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## Big Ideas Math Book 1st Grade Answer Key Chapter 14 Equal Shares

Big Ideas Math Answer key for Grade 1 meets the content and intent of the school curriculum. By using the Big Ideas Math Grade 1 Answer Key, you can understand the topics of all chapters easily. Detailed solutions provided makes it easy for you to grab knowledge and learn the underlying concepts. Download Big Ideas Math Answers Grade 1 Chapter 14 Equal Shares pdf for free. Tap the links and practice well for the exams.

**Lesson: 1 Equal Shares**

**Lesson: 2 Partition Shapes into Halves**

**Lesson: 3 Partition Shapes into Fourths**

**Performance Task**

### Equal Shares Vocabulary

**Organize It**

Review Words:

bar graph

picture graph

Use the review words to complete the graphic organizer.

Answer:

In the above, given 2 figures the first figure indicates the bar graph and the second figure indicates the picture graph.

The number of students who like the subject math = 6

The number of students who like the subject science = 5

Explanation:

In the above, given 2 figures the first figure indicates the bar graph and the second figure indicates the picture graph.

The number of students who like the subject math = 6

The number of students who like the subject science = 5

**Define It**

Use your vocabulary cards to complete the puzzle.

Answer:

In the above-given figures, the across indicates the horizontal lines.

down indicates the vertical lines.

Explanation:

In the above-given figures, the across indicates the horizontal lines.

down indicates the vertical lines.

### Lesson 14.1 Equal Shares

**Explore and Grow**

Sort the Equal Shares Sort Cards.

Answer:

The equal shares sort cards are equal, half, third, fourth.

Explanation:

The equal shares sort cards are equal, half, third, fourth.

half = divided into 2 parts.

third = divided into 3 parts.

fourth = divided into 4 parts.

**Show and Grow**

Circle the shape that shows equal shares.

Question 1.

Answer:

Explanation:

In the above 2 given figures, the second figure is divided into equal halves

Question 2.

Answer:

Explanation:

In the above 2 given figures, the second figure is divided into equal halves

Question 3.

Answer:

Explanation:

In the above 2 given figures, the first figure is divided into equal halves

Question 4.

Answer:

Explanation:

In the above 2 given figures, the first figure is divided into equal halves

**Apply and Grow: Practice**

Circle the shape that shows equal shares.

Question 5.

Answer:

Explanation:

In the above 2 given figures, the first figure is divided into equal halves.

Question 6.

Answer:

Explanation:

In the above 2 given figures, the second figure is divided into equal halves.

Question 7.

Answer:

Explanation:

In the above 2 given figures, the second figure is divided into equal halves.

Question 8.

Answer:

Explanation:

In the above 2 given figures, the first and second figure is divided into equal halves.

Question 9.

Answer:

Explanation:

In the above-given figure, the figure is divided into 2 equal halves.

Question 10.

Answer:

The given figure is not divided into equal halves.

Explanation:

In the above-given figure, the figure is divided into 2 unequal halves.

Question 11.

**YOU BE THE TEACHER**

Newton says the shape shows equal shares. Is he correct? Explain.

Answer:

No, he was not correct.

Explanation:

The shape of the trapezoid is not equal.

**Think and Grow: Modeling Real Life**

You and your friend each design a kite. Your kite has 2 equal shares. Your friend’s has 2 unequal shares. Draw to show the parts.

Answer:

Explanation:

My kite has 2 equal shares and my friend kite has 2 unequal shares

**Show and Grow**

Question 12.

You and your friend each design a poster. Your poster has 4 unequal shares. Your friend’s has 4 equal shares. Draw to show the parts.

Answer:

Explanation:

In the above given 2 figures my friend divided the rectangle into 4 equal parts.

I divided the rectangle into 4 unequal parts.

### Equal Shares Practice 14.1

Circle the shape that shows equal shares.

Question 1.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are four boxes in each figure but in the first figure, the boxes are in equal size.

Question 2.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are four two halves in each figure but in the first figure, the boxes are not in equal size.

Question 3.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are four halves in 1st figure but in the second figure, the boxes are in equal size.

Question 4.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are four halves in 1st figure but in the second figure, the boxes are not in equal size.

Question 5.

Answer:

In the above figure, the figure shows the 4 equal halves.

Explanation:

There are four halves in the figure and, the boxes are in equal size.

Question 6.

Answer:

The square is divided into two equal halves.

Explanation:

In the above figure the square is divided into 2 parts .

But it is divided in non equal halves.

Question 7.

**MP Precision**

Descartes makes a thank you card with 4 equal shares. Which cord does Descartes make?

Answer:

1st card makes the 4 equal shares.

Explanation:

In the first figure, the word Thank you so much! makes the 4 equal shares in the same size.

