MathMammoth_Grade1A.pdf

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EDITION 1.8

All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, or by any information storage and retrieval system, without permission in writing from the author.

Copying permission: Permission IS granted for the teacher to reproduce this material to be used

with students, not commercial resale, by virtue of the purchase of this book. In other words, the teacher MAY make copies of the pages to be used with students. Permission is given to make electronic copies of the material for back-up purposes only.

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Foreword

The Math Mammoth Grade 1-A and Grade 1-B worktexts comprise a complete math curriculum for the first grade mathematics studies.

The main topics during first grade are the concepts of addition and subtraction, addition and subtraction facts, and place value till 100. Other topics studied are clock to the half hour, measuring length in inches and centimeters, shapes, and coins.

When you use these books as your only or main mathematics curriculum, they can be like a “framework”, but you still have a lot of liberty in planning your child's studies. While

addition and subtraction topics are best studied in the order they are presented, feel free to go through the geometry, clock, and money sections in a different order.

This might even be advisable if your child is “stuck” on some concept, or is getting bored. Sometimes the brain “chews the cud” in the background, and the concept he/she was stuck on can become clear after a break.

This curriculum aims to concentrate on a few major topics at a time, and study them in depth. This is totally opposite to the continually spiraling step-by-step curricula, in which each lesson typically is about a different topic from the previous or next lesson, and includes a lot of review problems from past topics.

This does not mean that your child wouldn't need occasional review. However, when each major topic is presented in its own chapter, this gives you more freedom to plan the course of study and choose the review times yourself.

In fact, I totally encourage you to plan your mathematics school year as a set of certain topics, instead of a certain book or certain pages from a book.

For review, I have included an html page called Make_extra_worksheets_grade1.htm that you can use to make additional worksheets for computation or for number charts. You can also always simply reprint some already studied pages. Also, the third chapter that practices addition and subtraction facts contains a lot of pages with problems, so you can choose to “save” some of them for later review.

I wish you success in your math teaching! Maria Miller, the author

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Chapter 0: Kindergarten Math Review

Introduction

This chapter is optional, and can be used to review the most important concepts of kindergarten math:  writing the numerals 0 to 9;

 counting up to 20;

 position words, color words, and some shapes (circle, triangle, square)  simple patterns

The Lessons in Chapter 0

page span Equal Amounts; Same and Different ... 7 1 page

Writing Numbers ... 8 2 pages

Counting ... 10 2 pages

Position Words, Colors, and Shapes ... 12 2 pages

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Equal Amounts; Same and Different

1. Write an X for each thing in the other box.

2. Color the shapes that are the same as the first shape.

a. _b. c. d. e. f.

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Writing Numbers

1. Write the number.

2. Count and write the number.

a. b. c. d. e. f.

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3. Write the number.

4. Count and write the number.

a. b. c. d. e. f.

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Counting

1. Count. Write the number in the box.

2. Count. Write the number. Then circle the number that is MORE.

a. b. c. d. e. f. g. h. a. b. c. d.

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3. Write the missing number below the number line.

a.

b.

c.

4. Circle the group that has more things. Then count ALL (both groups).

Write the number in the box below.

a. _b. _c.

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Position Words, Colors, and Shapes

1. a.

Color RED

the top shape.

b.

Color BLUE

the bottom shape.

c.

Color YELLOW

the middle shape.

2. a.

Color GREEN the shape on the right.

b.

Color BLUE the shape in the middle.

c.

Color YELLOW the shape on the left.

d.

Color ORANGE two shapes

on the right.

e.

Color PURPLE two shapes

on the left.

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3. a.

Color GREY

two bottom shapes.

b.

Color BROWN

two middle shapes.

c.

Color BLACK

two top shapes.

4. a.

Color GREEN

all the circles.

b.

Color ORANGE

all the triangles.

c.

Color PURPLE

all the squares.

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Patterns

1. Continue the pattern for one more shape.

2. Continue counting up or down.

1 2 3 4 5

10 9 8 7 6

a. b. c. d. e. f. g.

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Chapter 1: Addition Within 0-10

Introduction

The first chapter of the Math Mammoth Grade 1-A Complete Worktext covers the concept of addition, and addition facts within 0-10.

The chapter starts out with very easy addition problems within 0-5, using pictures. If the student does not yet know the symbols “ + ” and “ = ”, you can introduce them orally at first. Use blocks or rocks to make addition problems where you say: “Three blocks and four blocks makes seven blocks. Three blocks PLUS

four blocks EQUALS seven blocks.” Play like that until the child can use the words PLUS and EQUALS

in his/her own speech. This will make it easier for him/her to use the written symbols.

Soon the lessons start including “missing addend” problems. This means problems such as 1 + ___ = 5 or ___ + 3 = 8, where a number to be added is missing. First, we use pictures, and then gradually use

symbols only. I feel problems with the missing addends are very important, as they lead the students to learn the connection between addition and subtraction.

Keep in mind that children may confuse this problem with 1 + 5 = ___ . To help the children see the difference, you can word these problems like this: “One and how many more makes five?” You can model them by drawing. First draw one ball. Tell the child that we need a total of five balls. He/she needs to draw more until there are five balls.

In the missing addend problem (1 + ___ = 5), however many balls the child draws is the number that goes on the empty line. So, first there is one ball, then we need to add (draw) some more to make 5. How many more were drawn?

After that, the chapter contains many lessons called Sums with... whose goal is to help the child memorize addition facts.

