1. Instructional Strategies Aligned to the 1997
Grade 5 MAP2D
Trimester 2
Instructional Strategies
Aligned to the 1997
California Content Standards
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

2. MAP2D SBA #4 Area and Volume
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3. Let's Find the Area of Complex Figures!? ?
16 in
8 in
20 in
Find the length of the missing sides
Ch 21 L 2
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4. Find the area of the large rectangle
Complex Figures
8 in
12 in
8 in
16 in
8 in
20 in
Find the area of the large rectangle
Find the area of the small rectangle
Subtract the areas
Ch 21 L 2
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

5. Find the Area of a Shaded Region5 2 13 9
Think of putting wallpaper on a wall… 5 2
With a window
Find the area of the wall
And subtract out the window
l  w
l  w
13  9
5  2
117 10
= 107
Ch 21 L 2
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6. Let's Find the Area of a Triangle !
The FORMULA for finding the
area of a triangle is because a triangle is half of the rectangle.
5 in
4 in
Area of a rectangle is bh.
Ch 21 L 6
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7. Plan A
Plan B
4 in
5 in
Ch 21 L 6
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8. Let's Find the Area of a Parallelogram!
20 cm
10 cm
8 cm
Identify the base
Identify the height
Hint: The dotted line is an indicator of the height
Ch 21 L 7
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9. Let's Find the Area of a Parallelogram!
Hint: The dotted line is an indicator of the height
Ch 21 L 7
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10. Let's Find Surface Area of a Cube
2 m
SA = 6s2
In a cube, all six faces are identical. 1
Find the area of one face. 2
2 x 2 = 4 m2
Multiply the area of the one face by 6 to find the surface area. 3
SA = 6 • 4
SA = 24 m2
Ch 22 L 1
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11. Let's Find Surface Area of a Rectangular Prism
3 cm
2 cm
7 cm
Draw the net for the prism and label each with a letter. 1
Find the area of each rectangle. 2
The surface area is the sum of the areas of all the faces of the prism. 3
Ch 22 L 1
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

12. Let's Find Surface Area of a Rectangular Prism
3 cm
2 cm
7 cm
7 cm
3 cm
2 cm F
Draw the net for the prism and label each with a letter. A B C D E
Ch 22 L 1
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13. Let's Find Surface Area of a Rectangular Prism
3 cm
2 cm
7 cm
7 cm
3 cm
2 cm E
Find the area of each rectangle and record in a table.
Hint: Identical Face Pairs A B C D
A = C
B = D
E = F F
Ch 22 L 1
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

14. Let's Find Surface Area of a Rectangular Prism
3 cm
2 cm
7 cm
The sum of the areas of all the faces equals the surface area of the prism.
SA = = 82 cm2
Ch 22 L 1
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15. V Let’s Find Volume! 5 ft 2 ft 10 ft V = L x W x H
Volume = Length x Width x Height OR
V = L x W x H
V = 10 x 2 x 5 L W V
V = 20 x 5
V = 100 ft3 x H
Ch 22 L 3
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16. Let's Find Perimeters and Areas of Rectangles!
Perimeter is the sum of all sides
Area is the number of square units in a region.
8 ft
4 ft
Ch. 22.4
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17. Fraction, Decimal, and Percent
MAP2D
SBA #5
Fraction, Decimal, and Percent
Concepts
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18. Prime Numbers
 What are the first seven prime numbers?
2, 3, 5, 7, 11, 13, 17
One is NOT PRIME because it does not have exactly two factors.
 One is NOT COMPOSITE because it does not have more than two factors.
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5
Ch. 5 L 1 & 5

19. Let’s Factor and Use Exponents!
PROBLEM: Write the prime factorization of 56.
 What are 2 factors with a product of 56? 56
Circle the PRIME FACTORS and… 7 8
 Continue to factor any COMPOSITE NUMBERS. 2 4
 Continue until only prime numbers remain. 2 2
 Write prime factorization in exponential form.
56 = 23•7
Ch. 5
L 5
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20. Let's Find Equivalent Fractions !
You can multiply both the numerator and denominator of a fraction by any number except zero to find equivalent fractions. 6 15 2 5 2 5 4 10 3 2 x x = = 3 2 x x
EQUIVALENT FRACTIONS
Ch. 6 L 1
Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 5

21. Let's Find Equivalent Fractions !
You can divide both the numerator and denominator of a fraction by any number except zero to find equivalent fractions. 4 6 = ÷ 2 8 12 4 6 = 2 3 ÷
EQUIVALENT FRACTIONS
Ch. 6 L 1
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22. Let’s Simplify Fractions!2 5 6 1
PROBLEM: Simplify
 REWRITE both the numerator and denominator using prime factors
 DIVIDE OUT common factors (CANCEL)
 Multiply the remaining numbers for the simplified fraction 3
Ch. 6 L 2 x
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

