## Everyday Mathematics 1st Grade Answer Key Unit 8 Geometry

### Everyday Mathematics Grade 1 Home Link 8.1 Answers

**Building Shapes**

Family Note

In today’s lesson, your child used straws and twist ties to make polygons with certain attributes. Children also played the game I Spy in which the Spy names defining attributes of a shape he or she sees and the other children guess the shape.

Question 1.

Play at least 4 rounds of I Spy with someone at home. Be sure to use defining attributes. List the clues and shape below for one round.

Answer:

[Answer may Vary]

Circle, Rectangle, Square, Triangle , Polygon etc..

Explanation:

Pick any household object, such as a toy, utensil, or stuffed animal whose name the child has learned. Place the object down in front of the child on the mat, floor, or tray.

In this version of the game, the object isn’t to get the child to guess what object you’ve chosen, but rather to encourage the child to come up with the name of the object you’ve put down.

**Practice**

Question 2.

Write <, >, or =

23 32

13 + 5 18

65 43

Answer:

23 **<** 32

18 **=** 18

65 **>** 43

Explanation:

**23 < 32**

As 23 is lesser than 32 we have written < symbol in the box

Thus, 23 < 32

**18 = 18**

Given,

13 + 5 18

Adding 5 to 13 we get 18

Thus,

18 = 18

**65 > 43**

As 65 is greater than 43 we have written > symbol in the box.

Thus,

65 > 43

### Everyday Math Grade 1 Home Link 8.2 Answer Key

**Halves**

Family Note

Today your child began exploring fractions. Children divided circles and rectangles into two equal parts and identified and named halves.

Question 1.

Divide each square into 2 equal shares. Try to divide each square in a different way.

Answer:

Explanation:

If we draw a straight line in the middle of the square we divide the square into 2 equal rectangles.

If we draw a straight line diagonally we divide the square into 2 equal triangles.

Question 2.

Name one of the shares.

Answer:

Half,

1 out of 2 equal shares,

1 half

Explanation:

we divide the 1st square into 2 equal halves.

we divide the 2nd square into 2 equal shares.

**Practice**

Question 3.

Use two of the digits in each group. Write the smallest 2-digit number you can.

3, 1, 4, 5 __________

9, 7, 8, 6 _________

Answer:

Smallest digit: 13

Smallest digit: 67

Explanation:

The 2 smallest numbers from the given number group are 3 , 1 the smallest number comes first then the second smallest number comes so we get 13 as our smallest number.

The 2 smallest numbers from the given number group are 7 , 6 the smallest number comes first then the second smallest number comes so we get 67 as our smallest number.

### Everyday Mathematics Grade 1 Home Link 8.3 Answers

**Fourths**

Family Note

In the previous lesson, children divided objects into 2 equal shares. Today they divided circles and rectangles into 4 equal shares and discussed names for these shares. They also compared the sizes of the shares. They learned that larger wholes lead to larger shares, so half of a large pizza is larger than half of a small pizza. They also learned that having more shares means that each share will be smaller. So a pizza divided into 6 shares has larger shares than the same pizza divided into 8 shares.

Question 1.

Show 3 ways to divide the squares into 4 equal shares .

Answer:

Explanation:

If we draw a straight line diagonally two sides we will get 4 equal shares.

Draw a vertical and horizontal line in the square box we will get 4 equal shares.

By dividing the square into 4 fourths we will get 4 equal shares.

Question 2.

Name one of the parts.

Answer:

Quarter

Fourth

One out of four equal shares

1 fourth

1 quarter

Explanation:

Cut an apple into four equal parts.

Each part is known as a quarter or 1 fourth.

**Practice**

Question 3.

How many more action figures are there than dolls?

__________ more action figures

Answer:

There are 5 more action figures

Explanation:

By subtracting the number of dolls from the number of action toys we get how many more action figures are there:

No. of Action figures = 12

No. of dolls = 7

No. of Action figures – No. of dolls

12 – 7 = 5

### Everyday Math Grade 1 Home Link 8.4 Answer Key

**More Equal Shares**

Family Note

Today your child learned more about equal shares. Children made drawings of squares and divided them into halves and fourths. Then they used the drawings to determine that one-half is larger than one-fourth of the same-size shape.

Question 1.

Pretend the circle is an orange slice. Divide it into two equal parts.

Name one of the parts.

_______________

Answer:

Name one of the parts : half,

1 out of 2 parts,

one-half,

1 half

Explanation:

On drawing a line passing through the middle of the circle we get 2 equal parts.

As in the figure below:

Question 2.

Pretend the circle is another orange slice. Divide it into four equal parts.

Name one of the parts.

