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First Grade
Numbers to 120
2015-11-20
www.njctl.org
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Table of Contents· What is a number?· Number Writing 0-5
· Number Writing 6-10
· Number Line
· One More ... One Less· Comparing Numbers
· Skip Counting by 2· Skip Counting by 10
· Number Grid
· Skip Counting by 5
click on the topic to go to that section
· Tricky Teens
· Using Symbols to Compare Numbers
· Tally Marks
· Lab: Ten Frame Memory
· Lab: Five Frame Game
· Lab: Craft Stick Tallies
· Lab: Comparison Symbol Cards
· Lab: Skip Counting Puzzles
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Standards for Mathematical Practices
MP 8 Look for and express regularity in repeated reasoning.
MP 1 Make sense of problems and persevere in solving them.
MP 2 Reason abstractly and quantitatively.
MP 3 Construct viable arguments and critique the reasoning of others.
MP 4 Model with mathematics.
MP 5 Use appropriate tools strategically.
MP 6 Attend to precision.
MP 7 Look for and make use of structure.
Click on each standard to bring you to an example of how to meet
this standard within the unit.
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What is a Number?
Click to return to Table of Contents
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A number is a symbol used to show an amount
What numbers can you think of?
Numbers
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0 zero -
1 one - 2 two -
Numbers can be written in digits or words.
Ways to Write Numbers
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3 three
4 four
5 five
6 six
Ways to Write Numbers
Come up to the board to touch the circles and practice counting
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7 seven
8 eight
9 nine
10 ten
Ways to Write Numbers
Come up to the board to touch the circles and practice counting
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Use the pen to draw a line from the digit to the word
1
6
4
9
2
0
nine
zero
one
four
six
two
Number Practice
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Ways to Use Numbers
Numbers can be used to show an amount.
How many desks are on this page?Write the answer as a digit.
__________ desks
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Numbers are used to compare
A dime is 9 cents more than a penny.Circle the coin with the larger amount.
10 C
Ways to Use Numbers
1C
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21 22 23 24
Numbers are used to show location
601 Buffalo AveEgg Harbor City, NJ 08215
Ways to Use Numbers
Seat 22
Can you think of any other examples?
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Numbers are used as codes. Do you know the names for these circled codes?
609-965-1034
Spragg Elementary School601 Buffalo Ave
Egg Harbor City, NJ 08215
Ways to Use Numbers
________ code
________ code
________ code
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Numbers are used to order.Do we ever use numbers to order anything in our
classroom?
1st 10th2nd 4th 5th 9th3rd 6th 7th 8th
Ways to Use Numbers
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What numbers do you see around the classroom?
What does each number tell us?
example: A thermometer has numbers which tell us how hot or cold it is
Number Hunt Game
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1 How many flowers are there?
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2 How old are you?
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3 How many brothers and sisters do you have?
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4 What number is this?
two
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5 How many boys are in the room?
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Number Writing 0-5
Click to return to Table of Contents
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Zero0
Zero
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One
Number 1
How can you represent the number 1 with pictures of symbols?
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A fives frame is a rectangle split into five sections to help us learn numbers.
This fives frame represents the number 1
Number 1
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2 Two
Number 2
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The fives frame below represents the number 2
Number 2
Teac
her N
otes
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3 Three
Number 3
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How many circles will it take to make the number 3?
Draw them.
Number 3
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Four
Number 4
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How many circles will it take to make the number 4? Draw them.
Number 4
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5 Five
Number 5
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How many circles will it take to make the number 5? Draw them.
Number 5
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6 How many pencils do you see?
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7 What number is this?
ZERO
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8 How many erasers are there?
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Lab: Five Frame Game
Click to return to Table of Contents
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Click to return to Table of Contents
Number Writing 6-10
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six6
Number 6
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A tens frame is a rectangle split into ten sections to help us learn numbers.
There are 5 sections on the top and 5 on the bottom.