23. Tips for Recognizing Simplified Fractions
 When the numerator and denominator are CONSECUTIVE numbers the fraction is in simplest form.
and many more!
 When the denominator is PRIME the fraction is in simplest form.
and many more!
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

24. Tips for When to Simplify a Fraction
 You must simplify a fraction if both numbers are EVEN.
and many more!
 You must simplify a fraction if the denominator is DIVISIBLE by the numerator.
and many more!
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

25. Let’s Convert Mixed Numbers to Improper Fractions!
FIRST multiply denominator
by the whole number
FIRST
3 x 4
How many thirds are in the whole number?
3 x 4 = 12 1 2 3 4 5 6 7 8 9 10 11 12
NEXT
PLUS how many thirds are in the fraction?
NEXT
12 + 2
= 14 14
TOTAL THIRDS =
add the product
to the numerator 13 14 =
LAST
The sum is the numerator 3
Keep the same denominator
Ch 6 L 3
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

26. Let’s Convert Improper Fractions to Mixed Numbers!2 1 5 3 = = 5 3 3 3 1 2 1
Improper Fraction
Mixed Number
Divide
Ch 6 L 3
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27. Mixed Numbers on the Number LineA M T H 8 9 10 11
Let’s Find Point A on the Number Line:
 Write down the whole number to the left of your point.
 Count the spaces between the two numbers and that is the denominator for the fraction.
 Count the spaces between the whole number and your point and that is the numerator for the fraction.
Point A is located at
Ch.6 L 7
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28. . Let's Convert Fractions to Decimals ! Now Divide
First, add a decimal and
write 2 zeros.
Next, put a decimal in the quotient. .
Now Divide
Ch. 6 L 6
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29. “One fourth is equal to twenty-five hundredths”
Let's Convert Fractions to Decimals ! 8
2 0
= 0.25
START
HERE
Decimal 1
“One fourth is equal to twenty-five hundredths” OR
“One quarter is worth twenty-five cents”
Fraction
= 0.25
Ch. 6 L 6
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30. Let's Convert Decimals to Fractions !
2.Simplify the fraction using prime factorization. 1
1.Write the decimal as a fraction.
Ch. 6 L 6
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31. Relating Fractions and Decimals4 2 5
tens
hundredths
Decimal point
hundreds
ones
tenths
4.2 5
= OR 4
Four and twenty-five hundredths
Ch. 6 L 6
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32. Mixed Numbers on the Number LineA M T H 8 9 10 11
Example: What number does Point T represent on the number line?
Point T is located at
Ch.6 L 7
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33. Fractions and Decimals Represent The Same Concept
Decimal Value
Say it in words
Fraction Value
Three tenths
Twenty-three hundredths
Seventeen thousandths
Chapter 16
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34. What does it mean to find a fraction of something?
of a number?
What does it mean to find 2 1 1
What is
of 50? 2 1 1 2 1
means of 2
2 equal parts
So, how do I find two equal parts of 50?
Divide by 2! 25
25 is half of 50. 2 50
of 50 is 25. 2 1
Chapter 16
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

35. What does it mean to find a fraction of something?
of a number?
What does it mean to find 4 1 1
What is
of 40? 4 1 1 4 1
means of 4
4 equal parts
So, what is 1 of 4 equal parts of 40?
Divide by 4! 10
10 is one-fourth of 40. 4 40
of 40 is 10. 4 1
Chapter 16
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36. Percents are Decimals and Fractions
40%
Percent means “hundredths”
40 hundredths
Write as a decimal
Write as a fraction
100 40
0.40
Simplify
Simplify 5 2
0.4
Ch 16 L 1
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37. You should memorize some Fraction – Decimal – Percent Equivalents
25% 1 4
0.25 25
100
Hundredths
Simplified fraction
Simplified decimal
Percent
50% 1 2
0.50
0.5 50
100
Hundredths
Simplified fraction
Simplified decimal
Percent
Ch 16 L 2
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

38. You should memorize some Fraction – Decimal – Percent Equivalents
75% 3 4
0.75 75
100
Hundredths
Simplified fraction
Simplified decimal
Percent
20% 1 5
0.20
0.2 20
100
Hundredths
Simplified fraction
Simplified decimal
Percent
Ch 16 L 2
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39. What does it mean to find a percent of an amount?
You are finding a PART of the amount. 0%
50%
100%
150%
200%
0% of something is NONE of the amount, or ZERO
50% of something is HALF of the amount
100% of something is ALL of the amount
150% of something is ONE AND A HALF times the amount
200% of something is TWICE the amount
Ch 16 L 5
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

