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Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
1
Grade 4 MAP2D
Trimester 3Instructional Strategies
Aligned to the 1997California Content Standards
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2
MAP2D
SBA #7
Algebra
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3
Parentheses
Multiply or Divide from Left to RightExponents
Add or Subtract from Left to Right
Ch. 6 L 3
4 2 + (2 x 3)
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4
PParentheses
MMultiply or DDivide from Left to Right
EExponents
AAdd or SSubtract from Left to Right
Order of Operations
(there are no exponents)
(divide 4 2)
(add 2 plus 6)
PROBLEM: Simplify 4 2 + (2 x 3)
4 2 + (2 x 3)
4 2 + 6
2 + 6
8
Ch 6 L 3
(multiply 2 times 3)
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5
)1020()315( 1018
28
Parentheses First
Add or Subtract from Left to Right
(No Multiplication or Division)
Ch. 4 L 2
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6
Parentheses First
Add or Subtract from Left to Right 30
(No Multiplication or Division)
Ch. 4 L 2
20290300 2010
20)140150(300
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7
4)10( m
12
6m
416
4)610(
Ch 4 L 3
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)15(4 p
24
5p
204 )155(4
Ch. 4 L 3
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9
n = 6
54 + 5
9n + 5
9 x 6 + 5
59
Substitute for the variable
(No Parentheses)Multiplication or Division from Left to Right
Add or Subtract from Left to Right
Ch. 6 L 4
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10
155n
200 n55
20n
Use inverse operation to find the missing variable.
Ch. 4 L 4
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11
3515m
200 m1515
20m
Use inverse operation to find the missing variable.
Ch. 4 L 4
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12
55 k
010 k55
k10
Use inverse operation to find the missing variable.
Ch. 4 L 4
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13
427 k
Ch 6 L 5
742
77 k
61 k
Undo multiplication
4267
Step 1
Step 2
Step 3Check
Simplify 6k
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14
n945
Ch 6 L 5
99
945 n
n5
Undo multiplication
5945
Step 1
Step 2
Step 3Check
Simplify
n15
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15
59
c
Ch 6 L 5
959
9 c
45c
Undo Division
5945
Step 1
Step 2
Step 3Check
Simplify451 c
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16
Let’s Add Equals by Equals!Keep an Equation Equal by Adding the same
amount to both sides!
Example 1:
45 + 6 = 45 +
45 + 6 = 45 +
6 =
Example 2:
4 + 10 + 8 = + 4
4 + 10 + 8 = + 4
18
18 =
3 + 4 4 + 3=
Ch 4 L 5
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17
Let’s Multiply Equals by Equals!Keep an Equation Equal by Multiplying the
same amount to both sides!
Example 1:
5 x 4 = 4 x
5 x 4 = 4 x
5 =
Example 2:
2 x 3 x 8 = 2 x 3 x
4 x 6 6 x 4=
Ch 6 L 6
2 x 3 x 8 = 2 x 3 x
8 =
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18
MAP2D
SBA #8
Probability and Statistics
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19
Ch. 13 L 3
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81Median: The Middle number of the data.
35, 40, 81, 39, 40
35, 39, 40, 40, 81 Median = 40
Hint: If there is no middle number, add the two in the middle and divide by 2.
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20
Ch. 13 L 3
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81Mode: The number that occurs Most often in the data.
35, 40, 81, 39, 40
35, 39, 40, 40, 81 Mode = 40
Hint: Sometimes there is no mode or more than one mode.
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21
Ch. 13 L 4
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81Outlier: The value that is separated (“OUT”) from the rest of the data.
35, 40, 81, 39, 40
35, 39, 40, 40, 81 Outlier = 81
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22
Likelihood of an EventThe likelihood of an event is the
probability that the event will occur.
Some events are certain and you know that they must happen. For example, if you reach into this bag you will pull out a cube.
Some events are impossible and you know that they can never happen. For example, if you reach into this bag you will not pull out a pig.
Ch. 24 L 3
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23
Let’s Make Predictions
than notMore often
0
11/2
than notLess often
impossible unlikely equally likely certain
likely
Ch. 24 L 3
You can predict (make a reasonable guess) about what might happen in an experiment.
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24
Let’s Show Probability as a Fraction
= 12
Probablility of pulling a yellow block
The probability of an event equals:
outcomes possible of numberoutcomes favorable of number
P(event)
P (Yellow) =
yellow blocks
blocks in the bag
Ch. 24 L 4
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25
Let’s List Possible OutcomesYou can make a list or a table to
show the possible outcomes of an
experiment.
What are all the possible outcomes when 2 dice are rolled?
Outcomes
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
36 O
utco
mes
Ch. 24 L1
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26
Let’s Make a Tree DiagramYou can use a
tree diagram to find the possible outcomes of an
event.
What are all the possible outcomes when 2 dice are rolled?
1st Die 2nd Die Outcome
1
2
3
4
5
6
123456
123456
123456
123456
123456
123456
1, 11, 21, 31, 41, 51, 6
2, 12, 22, 32, 42, 52, 6
3, 13, 23, 33, 43, 53, 6
4, 14, 24, 34, 44, 54, 6
5, 15, 25, 35, 45, 55, 6
6, 16, 26, 36, 46, 56, 6
36 O
utco
mes
Lesson 24.6
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MAP2D
SBA #9
Problem Solving
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“Multistep Problem”
U PS
Understand: Read the problem and think about the question. Each word is important. Missing a word or reading it incorrectly could cause you to get the wrong answer.
Plan: Think about how you can solve the problem. Look for key words and numbers. What do you need to do first? What do you need to do next?
Solve: Follow your plan, working logically and carefully. Make sure you solved all steps needed to answer the problem. Be sure you answered the question asked.
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29
“Choose the Operation” This table will help you decide which operation you
can use to solve the problem.
Add Join groups of the same or different sizes
Subtract Take away or compare groups
Multiply Join equal-size groups
Divide Separate into equal-size groups
The cafeteria served 132 pizza lunches. Each pizza was cut into 12 slices. If each student received 1 slice, how many pizzas were served?
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30
“Predict and Test” Sometimes, you can make an educated prediction to
solve a problem and then test your prediction. Record your predictions with a list or table.
Make a list
What are 3 consecutive numbers whose sum is 15?
Make a table
Mary is thinking of two numbers. The sum of the numbers is 15, and the difference of the numbers is 3.
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31
“Write an Equation”
To write an equation, choose a variable to represent an unknown quantity. Remember that an equation is a number sentence that shows that two quantities are equal.
Alan’s class has set up seats for the play. There are 7 seats in each row. There are 56 seats in all. How many rows of seats are there?
s × 7 = 56 Let s represent the number of rows of seats. s = ?
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