The tens frame below represents the number 6. Who can tell me how it works?
Tens frame
Teac
her N
otes
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7 seven
Number 7
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The tens frame below represents the number 7
Number 7
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8 eight
Number 8
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How many circles will it take to make the number 8? Draw them.
Number 8
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nine9
Number 9
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How many circles will it take to make the number 9? Draw them.
Number 9
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ten10
Number 10
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How many circles will it take to make the number 10? Draw them.
Number 10
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Class Discussion
A classmate said that 8 is 2 less than 10.
Is she correct? How did you know?
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9 How many crayons are blue?
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10 What number is shown?A
nsw
er
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11 What number is this?
EIGHT
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Lab: Ten Frame Memory Game
Click to return to Table of Contents
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Tricky Teens
Click to return to Table of Contents
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Tricky Teens Poem
1 and 1 make eleven fun
1 and 2 tell twelve what to do
1 and 3 send thirteen up a tree
1 and 4 make fourteen shut the door
1 and 5 keep fifteen alive
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1 and 6 make sixteen pick up sticks
1 and 7 send seventeen to the heavens
1 and 8 make eighteen great
1 and 9 make nineteen shine
2 and 0 make twenty the hero
Tricky Teens Poem
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13 means 3 more than 10
Thirteen
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14 means 4 more than 10
Fourteen
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15 means 5 more than 10. Fill in the table for 15.
Fifteen
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16 means 6 more than 10. Fill in the table for 16.
Sixteen
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17 means 7 more than 10. Fill in the table for 17.Seventeen
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18 means 8 more than 10. Fill in the table for 18.
Eighteen
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19 means 9 more than 10. Fill in the table for 19.
Nineteen
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Sometimes we can mix up the
"tricky teens" with 21, 31, 41, 51, 61,
71, 81, and 91
Just remember that when a number ends with a 1,
we can hear "one" except for 11.
21 Twenty ONE31 Thirty ONE41 Forty ONE51 Fifty ONE61 Sixty ONE71 Seventy ONE81 Eighty ONE91 Ninety ONE
Numbers That End in One
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16 61
Tricky Teens
How are these numbers different?
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12 What number is shown below?
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13 Write the number fourteen as a digit.
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14 How many bikes are parked at the school?
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15 How many chairs are in the room?
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16 The number 15 means 10 and _____?
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Tally Marks
Click to return to Table of Contents
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Tally MarksTally marks are another way to represent numbers. Lets use
a story to think about this.
Each caterpillar crawled onto the leaf. 1...2...3...4... When it was number 5's turn there was no
room for him. So he decided to lay across the other four.
Once there were five caterpillars. They decided to take a nap on a
beautiful green leaf.
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Tally Marks 1-5
1
2
3
4
5
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Tally Marks 6-10
6
7
8
9
10
What will the tally marks for 11 look like?
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Our fingers can help us remember how to form
tally marks.
Our four fingers point up to the sky and our thumb
can go across like the 5th tally mark.
1 2 34
5
goes
across
Help with making tally marks
Try this on your hand right now!
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Class Discussion - Tally Marks
Joe made some tally marks below.
How many tally marks did he make?
Did he make his tally marks correctly?
If not, explain and show him how to correct his mistake.
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17 How many tally marks are there?
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18 Jim drew 5 tally marks. Which number went across?
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19 How many tally marks do you see?
Quiz
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Lab: Craft Stick Tally RollPass out 10 craft sticks to each student. Call out a number and have students arrange their sticks to show the correct
way to make tally marks.
Have students work with a partner. They will each need set of craft sticks and 2 dice. Each partner will take turns rolling the dice and manipulating the sticks to show the
right number of tally marks.
Click to return to Table of Contents
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Number Line
Click to return to Table of Contents
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Number lines are used to help us count, add, and subtract.
We can also use number lines to compare two numbers.
Numbers get bigger as you move towards the right or up.
