Day 161 Bellringer Name - High School Math Teachers · Day 162 Bellringer Name _____...

Day 161 Bellringer Name ____________________________________

HighSchoolMathTeachers @2017

Use the following information to answer questions 1 – 5

Identify the following figures

1. Cone(s)

2. Cuboids(s)

3. Prism(s)

4. Pyramid(s)

5. Sphere(s)

(ii)

(i)

(iii)

(vi)

(v)

(iv)

(vii)



Answer Key

Day 161:

1. (v)

2. (i) and (vi)

3. (i), (ii) and (vi)

4. (iv) and (v)

5. (iii)

Day 161 Activity Name ____________________________________


1. Model a trunk of a tree of any choice.

2. Identify the type of 3D figures used in your model

3. By listing each type, write the number of each used in the model

4. Identify the most common figure

5. Identify the least but present figure.



In this activity, students will mold a trunk of a tree and identify the geometric 3D figures used.

Students will working groups of at least 3. Each group will require enough clay or plasticine clay

or any similar thing, and a plat surface.

Answer Keys

Day 161:

1 No response

2. Should include a cylinder and conical frustum among others

3-5. Different response

Day 161 Practice Name ____________________________________



Identify the most suitable regular shape that can model the following parts of a tree

1. A fruit

2. Part of a straight branch

3. A straight main stem of the tree trunk without branches from the foot to the shoot.

4. A leaf (Use 2D here)

5. Part of the tree connecting the fruit to the branch

6. Part of the tree connecting the leaf to the branch

7. Which part of the tree can be best modelled using a square-based pyramid.

Use the following image of a tree trunk to answer questions 8 – 20.

8. Identify the names of a and c

9. Identify the names of i and l

a

b

c

d

e

f

g

h

i

j k

l

m n

p

q

r

s

t

v



10. Identify the name of b

11. Identify the name of k

12. Which formula would you use to fund the volume of k?

13. What part of tree is t

14. Identify the name of figure t

15. Are the geometric figures r and t the same?

16. If yes, explain why. If no, provide the names of each one of them.

17. Identify the family of three dimensions that p comes from

18. Identify the family of three dimensions that 𝑎 comes from.

19. A part from a, identify any other two 3D figures that are in the same family with a.

20. Identify the most common figure that is used in the modeling of the above tree.



Answer Keys

Day 161

1. Sphere or ellipsoid

2. Conical frustum

3. Cone

4. Ellipse

5. Cylinder

6. Cylinder

7. Shoot

8. Cylinders

9. Cylinders

10. Conical frustum

11. Cone

12. 1

3𝜋𝑟2ℎ

13. Fruit

14. Elipsoid

15. no

16. r is a sphere and t is a an ellipsoid

17. Pyramid

18. Prism

19. Cuboids, cubes and any polygonal based prism

20. Cylinder

Day 161 Exit Slip Name ____________________________________

HighSchoolMathTeachers@2017

Identify figure that is best suited for modelling a part of the tree connecting the fruit to the branch.

• Cuboid

• Sphere

• Pyramid

• Cylinder



Answer Keys

Day 161:

cylinder




1. Identify two plane figures that bound a right cylinder at its ends.

2. What so common about the figures in 3 above?

3. Which plane figure describes the shape of a curved suface of a cylinder

4. How many faces does a rectangular paced pyramid have?

5. How many rectangles does an octagonal prism have?



Answer Key

Day 162:

1. Circles

2. They are equal

3. Rectangle

4. 5

5. 8



1. Model a human torso of any choice.

2. Try to see if you can subdivide it into recognized standard 3D geometric figures. Identify the

type of 3D figures used in your model






In this activity, students will mold a human torso and identify the geometric 3D figures used.

Students will working groups of at least 3. Each group will require enough clay or plasticine clay

or any similar thing, and a plat surface.

Answer Keys

Day 162:

1 No response

2. Should include cylinders, sphere and conical frustums among others

3-4. Different response

5. Cylinder or conical frustum




Identify the most suitable regular shape that can model the following parts of a human torso.

1. A fingers

2. Toes

3. Thigh

4. From the chest to the upper abdomen

5. Head

6. Hands

7. Neck



Use the following image of a tree trunk to answer questions 8 – 20.

Identify the names of the following geometric figures

8. Identify the names of geometric figure a

9. Identify the names of geometric figure b

10. Identify the names of geometric figure c

a

b

c

d e

f g h

i j

k

l

m

n

p



11. Identify the names of geometric figure i

12. Identify the names of geometric figure j

13. Identify the names of geometric figure n

14. Which part of the body is p?

15. Which geometric figure is representing it?

16. Is there any other suitable figure that can represent it? Which one.

17. Explain your answer in 16 above.

18. Is it okay to use a circular based prism to represent the part i?

19. Explain your answer above.

20.A part from the figures d and e, which is the other most suitable figure that can represent

them?