My approach to memorization is many-fold:

1. Structured drill, such as you see in the lessons Sums with 5, Sums with 6, and so on. This is not random drills, because you will start by showing the pattern or the structure in the facts. This will help the student to tie the addition facts in with a context and help him/her understand the facts more on a conceptual level, instead of merely memorizing them at random. In Sums with 5, the child learns the number combinations that add up to 5: 0 and 5, 1 and 4, and 2 and 3. This understanding is the basis for the drills.

2. Using addition facts in games, in math problems, everyday life, or anywhere else. Games are especially useful because they help children like mathematics.

3. Random drilling may also be used as a tool among others.

4. Memory helps such as silly mnemonics or writing math facts on a poster and hanging it on the wall. These are not needed for all children.

However, keep in mind that children will need LOTS of opportunities to add numbers to actually

memorize the facts, so the memorization may not totally occur as your child works through this chapter. These same addition facts are further studied and used in the next chapters about subtraction, and in all later math work since they are constantly used. At the latest, your child should memorize addition facts during second grade, as recommended by the National Council of Teachers of Mathematics (NCTM).

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Games

10 Out (or 5 Out or 6 Out etc.)

You need: lots of number cards with numbers 1-10, such as regular playing cards without the picture

cards, Uno cards without the special cards, etc.

Rules: Deal seven cards to each player. Place the rest in a stack in the middle, face down.

At his turn, each player may first take one card from the deck. Then, each player may ask for one card from the player on their right (like in 'Go Fish'), and the person has to give it if he has it. Then the player may discard any two cards in his hand that add up to 10, or the card 10 itself.

The player who first discards all cards from his hand, wins.

Adaptations:

* Deal more cards instead of seven.

* Deal fewer cards if there are very many players or the players are young. * Allow players to discard three cards that add up to 10.

* Instead of ten, players discard cards that add up to 9, 8, 11, or some other number. Use the picture cards for 11, 12, and 13.

Some Went Hiding

You need: As many small objects as is the sum you're studying. For example, to study the sums with 5,

you need 5 marbles, or 5 blocks, etc.

Rules: The first player shows the objects, and quickly hides SOME behind his/her back without

showing how many. Then he/she shows the remaining objects to the next player, who has to tell how many went hiding. If the player gives the right answer, it is then his/her turn to hide some and ask the next player to answer. If he gives the wrong answer, he misses his turn. This game appeals best to young children.

Adaptations:

* Instead of getting a turn, the player may gain points or other rewards for the right answer.

Addition Battle

You need: A standard deck of playing cards from which you remove the picture cards, and perhaps

also some of the other higher number cards such as tens, nines, and eights. Alternatively, a set of dominoes works well for children who don't yet know their numbers beyond 12.

Rules: In each round, each player is dealt two cards face up, and has to calculate the sum. The player

with the highest sum gets all the cards from the other players. After enough rounds so that all of the cards are used, the player with the most cards wins.

If there is a tie, such as two players have the sum of 11, those players get an additional two cards and “battle” with those to resolve the tie.

Adaptations:

* This game is easily adapted for subtraction, multiplication, and fractions. You can also use dominoes instead of two playing cards.

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The Lessons in Chapter 1

Helpful Resources on the Internet

Use these free online resources to supplement the “bookwork” as you see fit.

Addition Exercise from Dositey.com

Write how many worms are on two leaves, and how many together. http://www.dositey.com/addsub/addex1.htm

Children's Addition Quiz

A set of five interactive addition problems that you answer online.

http://www.thegreatmartinicompany.com/Math-Quick-Quiz/addition-kid-quiz.html

Number Bond Machines

Practice which two numbers add up to a given number.

http://www.amblesideprimary.com/ambleweb/mentalmaths/numberbond.html

Save the Whale

Find how much the given “pipe” length is missing from 10 and save the whale. http://www.ictgames.com/save_the_whale_v4.html

page span Two Groups and a Total ... 19 3 pages

Learn Symbols “ + ” and “ = ” ... 22 3 pages

Addition Practice 1 ... 25 2 pages

Which is More? ... 27 2 pages

Missing Items ... 29 5 pages

Sums with 5 ... 35 2 pages

Adding on Number Line ... 38 4 pages

Addition Practice 2 ... 48 3 pages

Comparisons ... 59 3 pages

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Exuberant Eye Games

Practice your basic facts with these kid-appealing simple games. http://www.games.exuberanteye.com/

Children' Compare Numbers from Mr. Martini's Classroom

Compare two numbers. Press the number below to choose the biggest number that will appear. http://www.thegreatmartinicompany.com/Children-Math/compare-number.html

Addition and Subtraction Game from The Little Animals Activity Centre

Solve simple addition and subtraction problems by clicking on the ladybug with the right answer. http://www.bbc.co.uk/schools/laac/numbers/chi.shtml

Number Line Arithmetic

Use this virtual manipulative to illustrate addition on a number line http://nlvm.usu.edu/en/nav/frames_asid_156_g_1_t_1.html

Line Jumper

Addition questions on a number line.

http://www.funbrain.com/funbrain/linejump/index.html

Sum Stacker

Drag dies from stack to stack until the sums of each stack equal the sums given. http://www.carstensstudios.com/mathdoodles/sumsstacker.html

Fun 4 the Brain

Practice basic addition with these games. http://www.fun4thebrain.com/addition.html

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Two Groups and a Total

1. Make two groups.

2. Make two groups. Write how many are in the second group. a.

4 1 and 3

b.

4 2 and 2

c.

4 3 and 1

d.

5 3 and 2

e.

5 2 and 3

f.

5 1 and 4

a.

4 1 and _____

b.

4 2 and _____

c.

4 3 and _____

d.

5 4 and _____

e.

5 3 and _____

f.

5 2 and _____

g.

5 1 and _____

h.

5 5 and _____

i.

