Fact Families and Number Families

Name
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Date
Time
21
Fact Families and Number Families
Family
Note
Work on fact and number families by focusing on related addition and subtraction
facts. For example, 7 5 12, 5 7 12, 12 7 5, and 12 5 7.
䉬
54 55
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Show someone at home how to use a Fact Triangle.
15
1. Write the fact family for the numbers 9, 6, and 15.
, Write two addition and two subtraction facts.
6
2. Write the number family for 25, 50, and 75.
9
75
, 3. Make up one more fact family or number family
25
50
and write it below.
Practice
Unit
Solve.
4. 8 2
6.
38
5. 5 7
04
7.
19
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, Name
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Date
Time
22
Fact Extensions
Family
Note
Knowing basic facts, such as 6 7 13, makes it easy to solve similar problems with
larger numbers, such as 60 70 130. Help your child think of more fact
extensions to complete this Home Link.
䉬
50 51
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Write the answer for each problem.
9
7
This helps me know:
19
7
69
7
99
7
2. I know:
8
4
This helps me know:
18
4
58
4
278
4
3. I know:
15
7
This helps me know:
35
7
65
7
105
7
4. I know:
13
8
This helps me know:
23
8
123
8
483
8
5. I know:
6
7
This helps me know:
60
70
600
700
6,000
7,000
Make up another set of fact extensions.
6. I know:
40
This helps me know:
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1. I know:
Name
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Time
23
“What’s My Rule?”
Family
Note
You can find an explanation of function machines and “What’s My Rule?” tables on pages
202–204 in the Student Reference Book. Ask your child to explain how they work. Help your
child fill in all the missing parts for these problems.
䉬
202 204
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Practice facts and fact extensions. Complete the “What’s My Rule?”
problems. Make up problems of your own for the last table.
1.
in
in
out
2.
14
Rule
Subtract 7
in
in
7
Rule
7
18
Add 9
37
12
out
out
out
15
86
49
10
21
3.
Rule
in
out
70
100
20
4.
in
in
Rule
60
out
90
50
42
120
out
out
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in
Name
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24
䉬
Family
Note
Date
Time
Parts-and-Total Number Stories
Today your child learned about a diagram that helps organize the information in a number
story. We call it a parts-and-total diagram. For more information, see pages 256 and 257 in
the Student Reference Book.
256 257
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For each problem, write ? for the number you want to find. Write the
numbers you know in the diagram. Then write the answer and a
number model. Finally, write how you know that each answer makes
sense.
1. Marisa read her book for 25 minutes on
Total
Monday and 30 minutes on Tuesday.
How many minutes in all did she read?
Part
Answer the question:
Part
(unit)
Number model:
Check: How do you know your answer makes sense?
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2. The second graders collected 300 cans
Total
to recycle. The third graders collected
400 cans. What was the total number of
cans they collected?
Part
Part
Answer the question:
(unit)
Number model:
Check: How do you know your answer makes sense?
43
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25
䉬
Family
Note
Date
Time
Change Number Stories
Today your child learned about another diagram that helps organize the information in a
number story. It is called a change diagram. For more information, see pages 254 and 255
in the Student Reference Book.
254 255
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For each number story, write ? in the diagram for the number you want
to find. Write the numbers you know in the change diagram. Then, write
the answer and a number model. Finally, write how you know that each
answer makes sense.
1. Marcus had $25 in his wallet. He spent
$16 at the store. How much money was in
Marcus’s wallet then?
Change
Start
End
Answer the question:
(unit)
Number model:
Check: How do you know your answer makes sense?
her neighbors. How much money did she
have then?
Change
Start
Answer the question:
(unit)
Number model:
Check: How do you know your answer makes sense?
46
End
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2. Jasmine had $35. She earned $14 helping
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䉬
Family
Note
Date
Time
Comparison Number Stories
Today your child learned about a comparison diagram. It helps organize information
in a number story. To read more, see page 258 in the Student Reference Book.
258
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Write ? in the diagram for the number you want to find. Write the numbers
you know in the diagram. Then write the answer and a number model. Tell
someone at home how you know that your answers make sense.
1. Jenna has $42. Her brother has $13. How
Quantity
much more money does Jenna have?
Answer the question:
(unit)
Quantity
Number model:
Difference
2. There are 28 days until Pat’s birthday and
19 days until Ramon’s birthday. How many
more days does Pat have to wait than Ramon?
Quantity
Quantity
Answer the question:
(unit)
Difference
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Number model:
3. There are 25 children in the soccer club and
Quantity
40 children in the science club. How many
fewer children are in the soccer club?
Quantity
Answer the question:
(unit)
Number model:
Difference
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Date
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Time
27
The Partial-Sums Addition Method
Family
Note
Today your child learned about adding two 3-digit numbers using a procedure called the
partial-sums method. Your child may choose to use this method or may prefer a different
procedure. For more information, see pages 57 and 58 in the Student Reference Book.
䉬
57 58
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Solve each addition problem. You may want to use the partial-sums
method. Use a ballpark estimate to check that your answer makes sense.
Write a number model to show your estimate.
1. Ballpark estimate:
100s 10s 1s
2 4 5
9 2
366
208
52
12 4
21 5
5. Ballpark estimate:
45 9
16 8
3. Ballpark estimate:
24 5
31 7
6. Ballpark estimate:
76 9
44 5
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4. Ballpark estimate:
2. Ballpark estimate:
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28
Subtraction Methods
Family
Note
Over the past 2 days, your child practiced subtracting two 3-digit numbers using the
counting-up method and the trade-first method. For more information, see pages 60, 61,
and 63 in the Student Reference Book.
䉬
60 61
63
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Fill in the unit. Solve the problems. You may use any
method you wish. Use a ballpark estimate to check that
your answer makes sense. Write a number model for your
estimate. On the back of this Home Link, explain how
you solved one of the problems.
1. Ballpark estimate:
468
274
653
447
54
53 1
32 9
5. Ballpark estimate:
92 5
48 6
3. Ballpark estimate:
33 1
20 9
6. Ballpark estimate:
72 4
23 7
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4. Ballpark estimate:
2. Ballpark estimate:
Unit
Name
Date
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Time
29
Three or More Addends
Family
Note
This Home Link provides practice in looking for combinations that make addition easier.
Guide your child to look for combinations that add up to 10, 20, 30, 40 and so on.
Then add the rest of the numbers.
䉬
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Remember that when you add:
䉬 The numbers can be in any order.
䉬 Some combinations make the addition easier.
Add. Write the numbers in the order you added them. Tell someone at home
why you added the numbers in that order.
Example:
5 17 25 3
50
I added in this order:
1. 6 18 14
I added in this order:
5 25 17 3
2. 125 13 75
I added in this order:
I added in this order:
5. 150 215 300 50 200
I added in this order:
I added in this order:
56
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4. 33 22 8 7
3. 15 6 14 5
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䉬
Date
Three or More Addends
Time
continued
Solve these number stories.
6. Nico’s baby brother has a basket of wooden
blocks. 18 blocks are red, 15 are blue, and
22 are yellow. How many red, blue, and
yellow blocks are in the basket?
Answer the question:
Total
Part
Part
Part
blocks
Number model:
7. Marianna has 3 days to read a 58-page
book. She read 17 pages on Monday
and 22 pages on Tuesday. How many
more pages does she need to read to
finish the book?
Answer the question:
Total
Part
Part
Part
pages
Number model:
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8. Make up a number story with three or more addends.
Answer the question:
(unit)
Number model:
Check: Does my answer make sense?
57