________________

Answer:

Name one of the part: Quarter,

fourth,

1 out of 4 parts,

one-fourth,

one-quarter,

1 fourth

Explanation:

On drawing a line passing through the middle of the circle we get 2 equal parts.

On dividing the 2 parts again we get 4 quarters

As in the figure below:

Question 3.

Which is bigger: 1 out of 2 equal parts of an orange slice, or 1 out of 4 equal parts?

Answer:

Bigger part : 1 out of 2 equal parts of an orange slice.

Tell someone at home how you know.

Explanation:

As we can see in the figure below

Bigger part is 1 out of 2 equal parts of an orange slice

**Practice**

Question 4.

4 + _________ = 11

Answer:

4 +** 7** = 11

Explanation:

Let assume blank as x :

4 + x = 11

Taking 4 to the right hand side we get:

x = 11 – 4

on solving we get:

x = 7

Question 5.

_______ + 6 = 14

Answer:

**8** + 6 = 14

Explanation:

Let assume blank as x :

x + 6 = 14

Taking 6 to the right hand side we get:

x = 14 – 6

on solving we get:

x = 8

### Everyday Mathematics Grade 1 Home Link 8.5 Answers

**Composing Shapes**

Family Note

Today your child used shapes such as triangles, squares, trapezoids, half circles, and quarter circles to make new shapes and designs.

Question 1.

Cut out the four shapes from the side of the page.

Use two or more shapes to fill one triangle. Trace around the pieces to show how they fit together. Then use different shapes to fill the other triangle.

Answer:

Explanation:

First cut out the shapes from the paper like in the figure below:

Then trace out the figures which fit in the triangle:

**Practice**

Question 2.

Find 3 shapes that have 4 straight sides in your home. Draw them on the back of this page.

Answer:

Explanation:

Find 3 shapes that have 4 straight sides in your home.

Draw them on the back of this page. like in the picture below:

### Everyday Math Grade 1 Home Link 8.6 Answer Key

**Defining Attributes of 3-Dimensional Shapes**

Family Note

Throughout Unit 8, your child has been working with shapes. Today children learned about defining and nondefining attributes of 3-dimensional shapes.

Find an object around the house that is shaped like a cube.

Question 1.

What is the object?

Answer:

Lego block (Cube)

Explanation:

A **cube** has 6 **faces**, 12 **edges and** 8 **vertices**. A **cuboid** has 6 **faces**, 12 **edges and** 8 **vertices**.

Question 2.

How many faces does it have?

Answer:

6

Explanation:

A **cube** has 6 **faces**, 12 **edges and** 8 **vertices**. A **cuboid** has 6 **faces**, 12 **edges and** 8 **vertices**.

on counting the each faces we get 6 as shown in the picture below:

Question 3.

What color is it?

Answer:

Red

Explanation:

The color is red

Question 4.

What shape are its faces?

Answer:

Square

Explanation:

A **square** is closed, two-dimensional **shape** with 4 equal sides.

We can find the **shape** of a **square** in a game board or chess board, a wall clock and in a slice of bread, around us.

Question 5.

What is it made of?

Answer:

Plastic

Explanation:

The Lego block is made up of plastic.

Question 6.

Which answers are true for all cubes?

Answer:

2nd question and 4th questions are true for all cubes.

**Practice**

Question 7.

Draw a polygon with 4 sides and 4 corners.

Answer:

Explanation:

A polygon has 4 sides and 4 corners

### Everyday Mathematics Grade 1 Home Link 8.7 Answers

**Composing Shapes and Fact Strategies**

Family Note

Today children explored composing larger shapes from smaller shapes. They also sorted Fact Triangles based on the strategy they could use to solve the facts. Two strategies were emphasized: near doubles and making 10. There is no rule for when to use a certain strategy; your child should use what works best for him or her.

Question 1.

How can you solve 6 + 7 using the near-doubles strategy?

Answer:

6 + 7 = 13

Explanation:

By adding 6 to 7 we get 13

In near-doubles strategy we double the small number and add the rest of the number to it

First divide the big number into the smaller number and its addend like below:

Now add the first number to 6:

6 + 6 = 12

Again we have doubled the number add the other number to it:

12 + 1 = 13

Therefore we get 6 + 7 = 13 using near-double strategy.

Question 2.

How can you solve 6 + 7 using the making-10 strategy?

Answer:

6 + 7 = 13

Explanation:

By adding 6 to 7 we get 13

Using – 10 strategy

The number 6 needs 4 to make it into 10 so we divided 7 into 4 and 3

Then first add 4 to 6 to make it 10

6 + 4 = 10

Again add the other number 3 to 10

10 + 3 = 13

We get 13 [ 6 + 7 = 13]

Question 3.