5 0 and _____

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3. Draw as many dots as the number shows. Then make two groups however you like. Write how many are in each group.

4. The number at the top is the total. Draw the missing dots on the empty die face. Write on the lines how many dots are on each die face.

a.

3 _ and _

b.

5 _ and _

c.

4 _ and _

d.

2 _ and _

e.

6 _ and _

f.

8 _ and _

a.

3 _ and _

b.

6 _ and _

c.

5 _ and _

d.

4 _ and _

e.

6 _ and _

f.

5 _ and _

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5. Write how many are in each group. Write the total in the box.

6. Draw circles for each number. Write the total in the box.

“Two and two makes four.”

2 and 2

4

“One and four makes five.”

1 and 4

5

a.

____

and

____

b.

____

and

____

c.

____

and

____

d.

____

and

____

e.

____

and

____

f.

____

and

____

g.

____

and

____

h.

____

and

____

i.

____

and

____

a.

2 and 2

b.

3 and 1

c.

3 and 3

d.

1 and 4

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Learn Symbols + and =

1. Fill in the numbers. Add. Read the additions aloud using “plus” and “equals”.

3 +

2 =

5

THREE plus TWO equals FIVE

1 +

3 =

4

ONE plus THREE equals FOUR

a.

1 +

3 =

b.

______

+

______

=

c.

______

+

______

=

d.

______

+

______

=

e.

______

+

______

=

f.

______

+

______

=

g.

______

+

______

=

h.

______

+

______

=

i.

______

+

______

=

j.

______

+

______

=

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2. Write the numbers. Add. Read the additions aloud using “plus” and “equals”.

3. Add with zero.

a.

______

+

______

=

b.

______

+

______

=

c.

______

+

______

=

d.

______

+

______

=

2 + 0

= _____

a.

___ + _ = ___

b.

___ + _ = ___

c.

___ + _ = ___

d.

___ + _ = ___

e.

___ + _ = ___

f.

___ + _ = ___

g.

___ + _ = ___

h.

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4. Write how many dots. Then add. a.

___ + _ = ___

b.

___ + _ = ___

c.

___ + _ = ___

d.

___ + _ = ___

e.

___ + _ = ___

f.

___ + _ = ___

g.

___ + _ = ___

h.

___ + _ = ___

i.

___ + _ = ___

j.

___ + _ = ___

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Addition Practice 1

1. In the second box, draw more to show the second number. Then add.

2. Draw dots in each box for the numbers. Then add.

2 + 1 = ______

a.

3 + 2 = ______

b.

1 + 2 = ______

c.

4 + 1 = ______

d.

2 + 3 = ______

e.

0 + 4 = ______

f.

2 + 2 = ______

g.

1 + 0 = ______

h.

3 + 1 = ______

i. a.

2 + 2 = ______

b.

1 + 3 = ______

c.

0 + 5 = ______

d.

4 + 1 = ______

e.

2 + 3 = ______

f.

1 + 3 = ______

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3. Add. If you want to, you can draw balls or sticks to help you.

4. Add both ways! You can draw marbles to help.

a.

1 + 2 = ______

b.

3 + 0 = ______

c.

2 + 2 = ______

d.

2 + 3 = ______

e.

1 + 4 = ______

f.

0 + 5 = ______

g.

3 + 2 = ______

h.

2 + 1 = ______

i.

4 + 1 = ______

aa.

2 + 3 = 5

3 + 2 = 5

b.

1 + 2 = ______

2 + 1 = ______

c.

3 + 1 = ______

1 + 3 = ______

d.

1 + 4 = ______

4 + 1 = ______

e.

0 + 2 = ______

2 + 0 = ______

f.

5 + 0 = ______

0 + 5 = ______

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Which is More?

1. Practice writing < and > .

2. Circle the bigger number. Read using “less than” and “greater than”.

3. Circle the bigger number. Read using “less than” and “greater than”. The symbols < and > are like a “hungry alligator's mouth”.

The mouth always opens towards the bigger number.

1 < 4

One is less than four.

< means “LESS THAN”.

5 > 3

Five is greater than three.

> means “GREATER THAN”.

a.

1 < 3

“1 is less than 3.” b.

2 < 5

“2 is less than 5.” c.

5 > 3

“5 is greater than 3.” d.

6 > 2

e.

4 > 1

f.

2 < 4

a.

6 > 0

e.

1 < 2

b.

3 < 4

f.

2 > 1

c.

4 < 5

g.

3 < 5

d.

4 > 3

h.

0 < 4

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4. Write < or > in the box.

5. Write < or > between the numbers. You can draw circles to help you.

6. Write < or > between the two numbers.

a.

1

4

b.

2

5

c.

6

3

d.

3

4

e.

5

1

f.

2

3

a.

1

4

b.

4

3

c.

2

5

d.

0

4

a.

1

4

e.

1

2

i.

3

5

b.

4

5

f.

3

1

j.

1

0

c.

2

4

g.

5

4

k.

2

5

d.

5

3

h.

4

6

l.

0

2

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Missing Items

1. Draw more dots for the addition. Write the missing number. The total is on top. Something is missing from the addition.

The TOTAL is not missing. The total is 5.

How many are in the second group? That's what is missing!

There should be a total of 5 dots. Draw 4 in the second die face.

5 +

1 + ______

There should be a total of 4 dots. The second die face has two. There are none in the first die face, so you need to draw them. Read: “2 plus what number makes 4?”

or, “2 and how many more makes 4?” or, “What number and 2 makes 4?”

4 +

______ + 2

3 +

a.

1 + _____

3 +

b.

2 + _____

5 +

c.

_____ + 4

5 +

d.

3 + _____

5 +

e.

