Extended Activity Answers Chapter 5

EXTENDED ACTIVITY ANSWERS CHAPTER 13

ACTIVITY -- -- Map Scales in Social Studies

Answers will vary depending on the cities chosen.

ACTIVITY -- -- Metric Measurements

Directions are given in the activity.

CAUTION: A typical error made by some students is to forget to halve the number of pages in the book because one actual page equals two pages of printed matter. The student needs to figure the thickness of actual pages.

ACTIVITY -- -- Estimation with Graph Paper

Rectangles are arranged from least to greatest area. One pattern to be seen is the greater the length and the lesser the width, the lesser the area. As the length diminishes by a centimeter and the width becomes greater by a centimeter, the area becomes greater.

ACTIVITY -- -- Metric Measurement with Area

After experimenting the formula should show that the number of square meters laid side by side along one length and one width of the room can be multiplied together to find the total square meters that could fill the floor (surface area) of the room.

ACTIVITY -- -- Area of 4

This activity is self-explanatory.

ACTIVITY -- -- Perimeter of 30

This activity is self-explanatory.

ACTIVITY -- -- Using Volume

This activity is self-explanatory.

ACTIVITY -- -- Using a Table and Square Centimeters

The measured area is the part which appears here:

Object / Measure Area in cm2
a quarter / 4.91 cm2
bottom of a 1 lb coffee tin / 81.67 cm2
3x5 index card
(7.6 cm x 12.6 cm) / 95.76 cm2
your closed hand
heel on your shoe
a picture of a lake
surface area of a block
surface area of a pyramid / Answers will vary.

ACTIVITY -- -- Using Volume

Answers will vary depending on the individual’s height and average body measurements.

ACTIVITY -- -- Using Formulas

1. The volume of the cylinder = 7694.45 cm3

The volume of the cone = 1285.57 cm3

The volume of the sphere = 10,531.38 cm3

2. The volume of the cylinder is . . .

a. when the height is doubled = 2442.68 cm3

b. when the radius is doubled = 4885.36 cm3

c. when the radius and the height are doubled = 97703.73 cm3

d. when the height is halved = 610.67 cm3

e. when the height and the radius are halved = 252.67 cm3

f. when the radius and height are multiplied by 5 = 152,667.59 cm3

3. The volume of the cone is . . .

a. when the height is doubled = 2571.14 cm3

b. when the radius is doubled = 5142.27 cm3

c. when the radius and the height are doubled = 10,284.55 cm3

d. when the height is halved = 642.78 cm3

e. when the height and the radius are halved = 160.70 cm3

f. when the radius and height are multiplied by 5 = 160,696.04 cm3

The volume of the sphere is . . .

PLEASE NOTE: Height is not a relevant measure. Therefore: a, c, and d are omitted.

b. when the radius is doubled = 84,251.01 cm3

e. when the height and the radius are halved = 1316.42 cm3

f. when the radius and height are multiplied by 5 = 1,316,422.0 cm3

4. Student answers will vary.

ACTIVITY -- -- Social Studies and Science

Answers will vary depending on the cities chosen by the students.

ACTIVITY -- -- Cuisenaire Rod Clock

Explanation and directions for the activity appear within the activity.

SPREADSHEET ACTIVITY -- -- Metric Table Spreadsheet

The formulas appear under the appropriate prefix for metric measures:

=== A ==== B ==== C ==== D ===== E ===== F ===== G =====

KILO HECTO DEKA UNIT DECI CENTI MILLI

+D3/1000 +D3/100 +D3/10 1 +D3*10 +D3*100 +D3*1000

SPREADSHEET -- -- Calculating with a Spreadsheet

The spreadsheet categories can be calculated by each column using the formulas to correspond to the correct cells in the spreadsheet.

Answers:

Area / Radius / Diameter
379.98 cm2 / 11.000579 cm / 22.001158 cm
256.78 cm2 / 9.043068 cm / 18.086135 cm
307101.9 cm2 / 312.735 cm / 625.47 cm
385 cm2 / 11.07302 cm / 22.14601 cm
3215.36 cm2 / 32 cm / 64 cm
1771.156 cm2 / 23.75 cm / 47.5 cm
221.5584 cm2 / 8.4 cm / 16.8 cm

ACTIVITY -- -- Social Studies and Science

Answers will vary depending on the cities chosen by the students.

ACTIVITY -- -- Cuisenaire Rod Clock

Explanation and directions for the activity appear within the activity.

SPREADSHEET ACTIVITY -- -- Metric Table Spreadsheet

The formulas appear under the appropriate prefix for metric measures:

=== A ==== B ==== C ==== D ===== E ===== F ===== G =====

KILO HECTO DEKA UNIT DECI CENTI MILLI

+D3/1000 +D3/100 +D3/10 1 +D3*10 +D3*100 +D3*1000

SPREADSHEET -- -- Calculating with a Spreadsheet

The spreadsheet categories can be calculated by each column using the formulas to correspond to the correct cells in the spreadsheet.

Answers:

SPREADSHEET ACTIVITY -- -- Exploring Circles with Spreadsheets

To find the area within listening range of the WKYK station:

Known: Other information that can be determined:

There are a variety of ways of setting up the spreadsheet. Examples of formulas for the spreadsheet, where the radius is entered in cell B1 . . .

in cell F1 2*B1

in cell F2 +B1^ 2*3.14

in cell F3 2*3.14*B1