10 2 3 4 5 6 7 8 9 10
Uses For Number Lines
1
0
2
3
4
5
6
7
8
9
10
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When counting on a number line, think about hopping from one number to another.
Don't start counting until you move to the next number.There are 4 hops between numbers 1 and 5.
10 2 3 4 5 6 7 8 9 10
1 2 3 4 hops
Counting on Number Lines
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Start at 2. Count up 5 jumps. You land on _______.
Start at 1. Count up 6 jumps.You land on _______.
Practice: Counting on Number Lines
10 2 3 4 5 6 7 8 9 10
10 2 3 4 5 6 7 8 9 10
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Start at 8. Count up 11 jumps. You land on ______.
Start at 6. Count up 8 jumps. You land on ______.
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Practice: Counting on Number Lines
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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Start at 2. Count up 5 jumps. You land on _______.
Start at 12. Count up 6 jumps. You land on _______.
Practice: Counting on Number Lines
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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Start at 8. Count back 2 jumps. You land on _____.
Start at 15. Count back 7 jumps. You land on _____.
Practice: Counting on Number Lines
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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Start at 11. Count back 9 jumps. You land on _____.
Start at 19. Count back 9 jumps. You land on _____.
Practice: Counting on Number Lines
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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1 6
Let's make our own number line! Drag the numbers into the right order in the boxes.
02
34
578
91011
1213
14
Creating Number Lines
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2126
Let's try a harder one now!
20
2223
242527
2829
303132
3334
Creating Number Lines
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20 Put your finger on the number 8. Take 4 hops up. Where did you land?
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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21 Put your finger on the number 3. Take 2 hops up. Where did you land?
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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22 Put your finger on the number 2. Take 7 hops up. Where did you land?
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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23 Put your finger on the number 3. Take 1 hop back. Where did you land?
1
0
2
3
4
5
6
7
8
9
10
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24 Put your finger on the number 6. Take 4 hops back.Where did you land?
1
0
2
3
4
5
6
7
8
9
10
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Number Grid
Click to return to Table of Contents
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Numbers on a number grid are in rows and columns.
To move from row to row, follow the matching colors.
Number Grids
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When you move to the right, numbers get larger by 1.
Number Grids
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When you move to the left, numbers get smaller by 1.
Number Grids
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When you move down, numbers get bigger by 10.
Number Grids
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When you move up, numbers get smaller by 10.
Number Grids
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25 Put your finger on the number 26 and take 2 jumps back. Where did you end?
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26 Put your finger on the number 17 and take 10 jumps up. Where did you end?
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27 Put your finger on the number 40 and take 3 jumps up. Where did you end?
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28 Put your finger on the number 45 and take one jump up. Where did you end?
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29 Put your finger on the number 81 and take 5 jumps back. Where did you end?
Quiz
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One more...One less
Click to return to Table of Contents
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The number that comes after a given number is said to be "one more".
The number that comes before a given number is said to be "one less".
11 is one more than 10
9 is one less than 10
One More... One Less
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A number line can help us find one more or one less.
To find one more than 4, put your finger on the 4 andmove one jump to the right.
To find one less than 4, put your finger on the 4 andmove one jump to the left.
10 2 3 4 5 6 7 8 9 10
10 2 3 4 5 6 7 8 9 10
Number Lines
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Practice
What is one more than 7?
What is one less than 9?
10 2 3 4 5 6 7 8 9 10
10 2 3 4 5 6 7 8 9 10
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What is one less than 4?
What is one more than 2?
Practice
10 2 3 4 5 6 7 8 9 10
10 2 3 4 5 6 7 8 9 10
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We can also use a number grid to find one more and one less.
One more is one jump to
the ________
One less is one jump to
the ________
Fill in the blanks!
Number Grids
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Let's practiceWhat is one more than 65?
What is one less than 23?
What is one less than 71?
What is one more than 90?
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30 What is one more than 7?
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31 What is one less than 34?
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32 What is one more than 70?
