Grade 4
2
MAP D
Trimester 3
Instructional Strategies
Aligned to the 1997
California Content Standards
1
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
2
MAP D
SBA #7
Algebra
2
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
Parentheses
Exponents
Multiply or Divide from Left to Right
Add or Subtract from Left to Right
4  2 + (2 x 3)
3
Ch. 6 L 3
Order of Operations
PROBLEM: Simplify 4  2 + (2 x 3)
Parentheses
(multiply 2 times 3)
Exponents
(there are no exponents)
Multiply or Divide from Left to
Right
(divide 4  2)
Add or Subtract from Left to
Right
(add 2 plus 6)
4  2 + (2 x 3)
4 2 + 6
2 + 6
8
Ch 6 L 3
4
(15  3)  (20 10)
18 
10
Parentheses First
(No Multiplication or Division)
28
Add or Subtract
from Left to Right
5
Ch. 4 L 2
300  (150 140)  20
300  290  20
(No Multiplication or Division)
10  20
Parentheses First
Add or Subtract
from Left to Right
30
6
Ch. 4 L 2
m6
(10  m)  4
(10  6)  4
16 4
12
7
Ch 4 L 3
p 5
4  ( p 15)
4  (5 15)
4  20
24
8
Ch. 4 L 3
n=6
Substitute for the variable
(No Parentheses)
Multiplication or Division
from Left to Right
Add or Subtract
from Left to Right
9n + 5
9x6 +5
54 + 5
59
9
Ch. 6 L 4
Use inverse operation to find the missing variable.
n  5 15
 5  5
n  0  20
n  20
10
Ch. 4 L 4
Use inverse operation to find the missing variable.
m 15 35
 15   15
m  0  20
m  20
11
Ch. 4 L 4
Use inverse operation to find the missing variable.
5 k 5
5
5
10  k  0
10  k
12
Ch. 4 L 4
Step 1
Undo multiplication
Step 2
Simplify
Step 3
Check
Ch 6 L 5
7k  42
7k 42

7 7
1k  6
k 6
7  6  42
13
Step 1
Undo multiplication
Step 2
Simplify
Step 3
Check
45 9n
45 9n

9 9
5  1n
5 n
45  9  5
14
Ch 6 L 5
Step 1
Undo Division
Step 2
Simplify
Step 3
Check
Ch 6 L 5
c
5
9
c
9 5  9
9
1c  45
c  45
45
5
9
15
Let’s Add Equals by Equals!
Keep an Equation Equal by Adding the same
amount to both sides!
3+4
=
4+3
Example 2:
Example 1:
45 + 6 = 45 +
4 + 10 + 8 =
+4
45 + 6 = 45 +
4 + 10 + 8 =
+4
6=
18
18 =
Ch 4 L 5
16
Let’s Multiply Equals by Equals!
Keep an Equation Equal by Multiplying the
same amount to both sides!
4x6
Example 1:
=
6x4
Example 2:
5x4=4x
2x3x8=2x3x
5x4=4x
2x3x8=2x3x
5=
Ch 6 L 6
8=
17
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
2
MAP D
SBA #8
Probability and Statistics
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
18
35, 40, 81, 39, 40
Put the numbers in order from least
to greatest: 35, 39, 40, 40, 81
Median: The Middle number of the
data.
Hint: If there is no
middle number, add
35, 39, 40, 40, 81
the two in the middle
Median = 40
Ch. 13 L 3
and divide by 2.
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
19
35, 40, 81, 39, 40
Put the numbers in order from least
to greatest: 35, 39, 40, 40, 81
Mode: The number that occurs Most
often in the data.
35, 39, 40, 40, 81
Mode = 40
Ch. 13 L 3
Hint: Sometimes
there is no mode or
more than one mode.
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
20
35, 40, 81, 39, 40
Put the numbers in order from least
to greatest: 35, 39, 40, 40, 81
Outlier: The value that is separated
(“OUT”) from the rest of the data.
35, 39, 40, 40, 81
Outlier = 81
Ch. 13 L 4
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
21
Likelihood of an Event
The 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
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
22
Let’s Make Predictions
You can predict (make a
reasonable guess) about
what might happen in an
experiment.
Less often
than not
0
impossible
Ch. 24 L 3
unlikely
More often
than not
1/2
equally
likely
1
likely
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
certain
23
Let’s Show Probability as a Fraction
The probability of an
event equals:
number of favorable outcomes
P(event) 
number of possible outcomes
P (Yellow) =
yellow blocks
blocks in the bag
Probablility of pulling a
yellow block
Ch. 24 L 4
=
1
2
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
24
Let’s List Possible Outcomes
You can make a
list or a table to
show the possible
outcomes of an
experiment.
Outcomes
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
What are all the
possible outcomes
when 2 dice are
rolled?
(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)
Ch. 24 L1
Copyright ©, Long Beach Unified School District. All rights reserved.Grade 4
25
36 Outcomes
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
Let’s Make a Tree Diagram
What are all the
possible outcomes
when 2 dice are
rolled?
1
2
1
2
3
4
5
6
3
4
5
6
Lesson 24.6
2nd Die
Copyright ©, Long Beach Unified School District.
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
54
All rights reserved.- Grade
6
Outcome
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
36 Outcomes
You can use a
tree diagram to
find the possible
outcomes of an
event.
1st Die
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6
26
2
MAP D
SBA #9
Problem Solving
27
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
“Multistep Problem”
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.
U
P
S
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.
28
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
“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?
29
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
“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
Make a table
What are 3 consecutive
Mary is thinking of two
numbers whose sum is 15? numbers. The sum of the
numbers is 15, and the
difference of the numbers is
3.
30
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4
“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 = ?
31
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4