_____ + 2

4 +

f.

_____ + 3

5 +

g.

5 + _____

4 +

h.

_____ + 1

4 +

i.

_____ + 2

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2. Draw more dots to show the missing number. Write the missing number.

+

3 + _____ = 5

The TOTAL is now written after the equal sign “ = ”.

The answer is 3 + 2 = 5

+

_____ + 3 = 4

See the TOTAL written after the equal sign “ = ”.

The answer is 1 + 3 = 4 a.

+

2 + _____ = 4

b.

+

1 + _____ = 1

c.

+

_____ + 1 = 5

d.

+

3 + _____ = 5

e.

+

_____ + 1 = 4

f.

+

2 + _____ = 3

g.

+

5 + _____ = 5

h.

+

_____ + 1 = 3

i.

+

2 + _____ = 5

j.

+

1 + _____ = 5

k.

+

_____ + 2 = 2

l.

+

3 + _____ = 4

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3. Draw more dots in the empty box for the missing number. Read the problems aloud: “2 plus how many makes 4?”

4. Draw dots in the boxes for the missing numbers. Notice that some groups are supposed to have zero dots.

a.

2 + ______ = 4

+ b.

4 + ______ = 4

+ c.

______ + 3 = 4

+ d.

2 + ______ = 5

+ e.

______ + 1 = 3

+ f.

______ + 4 = 5

+

There are no dots in either die face.

The first die face is missing the dots. The second die face is supposed to have none, since there is a zero below it.

Draw 4 dots in the first die face, because 4 + 0 = 4 .

+

______ + 0 = 4

a.

0 + ______ = 4

+ b.

2 + ______ = 2

+ c.

______ + 0 = 3

+ d.

3 + ______ = 3

+ e.

______ + 0 = 2

+ f.

0 + ______ = 1

+

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5. Draw dots to illustrate each addition problem. Find what number is missing.

6. Solve. You can draw dots to help you. Remember, the number after the “ = ” sign is the total. a.

4 + ______ = 5

+ b.

1 + ______ = 2

+ c.

______ + 3 = 5

+ d.

3 + ______ = 4

+ e.

2 + ______ = 3

+ f.

______ + 2 = 4

+ g.

1 + ______ = 5

+ h.

______ + 1 = 4

+ i.

3 + ______ = 3

+ a.

2 + ______ = 5

b.

______ + 2 = 4

c.

______ + 1 = 3

d.

______ + 3 = 3

e.

3 + ______ = 5

f.

0 + ______ = 2

g.

3 + ______ = 4

h.

______ + 2 = 4

i.

______ + 1 = 5

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7. Practice “normal” addition.

8. Find the missing number. The marbles illustrate the total. Notice the patterns! a.

1 + 1 = ______

2 + 1 = ______

b.

4 + 0 = ______

3 + 1 = ______

c.

1 + 4 = ______

2 + 2 = ______

d.

2 + 3 = ______

1 + 4 = ______

e.

0 + 5 = ______

1 + 2 = ______

f.

3 + 2 = ______

4 + 1 = ______

a.

0 + ______ = 3

1 + ______ = 3

2 + ______ = 3

3 + ______ = 3

b.

0 + ______ = 4

1 + ______ = 4

2 + ______ = 4

3 + ______ = 4

4 + ______ = 4

c.

0 + ______ = 5

1 + ______ = 5

2 + ______ = 5

3 + ______ = 5

4 + ______ = 5

5 + ______ = 5

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Sums with 5

1. Five elephants are grouped into two groups, in different ways. The “

|

” symbol separates the two groups. Write the addition sentences.

2. Add.

3. Play “5 Out” and/or “Some Went Hiding” with 5 objects (see the introduction).

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

a.

4 + 1 = ______

2 + 2 = ______

3 + 2 = ______

1 + 2 = ______

b.

2 + 3 = ______

1 + 3 = ______

1 + 4 = ______

2 + 1 = ______

c.

1 + 1 = ______

0 + 5 = ______

1 + 4 = ______

3 + 2 = ______

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4. Drill. Don't write the answers in the boxes, but just think them in your head.

5. Draw more and compare the problems in each group.

6. Draw more things to illustrate the missing number. Write the addition sentence.

1 + = 5

2 + = 5

0 + = 5

4 + = 5

3 + = 5

5 + = 5

+ 2 = 5

+ 0 = 5

+ 4 = 5

+ 3 = 5

+ 1 = 5

+ 5 = 5

a.

4 + 0 = ______

4 + 1 = ______

4 + 2 = ______

b.

6 + 0 = ______

6 + 1 = ______

6 + 2 = ______

c.

3 + 0 = ______

3 + 1 = ______

3 + 2 = ______

d.

7 + 0 = ______

7 + 1 = ______

7 + 2 = ______

e.

5 + 0 = ______

5 + 1 = ______

5 + 2 = ______

f.

8 + 0 = ______

8 + 1 = ______

8 + 2 = ______

a.

2 + ______ = 5

b.

+ = 3

c.

+ = 4

d.

+ = 5

e.

+ = 6

f.

+ = 6

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Sums with 6

1. Six hippos are grouped into two groups, in different ways. Write the addition sentences.

2. Play “6 Out” and/or “Some Went Hiding” with 6 objects (see the introduction). 3. Drill. Don't write the answers but just think them in your head.

4. Add the numbers and write the total on the line.

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

1 + = 6

2 + = 6

6 + = 6

4 +

= 6

3 + = 6

5 + = 6

+ 2 = 6

+ 0 = 6

+ 4 = 6

+ 3 = 6

+ 1 = 6

+ 5 = 6

a.

1 + 5 = ______

b.

2 + 3 = ______

c.