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33 What is one more than 3?
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34 What is one less than 61?
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Comparing Numbers
Click to return to Table of Contents
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10 2 3 4 5 6 7 8 9 10
Count the number of boys and girls. Circle the number of each on the number line. Are there more girls or more boys?
What do you notice about the numbers circled?
Comparing Numbers
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Using a Number Line to Compare Numbers
Since 12 comes after 9, 12 is ___________ than 9.
Since 9 comes before 12, 9 is __________ than 12.
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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When two numbers have a different number of digits, it is easy to compare them.
The number with more digits is greater.Circle the larger number.
9 57
Using Digits to Compare Numbers
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When two numbers have the same number of digits, we need to look at the number on the far left. The number that has the bigger digit is greater. The number that has
the smaller digit is fewer.
42 898 is more than 4, so 89 is _________ than 42
Using Digits to Compare Numbers
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When two numbers have the same digit on the far left, we need to look at the number to the right.
The number that has the bigger digit is greater.The number that has the smaller digit is less.
67 637 is more than 3, so 67 is ________ than 63
Using Digits to Compare Numbers
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Class Discussion: Comparing Numbers
Kim said that 23 and 25 are equal because they both have 2 as the first number.
Is she correct? Explain how you knew.
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35 Which number is greater?
14 or 9
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36 Which number is less?
42 or 47
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37 Which number is greater?
23 or 49
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38 Which number is smaller?
3 or 7
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39 Which number is greater?
100 or 10
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Using Symbols to Compare Numbers
Click to return to Table of Contents
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We can use symbols to show equal to, greater than and less than.
> >=Using Symbols to Compare Numbers
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This symbols means equal to.
When two numbers are the same, we place the equal sign between them.
45 = 45
Symbol: Equal to (=)
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This symbols means greater than.
When the first number is greater than the second number,we place this symbol between them.
36 > 25
Symbol: Greater Than (>)
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This symbols means less than.
When the first number is less than the second number,we place this symbol between them.
62 < 87
Symbol: Less Than (<)
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It is sometimes hard to remember which symbol to use.Try to think of the sign like an alligator's mouth.
> >The alligator likes to eat bigger things so his mouth is always
open towards the bigger number.
Which Symbol Do I Use?
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62 25
89 99
53 76
23 32>>
Put the correct symbol between the two numbers.
Let's Practice
Slide 158 / 216Let's Practice
42 94
31 30
18 8
29 29
51 64
79 77
83 83
24 49
13 30
81 81
92 86
15 14
99 27
41 41
<> <
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Comparing Numbers
Ken has 24 cars. His sister Darby has 31 cars. Who has more cars? Show it is a
comparison sentence.
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40 Which number is greater than 28?
A 23
B 29
C 26
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41 Which symbol would you use?
>
<
=
23 34A
B
C
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42 Which symbol would you use?32 19
>
<
=
A
B
C
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43 Which number is less than 14?
A 41 B 7 C 16
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44 Which symbol would you use?53 53
Quiz
><=
A
B
C
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Lab: Comparison Symbol CardsEach child will need:
- 2 brad fasteners
- 1 index card
- 2 small strips of black paper.
Line up the two strips of black paper on the index card to make an = sign.
Fasten them in the middle to the index card.
You can then rotate the black strips to make >, <, or =.
Use these cards to practice comparing numbers.
Click to return to Table of Contents
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Skip Counting by 2
Click to return to Table of Contents
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2 4 6 8 10 12
When we skip count we count by groups of 2.
Skip counting helps us count items quickly.
Skip Counting
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How many cat eyes do you see?
Do you notice a pattern with the numbers we wrote?
Skip Counting Practice
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1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
When we count by 2s we skip every other number.You can practice this by saying the numbers under the Xs very quietly and the ones without the Xs very loud!
Skip Counting Practice
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We can count by 2s on a number line.
10 2 3 4 5 6 7 8 9 10
We can also count by 2s on a number grid.
