Formula Sheet Lesson 1

7/28/2019 Formula Sheet Lesson 1

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Formula Sheet Name: _________key___________

Student Study Guide Answer Key

Formula Sheet Study Guide

Look at the formula sheet and answer the following questions:

1) How do you know if a shape is a rectangle?_____________________2) What does w and l stand for?______________________________3) What is the difference between Perimeter and Area?____________

____________________________________________________

4) Why are there 2s next to the l and w in perimeter? _____________5) How do you know a shape is a parallelogram? ___________________6) What do the b and h stand for? ____________________________7) How is the Area formula for the parallelogram different than the

area formula for a rectangle? ______________________________

8)Looking at the circle formulas, what does r and d stand for? _______

____________________________________________________

9) How are r and d related? _________________________________10)What does circumference mean? ___________________________11)What is the symbol stand for? ___________________________12)In the trapezoid formula what do the bs stand for? _____________13)Look at the triangle formula, how does it relate to the rectangle

formula? _____________________________________________

14)In the Pythagorean Theorem, what is the difference between a, b, andc? __________________________________________________15)Look at the formula for a rectangular solid, what is the differencebetween volume and surface area? __________________________

16)What does l, w, and h stand for? ___________________________17)Look at the formula for the volume of a cylinder. Another way to

phrase it is the area of the base times the height. What part of the

formula is the area of the base? ____________________________

18)How is the formula of a cone related to the formula of a cylinder? ______________________________________________________

19)Look at the section labeled Other Necessary Information. Is quarta standard or metric form of measurement? ___________________

20)List the other standard measurements on the page: _____________

____________________________________________________

21)In the last two formulas what does F and C stand for? ___________

_____________________________________________________


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Title: Formula Sheet 1

Objectives: Students will be able to read and recognize problems where the Proficiency

Formula Sheet can be used. Students will be able to put important information into theformulas and solve.

Materials: teacher notes and scriptformula sheet (1 per student)

formula sheet study guide (1 per student)student worksheet (1 per student)

Previous Knowledge Needed: None

Important Concepts/Methods: Using the formula sheet.

Script: Teacher: Pass out copy of formula sheet. Have students look over quietly for 1-

2 minutes. Have students work in pairs to see how much they can complete of the

Formula Sheet Study Guide (five minutes). Go over the correct answers and have thestudents fill in the correct answers:

1) Opposite sides of a quadrilateral are parallel, 4 right angles.2) W width, l- length.3) Perimeter distance around the outside of a shape, Area the space an object

takes up on the inside.

4) When you count up the sides, you count up 2 lengths and 2 widths.5) Opposite sides are parallel, quadrilateral.6) B base, h height.7) They are really the same, you just need to make sure that you are measuring

the height of the parallelogram and not a slanted side.

8) R radius, d- diameter.9) Diameter is twice the length of a radius.10)Circumference is the same as perimeter distance around the outside of a

circle.11)The symbol is pi and is 3.14.12)B stands for base 1 and base 2.13)A triangle is half of a rectangle area formula.14)C is the hypotenuse always and a and b represent sides.15)Surface area is adding up all the areas of the sides and volume is the area of

the base times the height.16)L-length, w-width, h-height.17)

Pi r squared.18)It is 1/3 the formula for cylinder.

19)Quart standard.20)Standard inch, pound21)F-Fahrenheit, c-Celsius.

Teacher: Pass out the Student Worksheet. Have the students match the problems to theformulas and solve. (10 - 15minutes).

Script


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Script

Common Mistakes: Students confuse area and perimeter often as well as circumference

and area. Students have trouble with surface area vs. volume. When students use theFahrenheit and Celsius formulas, they get stuck on the fraction part. It is easier to have

them multiply by the numerator first then divide the product by the denominator.

Student Problems: By looking at the Formula Sheet, have the students try to solve the

problems, then go over the answers together.

1) D 2) D 3) B 4) D 5) B 6) A 7) D 8) C 9) A10) C 11) B 12) C 13) B


4/9Formula Sheet


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Lesson: Formula Sheet 1 Name: _________________________

Student Worksheet

6x-3

2x+4

6

12

12

Problem Formula (Rectangle area lw, etc) Solution

1. If you double the radius of a circle, how much does the area increase?a. The area remains the same.

b. The area doubles.c. The area decreases by half.d. The area is four times greater.