In the second figure, the word Thank you so much does not make equal shares.

so the first figure is correct.

Question 8.

**Modeling Real Life**

You and your friend each design a sticker. Your sticker has 2 unequal shares. Your friend’s has 2 equal shares. Draw to show the parts.

Answer:

Explanation:

In the above heart shapes they said to draw that i has unequal shaped heart.

my friend has equal shaped heart.

**Review & Refresh**

Make quick sketches to find the sum.

Question 9.

Answer:

57

Explanation:

In the ones place the given digits are 5 + 2 = 7

In the tens place the given digits are 3+2 = 5

Question 10.

Answer:

76

Explanation:

In the ones place the given digits are 1 + 5 = 6

In the tens place the given digits are 6+ 1 = 7

### Lesson 14.2 Partition Shapes into Halves

**Explore and Grow**

Build hexagons with the paffern blocks shown. Circle the hexagon that shows 2 equal shares.

Answer:

In the above-given figures, the first figure has two equal halves.

Explanation:

In the above given 3 figures the first figure has two equal halves.

In the given 1st hexagon = 2 trapezoids

2nd hexagon = 3 parallelograms

3rd hexagon = 6 triangles

**Show and Grow**

Circle the shape that shows halves.

Question 1.

Answer:

In the above 2 figures, the ist figure shows the equal halves.

Explanation:

There are two boxes in each figure but in the first figure, the boxes are in equal size.

Question 2.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are two boxes in each figure but in the second figure, the boxes are in equal size.

Question 3.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are two boxes in each figure but in the second figure, the boxes are in equal size.

Question 4.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are two boxes in each figure but in the first figure, the boxes are in equal size.

**Apply and Grow: Practice**

Circle the shapes that show halves.

Question 5.

Answer:

In the above 4 figures, the first and the third figure shows the equal halves.

Explanation:

There are two halves in each figure but in the first and the 3rd figure, the boxes are in equal size.

Question 6.

Answer:

In the above 4 figures, the second and the fourth figure shows the equal halves.

Explanation:

There are two halves in each figure but in the second and the fourth figure, the boxes are in equal size.

Color half of the shape.

Question 7.

Answer:

Explanation:

In the above-given figure, half of the circle is filled.

Question 8.

Answer:

Explanation:

In the above-given figure, half of the box is filled.

Question 9.

Answer:

Explanation:

In the above-given figure, half of the square is filled.

Question 10.

**MP Structure**

Match each half with its whole.

Answer:

Explanation:

The semicircle can fill the circle.

The rectangle can fill the rectangle.

The square can fill the rectangle.

**Think and Grow: Modeling Real Life**

Show three ways to cut the cheese in half.

Answer:

**Show and Grow**

Question 11.

Show three ways to fold the rug in half.

Answer:

Explanation:

In the above 3 figures we can divide the rug in many different ways.

### Partition Shapes into Halves practice 14.2

Circle the shape that shows halves.

Question 1.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are two halves in each figure but in the first figure, the boxes are in equal size.

Question 2.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are two halves in each figure but in the first figure, the boxes are in equal size.

Circle the shapes that show halves.

Question 3.

Answer:

In the above 4 figures, the second and the third figure shows the equal halves.

Explanation:

There are two halves in each figure but in the second and the third figure, the boxes are in equal size.

Color half of the shape.

Question 4.

Answer:

In the above 4 figures, the first and the third figure shows the equal halves.

Explanation:

There are two halves in each figure but in the first and the third figure, the boxes are in equal size.

Color half of the shape.

Color half of the shape.

Question 5.

Answer:

Explanation:

In the above figure one part of the rectangle is filled.

Question 6.

Answer:

Explanation:

In the above figure one part of the square is filled.

Question 7.

Answer:

Explanation:

In the above figure one part of the circle is filled.

Question 8.

**YOU BE THE TEACHER**

Newton says there are only two ways to divide a rectangle into halves. Is he correct? Explain.

___________________________________________

___________________________________________

Answer:

No he was not correct.

Explanation:

rectangle can divided into 4 halves.

Question 9.

**Modeling Real Life**

Show three ways to fold the bandana in half.

Answer:

Explanation:

In the above given the figures are divided into halves.

**Review & Refresh**

Question 10.

Circle the shapes that only have a curved surface.

Answer:

cone and cylinder have a curved surface.

Explanation:

In the above-given figures, cone and cylinder have the curved surface.

### Lesson 14.3 Partition Shapes into Fourths

**Explore and Grow**

Sort the 2, 4, or Unequal Shares Sort Cards.

Answer:

**Show and Grow**

Circle the shape that shows fourths.

Question 1.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are four halves in each figure but in the first figure, the boxes are in equal size.

Question 2.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are four halves in each figure but in the second figure, the boxes are in equal size.

Question 3.

