M6 Mid module assessment

Last updated 5 months ago

25 Nsɛmmisa

2. Decompose tenths into hundredths using the area model. Express the equivalence of tenths and hundredths with fractions and with decimals.

a. 3 tenths

Shaded area model divided into ten equal vertical bars

b. 1 and 7 tenths

First area model divided into ten equal vertical bars Second area model divided into ten equal vertical bars

M6 Mid module assessment

Last updated 5 months ago

25 Nsɛmmisa

Name ________________________________ Date ________________________

1. Write the following fractions as equivalent decimals. Then, model each decimal with the given representation.

a. $\frac{2}{10}$ = _______

Rectangle divided into ten vertical strips

b. $\frac{3}{100}$ = _______

Hundreds grid

c. $\frac{4}{10}$ = _______

Blank rectangle model

d. $\frac{46}{100}$ = _______

Hundreds grid

e. $7\frac{6}{10}$ = _______

Number line from 7 to 8 divided into tenths

7 __________________________________ 8

f. $3\frac{64}{100}$ = _______

Number line from 3.6 to 3.7 divided into hundredths

3.6 _________________________________ 3.7

g. $4\frac{7}{10}$ = _______

Place value chart with ones and tenths columns

ones • tenths

h. $5\frac{72}{100}$ = _______

Place value chart with ones, tenths, and hundredths columns

ones • tenths hundredths

2. Decompose tenths into hundredths using the area model. Express the equivalence of tenths and hundredths with fractions and with decimals.

a. 3 tenths

Shaded area model divided into ten equal vertical bars

b. 1 and 7 tenths

First area model divided into ten equal vertical bars Second area model divided into ten equal vertical bars

For 3 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

For 1 and 7 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

3. Use number bonds to complete parts (a) and (b) below:

a. Decompose $3.24$ by units.

b. Compose $0.03$, $0.5$, and $2$ as one decimal number.

Decompose $3.24$ by units using number bonds.

4. Model the following equivalence on the place value chart using place value disks.

$20$ hundredths = $2$ tenths

ones	.	tenths	hundredths

Explain and model on the place value chart why $20$ hundredths is equivalent to $2$ tenths.

5. Complete the following chart.

Unit Form	Fraction	Fraction Expanded Form	Decimal Expanded Form	Decimal
a. 1 tenth 6 hundredths
b.	$2 \dfrac{7}{10}$
c.				$6.34$
d.			$(1 \times 10) + (6 \times 1) + (5 \times 0.01)$
e.		$(2 \times 10) + (3 \times 1) + (7 \times \dfrac{1}{10}) + (8 \times \dfrac{1}{100})$

For row a, "1 tenth 6 hundredths," fill in the missing fraction, fraction expanded form, decimal expanded form, and decimal in the chart.

For row b with fraction $2 \dfrac{7}{10}$, fill in the missing unit form, fraction expanded form, decimal expanded form, and decimal in the chart.

For row c with decimal $6.34$, fill in the missing unit form, fraction, fraction expanded form, and decimal expanded form in the chart.

6. Maya puts groceries into bags. The items and their weights in kilograms are given below.

Bread	Bananas	Cheese	Carrots	Grapes	Eggs

0.25	0.34	0.56	$\dfrac{25}{100}$	$\dfrac{56}{100}$	$\dfrac{34}{100}$

a. Plot the weight in kilograms of each item on the number line below.
0 1

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

Maya packs the eggs and cheese into one of the bags. Together, these items weigh $\frac{90}{100}$ kilogram.

d. Use the area model to show that $\frac{90}{100}$ can be renamed as tenths.

100-square grid Area model divided into tenths

e. Use division to show how $\frac{90}{100}$ can be renamed as tenths.

Maya places the bread into the bag with the eggs and cheese. Together, all three items weigh 1 and 15 hundredths kilograms.

f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

Maya put the rest of the groceries in a second bag. The items in both bags weigh a total of 2 $\frac{30}{100}$ kilograms.

g. Using a model and words, explain how many tenths are in 2 $\frac{30}{100}$.

M6 Mid module assessment

M6 Mid module assessment

For 3 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

For 1 and 7 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

Decompose $3.24$ by units using number bonds.

Explain and model on the place value chart why $20$ hundredths is equivalent to $2$ tenths.

For row a, "1 tenth 6 hundredths," fill in the missing fraction, fraction expanded form, decimal expanded form, and decimal in the chart.

For row b with fraction $2 \dfrac{7}{10}$, fill in the missing unit form, fraction expanded form, decimal expanded form, and decimal in the chart.

For row c with decimal $6.34$, fill in the missing unit form, fraction, fraction expanded form, and decimal expanded form in the chart.

a. Plot the weight in kilograms of each item on the number line below.
0 1

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

d. Use the area model to show that $\frac{90}{100}$ can be renamed as tenths.

e. Use division to show how $\frac{90}{100}$ can be renamed as tenths.

f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

g. Using a model and words, explain how many tenths are in 2 $\frac{30}{100}$.

