M6: End of Module Assessment

Posljednje ažuriranje 4 months ago

M6: End of Module Assessment

Posljednje ažuriranje 4 months ago

Name _________________________________ Date ________________________

1. Decompose each fraction into hundredths using area models. Then, write the equivalent number sentence using decimals.

a. $\dfrac{8}{10}$ = _____

10-column area model 100-square grid area model

b. $\dfrac{18}{10}$ = _____

10-column area model 100-square grid area model

Decompose each fraction into hundredths. Then, write the equivalent number sentence for each part using decimals.

c. $\dfrac{2}{10}$ = _____

d. $\dfrac{5}{10}$ = _____

2. Several points are plotted on the number lines below. Identify the decimal number associated with each point.

Number line from 0 to 2 with points A, B, and C

0 0.5 1 1.5 2

A. _____ B. _____ C. _____

Number line from 3.65 to 3.85 with points D, E, and F

3.65 3.7 3.75 3.8 3.85

D. _____ E. _____ F. _____

Identify the decimal number associated with point A on the first number line.

Identify the decimal number associated with point B on the first number line.

Identify the decimal number associated with point C on the first number line.

3. Use the symbols >, =, or < to compare the following. Justify your conclusions using pictures, numbers, or words.

a. $0.02$ ______ $0.22$

b. $0.6$ ______ $0.60$

c. $17$ tenths ______ $1.7$

d. $1.04$ ______ $1 \frac{4}{10}$

e. $0.38$ ______ $\frac{38}{10}$

f. $4.05$ ______ $4 \frac{5}{100}$

g. $3$ tenths + $2$ hundredths ______ $1$ tenth + $13$ hundredths

h. $8$ hundredths + $7$ tenths ______ $6$ tenths + $17$ hundredths

Use >, =, or < to compare: $0.02$ ______ $0.22$. Include a brief justification using pictures, numbers, or words.

4. Solve.

a. Express your solution as a fraction of a meter. $0.3\text{ m} + 1.45\text{ m}$

b. Express your solution as a fraction of a liter. $1.7\text{ L} + 0.82\text{ L}$

c. Express your solution as a fraction of a dollar. 4 dimes 1 penny + 77 pennies

5. Solve.

a. $\frac{7}{10} + \frac{8}{100}$

b. $\frac{4}{10} + \frac{51}{100}$

c. $\frac{5}{10} + \frac{68}{100}$

d. $\frac{98}{100} + \frac{2}{10}$

e. $\frac{12}{100} + \frac{12}{10}$

f. $\frac{1}{10} + \frac{13}{100} + \frac{8}{10}$

6. Answer the following questions about a track meet.

a. Jim and Joe ran in a relay race. Jim had a time of $9.8$ seconds. Joe had a time of $10.32$ seconds. Together, how long did it take them to complete the race? Record your answer as a decimal.

b. The times of the 5 fastest runners were $7.11$ seconds, $7.06$ seconds, $7.6$ seconds, $7.90$ seconds, and $7.75$ seconds. Locate these times on the number line. Record the times as decimals and fractions. One has been completed for you.

Number line from 7 to 8 with tick marks near 7 labeled 7 11/100

c. Natalie threw a discus $32.04$ meters. She threw $3.8$ meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =.

The times of the 5 fastest runners were $7.11$ seconds, $7.06$ seconds, $7.6$ seconds, $7.90$ seconds, and $7.75$ seconds. Locate these times on the number line. Record each time as both a decimal and a fraction. One has been completed for you on the number line.

Natalie threw a discus $32.04$ meters. She threw $3.8$ meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =, and explain your reasoning.

M6: End of Module Assessment

M6: End of Module Assessment

Identify the decimal number associated with point A on the first number line.

Identify the decimal number associated with point B on the first number line.

Identify the decimal number associated with point C on the first number line.

Use >, =, or < to compare: $0.02$ ______ $0.22$. Include a brief justification using pictures, numbers, or words.

The times of the 5 fastest runners were $7.11$ seconds, $7.06$ seconds, $7.6$ seconds, $7.90$ seconds, and $7.75$ seconds. Locate these times on the number line. Record each time as both a decimal and a fraction. One has been completed for you on the number line.

Natalie threw a discus $32.04$ meters. She threw $3.8$ meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =, and explain your reasoning.

Identify the decimal number associated with point A on the first number line.

Identify the decimal number associated with point B on the first number line.

Identify the decimal number associated with point C on the first number line.

Identify the decimal number associated with point D on the second number line.

Identify the decimal number associated with point E on the second number line.

Identify the decimal number associated with point F on the second number line.

Use >, =, or < to compare: $0.02$ ______ $0.22$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $0.6$ ______ $0.60$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $17$ tenths ______ $1.7$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $1.04$ ______ $1 \dfrac{4}{10}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $0.38$ ______ $\dfrac{38}{10}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $4.05$ ______ $4 \dfrac{5}{100}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $3$ tenths + $2$ hundredths ______ $1$ tenth + $13$ hundredths. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $8$ hundredths + $7$ tenths ______ $6$ tenths + $17$ hundredths. Include a brief justification using pictures, numbers, or words.

The times of the 5 fastest runners were $7.11$ seconds, $7.06$ seconds, $7.6$ seconds, $7.90$ seconds, and $7.75$ seconds. Locate these times on the number line. Record each time as both a decimal and a fraction. One has been completed for you on the number line.

Natalie threw a discus $32.04$ meters. She threw $3.8$ meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =, and explain your reasoning.

Identify the decimal number associated with point D on the second number line.

Identify the decimal number associated with point E on the second number line.

Identify the decimal number associated with point F on the second number line.

Use >, =, or < to compare: $0.6$ ______ $0.60$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $17$ tenths ______ $1.7$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $1.04$ ______ $1 \dfrac{4}{10}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $0.38$ ______ $\dfrac{38}{10}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $4.05$ ______ $4 \dfrac{5}{100}$. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $3$ tenths + $2$ hundredths ______ $1$ tenth + $13$ hundredths. Include a brief justification using pictures, numbers, or words.

Use >, =, or < to compare: $8$ hundredths + $7$ tenths ______ $6$ tenths + $17$ hundredths. Include a brief justification using pictures, numbers, or words.