21. Why it is wise to represent f and c with the figures used above?



Answer Keys

Day 162

1. Cylinder

2. Cylinder or ellipsoid

3. Conical frustum

4. Cylinder or cuboid

5. Sphere or Ellipsoid

6. Cylinder or cuboid

7. Cylinder, conical frustum or frustum of a cuboid

8. Cuboid

9. Cuboid

10. Sphere

11. Cuboid

12. Cylinder

13. Cylinder

14. The head

15. Sphere

16. Yes, Ellipsoid

17. Because it looks round like a slightly stretched ball

18. Yes

19. Because that region of the body appears cylindrical

20. Conical frustum

21. To allow easy movement of the limbs



Identify figure that is best suited for modelling a head of a human being



Answer Keys

Day 162:

A sphere or an ellipsoid



1. Identify a solid that is enclosed by rectangles only.

2. Identify a solid that is enclosed of squares only.

3. Identify a solid that is enclosed by a square and four triangles with a common apex.

4. Identify a solid that is enclosed by two equal circles and a curved surface inform of a

rectangle.

5. Identify a solid that is enclosed by a circles and a curved surface inform of a sector.



Answer Key

Day 163:

1. Cuboid

2. Cube

3. Square based pyramid

4. Cylinder

5. Cone



1. Model a hat, a bungalow, an apartment, a story building or any building of your choice.

2. Try to see if you can subdivide it into recognized standard 3D geometric figures. Identify the

type of 3D figures used in your model






In this activity, students will mold a house and identify the geometric 3D figures used. Students

will working groups of at least 4. Each group will require enough clay or plasticine clay or any

similar thing, and a plat surface.

Answer Keys

Day 163:

1 No response

2. Different responses

3. Different response

4. Cuboid

5. Different response




Identify the most suitable and common regular shape that can model the following parts of a

building

1.A normal door

2. A housing of a cross-like rotating door


3. Identify the name of the geometric figure similar to that of A.

4. Identify the name of the geometric figure similar to that of B.

A

B

C

D

E

F



5. Identify the name of the geometric figure similar to that of C.

6. Identify the name of the geometric figure similar to that of D.

7. Identify the name of the geometric figure similar to that of E.

8. Identify the name of the geometric figure similar to that of F.

9. Identify any other figure that can be used as a roof on E in place of F.

10. What is common about F and the figure above?

11. Identify other figures in the same category as F and that in 9 above.


The figure above shows a hut. Use it to answer the following questions.

12. Which figure is A?

13. Which other figure of the same category can be used in place of A?

A

B



14. Apart from the figure in 13 above, identify any other figure with circular enclosures that can

be used instead of A.

15. Give one name for all figures in 12, 13 and 14 above.

16. Which figure is B above.

17. Identify the family that B comes from.

18. Apart from B, identify any other figure with circular enclosure that can be used instead of B.

Apart from figure B and the figure in 18 above, list a figure in place of A and its corresponding

3D figure in place of A that will make a perfect match as the hut above.

B A

19

20



Answer Keys

Day 163

1. Cuboid

2. Cylinder

3. Cuboid

4. Cuboid

5. Sphere

6. Cuboid

7. Cuboid

8. Semi-cylinder

9. Triangular based prism (or Isosceles triangular based prism)

10. Prism

11. Rectangular prism or pentagonal prism among others

12. Cube

13. Cuboid

14. Cylinder

15. Prism

16. Square based pyramid

17. Pyramids

18. Cone

B A

19,

20

Rectangular based pyramid, Cylinder,

pentagonal based pyramid, hexagonal

based pyramid, Tetrahedron etc

Cuboid, cone, pentagonal based prism,

hexagonal based prism, Triangular based

prism etc



Identify figure that is most common in modelling flat storey building



Answer Keys

Day 163:

Cuboid



1. One cubic foot of water weighs 62 𝑙𝑏𝑠. What is the weight of 0.8 𝑓𝑡3 of water.

2. 3 𝑓𝑡3 of a material weighs 360 pounds. What is the density of the material.

3. 70 𝑓𝑡2 of a room requires 35000 𝐵𝑇𝑈𝑠 for heating. How many BTUs are required to heat one

square foot of a room.

4. Find the density of the following materials.

a) 2 𝑓𝑡3 of gold weighing 2412 pounds.

b) 3 𝑓𝑡3 of mercury weighing 2538 pounds.