2. Which measurement is closest to the circumference of the circlebelow?

a. 6 feetb. 9 feetc. 15 feetd. 19 feet

3. What is the perimeter of the rectangle below?a. 8x-12

b. 16x+2c. 12x2-12d. 12x2+18x-12

4. The width of a rectangle is 2 units less than the length. Ifl representsthe length of the rectangle, which of these expressions represents the

area of the rectangle?

a. l-2b. l2-2c. 2(l-2)d. l(l-2)

5. Find the area of the rectangle below.a. 42 in2

b. 48 in2c. 54 in2d. 60 in2

6. It is 12o Celsius, what temperature is it in Fahrenheit?a. 53.6o

b. 12oc. -11.11od. 38.67o

7. How many of the smaller cubes will fit inside the larger box? (figuresare not drawn to scale.)

a. 6b. 16c. 32d. 24

3 feet

6 in10 in

3

3


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Lesson: Formula Sheet 1 Name: _________________________

Student Worksheet

20 in8 in

24 in

16 cm

17 cm 14 cm10 cm

20 cm

9

8 32

8. The diagram below shows a box without a top. Each of the sides is arectangle. What is the sum of the surface area of the five sides?

a. 832 in2b. 992 in2c. 1472 in2d. 1664 in2

9. The first cylinder below has a height of 10 inches and a radius of 4inches. For the second cylinder, the radius is doubled to 8 inches and

the height is 10 inches. What has happened to the volume of the twocylinders?

a. The volume of the second cylinder is 4 times that of the firstcylinder.

b. The volume of the two cylinders is the same.c. The volume of the second cylinder is half that of the first

cylinder.

d. The volume of the second cylinder is double that of the firstcylinder.

10. Find the area of the following figure.a. 340 centimeters

b. 67 centimetersc. 180 sq. centimetersd. 200 sq. centimeters

11. It takes 2 liters of water to fill a cone with radius 10 cm. If the cone isstretched so the radius is doubled, but the height stays the same, how

much water is needed to fill the new cone?

a. 4 litersb. 8 litersc. 12 litersd. 16 liters

12. A neighborhood park is shaped like a parallelogram with a base of220 yards and a height of 132 yards. What is the total area of the

park?

a. 14,520 yards2b. 704 yards2c. 29,040 yards2d. 7,744 yards2

13. What is the area of the triangle pictured below?a. 13.5

b.

9c. 8d. 12


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Lesson: Formula Sheet 1 Name: ______Key___________________

Problem Formula (Rectangle area lw, etc) Solution

1. If you double the radius of a circle, how much does the area increase?a. The area remains the same.

b. The area doubles.c. The area decreases by half.d. The area is four times greater.

2. Which measurement is closest to the circumference of the circlebelow?

a. 6 feetb. 9 feetc. 15 feetd. 19 feet

3 feet

Student Worksheet Answer Key

6x-3

2x+4

3. What is the perimeter of the rectangle below?a. 8x-12

b. 16x+2c. 12x2-12d. 12x2+18x-12

4. The width of a rectangle is 2 units less than the length. Ifl representsthe length of the rectangle, which of these expressions represents the

area of the rectangle?

a. l-2b. l2-2c. 2(l-2)d. l(l-2)

6

12

12

5. Find the area of the rectangle below.a. 42 in2

b. 48 in2c. 54 in2d. 60 in2

6. It is 12o Celsius, what temperature is it in Fahrenheit?a. 53.6o

b. 12oc. -11.11od. 38.67o

6 in10 in

7. How many of the smaller cubes will fit inside the larger box? (figuresare not drawn to scale.)

a. 6b. 16c. 32d. 24

3

3


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Lesson: Formula Sheet 1 Name: ______Key___________________

Student Worksheet Answer Key

20 in

24 in

8 in

8. The diagram below shows a box without a top. Each of the sides is arectangle. What is the sum of the surface area of the five sides?

a. 832 in2b. 992 in2c. 1472 in2d. 1664 in2

20 cm

14 cm

16 cm

10 cm17 cm

9

8 32

9. The first cylinder below has a height of 10 inches and a radius of 4inches. For the second cylinder, the radius is doubled to 8 inches and

the height is 10 inches. What has happened to the volume of the twocylinders?

a. The volume of the second cylinder is 4 times that of the firstcylinder.

b. The volume of the two cylinders is the same.c. The volume of the second cylinder is half that of the first

cylinder.

d. The volume of the second cylinder is double that of the firstcylinder.

10. Find the area of the following figure.a. 340 centimeters

b. 67 centimetersc. 180 sq. centimetersd. 200 sq. centimeters

11. It takes 2 liters of water to fill a cone with radius 10 cm. If the cone isstretched so the radius is doubled, but the height stays the same, how

much water is needed to fill the new cone?

a. 4 litersb. 8 litersc. 12 litersd. 16 liters

12. A neighborhood park is shaped like a parallelogram with a base of220 yards and a height of 132 yards. What is the total area of the

park?

a. 14,520 yards2b. 704 yards2c. 29,040 yards2d. 7,744 yards2

13. What is the area of the triangle pictured below?a. 13.5

b.

9c. 8d. 12

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Formula Sheet Lesson 1