Which strategy is easier for you? Explain.

Answer:

Near-double strategy is easy for me.

Explanation:

As in Near-double strategy we can easily double the number and add the addend to it whereas in making-10 strategy we have to calculate and divide the number to make the smaller number into 10.

**Practice**

Question 4.

Pedro painted 12 pictures. He gave some away. Now he has 5. How many pictures did Pedro give away?

________ pictures

Number model: ___________

Answer:

7;12-7=5

Explanation:

Total pictures painted by Pedro were 12

No of pictures left with him were 5

By subtracting 5 from 12, we get 7

So no of pictures did Pedro give away are 7

### Everyday Math Grade 1 Home Link 8.8 Answer Key

**Telling Time to the Half Hour**

Family Note

Today your child began telling time to the nearest half hour on analog and digital clocks. Work together to complete these pages. Tell your child at which times, on the hour or half hour, he or she wakes up and goes to bed on school days. Have your child practice telling the time at home when it is close to the hour or half hour.

Record the time.

Question 1.

_________ o’clock

Answer:

5 o’ clock

Explanation :

As the hour hand is on 5 and minuets hand on 12 we get the time as 5 o’ clock.

Question 2.

half-past _________ o’clock

Answer:

half-past 7 o’ clock

Explanation :

As the minutes hand is on 6 it means 6 x 5 = 30 minutes have past 7 o’ clock.

i.e. the time is half-past 7 o’ clock.

Question 3.

Answer:

Explanation :

As the minutes hand is on 6 that means 6 x 5 = 30 minutes have past 7 o’ clock So we get the time as 2:30.

Question 4.

Answer:

Explanation :

As the minutes hand is on 6 and the hour hand is between 9 and 10 we get time as 9:30.

Draw the hour hand and the minute hand to show the time. Then write the time.

Question 5.

This is about the time I wake up on a school day

Answer:

I wake up at 8 o’clock on a school day.

Explanation:

First draw the hour hand(shorter hand) on 8.

Then draw the minute hand(longer hand) on 12.

write the time in the digital clock and draw the time on the analog clock like in the picture below:

Question 6.

This is about the time I go to bed on a school night.

Answer:

I go to bed at 9 o’ clock on a school night.

Explanation:

First draw the hour hand(shorter hand) on 9.

Then draw the minute hand(longer hand) on 12.

write the time in the digital clock and draw the time on the analog clock like in the picture below:

**Practice**

Question 7.

Alex has 3 baseballs, 4 marbles, and 5 pencils. How many spheres does Alex have?

___________ spheres

Number model: ___________

Answer:

7

Sample number model 7= 3+4

Explanation:

A **sphere** is a round, ball-**shaped** solid. It has one continuous surface with no edges or vertices.

Alex has 3 baseballs and 4 marbles are **sphere **whereas 5 pencils are not spheres.

So, Sample number model 7= 3+4.

### Everyday Mathematics Grade 1 Home Link 8.9 Answers

**Review: Data**

Family Note

Today your child’s class took a survey. After everyone answered the survey, children totaled the results and displayed the data on a bar graph. The survey results below are similar to what children used in class today. Work with your child to make a bar graph and to answer the questions.

A class took a survey about their favorite subjects.

Question 1.

Complete the bar graph.

5 children liked Reading best.

6 children liked Math best.

2 children liked Spelling best.

Answer:

Explanation:

5 children like reading best so we have colored 5 bars.

6 children liked Math best so we have colored 6 bars.

2 children liked Spelling best so we have colored 2 bars.

Question 2.

How many children took the survey?

Answer:

13 Children

Explanation:

13 children took the survey

5 + 6 + 2 = 13

Question 3.

How many more children chose Math than Spelling?

Answer:

4 Children

Explanation:

4 more children chose Math than Spelling.

6 children liked Math best

2 children liked Spelling best

thus On subtracting 2 from 6 we get 4.

**Practice**

Question 4.

Draw lines to divide the square into fourths.

Answer:

Explanation:

Draw a line dividing the square into 4 fourths like shown in the picture below

### Everyday Math Grade 1 Home Link 8.10 Answer Key

**Number-Grid Puzzles**

Family Note

Ask your child to show you how to complete the number-grid puzzles below. Encourage him or her to explain number-grid patterns that are helpful for solving the problems. For example, if you move up one row, the digit in the tens place is 1 less.

Show someone at home how to fill in the missing numbers.

Question 1.

Answer:

Explanation:

If you move up one row, the digit in the tens place is 1 less.

If you move down one row, the digit in the tens place is 1 increases.