Answer Key

Day 164:

1. 49.6 𝑙𝑏

2. 120 𝑙𝑏/𝑓𝑡3

3. 500 𝐵𝑇𝑈𝑠

4. a) 1206 𝑙𝑏/𝑓𝑡3

b) 846 𝑙𝑏/𝑓𝑡3



1. Using a weighing machine, weigh the piece of the stone.

2. Put some water into the graduated cylinder until it is half way full of water and record the

readings.

3. Put the stone into water contained in the graduated cylinder and record the new readings.

4. Find volume of the stone.

5. Calculate the density of the stone.



In this activity students will find the density of a stone. Students will work in groups of at least

three and each group is required to have graduated cylinder, or Eureka can, a piece of a stone and

weighing machine.

Answer Keys

Day 164:








1. A piece of copper metal weighs 12 lbs. Calculate its volume if the density of copper is

0.324 𝑙𝑏/𝑖𝑛3.

Use this information to answer questions 2 – 5.

A rectangular hall in Alaska measures 60 𝑓𝑡 by 50 𝑓𝑡. During severe winter the hall is heated

using coal. 90, 000 BTUs of heat per square feet are required to heat the house for the winter.

One cubic feet of coal supplies 800 BTUs of heat energy. Coal sells for 2 dollars per 1000 cubic

feet.

2. Find the area of the hall.

3. Find the heat energy required to heat the hall for the winter.

4. Calculate the volume of coal required to heat the hall for the winter.

5. Calculate the cost of heating the hall for the winter.

Use this information to answer questions 6 – 10.

A home requires 11,000 BTUs per day during winter. One cubic feet of natural gas gives 1000

BTUs of heat energy. 3 cubic feet of natural gas costs 5 dollars.The winter took 100 days.

6. How many BTUs are needed to heat the home for the winter.

7. How many cubic feet of natural are required in one day.

8. How many cubic feet of natural are required for the winter.



9. What is the cost of heating the house in one day.

10. What is the cost of heating the house for the winter

11. A cattle ranch has a size of 300 square miles. The density of cows in the rank is 5

cows/square mile. Calculate the number of cows in the ranch.

Use this information to answer questions 12 - 14.

During census the population of a certain city was found to be 4.5 million. The city has a size of

450 square miles. One person consumes 5.3 gallons of water in one day.

12. Find the arithmetic density of the city.

13. How many gallons of water needs to be supplied per square mile in a day.

14. How many gallons of water are consumed in the city in one day.

15. If the cost of suppling water is 1 dollar per 100 gallons, find the daily cost of suppling water

in one square mile.

Use this information to answer questions 16 - 18.

A student wanted to find the density of a piece of stone. He sunk the piece of the stone in water

contained in a graduated cylinder and 1.2 𝑖𝑛3 of water were displaced. The piece of the stone

weighed 0.2 pounds.

16. What was the volume of the piece of the stone.

17. Find the density of the piece of the stone.



In questions 18 – 20, find the volume of each piece of material.

(Density of copper is 0.324 𝑙𝑏/𝑓𝑡3, Density of silver is 0.379 𝑙𝑏/𝑓𝑡3, Density of lead is

0.410 𝑙𝑏/𝑓𝑡3)

18. 5 𝑙𝑏𝑠 of copper

19. 4 𝑙𝑏𝑠 of lead

20. 3 𝑙𝑏𝑠 of silver



Answer Keys

Day 164:

1. 37 𝑖𝑛3

2. 3000 𝑓𝑡2

3. 270,000,000 𝐵𝑇𝑈𝑠

4. 337,700 𝑓𝑡3

5. 675 dillars

6. 1100000 𝐵𝑇𝑈𝑠

7. 11 𝑓𝑡3

8. 1,100 𝑓𝑡3

9. 18.30 dollars

10. 1833 dollars

11. 1,500 cows

12. 10,000 people/sq. mile

13. 53,000 gallons

14. 23,850,000 gallons

15. 530 dollars

16. 1.2 𝑖𝑛3

17. 0.1667 𝑙𝑏/𝑖𝑛3

18. 15.43 𝑖𝑛3

19. 9.756 𝑖𝑛3

20. 7.916 𝑖𝑛3



Carie’s mother has a house in Alaska with an area of 3000 𝑡2 . During severe winter, Carie’s

family uses natural gas to heat the house. 120,000 BTUs of heat per square feet are required to

heat the house for the winter. 1 𝑓𝑡3 of natural gas gives 800 BTUs of heat. If one thousand cubic

feet of natural gas is bought at 5 dollars, calculate the cost of heating the house for the winter.



Answer Keys

Day 164:

2,250 Dollars

Day 161 Bellringer Name - High School Math Teachers · Day 162 Bellringer Name _____...

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