4 + 2 = ______

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5. Draw more boxes to illustrate the missing number and write it on the line.

6. Jack and Jill share 5 cucumbers and 6 lemons in different ways. Find how many Jill gets. For the number shown, you can cover the cucumbers or lemons with your hand to see how many Jill gets.

a.

2 + ______ = 6

b.

2 + ______ = 5

c.

4 + ______ = 6

d.

3 + ______ = 6

e.

1 + ______ = 6

f.

5 + ______ = 6

g.

1 + ______ = 5

h.

0 + ______ = 6

i.

3 + ______ = 5

a.

5

Jack gets: Left for Jill:

2

1

5

3

0

4

b.

6

Jack gets: Left for Jill:

1

4

5

0

2

3

7. Add.

2 + 3 = ______

4 + 1 = ______

3 + 3 = ______

4 + 2 = ______

1 + 3 = ______

1 + 5 = ______

2 + 2 = ______

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Adding on a Number Line

1. Draw the jumps to illustrate the addition and find the answer.

You can use a different color for each number when you draw the jumps.

5 +

3 = 8

First jump 5... Then jump 3 more. You land on 8.

a.

5 +

2 = ______

b.

4 +

1 = ______

c.

6 +

3 = ______

d.

9 +

1 = ______

e.

7 +

3 = ______

f.

4 +

3 = ______

(39)

2. Write the addition sentence.

OR....

5 + 3 = 8

First draw an arrow that is 5 long. Then draw an arrow that is 3 long.

a.

+ = __

b.

+ = __

c.

+ = __

d.

+ = __

e.

+ = __

f.

+ = __

(40)

3. Draw arrows (or jumps) to show the addition. a.

7 + 2 = ______

b.

2 + 3 = ______

c.

5 + 4 = ______

d.

7 + 1 = ______

e.

6 + 4 = ______

f.

4 + 2 = ______

g.

9 + 1 = ______

h.

1 + 5 = ______

(41)

4. Write the addition sentence for each picture.

If the child is not familiar with numbers greater than 10, you can skip these.

5. Add “1”, add “2” to the number. Use the number line to help.

a.

+ = __

b.

+ = __

c.

+ = __

a.

7 + 1 = ______

7 + 2 = ______

b.

5 + 1 = ______

5 + 2 = ______

c.

6 + 1 = ______

6 + 2 = ______

d.

8 + 1 = ______

8 + 2 = ______

e.

10 + 1 = ______

10 + 2 = ______

f.

12 + 1 = ______

12 + 2 = ______

g.

13 + 1 = ______

13 + 2 = ______

h.

11 + 1 = ______

11 + 2 = ______

(42)

Sums with 7

1. Seven marbles are grouped into two groups, in different ways. Write the addition sentences.

2. Drill. Don't write the answers here. Just think them in your head.

3. Add.

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

5 + = 7 3 + = 7 7 + = 7 2 + = 7 1 + = 7 4 + = 7 6 + = 7 0 + = 7 4 + = 7 + 3 = 7 + 2 = 7 + 6 = 7 + 7 = 7 + 1 = 7 + 5 = 7 a.

3 + 3 =______

3 + 4 = ______

b.

5 + 2 = ______

4 + 2 = ______

c.

6 + 1 = ______

4 + 3 = ______

d.

2 + 5 = ______

4 + 2 = ______

(43)

4. Play “7 Out” and/or “Some Went Hiding” with 7 objects (see the introduction). 5. Fill in the missing numbers. You may draw dots to help. Notice the patterns!

6. This is a new way to write addition! The answer goes under the line.

a. b. c.

0 + ______ = 7

1 + ______ = 7

2 + ______ = 7

3 + ______ = 7

0 + ______ = 6

1 + ______ = 6

2 + ______ = 6

3 + ______ = 6

0 + ______ = 5

1 + ______ = 5

2 + ______ = 5

3 + ______ = 5

a.

₄

+ 3

7

b.

₁

+ 5

c.

₅

+ 0

d.

₄

+ 1

e.

₄

+ 0

f.

₂

+ 5

g.

₀

+ 3

h.

₁

+ 3

i.

₃

+ 3

j.

₂

+ 2

k.

₄

+ 2

l.

₂

+ 0

m.

₁

+ 6

n.

₃

+ 4

o.

₂

+ 4

(44)

7. Solve the word problems. Draw pictures to help you!

Think: Are you asked the TOTAL? Or do you already know the total?

a. Lisa has three goldfish and Lauren has six. How many goldfish do they have together?

b. Paul has seven T-shirts. Two of

them are red. How many are not red?

c. A fish bowl has four fish swimming in it. Lisa added four more.

How many fish are now in it?

d. Paul has nine toy cars. Six of them are in the living room. The rest of them Paul cannot find.

How many cars are missing?

e. Jill wants to have hats for all seven of her dolls. She has found three hats so far.

How many does she still need?

f. Brenda ate two cookies, and later she ate four more. How many cookies did she eat in all?

What numbers can go into these puzzles?

+

= 6

+

= 7

+

= 5

+

= 6

=

5 =

6 =

7 =

6

(45)

Sums with 8

1. Eight marbles are grouped into two groups, in different ways. Write the additions.

2. Drill. Don't write the answers here. Just think them in your head.

3. Play “8 Out” and/or “Some Went Hiding” with 8 objects (see the introduction).

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

+ 5 = 8 + 0 = 8 + 2 = 8 + 4 = 8 + 6 = 8 + 3 = 8 2 + = 8 5 + = 8 1 + = 8 3 + = 8 7 + = 8 4 + = 8 8 + = 8 6 + = 8 + 1 = 8

(46)

4. Fill in the missing numbers. You may draw dots to help. Notice the patterns!

5. Draw more marbles. Write the additions.

a. b. c.

