Practicing the **Bridges in Mathematics Grade 4 Home Connections Answer Key** **Unit 8 Module 3** will help students analyze their level of preparation.

## Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 8 Module 3

**Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 3 Session 1 Answer Key**

**Measurement & Decimal Review**

Question 1.

Read the situations below carefully. Write E if an estimate is good enough. Write M if a precise measurement is necessary.

a. ______________ Isaac is buying some items at the store. He has $20 in his pocket. Does he need to know exactly how much the items cost altogether, or can he estimate to see if he has enough money?

Answer:

M – Because Isaac needs to know the cost of all items together.

b. _____________ Tiffany is making a frame for her favorite picture. Does she need to measure the picture exactly to know how big her frame should be, or can she estimate?

Answer:

M – Because Tiffany can’t make the frame without measuring the picture in order to prepare a frame exactly.

c. ______________ Martin has some chores he needs to do on Saturday. His friend wants to know if he can come over to play at 4:30. Does Martin need to know exactly how long he will spend on each chore, or can he estimate to see if he will be done in time to play with his friend?

Answer:

E – She can estimate the duration spent on every chore and playing with his friend.

d. _______________ Jin is baking cookies. Can he estimate the amount of flour he puts in the recipe, or does he need to measure it out exactly?

Answer:

M- Jin is unable to do the cookies without measuring the amount of floor he puts in the Recipe.

e. ________________ Mrs. Suarez is making some curtains for her living room. Can she estimate how big her windows are, or should she measure them to figure out exactly how wide and tall they are before she starts cutting her fabric?

Answer:

M – Mrs. Suarez should measure how big the curtains are in her living room before cutting the fabric.

Question 2.

Describe a time you needed to take an exact measurement. What were you doing? What tool did you use to measure? What unit of measurement did you use?

Answer:

Suppose John wanted to design the curtains for the dining room. So, he utilized the tool called Measuring Tape. He measured the curtain by using the Tape in the units as inches.

Question 3.

Describe a time you made an estimate. How did you make your estimate? For example, did you use rounding and friendly numbers? Did you think about what you already knew?

Answer:

I went to a grocery store and I am adding a few items to the cart. During this time I made an estimate of costs of all the products running in my head to decide if the overall price stays within my budget or not.

Question 4.

Write the decimal number that is equal to each fraction below.

\(\frac{1}{2}\) = _________________

1\(\frac{1}{2}\) = _________________

\(\frac{6}{10}\) = _________________

\(\frac{79}{100}\) = _________________

\(\frac{1}{4}\) = _________________

\(\frac{3}{4}\) = ____________

\(\frac{7}{10}\) = _________________

\(\frac{2}{100}\) = _________________

\(\frac{30}{100}\) = _________________

\(\frac{53}{100}\) = _________________

2\(\frac{6}{100}\) = _________________

2\(\frac{1}{4}\) = _________________

Answer:

Simply divide the numerator value by denominator value and get the Decimal value for the given numbers as shown below.

\(\frac{1}{2}\) = 0.5

1\(\frac{1}{2}\) = 1.5

\(\frac{6}{10}\) = 0.6

\(\frac{79}{100}\) = 0.79

\(\frac{1}{4}\) = 0.25

\(\frac{3}{4}\) = 0.75

\(\frac{7}{10}\) = 0.7

\(\frac{2}{100}\) = 0.02

\(\frac{30}{100}\) = 0.3

\(\frac{53}{100}\) = 0.53

2\(\frac{6}{100}\) = 12

2\(\frac{1}{4}\) = 2.25

Question 5.

Use >, <, or = to compare each pair of numbers.

\(\frac{3}{2}\) _________________ 1.5

0.6 _________________ \(\frac{9}{100}\)

\(\frac{36}{100}\) _________________ 0.25

0.75 _________________ \(\frac{9}{12}\)

83\(\frac{1}{2}\) _________________ 83.48

\(\frac{125}{100}\) _________________ 1.07

\(\frac{82}{100}\) _________________ 0.9

74\(\frac{3}{4}\) _________________ 74.8

Answer:

Place the greater than symbol , when first number is higher than the second number. Similarly , Place Less than symbol , when first number is Lesser than the second number. Place the Equality symbol , when both first number and second are similar.