Counting By Twos
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Patterns in Counting By Twos
When skip counting by 2s the numbers always end with:
_____, _____, _____, _____,
or _____,
Look at this grid. What do you notice about the
numbers that are circled?
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10, 12, 14, 16You don't know what you are missing.
18, 20, 22, 24We're going to learn a whole lot more.
2, 4, 6, 8Who do you appreciate?
Counting by 2s Chant
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34 40383632
24 30282622
20181612
1082 6
14
4
Click the tiles as you count aloud to reveal the numbers.
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Let's Practice
0 2 ___ 6 ___ 10
14 ___ 18 ___ 22 ___
36 38 ___ 42 ___ 46
20 ___ 24 26 ___ ___
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45 What is the missing number?
0, 2, 4, ___, 8, 10
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46 What is the missing number?
0, 2, ____, 6, 8, 10
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47 What is the missing number?
0, 2, 4, 6, ____, 10
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48 What is the missing number?
6, 8, 10, ____, 14, 16
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49 How many eyes do you see?
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Skip Counting by 10
Click to return to Table of Contents
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Counting by 10s is similar to counting by 1s,
except there is a 0 at the end.
10 20 30 40 50 60 70 80 90100
Do you see a pattern to the list of numbers?
Skip Counting by 10
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After 100, you begin back at 10 but put a hundred first
110 120 130 140 150 160 170 180 190 200
210 220 230 240 250 260 270 280 290 300
310 320 330 340 350 360 370 380 390 400
410 420 430 440 450 460 470 480 490 500
10 20 30 40 50 60 70 80 90 00
10 20 30 40 50 60 70 80 90 00
10 20 30 40 50 60 70 80 90 00
10 20 30 40 50 60 70 80 90 00
Skip Counting by 10
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When countingby 10s on a number grid,find the 10 uptop and move
down the column.
Skip Counting by 10
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Skip counting by 10s can help us count dimes.
10 20 30 40 50 60 70
Money Counting by 10s
c 1 dime = 10
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How much money do we have?
c
c
c
c
c
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Let's Practice
20 ____ ____ ____ 60 70 80
30 40 ____ 60 70 ____ ____
120 ____ 140 ____ ____ 170 180
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50 What number is missing?
10, 20, _____, 40, 50
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51 How much money does John have?
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52 What number is missing from the number grid?
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53 How many toes do you see?
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54 What number comes next?
50, 60, 70, ______
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Skip Counting by 5
Click to return to Table of Contents
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When you skip count by fives, you are moving up 5 jumps on a number line.
5 10
10 2 3 4 5 6 7 8 9 10
Skip Counting by 5
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Skip Counting by 5s Follows a Pattern
5 1015 2025 3035 4045 5055 6065 7075 8085 9095 100
What pattern do you see?
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Can you help finish skip counting on the number line?Drag and drop the circles onto the right numbers.
10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Skip Counting by 5
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Number Grid Counting by 5s
Let's color mark counting by 5s.
Drag and drop the red circles 5s and
blue circles for 10s
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Counting by 5s can help us count nickels.
One nickel = _____ C
5 10 15 20 25 30 35 40
Money Counting by 5s
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c
How Much Money Do We Have?
c
c
c
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Counting by 5s Using Tally Marks
5 10 15 20 25 30
Can you count the tally marks?
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Let's Practice
5, 10, ____, ____, ____, 30, 35, 40
35, 40, ____, 50, 55, ____, ____
60, ____, 70, ____, ____, 85, 90
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55 What number is missing?
5, 10, 15, ____, 25, 30
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56 How many tally marks are there?
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57 How much money does Bill have?
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58 What number is missing?
35, 40, 45, 50, _____, 60
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59 How many fingers do you see?
Quiz
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Lab: Skip Counting Puzzles
Students will build puzzles using their skip counting skills. The puzzles will help the student
become fluent with skip counting.
Click to return to Table of Contents
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