1 + ______ = 8

2 + ______ = 8

3 + ______ = 8

4 + ______ = 8

1 + ______ = 7

2 + ______ = 7

3 + ______ = 7

4 + ______ = 7

1 + ______ = 6

2 + ______ = 6

3 + ______ = 6

4 + ______ = 6

a.

+ = 6

b.

+ = 5

c.

+ = 6

d.

+ = 8

e.

+ = 7

f.

+ = 4

g.

+ = 8

h.

+ = 8

(47)

6. Find the missing numbers.

7. Add.

8. Which number is greater? Or are they equal? Write < or

>

or

=

. (Write one of the alligator mouths or the equal sign).

a.

3 + 4 =______

4 + 4 = ______

b.

6 + 2 = ______

5 + 2 = ______

c.

6 + 1 = ______

1 + 7 = ______

d.

2 + 5 = ______

2 + 6 = ______

e.

5 + ______ = 7

5 + ______ = 8

f.

4 + ______ = 8

4 + ______ = 7

g.

3 + ______ = 7

3 + ______ = 8

h.

2 + ______ = 8

2 + ______ = 7

a.

₄

+ 2

b.

₆

+ 2

c.

₃

+ 3

d.

₇

+ 1

e.

₅

+ 2

f.

₁

+ 2

g.

₆

+ 1

h.

₄

+ 3

i.

₅

+ 1

j.

₃

+ 2

a.

7 =

7

e.

8

4

i.

4

b.

7

8

f.

2

1

5

c.

6

4

g.

0

6

8

d.

10

h.

8

7

2

0

(48)

Addition Practice 2

1. Draw the number of triangles asked for. Write an addition sentence.

2. Double means two times the same thing! Draw dots or sticks. Write the total in the box. a. Draw 3 more _______ + _______ = _______ b. Draw 2 more _______ + _______ = _______ c. Draw 5 more _______ + _______ = _______ d. Draw 3 more _______ + _______ = _______ e. Draw 3 more _______ + _______ = _______ f. Draw 4 more _______ + _______ = _______

I I I I

a. Double 2 b. Double 3 c. Double 4 d. Double 5 e. Double 6 f. Double 1

(49)

3. Add.

4. Draw jumps for each of the additions. Find the answer. a.

4 + 4 = ______

6 + 1 = ______

6 + 2 = ______

b.

4 + 3 = ______

5 + 2 = ______

3 + 2 = ______

c.

2 + 4 = ______

5 + 1 = ______

1 + 6 = ______

a.

4 + 2 = ______

b.

6 + 1 = ______

c.

7 + 3 = ______

d.

3 + 6 = ______

e.

2 + 5 = ______

f.

1 + 8 = ______

(50)

5. You can add either way! Which way is easier?

6. Let's make charts! In the first chart, add one each time. Then, add two each time. Then, add three each time.

7. Fill in the addition tables. Add the number above and the number to the left. a.

7 + 2 = ______

2 + 7 = ______

b.

2 + 5 = ______

5 + 2 = ______

c.

6 + 2 = ______

2 + 6 = ______

d.

1 + 4 = ______

4 + 1 = ______

a. b. c. Add 1

5 + 1 = 6

6 + 1 = ______

7 + 1 = ______

8 + 1 = ______

9 + 1 = ______

Add 2

2 + 2 = ______

3 + 2 = ______

4 + 2 = ______

5 + 2 = ______

6 + 2 = ______

Add 3

2 + 3 = ______

3 + 3 = ______

4 + 3 = ______

5 + 3 = ______

6 + 3 = ______

+

1

2

3

4

5

6

(51)

Sums with 9

1. Nine marbles are grouped into two groups, in different ways. Write the addition sentences.

2. Drill. Don't write the answers here. Just think the answers in your head.

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

+ 8 = 9 + 2 = 9 + 7 = 9 + 4 = 9 + 6 = 9 + 3 = 9 2 + = 9 9 + = 9 0 + = 9 3 + = 9 6 + = 9 4 + = 9 7 + = 9 + 1 = 9 + 5 = 9

(52)

4. What numbers make up nine? Fill in the missing numbers.

6. Add. a.

______ + 0 = 9

d.

______ + 4 = 9

b.

6 + ______ = 9

e.

2 + ______ = 9

c.

8 + ______ = 9

f.

3 + ______ = 9

a. b. c.

1 + ______ = 7

2 + ______ = 7

3 + ______ = 7

4 + ______ = 7

1 + ______ = 8

2 + ______ = 8

3 + ______ = 8

4 + ______ = 8

1 + ______ = 9

2 + ______ = 9

3 + ______ = 9

4 + ______ = 9

a.

₂

+ 5

b.

₁

+ 6

c.

₄

+ 4

d.

₇

+ 1

e.

₇

+ 2

f.

3 + 5

g.

4 + 2

h.

3 + 4

i.

1 + 5

j.

4 + 5

(53)

7. Solve the word problems. Write an addition sentence or a missing addend sentence for each problem. Think: “ Is it asking the TOTAL? Or, do I already know the total,

and something else is asked?” You can draw a picture to help!

a. Mom has 2 eggs at home.

The cake recipe calls for five eggs. How many more eggs will she need?

b. You see four crayons in the crayon box and the rest of them are lost. The full box has eight crayons. How many crayons are missing?

c. Jenny and Penny both have five

goldfish. How many do they have together?

Betty has three goldfish. How many do the three girls have together?

d. You have two dollars.

Can you buy a doll for 11 dollars?