40. What does it mean to find a percent of an amount?
You are finding a PART of the amount. 
Change the PERCENT
to a
FRACTION or a DECIMAL 
Then MULTIPLY times the amount 
Check that your answer makes sense
Ch 16 L 5
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41. What does it mean to find a percent of an amount?
What is 25% of 40?
Change the PERCENT to a
FRACTION or a DECIMAL 
I know 25% is
Then MULTIPLY times the amount  40 1 10
= 10 
Check that your answer makes sense
Could 25% of 40 be 10?
Sure. 10 is less than half of 40.
Ch 16 L 5
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

42. What does it mean to find a percent of an amount?
What is 18% of 50?
Change the PERCENT to a
FRACTION or a DECIMAL 
18% is not a friendly fraction, so I’ll make it a decimal. 18% = 0.18
Then MULTIPLY times the amount 
0.18
x 50 = 9 
Check that your answer makes sense
Could 18% of 50 be 9?
Sure. 9 is less than half of 50.
Ch 16 L 5
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5

43. Let's Find 10% and 20% of a Number !75 50
X .10
7.50
5.00
X .20
15.00
7.5
X 2
15.0 5
X 2 10
10.00 OR
Notice that 20% of a number
is 2 times 10% of a number.
Ch 16 L 5
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44. Addition & Subtraction
MAP2D
SBA #6
Fractions
Addition & Subtraction
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45. Let’s Add Fractions! 2 6 3 Yes Can we simplify? Use prime factors
When the denominators are the same, add the numerators: 1 2 6 3
Can we simplify?
Use prime factors
Yes
Ch. 7 L 2
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46. Let’s Add Fractions! No Yes Why not? They have unlike denominators.
PROBLEM:
 Can we add these as they are? No
Why not?
They have unlike denominators.
TO FIND A COMMON DENOMINATOR:
 First ask if one denominator goes into the other.
Does 3 go into 12 evenly?
Yes
We will use 12 as the common denominator.
Ch. 8.4 & 8.5
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47. Let’s Add Fractions! + 2 6 3 Yes x 4 Can we simplify?
 Multiply numerator and denominator by the same number
 REWRITE and ADD 2 6 3 1
 SIMPLIFY if possible
Yes
Can we simplify?
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5
Ch. 8.4 & 8.5

48. Let’s Add Fractions! No Can we simplify? 5 and 6 are consecutive
PROBLEM:
 Multiply denominators to find common denominator
x 3
x 2
 Multiply numerator and denominator by the same number
 REWRITE and ADD
 SIMPLIFY if possible
Can we simplify? No
5 and 6 are consecutive
Ch. 8.4 & 8.5
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49. Let’s Use the Ladder to Find the Least Common Denominator (LCD)!
Example: 8 2 12
 WRITE the two denominators on one line 2 4 6
 Draw a step in the shape of an “L” 2 3
 DIVIDE both numbers by the smallest prime number possible
 LCD makes an L
LCD = 2  2  2  3 = 24
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5
Ch 8 L 4

50. Let’s Use the Ladder for LCM, GCF and Simplifying Fractions!
 WRITE the two numbers on one line. 2 24 36 2 12 18
 Draw a step in the shape of an “L” 3 6 9
 DIVIDE both numbers by the smallest prime number possible 2 3
 LCM makes an L:
LCM = 2  2  3  2  3 = 72
GCF is down the left side:
GCF = 2  2  3 = 12
Simplified fraction is on the bottom
Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5.
Ch 8 L 4

51. Let’s Use the Ladder to Find the Least Common Denominator (LCD)!
 MULTIPLY numerator and denominator by the same number
x 3
x 2 +
 REWRITE and ADD
 SIMPLIFY if possible No
Can we simplify?
(There are no common factors)
Copyright ©, Long Beach Unified School District. All rights reserved - Grade 5.
Ch. 8 L 4

52. Subtracting a Fraction from a Whole Number
Regrouping
PROBLEM:
 Can we subtract the fraction part as they are? No
Why not?
We need to regroup the whole number to make a fraction.
5 = 4 + 1
 REGROUP
 REWRITE the problem
5 = 4 +
 SUBTRACT
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5
Ch. 7 L 4

53. Let’s Subtract with Renaming!
4 = 3 + 1
4 = 3 +
 Regrouping 6
PROBLEM:
Find common denominators
x 2
x 1 - =
 REGROUP
We need to regroup the whole number to make a fraction.
 REWRITE the problem
 SUBTRACT and Simplify
= 3
= 1
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 5
Ch. 9 L 4