copyright ©, long beach unified school district. all rights reserved. - grade 4 1 grade 4 map 2 d...

Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

1

Grade 4 MAP2D

Trimester 3Instructional Strategies

Aligned to the 1997California Content Standards


2

MAP2D

SBA #7

Algebra


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)


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)


5

)1020()315( 1018

28

Parentheses First


(No Multiplication or Division)

Ch. 4 L 2


6

Parentheses First

Add or Subtract from Left to Right 30

(No Multiplication or Division)

Ch. 4 L 2

20290300 2010

20)140150(300


7

4)10( m

12

6m

416

4)610(

Ch 4 L 3


8

)15(4 p

24

5p

204 )155(4

Ch. 4 L 3


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


Ch. 6 L 4


10

155n

200 n55

20n

Use inverse operation to find the missing variable.

Ch. 4 L 4


11

3515m

200 m1515

20m


Ch. 4 L 4


12

55 k

010 k55

k10


Ch. 4 L 4


13

427 k

Ch 6 L 5

742

77 k

61 k

Undo multiplication

4267

Step 1

Step 2

Step 3Check

Simplify 6k


14

n945

Ch 6 L 5

99

945 n

n5

Undo multiplication

5945

Step 1

Step 2

Step 3Check

Simplify

n15


15

59

c

Ch 6 L 5

959

9 c

45c

Undo Division

5945

Step 1

Step 2

Step 3Check

Simplify451 c


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


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 =

Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

18

MAP2D

SBA #8

Probability and Statistics


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.


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.


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


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


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.


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


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


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


27

MAP2D

SBA #9

Problem Solving


28

“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.


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?


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.


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 = ?

copyright ©, long beach unified school district. all rights reserved. - grade 4 1 grade 4 map 2 d...

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