Daddy has ten dollars. How much money do you have together? Can you buy the doll together?

e. There are two red chairs in the living

room and six red chairs in the kitchen, and none in the other rooms. How many red chairs are in the house?

f. Joshua has five dollars. He wants to buy a truck for seven dollars. How many more dollars will he need?

g. If you have eight dollars, and a gift for mom costs $10, how much more money do you need?

h. Jack bought nails for five dollars and screws for four dollars. How much money did he spend in all?

(54)

8. First add. Write the answer below (not in the box!). Then write < or

>

or

=

.

9. First add. Think the answer in your mind. Then compare and write < or > .

First add 3 + 2. It is 5. Do not write 5 in the box! Then compare 5 and 4. Five is greater. Draw > .

3 + 2

4 ↓

↓

5

4

a.

_{5 + 2}

₄

↓

4

b.

_{4 + 4}

₇

↓

7

c.

_{1 + 1}

₂

↓

d.

_{3 + 6}

₇

↓

a.

_{1 + 4}

₃

e.

4 + 4

9

b.

_{2 + 2}

₅

f.

3 + 5

6

c.

_{0 + 0}

₂

g.

6 + 2

7

d.

_{5 + 3}

₇

h.

3 + 4

8

What numbers can go into the puzzles?

+

= 9

+

= 9

+

= 9

+

= 8

=

10 =

8 =

9 =

8

(55)

Sums with 10

1. Ten marbles are grouped into two groups, in different ways. Write the additions.

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

|

+ = __

(56)

3. Drill. Don't write the answers here. Just think of the answers in your head.

5. Connect two numbers together if they make ten. + 6 = 10 + 3 = 10 + 8 = 10 + 4 = 10 + 5 = 10 + 9 = 10 1 + = 10 7 + = 10 2 + = 10 6 + = 10 9 + = 10 5 + = 10 3 + = 10 4 + = 10 8 + = 10 a. b. c.

2 + ______ = 10

3 + ______ = 10

4 + ______ = 10

5 + ______ = 10

2 + ______ = 9

3 + ______ = 9

4 + ______ = 9

5 + ______ = 9

2 + ______ = 8

3 + ______ = 8

4 + ______ = 8

5 + ______ = 8

4

5

3

9

1

2

7

6

0

6

3

1

5

3

4

8

9

7

2

4

2

5

3

2

5

7

8

(57)

6. Which number is greater? Or are they equal? Write < or

>

or

=

. (Write one of the alligator mouths or the equal sign).

7. First add. Think the answer in your mind. Then compare and write < or

>

or

=

.

8. What numbers add up to ten? Fill in the missing numbers.

9. Draw a line to the correct answer. a.

6

7

e.

8

6

b.

10

8

f.

5

c.

6

8

g.

9

8

d.

10

h.

5

10

a.

_{1 + 9}

₉

e.

_{5 + 5}

₁₀

b.

_{4 + 4}

₉

f.

_{3 + 5}

₇

c.

_{5 + 2}

₆

g.

_{6 + 3}

₁₀

d.

_{5 + 4}

₉

h.

_{7 + 1}

₇

a.

______ + 10 = 10

______ + 5 = 10

______ + 1 = 10

b.

6 + ______ = 10

2 + ______ = 10

4 + ______ = 10

c.

______ + 3 = 10

______ + 8 = 10

______ + 9 = 10

7 7 + 1

2 + 6

3 + 4

5 + 2

4 + 4

1 + 6

8

9 7 + 3

3 + 6

4 + 6

1 + 8

5 + 4

3 + 7

10

(58)

10. Solve the word problems. a. There were three birds in the tree. Seven more flew in.

How many birds are now in the tree?

b. Tina has seven books from the library. She has read three. How many books has she not read?

c. Jessica has ten dolls. She sees four of them in her room. How many are elsewhere?

d. Larry has three toy cars and his brother has three.

How many do they have together?

e. Bill has ten toy cars but

he can only find six. How many are missing?

f. Jack saw two birds on

the lawn and five on the fence. How many birds did he see in all?

g. Together, Jessica and Jenny have

ten books. Jenny has five. How many does Jessica have?

h. The store has ten dolls.

Two of them are on the bottom shelf. The rest are on the top shelf. How many dolls are on the top shelf?

(59)

Comparisons

1. First add. Think the answer in your mind. Then compare and write < or

>

or

=

.

2. Pick a number to write on the line so the comparison is true.

7 = 7

Seven equals seven.

=

6 = 2 + 4

Six equals two plus four.

= = means “EQUAL”

7  8

Seven is less than eight.



3 + 4  5

Three plus four is greater than five.





means “LESS THAN”



means “GREATER THAN” a.

4 + 1

5

d.

2 + 5

7

g.

2 + 2

3

b.

7 4 + 4

e.

5 5 + 0

h.

9

c.

6 2 + 3

f.

10 5 + 5

i.

2 2 + 2

a. 5 6 7

_______ < 6

b. 4 5 6

_______ < 5

c. 5 6 7

______ > 6

d. 2 3 4

______ > 3

e. 9 7 5

______ > 7

f. 3 6 9

_______ < 5

g. 1 3 7

______ > 6

h. 2 4 6

_______ < 3

(60)

3. Pick a number to write on the line so the comparison is true.

4. Compare. Write < ,  , or = .

5. Challenges! First add. Think the answers in your mind. Write < , > , or = . a. 2 3 4

2 + _______ < 6

b. 4 5 6

1 + _______ < 6

c. 1 2 3

4 + _______ < 7

d. 4 5 6

2 + ______ > 6

e. 4 5 6

1 + ______ = 6

f. 7 8 9

1 + ______ > 9

g. 6 7 8

2 + ______ = 10

h. 2 4 6

3 + _______ < 7

i. 4 5 6

4 + ______ > 8

a.

