Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 1 Grade 5 MAP 2 D Trimester 3 Instructional Strategies Aligned to the 1997

Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5.1

Grade 5 MAP2D

Trimester 3Instructional Strategies

Aligned to the 1997California Content

Standards


MAP2D

SBA #7

Algebra and the Coordinate Plane


322422

Parentheses

Multiply or Divide from Left to RightExponents

Add or Subtract from Left to Right

Ch. 14 L 2


PParentheses

MMultiply or DDivide from Left to Right

EExponents

AAdd or SSubtract from Left to Right

Order of Operations

(there are none here)

(perform 2 squared first)

(divide 4 2 and multiply 23)

(subtract 4-2, then add 6)

PROBLEM: Simplify 22 – 4 2 + 2 3

22 – 4 2 + 2 3

4 – 4 2 + 2 3

4 – 2 + 6 2 +

68Ch 14 L 2


Parentheses First

Add or Subtract from Left to Right

Multiplication or Division from Left to Right

Ch. 14 L 2

60 – 3 x (10 + 8)

60 – 3 x 18

60 - 54

6


Ch. 14 L 2

Parentheses First

Substitute for the variable

Multiplication or Division from Left to Right(No Addition or Subtraction)

4 x ( p + 15)

4 x 20

4 x (5 + 15)

80

p = 5


Ch. 14 L 2

m = 6 (10 + m) 4Substitute for the variable

Parentheses First

Multiplication or Division from Left to Right(No Addition or Subtraction)

(10 + 6) 4

16 4

4


Ch. 14 L 2

n = 6

54 + 5

9n + 5

9 6 + 5

59

Substitute for the variable(No Parentheses)

Multiplication or Division from Left to RightAdd or Subtract from Left to Right

The Distributive Property

Four is multiplying the quantity “x + 3”

That means four will multiply both the x and the 3!

Multiply 4 times x

PROBLEM: 4(x + 3)

Copy the operation sign Multiply 4 times 3

4(x + 3)

4 times x 4 times 3

4x + 12

Ch 14 L 5


2 xy

Ch 19 L 5

Rewrite the equation on the side of the function tablex y y = x + 2012

Substitute the given value for the known variable

x y y = x + 2 0 2 y = 0 + 2 1 3 y = 1 + 2 2 4 y = 2 + 2


Now we will graph the ordered pairs.

x y012

y = x + 2

234

( , )( , )( , )

Draw a line through the points.

Label the line with the equation.

Ch 19 L 5


Now we will graph the ordered pairs.

x y012

y = x + 2

234

( , )( , )( , )

Ch 19 L 5


MAP2D

SBA #8

FractionsMultiplication & Division


Let’s Multiply Fractions!

PROBLEM:

REWRITE the expression

FACTOR composite numbers

83

92

3 3 DIVIDE OUT common

factors (CANCEL)

8932

121

2223332

2 4

2 2 MULTIPLY any remaining factors

The Matching Factors Method

Ch 10 L 2

1

1 1

1

Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5


PROBLEM:


Look for numbers with common factors in the numerator & denominator

83

92

DIVIDE OUT common factors (CANCEL)

8932

The Canceling Method

2 goes into both 2 and 8

3 goes into both 3 and 9

1 1

3 4

2 into 2 is?

2 into 8 is?

3 into 3 is?

3 into 9 is?Ch 10 L 2



PROBLEM:


Look for numbers with common factors in the numerator & denominator

83

92

DIVIDE OUT common factors (CANCEL)

8932

121

MULTIPLY any remaining factors

The Canceling Method

1 1

3 4

Ch 10 L 2


Let’s Convert Mixed Numbers to Improper Fractions!

How many thirds are in the whole number?

32

4FIRST multiply denominator by the whole number

3 x 4

NEXT

PLUS how many thirds are in the fraction?

3 x 4 = 12

3Keep the same denominator

LAST The sum is the numerator

32

4

12 + 2

12 + 2 = 1414

add the productto the numerator

Ch 10.3 & 10.4


35

32

1

Improper Fraction Divide

Mixed Number

53

1

32

23

Let’s Convert Improper Fractions to Mixed Numbers!

= =

Ch 10.3 & 10.4


52253

Let’s Divide Fractions!

PROBLEM:

CIRCLE the and the divisor

REWRITE as multiplication by the reciprocal

51

203

REVERSE everything in the circle!

51

203

MULTIPLY & Simplify

15

203

2053

2 10

2 5

43

Ch 10 L 7

1

1


MAP2D

SBA #9

Problem Solving


21

“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.


22

“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?


23

“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.


24

“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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Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5. 1 Grade 5 MAP 2 D Trimester 3 Instructional Strategies Aligned to the 1997