So,

If you move **53 **up one row, the digit in the tens place is 1 less.

(5-1)tens+3digits=43

If you move **53** down one row, the digit in the tens place is 1 increases.

(5+1)tens+3digits=63

Likewise

(6+1)tens+3digits=73

(7+1)tens+3digits=83

Question 2..

Answer:

Explanation:

If you move right one row, the digit in the units place is 1 increases.

If you move down one row, the digit in the tens place is 1 increases.

So,

If you move **2****3 right** one row, the units place is 1 increases.

2tens+(3+1)digits=24

Likewise

2tens+(4+1)digits=25

If you move **2****3** down one row, the digit in the tens place is 1 increases.

(2+1)tens+3digits=33

If you move **43** down one row, the digit in the tens place is 1 increases.

(4+1)tens+3digits=53

Likewise

(5+1)tens+3digits=63

(6+1)tens+3digits=73

6tens+(3+1)digits=64

Question 3.

Answer:

Explanation:

If you move up one row, the digit in the tens place is 1 less.

If you move right one row, the digit in the units place is 1 increases.

If you move left one row, the digit in the units place is 1 less.

If you move down one row, the digit in the tens place is 1 increases.

So,

If you move **79**** right** one row, the units place is 1 increases.

7tens+(9+1)digits=80

Likewise

8tens+(9+1)digits=90

If you move **79**** left **one row, the units place is 1 less.

7tens+(9-1)digits=78

Likewise

8tens+(9-1)digits=88

If you move **79 **up one row, the digit in the tens place is 1 less.

(7-1)tens+9digits=69

Likewise

(6-1)tens+9digits=59

If you move **79** down one row, the digit in the tens place is 1 increases.

(7+1)tens+9digits=80

Question 4.

Answer:

Explanation:

If you move up one row, the digit in the tens place is 1 less.

If you move right one row, the digit in the units place is 1 increases.

If you move left one row, the digit in the units place is 1 less.

If you move down one row, the digit in the tens place is 1 increases.

So,

If you move **14 right** one row, the units place is 1 increases.

1tens+(4+1)digits=15

If you move **14 **down one row, the digit in the tens place is 1 increases.

(1+1)tens+4digits=24

Question 5.

Answer:

Explanation:

If you move up one row, the digit in the tens place is 1 less.

If you move right one row, the digit in the units place is 1 increases.

If you move left one row, the digit in the units place is 1 less.

If you move down one row, the digit in the tens place is 1 increases.

So,

If you move **57 right** one row, the units place is 1 increases.

5tens+(7+1)digits=58

If you move **90** up one row, the digit in the tens place is 1 less.

(9-1)tens+0digits=80

**Practice**

Question 6.

_________

Answer:

40

Explanation:

Each row has 10 blocks

So 7 rows (70 blocks) and 3 rows (30 blocks)

i.e. 70-30=40

### Everyday Mathematics Grade 1 Home Link 8.11 Answers

**Mentally Finding 10 More and 10 Less**

Family Note

In earlier lessons, children used classroom tools, such as a number grid, base-10 blocks, and dimes, to help them add and subtract 10 from a given number. Today they made calculations mentally, using only their brains. Work with your child on adding and subtracting 10 mentally. Have your child do the routine below several times.

Ask someone at home to say any number between 10 and 99. Record the number and fill in the blanks after it two times below.

Question 1.

Number: _________

There are _________ tens and _________ ones in _________.

10 more than _________ is _________. 10 less than _________ is _________.

Answer:

Number: 55

There are **5 **tens and **5 **ones in **55.**

**10 **more than** 45** is** 55. **10 less than **65 **is **55.
**Explanation:

For Example if we take a number “55”.

In 55 we have five tens and 5 ones.

By adding 45 to 10 we get 55.

By subtracting 10 from 65 we get 55.

Question 2.

Number: _________

There are _________ tens and _________ ones in _________.

10 more than _________ is _________. 10 less than _________ is _________.

Answer:

Number: 35

There are **3**** **tens and **5 **ones in **3****5.**

**10 **more than** 25** is** 35. **10 less than **4****5 **is **3****5.
**Explanation:

For Example if we take a number “35”.

In 35 we have five tens and 5 ones.

By adding 25 to 10 we get 35.

By subtracting 10 from 45 we get 35.

**Practice**

Question 3.

Elaine’s farm has 4 cows, 2 goats, and 8 chickens. How many animals are there all together?

__________ animals

_________ + _________+ _________ = _________

Answer:

4+2+8=14 animals

Explanation:

Given

In an Elaine’s Farm,

No of cows = 4

No of goats = 2

No of chickens = 8

Total animals in Elaine’s farm= 4+2+8=14