4 + 3

5

d.

2 + 5

8

g.

8 + 2

10

b.

7 + 1

9

e.

3 + 4

6

h.

9 + 2

9

c.

4 4 + 2

f.

6 3 + 3

i.

2 2 + 1

a.

7 + 3

2 + 8

b.

1 + 1

1 + 4

c.

4 1 + 4

d.

5 + 6

6 + 5

e.

2 + 5

2 + 2

f.

3 3 + 1

g.

2 + 4

2 + 1

h.

11 + 0

0 + 11

i.

0 0 + 0

(61)

6. What numbers add up to 10? Draw arrows to illustrate the addition sentences.

7. Fill in as much of the addition table as you can, and don't worry about the rest. Color the square blue if the answer is 8.

a.

+ = 10

b.

+ = 10

c.

+ = 10

d.

+ = 10

e.

+ = 10

+

1

2

3

4

5

6

7

0

1

2

3

4

5

(62)

Review of Addition Facts

1. Write different sums of 5 and sums of 6.

4. Compare. Write < , > , or = .

5 = +

6 = +

2. Draw a line to the correct answer.

3. Find the missing addends

5 4 + 1

2 + 3

3 + 3

5 + 0

4 + 2

5 + 1

0 + 6

1 + 4

2 + 4

6 ______ + 2 = 6

2 + ______ = 5

1 + ______ = 5

6 + ______ = 6

______ + 1 = 6

______ + 0 = 6

0 + ______ = 5

3 + ______ = 6

4 + ______ = 6

______ + 4 = 5

2 + 2

5 2 + 3

5 2 + 4

5 4 + 4

5 5 + 5

5 5 + 0

5 2 + 4

6 2 + 5

6 2 + 6

6

(63)

5. Write different sums of 7 and sums of 8. 8. Compare. Write < , > , or = .

7 = +

8 = +

7 4 + 3

2 + 6

3 + 5

4 + 4

5 + 2

1 + 6

5 + 3

7 + 1

6 + 2

8 ______ + 2 = 7

______ + 4 = 7

2 + ______ = 8

5 + ______ = 8

6 + ______ = 7

______ + 4 = 8

3 + ______ = 7

3 + ______ = 8

7 + ______ = 8

5 + ______ = 7

3 + 3

7 4 + 3

7 5 + 3

7 6 + 1

7 6 + 6

7 6 + 4

8 4 + 4

8 5 + 4

8

(64)

9. Write different sums of 9 and sums of 10. 12. Compare. Write < , > , or = .

9 = +

10 = +

9 2 + 7

3 + 6

4 + 6

5 + 5

9 + 1

1 + 8

5 + 4

3 + 7

2 + 8

10 ______ + 2 = 10

______ + 4 = 9

2 + ______ = 9

5 + ______ = 10

6 + ______ = 10

______ + 6 = 9

7 + ______ = 10

3 + ______ = 9

7 + ______ = 9

4 + ______ = 10

2 + 6

9 4 + 6

9 3 + 6

9 6 + 6

10 5 + 5

10 4 + 4

10 10 + 4

10 10 + 0

10 10 + 7

10

(65)

13. Add.

14. Fill in the addition table as much as you can.

a. b. c. d.

8 + 1 = ______

6 + 2 = ______

1 + 7 = ______

3 + 4 = ______

4 + 1 = ______

10 + 0 = ______

3 + 6 = ______

6 + 4 = ______

0 + 0 = ______

9 + 1 = ______

7 + 1 = ______

6 + 3 = ______

5 + 3 = ______

0 + 4 = ______

4 + 4 = ______

4 + 5 = ______

+

2

4

3

6

7

5

8

1

3

4

2

represents a number, and represents another number. Solve what they are in each case (a, b, and c). Hint: Make a guess! Then check if your guess is correct.

MathMammoth_Grade1A.pdf

Contents

Foreword

Chapter 0: Kindergarten Math Review

Introduction

Equal Amounts; Same and Different

1. Write an X for each thing in the other box.

2. Color the shapes that are the same as the first shape.

Writing Numbers

1. Write the number.

2. Count and write the number.

3. Write the number.

4. Count and write the number.

Counting

1. Count. Write the number in the box.

2. Count. Write the number. Then circle the number that is MORE.

3. Write the missing number below the number line.

4. Circle the group that has more things. Then count ALL (both groups).

Write the number in the box below.

Position Words, Colors, and Shapes

Color RED

the top shape.

Color BLUE

the bottom shape.

Color YELLOW

the middle shape.

Color GREEN the shape on the right.

Color BLUE the shape in the middle.

Color YELLOW the shape on the left.

Color ORANGE two shapes

on the right.

Color PURPLE two shapes

on the left.

Color GREY

two bottom shapes.

Color BROWN

two middle shapes.

Color BLACK

two top shapes.

Color GREEN

all the circles.

Color ORANGE

all the triangles.

Color PURPLE

all the squares.

Patterns

1. Continue the pattern for one more shape.

2. Continue counting up or down.

1 2 3 4 5 ____ ____ ____ ____ ____ ____

10 9 8 7 6 ____ ____ ____ ____ ____ ____

Chapter 1: Addition Within 0-10

Introduction

Games

Two Groups and a Total

4

1 and 3

4

2 and 2

4

3 and 1

5

3 and 2

5

2 and 3

5

1 and 4

4

1 and _____

4

2 and _____

4

3 and _____

5

4 and _____

5

3 and _____

5

2 and _____

5

1 and _____

1 2 3 4 5

10 9 8 7 6

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _

_ and _