1. Instructional Strategies Aligned to the 1997
Grade 4 MAP2D
Trimester 3
Instructional Strategies
Aligned to the 1997
California Content Standards
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2. MAP2D
SBA #7
Algebra
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3. Multiply or Divide from Left to Right
Order of Operations
Parentheses
Exponents
Multiply or Divide from Left to Right
Add or Subtract from Left to Right
4  2 + (2 x 3)
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Ch. 6 L 3

4. PROBLEM: Simplify 4  2 + (2 x 3)
Order of Operations
PROBLEM: Simplify 4  2 + (2 x 3)
Parentheses
4  2 + (2 x 3)
(multiply 2 times 3)
Exponents
4 
(there are no exponents)
Multiply or Divide from Left to Right
(divide 4  2)
Add or Subtract from Left to Right 8
(add 2 plus 6)
Ch 6 L 3
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5. Let's Simplify Expressions
Parentheses First
(No Multiplication or Division)
Add or Subtract
from Left to Right
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Ch. 4 L 2

6. Let's Simplify Expressions20 )
140
150 (
300 + -
Parentheses First
(No Multiplication or Division)
Add or Subtract
from Left to Right
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Ch. 4 L 2

7. Let's Evaluate Expressions
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Ch 4 L 3

8. Let's Evaluate Expressions
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Ch. 4 L 3

9. Let's Evaluate Expressions
Substitute for the variable
9 x
(No Parentheses)
54 + 5
Multiplication or Division from Left to Right 59
Add or Subtract
from Left to Right
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Ch. 6 L 4

10. Let's Solve Algebraic Equations
Use inverse operation to find the missing variable.
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Ch. 4 L 4

11. Let's Solve Algebraic Equations
Use inverse operation to find the missing variable.
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Ch. 4 L 4

12. Let's Solve Algebraic Equations
Use inverse operation to find the missing variable.
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Ch. 4 L 4

13. Step 1 Step 2 Step 3 Let's Solve Equations Undo multiplication
Simplify
Step 3
Check
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Ch 6 L 5

14. Step 1 Step 2 Step 3 Let's Solve Equations Undo multiplication
Simplify
Step 3
Check
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Ch 6 L 5

15. Step 1 Step 2 Step 3 Let's Solve Equations Undo Division Simplify
Check
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Ch 6 L 5

16. 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 = = = 18
18 =
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!
4 x 6 =
6 x 4
Example 1:
5 x 4 = 4 x
5 =
Example 2:
2 x 3 x 8 = 2 x 3 x
2 x 3 x 8 = 2 x 3 x
8 =
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Ch 6 L 6

18. Probability and Statistics
MAP2D
SBA #8
Probability and Statistics
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19. Let's Find the Median
35, 40, 81, 39, 40
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1
Median: The Middle number of the data.
Hint: If there is no middle number, add the two in the middle and divide by 2.
35, 39, 40, 40, 81
Median = 40
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Ch. 13 L 3

20. Let's Find the Mode
35, 40, 81, 39, 40
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1
Mode: The number that occurs Most often in the data.
Hint: Sometimes there is no mode or more than one mode.
35, 39, 40, 40, 81
Mode = 40
Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4
Ch. 13 L 3

21. Let's Find the Outlier
35, 40, 81, 39, 40
Put the numbers in order from least to greatest: 35, 39, 40, 40, 81 1
Outlier: The value that is separated (“OUT”) from the rest of the data.
35, 39, 40, 40, 81
Outlier = 81
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Ch. 13 L 4

22. 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.
Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4
Ch. 24 L 3

23. Let’s Make Predictions
You can predict (make a reasonable guess) about what might happen in an experiment.
than not
More often 1
1/2
Less often
impossible unlikely equally likely certain
likely
Ch. 24 L 3
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24. Let’s Show Probability as a Fraction
The probability of an event equals:
yellow blocks
P (Yellow) =
blocks in the bag 1
Probablility of pulling a yellow block = 2
Ch. 24 L 4
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25. Let’s List Possible Outcomes
You can make a list or a table to show the possible outcomes of an experiment.
Outcomes
36 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)
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
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26. Let’s Make a Tree Diagram
1st Die
2nd Die
Outcome
You can use a
tree diagram to find the possible outcomes of an event. 1 2 3 4 5 6
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
36 Outcomes 1 1 2 3 4 5 6 2 1 2 3 4 5 6
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6 3
What are all the possible outcomes when 2 dice are rolled? 1 2 3 4 5 6
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6 4 1 2 3 4 5 6
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6 5 1 2 3 4 5 6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6 6
Lesson 24.6
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27. MAP2D Problem Solving SBA #9
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28. U P S “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.
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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” Make a list
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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