For 3 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

For 1 and 7 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

Decompose $3.24$ by units using number bonds.

Explain and model on the place value chart why $20$ hundredths is equivalent to $2$ tenths.

For row a, "1 tenth 6 hundredths," fill in the missing fraction, fraction expanded form, decimal expanded form, and decimal in the chart.

For row b with fraction $2 \dfrac{7}{10}$, fill in the missing unit form, fraction expanded form, decimal expanded form, and decimal in the chart.

For row c with decimal $6.34$, fill in the missing unit form, fraction, fraction expanded form, and decimal expanded form in the chart.

For row d with decimal expanded form $(1 \times 10) + (6 \times 1) + (5 \times 0.01)$, fill in the missing unit form, fraction, fraction expanded form, and decimal.

For row e with fraction expanded form $(2 \times 10) + (3 \times 1) + (7 \times \dfrac{1}{10}) + (8 \times \dfrac{1}{100})$, fill in the missing unit form, fraction, decimal expanded form, and decimal.

a. Plot the weight in kilograms of each item on the number line below.
0 1

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

d. Use the area model to show that $\frac{90}{100}$ can be renamed as tenths.

e. Use division to show how $\frac{90}{100}$ can be renamed as tenths.

f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

g. Using a model and words, explain how many tenths are in 2 $\frac{30}{100}$.

For row d with decimal expanded form $(1 \times 10) + (6 \times 1) + (5 \times 0.01)$, fill in the missing unit form, fraction, fraction expanded form, and decimal.

For row e with fraction expanded form $(2 \times 10) + (3 \times 1) + (7 \times \dfrac{1}{10}) + (8 \times \dfrac{1}{100})$, fill in the missing unit form, fraction, decimal expanded form, and decimal.

M6 Mid module assessment

M6 Mid module assessment

For 3 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

For 1 and 7 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

Decompose $3.24$ by units using number bonds.

Explain and model on the place value chart why $20$ hundredths is equivalent to $2$ tenths.

For row a, "1 tenth 6 hundredths," fill in the missing fraction, fraction expanded form, decimal expanded form, and decimal in the chart.

For row b with fraction $2 \dfrac{7}{10}$, fill in the missing unit form, fraction expanded form, decimal expanded form, and decimal in the chart.

For row c with decimal $6.34$, fill in the missing unit form, fraction, fraction expanded form, and decimal expanded form in the chart.

a. Plot the weight in kilograms of each item on the number line below.0 1

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

d. Use the area model to show that $\frac{90}{100}$ can be renamed as tenths.

e. Use division to show how $\frac{90}{100}$ can be renamed as tenths.

f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

g. Using a model and words, explain how many tenths are in 2 $\frac{30}{100}$.

For 3 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

For 1 and 7 tenths, decompose the tenths into hundredths using the area model and express the equivalence with fractions and with decimals.

Decompose $3.24$ by units using number bonds.

Explain and model on the place value chart why $20$ hundredths is equivalent to $2$ tenths.

For row a, "1 tenth 6 hundredths," fill in the missing fraction, fraction expanded form, decimal expanded form, and decimal in the chart.

For row b with fraction $2 \dfrac{7}{10}$, fill in the missing unit form, fraction expanded form, decimal expanded form, and decimal in the chart.

For row c with decimal $6.34$, fill in the missing unit form, fraction, fraction expanded form, and decimal expanded form in the chart.

For row d with decimal expanded form $(1 \times 10) + (6 \times 1) + (5 \times 0.01)$, fill in the missing unit form, fraction, fraction expanded form, and decimal.

For row e with fraction expanded form $(2 \times 10) + (3 \times 1) + (7 \times \dfrac{1}{10}) + (8 \times \dfrac{1}{100})$, fill in the missing unit form, fraction, decimal expanded form, and decimal.

a. Plot the weight in kilograms of each item on the number line below.0 1

b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form.

c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form.

d. Use the area model to show that $\frac{90}{100}$ can be renamed as tenths.

e. Use division to show how $\frac{90}{100}$ can be renamed as tenths.

f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction.

g. Using a model and words, explain how many tenths are in 2 $\frac{30}{100}$.

For row d with decimal expanded form $(1 \times 10) + (6 \times 1) + (5 \times 0.01)$, fill in the missing unit form, fraction, fraction expanded form, and decimal.

For row e with fraction expanded form $(2 \times 10) + (3 \times 1) + (7 \times \dfrac{1}{10}) + (8 \times \dfrac{1}{100})$, fill in the missing unit form, fraction, decimal expanded form, and decimal.

a. Plot the weight in kilograms of each item on the number line below.
0 1

a. Plot the weight in kilograms of each item on the number line below.
0 1