Math_Strategies_Chart

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Addition with Regrouping
-Start by adding your ones column (right column)
37
+ 27
4
-If the sum is over 9, regroup your 1 ten at the top of the tens column. Write your ones
place in the ones column.
1
37
+ 27
4
-Add the tens column (left column). Write your answer in the tens place.
1
37
+ 27
64
1
You have solved the problem!
Subtraction with Regrouping
-Start by subtracting your ones column (right column)
94
- 68
There are not enough ones to subtract.
There are more on the floor, so you go next door
to get 10 more!
-You have to mark out the top row of tens to make it one less and mark out the ones to
make it 10 more.
8 14
94
- 68
-Now you can subtract the ones column!
8 14
94
- 68
6
-Now you can subtract the tens column!
8 14
2
94
- 68
26
You have solved the problem!
Word Problem Strategies - Subtraction
Read the problem
There are 54 shells in my collection. Sixteen shells are broken. How many shells are not broken?
Circle your numbers with labels, underline the question, box the important solving words
There are 54 shells in my collection. Sixteen shells are broken. How many shells are not broken?
Draw a picture / work out the algorithm
Write an answer with the label (use
the boxed words to help with label)
4 14
54
- 16
38
38 shells not broken
Word Problem Strategies - Addition
Read the problem
There are 19 students in Mrs. Ragsdale’s class and 19 students in Mrs. Walker’s class. How many
students are in both classes?
Circle your numbers with labels, underline the question, box the important solving words
There are 19 students in Mrs. Ragsdale’s class and 19 students in Mrs. Walker’s class. How many
students are in both classes?
3
Draw a picture / work out the algorithm
1
Write an answer with the label
(use the boxed words to help with
label)
19
+ 19
38 students total
38
Word Problem Strategies - Division
Read the problem
There are 5 children sharing 15 cookies. How many cookies does each child get?
Circle your numbers with labels, underline the question, and box the important solving
words
There are 5 children sharing 15 cookies. How many cookies does each child get?
Draw a picture. Remember to divvy out the cookies to each box. You are trying to find a
smaller number when you are doing division.
3
3
3
3
Write an answer with the label
(use the boxed words to help with
label)
3
3 cookies each
Word Problem Strategies - Multiplication
Read the problem
There are 4 boxes. If we put 2 books in each box, how many books will there be?
Circle your numbers with labels, underline the question, and box the important solving
words
4
There are 4 boxes. If we put 2 books in each box, how many books will there be?
Draw a picture. Remember to put the correct amount of circles in each box and add them
together. You are looking for a larger number with multiplication.
2
+
2
+
2
+ 2
Write an answer with the label
(use the boxed words to help with
label)
=8
8 books total
Coin Counting Strategies
Label the coins with their amounts or count up. (Whichever works best for you)
25
10
5
1
25
35
40
41
or
Add the amounts together.
25 + 10 = 35 + 5 = 40 +1 = 41
Total: 41 cents
Multiple Representation Chart
Place Value
H T O
1 1 1
Pictorial
5
Numeral
111
Expanded
Written
100+10+1
One hundred eleven
Counting in Patterns (Skip Counting)
Look at the pattern. See if you are increasing or decreasing from left to right.
The increasing or decreasing amount will not change.
+5
+5
5, 10, ____, 20, 25, ____, ____, 40, ____, ____, 55 (adding 5 in each blank)
Once you have the pattern, fill in the numbers.
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 (notice the ones place ends 5, 0, 5, 0, etc.)
Check your work by recounting all the numbers.
Fact Families for Addition/Subtraction
Look at the three numbers given. Example: (7, 5, 2)
6
Ask yourself, how can I use these 3 numbers to make 4 number sentences?
Remember you need 2 addition sentences and 2 subtraction sentences.
The addition sentences end with the largest number.
5+2=7
2+5=7
The subtraction sentences begin with the largest number.
7–5=2
7–2=5
2D Polygons
They are flat, have at least 3 straight sides, and are closed.
side
vertices (Point at which each side meets)
3D Shapes
7
They are not flat. Most 3D shapes have faces, edges, and vertices. Some 3D
shapes that have curved surfaces will not have edges, faces, or vertices.
Vertices
Face
Edge
If you see these words/phrases in a word problem, circle them,
they will give you clues so you know whether you need to add or
subtract your numbers!!
Key words for addition Word Problems:
total
sum
increase
both
altogether
combined
add
plus
in all
together
8
Key Words for Subtraction Word Problems:
less than
fewer than
how much more
decrease
remains
minus
difference
fewer
how many more
take away
how many less
how many fewer
9
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