's house is in the shape of a rectangular prism with dimensions of 1.8 yd. by 7.1 yd. by 8.9 yd. What volume of concrete was poured?

A tin for holding chocolates is cylindrical with a circumference of 31.9 mm and height 1.5 mm. How much space can be filled with chocolates?

A decorative mass of cheddar cheese is in the shape of a rectangular pyramid with base dimensions of 2.3 by 9.2 mi., with apex height 18.5 mi. How much cheddar is on display, in cu. mi.?

At Brooke's track meet, an old-fashioned megaphone is shaped like a cone, with a radius of 6.5 in. and height 3.3 in. What volume of air is in the megaphone?

Moe's artistically sculpted wad of chewing gum stuck to the underside of his desk is in the shape of a square-based pyramid with base lengths of 6.1 ft., and an apex height of 12.2 ft. How much chewing gum is in the wad, in cu. ft.?

An epically awesome geometric solid is shaped like an isosceles triangular prism with a slant height of 6.4 km and a base length of 11.9 km, and 3D depth of 11.9 km. Find its volume.

Jevon's new diamond earring is shaped like an equilateral triangle-based pyramid, where the base-triangle's sides measure 6.2 km, and the apex height is 31.1 km. Determine the diamond's volume.

A tombstone in a cemetery is in the shape of a square-based pyramid with base lengths of 6.6 yd., and an apex height of 13.1 yd. What volume of stone forms the grave monument?

Peter's scoop of ice cream is spherical, with a diameter of 7.2 m. What volume of ice cream is in the scoop?

I'd love to hear from you! Leave some feedback through TpT about how this went in your classroom, or email me at calfordmath@live.ca.

Total Pages

95 pages

Answer Key

Included

Teaching Duration

2 days

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### Standards

to see state-specific standards (only available in the US).

CCSSHSG-GMD.A.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

CCSS8.G.C.9

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

CCSS8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

CCSS7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

CCSS7.G.B.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.