Answer:

In the above 2 figures, the second figure shows the equal halves.

Explanation:

There are four halves in each figure but in the second figure, the boxes are in equal size

Question 4.

Answer:

In the above 2 figures, the first figure shows the equal halves.

Explanation:

There are four halves in each figure but in the figure, the boxes are in equal size

**Apply and Grow: Practice**

Circle the shapes that show fourths.

Question 5.

Answer:

In the above 4 figures, the first, second, fourth figure shows fourths.

Explanation:

There are four halves in each figure but in the third figure, the boxes are in halves.

**Apply and Grow: Practice**

Color a quarter of the shape.

Question 6.

Answer:

Explanation:

In the above-given circle, one part of the circle is filled with color.

Question 7.

Answer:

Explanation:

In the above-given Rectangle, one part of the circle is filled with color.

Question 8.

**MP Precision**

Draw more lines to show fourths.

Answer:

Explanation:

In the above-given square, one part of the square is given, so we have to add 2 lines to show fourths.

Question 9.

**DIG DEEPER!**

You cut a circle into halves. Your friend cuts the same-sized circle into quarters. Who has the larger pieces? Think: How do you know?

You Friend

Answer:

I have the larger pieces.

Explanation:

My friend cuts the circle into quarts.

I cut the circle into halves.

I have the larger pieces.

**Think and Grow: Modeling Real Life**

You cut a pizza into quarters. Your friend eats 1 quarter. How many more friends could have a piece of pizza?

___________ friends

Answer:

3 friends

Explanation:

In the above-given pizza, the pizza is cut into quarters. My friend eats 1 quarter. so the remaining is 3 pieces.

3 friends have a piece of pizza

**Show and Grow**

Question 10.

You cut a granola bar into quarters. Your friend eats 2 quarters. How many more friends could have a piece of the granola bar?

___________ friends

Answer: 2 friends

Explanation:

In the above-given granola bar, the granola bar is cut into quarters. My friend eats 2 quarter. so the remaining is 2 quarters.

2 friends have a piece of a granola bar.

### Partition Shapes into Fourths practice 14.3

Circle the shape that shows fourths.

Question 1.

Answer:

In the above 2 figures, the first, second, figure fourth figure shows fourths.

Explanation:

There are four halves in each figure but in the second figure, the boxes did not have the same size.

Question 2.

Answer:

In the above 2 figures, the first, second, figure shows fourths.

Explanation:

There are four halves in each figure but in the second figure, the boxes have the same size.

Circle the shapes that show fourths.

Question 3.

Answer:

In the above 4 figures, the first, third, and fourth figure shows fourths.

Explanation:

There are four fourths in each figure but in the second figure, the boxes are divided into 2 halves.

The remaining three figures are divided into quarts.

Circle the shapes that show fourths.

Color a quarter of the shape.

Question 4.

Answer:

Explanation:

In the above-given figure, one part of the rectangle is filled with color.

Question 5.

Answer:

Explanation:

In the above-given figure, one part of the circle is filled with color.

Question 6.

**DIG DEEPER!**

Which shape shows a fourth of a circle?

Answer:

The first figure shows the fourth of a circle.

Explanation:

In the above given 2 figures, the first figure shows the fourth of a circle.

Question 7.

**MP Reasoning**

Color half of the square. How many fourths did you color?

___________ fourths

Answer:

2 fourths

Explanation:

Question 8.

**Modeling Real Life**

You cut a slice of bread into quarters. Your friend eats 3 quarters. How many more friends could have a piece of bread?

___________ friend

Answer: 1 friend

Explanation:

We cut a slice of bread into quarters.

My friend eats 3 quarters so 1 friend could have a piece of bread.

**Review & Refresh**

Draw to show the time.

Question 9.

Answer:

Explanation:

The time is 5:00

Question 10.

Answer:

Explanation:

The time is 7:30

### Equal Shares Performance Task

Question 1.

You, your friend, and your cousin are having a picnic. Use the clues to match each person with a food item.

- You bring an item that is cut into 4 unequal shares.
- Your friend brings an item that is cut into halves.
- Your cousin brings an item that is cut into quarters.
- Answer:

Explanation:

I cut the item into 4 unequal shares

my friend cut the item into 2 equal shares

my cousin cut the item into 4 equal shares

Question 2.

a. You cut an apple into 2 equal shares. You cut each share in half. How many equal shares do you have now?

_____________ equal shares

Show how you know:

Answer:

4 equal shares we have now

Explanation:

We have to cut the apple into 2 equal shares.

Again we have to cut the 2 equal shares into 2 equal halves.

b. You give your friend a fourth of the apple. How many shares do you have left?

_____________ shares

Answer:

3 shares I have left

Explanation:

The apple is cut into 4 quarters.