\(\frac{3}{2}\) = 1.5

0.6 > \(\frac{9}{100}\)

\(\frac{36}{100}\) > 0.25

0.75 = \(\frac{9}{12}\)

83\(\frac{1}{2}\) > 83.48

\(\frac{125}{100}\) > 1.07

\(\frac{82}{100}\) < 0.9

74\(\frac{3}{4}\) < 74.8

Question 6.

Shade in and label each grid to show a decimal number that fits the description. There is more than one right answer for each one.

Show a number that is greater than \(\frac{1}{2}\) and has an odd number in the hundredths place.

Answer:

0.7 and 0.9 are two numbers that are greater than \(\frac{1}{2}\) and having an odd number in the hundredths place.

Show a number that is greater than \(\frac{3}{4}\) and has a 0 in the hundredths place.

Answer:

0.2 is a number which is greater than \(\frac{3}{4}\) and has an 0 in the hundredths place.

Show a number that is less than \(\frac{1}{4}\) and has an even number in the tenths place.

0.2 is a number that is less than \(\frac{1}{4}\) and has an even number in the tenths place.

Show a number between \(\frac{1}{4}\) and \(\frac{1}{2}\) with an odd number in the tenths place.

Answer:

Given \(\frac{1}{4}\) and \(\frac{1}{2}\)

Add both the numbers \(\frac{1}{4}\) + \(\frac{1}{2}\)

Hence 0.3 is a number between \(\frac{1}{4}\) and \(\frac{1}{2}\) with an odd number in the tenths place.

**Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 3 Session 3 Answer Key**

**Drawing the Playground**

Ms. Li’s class drew a scaled map of the area they needed for their play structure. The rectangle below represents the playground with measurements to 1:360 scale.

Question 1.

What is the length, width, perimeter, and area of the space at full scale? Give the dimensions in centimeters and meters.

Answer:

Given Length (l) = 8 cm

Width(W) = 5 cm

Perimeter of rectangle is calculated as = 2(8+ 5)

= 2 ( 8 + 5 )

= 2 x 13

= 26 cm

The area of the rectangle is calculated as = l .W

= 8 . 5

= 40 cm

To convert all the values into meters, simply multiply all the obtained values in centimeters values with 0.01 and get the results as shown in the table below.

Question 2.

The merry-go-round drawing below is on a 1:24 scale. What is the diameter of the merry-go-round at full scale? Give the diameter in centimeters and meters.

Answer:

Given the radius of a merry-go-round = 9cm

As we know, the Diameter of a merry – go-round (d) = 2r

= 2 x 9

= 18 cm

To get the value in meters , multiply the 18 cm with 0.01

= 18 x 0.01

= 0.18 meters.

Question 3.

The drawing of a seesaw platform below is to 1:50 scale. What is the length, width, perimeter, and area of the seesaw at full scale? Give the dimensions in centimeters and meters.

Answer:

Given Length (l) = 6 cm

Width(W) = 1 cm

Perimeter of rectangle is calculated as = 2(l+ W)

= 2 ( 6 + 1 )

= 2 x 7

= 14 cm

The area of the rectangle is calculated as = l .W

= 6 . 1

= 6 cm

To convert all the values into meters, simply multiply all the obtained values in centimeters values with 0.01 and get the results as shown in the table below.

**Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 3 Session 5 Answer Key**

**Playground Map**

Ms. Vega’s class has a playground with a length of 50 meters and a width of 40 meters.

Question 1.

Draw a large outline for a map of the playground below.

Answer:

Given Length (l) = 50 m

Width(W) = 40 m

Perimeter of rectangle is calculated as = 2(50+ 40)

= 2 ( 50 + 40 )

= 2 x 90

= 180 cm

The area of rectangle is calculated as = l .W

= 50 . 40

= 200 cm

To convert all the values into meters, simply multiply all the obtained values in centimeters values with 0.01 and get the results as shown in the table below.

Question 2.

Arrange all of the following items on the playground map. Make sure their dimensions fit in the playground space. You do not have to draw the map precisely to scale.

- Label each item on your map.
- Find the area of each item and enter it in the table below.

Answer:

A few playground items with Dimensions and also the Area playground items are Calculated as shown below.

Question 3.

Add your choice of additional playground items to the remaining space on your map. Write the name, dimensions, and area of each additional item in the table.

Answer: