some common core standard math problems

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Transcript some common core standard math problems

Review of a few Common
Core Standard Math
Strategies for Operations
and Algebraic Thinking,
Grade 1
Please see contents of the Zip folder for:
Teacher Key (first 4 pages)
and Student pages (pages 5-8)
And
3 page teacher directions Word Doc
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Mathematics, Grade 1, Operations & Algebraic Thinking
2. Solve word problems that call for addition of three whole numbers whose sum is
less than or equal to 20, e.g., by using objects, drawings, and equations with a
symbol for the unknown number to represent the problem.
Understand and apply properties of operations and the relationship between
addition and subtraction.
2
3. Apply properties of operations as strategies to add and subtract. Examples: If 8
+ 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of
addition.)
Add and subtract within 20.
·
5. Relate counting to addition and subtraction (e.g., by counting on 2 to
add 2).
·
6. Add and subtract within 20, demonstrating fluency for addition and
subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 =
8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13
- 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g.,
knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier
or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12
+ 1 = 13).
Work with addition and subtraction equations.
·
7. Understand the meaning of the equal sign, and determine if equations
involving addition and subtraction are true or false. For example, which of the
following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 +
1 = 5 + 2.
Let's make some math problems . . .
SAMPLE Problem
Commutative property of addition
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SAMPLE Problem
*Part of # 6. Add and subtract within 20,
demonstrating fluency for addition and
subtraction within 10. Use strategies such as
using the relationship between addition
and subtraction (e.g., knowing that 8 + 4 = 12,
one knows 12 – 8 = 4).
* 6. Add and subtract within 20, demonstrating fluency for
addition and subtraction within 10. Use strategies such as
counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 =
14)
Can we solve this problem together?
Sample Problem
6. Add and subtract within 20,
demonstrating fluency for addition and
subtraction within 10. Use strategies
such as decomposing a number
leading to a ten
(e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9).
Can we solve this problem?
Sample
6. Add and subtract within 20, demonstrating fluency for addition and subtraction
within 10. Use strategies such as creating equivalent but easier or known sums
(e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Can we solve this problem?
?
You know how to do these math problems:
COMMON CORE STANDARD
Work with addition and subtraction equations
7. Understand the meaning of the equal sign, and determine if
equations involving addition and subtraction are true or false.
For example: 7 = 8 – 1
see next slide . . .
Now, how about these?
COMMON CORE STANDARD
Work with addition and subtraction equations
7. Understand the meaning of the equal sign, and determine if
equations involving addition and subtraction are true or false.
For example: 7 = 8 – 1
What is the meaning of the equal sign?
7. Understand the meaning of the equal sign, and determine if
equations involving addition and subtraction are true or false.
For example, which of the following equations are true and
which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
What?
7. Understand the meaning of the equal sign, and determine if
equations involving addition and subtraction are true or false.
For example, which of the following equations are true and
which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
If these students started reading on page 6, what page are they on now if
they read 13 pages?
Show your thinking on the number line.
Add arrows as you count up.
Fill in the numbers.
Finish this number sentence to match the problem:
_______ + _______ = ________
0 1 2
3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
COMMON CORE STANDARD: Add and subtract within 20
5. Relate counting to addition and subtraction.
If these students started reading on page 9, what page are they on if
they read 2 pages a day for three days?
Show your thinking on the number line.
Add arrows as you count up.
Fill in the numbers.
Finish this number sentence to match the problem:
_____ + ______ + _______ + _______ = ________
0 1 2
3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
COMMON CORE STANDARD: Add and subtract within 20
5. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
2. Solve word problems that call for addition of three whole numbers
whose sum is less than or equal to 20, e.g., by using objects, drawings,
and equations with a symbol for the unknown number to represent the
problem.
If this boy started reading on page 3, what page is he on if he reads 4 pages a
day for three days?
Show your thinking on the number line.
Add arrows as you count up.
Fill in the numbers.
Finish this number sentence to match the problem:
______ + ______ + _______ + _______ = ________
0 1 2
3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
COMMON CORE STANDARD: Add and subtract within 20
5. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
2. Solve word problems that call for addition of three whole numbers
whose sum is less than or equal to 20, e.g., by using objects, drawings,
and equations with a symbol for the unknown number to represent the
problem.
If this student started reading on page 1, what page is she on now if
she read 5 pages a day for three days?
Show your thinking on the number line.
Add arrows as you count up.
Fill in the numbers.
Finish this number sentence to match the problem:
______ + ______ + _______ + _______ = ________
0 1 2
3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
COMMON CORE STANDARD: Add and subtract within 20
5. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
2. Solve word problems that call for addition of three whole numbers
whose sum is less than or equal to 20, e.g., by using objects, drawings,
and equations with a symbol for the unknown number to represent the
problem.
1
2
4
7
8
0
1
2
3
4
5
6
7
8
9
10
11
12
13
Please see contents of the Zip folder for:
Teacher Key (first 4 pages)
and Student pages (pages 5-8)
And
3 page teacher directions Word Doc