I gave a friend a fourth of the apple

I have the 3 shares left

### Equal Shares Chapter Practice

### Equal Shares Homework & Practice 14.1

Question 1.

___________ equal shares

Answer:

2 equal shares

Explanation:

In the above-given trapezoid, the figure is divided into 2 equal shares

Question 2.

___________ equal shares

Answer:

4 equal shares

Explanation:

In the above-given parallelogram, the figure is divided into 4 equal shares

Question 3.

**Modeling Real Life**

Newton and Descartes each design a place mat. Newton’s has 4 equal shares. Descartes’s has 4 unequal shares. Draw to show the parts.

Answer:

Explanation:

In the above figure, the first figure is divided into 4 equal shares.

The second figure is divided into 4 unequal shares.

### Partition Shapes into Halves Homework & Practice 14.2

Question 4.

Circle the shapes that show halves.

Answer:

In the above 4 figures, the first and fourth figure shows halves

Explanation:

There are two halves in each figure but in the second and fourth figure, the boxes are divided into 2 unequal halves.

The remaining three figures are divided into quarts.

Question 5.

**MP Structure**

Match each half with its whole.

Answer:

Explanation:

The triangle can fill in the square

The semicircle can fill in the circle

The square can fill in rectangle

### Partition Shapes into Fourths Homework & Practice 14.3

Question 6.

Circle the shapes that show fourths.

Answer:

In the above 4 figures, the first, second, third and fourth figure shows fourths.

Explanation:

There are four fourths in each figure but in the 1st and third figure, the boxes are divided into 4 equal fourths.

The remaining four figures are not equal divided into quarts.

Color a quarter of the shape.

Question 7.

Answer:

Explanation:

In the above-given figure, one part is filled with colour.

Question 8.

Answer:

Explanation:

In the above-given figure, one part is filled with color.

### Equal Shares Cumulative Practice

Question 1.

Shade the circle next to the equation that tells how many fewer students chose manga comics than superhero comics.

○ 5 + 8 + 2 = 15

○ 8 – 5 = 3

○ 8 – 2 = 10

○ 8 – 2 = 6

Answer: 8-5 = 3

Explanation:

3 fewer students chose manga comics than superhero comics.

Question 2.

Shade the circle next to the number that tells how many minutes are in a half hour.

○ 15

○ 30

○ 45

○ 60

Answer:

30 minutes

Explanation:

There are 60 minutes in an hour.

30 minutes in half hour

Question 3.

Shade the circle next to the shape that does not show fourths.

Answer:

In the above 4 figures, the first, second, and fourth figure shows fourths.

Explanation:

There are four fourths in each figure but in the 1st, second and fourth figure, the boxes are divided into 4 equal fourths.

The remaining third figure not divided into equal quarts.

Question 4.

Shade the circle next to the shape that has no straight sides.

Answer:

the circle has no straight sides.

Explanation:

In the above, given four figures the second figure has no straight sides.

Question 5.

Shade the circle next to the difference.

17 – 8 = ________

○ 8

○ 9

○ 10

○ 12

Answer: 9

Explanation:

17-8=9

Question 6.

Draw lines to show halves.

Answer:

Explanation:

In the above figure, the figures are divided into 2 halves

Question 7.

Write the time on the clock two ways.

Answer:

8: 30

Explanation:

The time = 8 : 30

the hour’s hand is on 8, the minute’s hand is on 6

so the time = 8: 30

Question 8.

Answer:

vertices = 7

edges = 18

flat surfaces = 3

Explanation:

The vertices in the cube = 7

The edges in the cube= 18

The flat surfaces in the cube = 3

Question 9.

Shade the circles next to the choices that match the model.

○ 7 ones

○ 2 tens + 5 ones

○ 70

○ 20 + 50

Answer:

2 tens + 5 ones

Explanation:

In the above figure the there are 2 tens and 5 ones

Question 10.

Shade the circles next to the choices that show the shapes you can use to make a .

Answer:

Trapezoid and parallelogram are used to make a hexagon

Explanation:

In the above 4 figures squares and triangles are not forming the hexagon.

Question 11.

Tell how many equal shares.

Answer:

Triangle = 2 equal shares

square = 4 equal shares

Explanation:

In the above 2 figures the triangle = 2 equal shares

square = 4 equal shares

Question 12.

A group of students are at a park. 2 of them leave. There are 4 left. How many students were at the park to start?

__________ – __________ = __________ students

Answer:

There are 6 students at the park.

Explanation:

In the above question, given that 2 of them leave.

4 are left

6-2 = 4

Question 13.

Circle the shapes that make up the structure.

Answer:

square and rectangle make the structure

Explanation:

In the above given 4 figures squares and rectangles are used to make the structure.

cylinder and cone are not used to make the structure.

*Conclusion:*

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