1. Instructional Strategies Aligned to the 1997
Grade 4 MAP2D
Trimester 2
Instructional Strategies
Aligned to the 1997
California Content Standards
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2. MAP2D
SBA #8
Measurement
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3. Let's Learn How to Find Lengths on a Coordinate Plane !Y
You can find the vertical and horizontal distances between points on a coordinate plane by counting the units between the points.
( 1, 1 ) X
( 1, -1 )
The distance between (1, 1) and (1, -1) is 2 units.
Ch.15 L 5
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4. Let's Learn How to Find the Distance Between Two Points !Y
To find the length of
a segment that is not shown on a grid or where only the ordered pairs are given, cross out the common coordinate and find the difference of the other ones.
( 1, 2 )
( 3, 2 ) X
EXAMPLE:
(3, 2) and (1, 2)
3 – 1 = 2
Ch.15 L 5
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5. Customary Measurements
Use multiplication and/or a table to convert measurements from a larger unit to a smaller unit.
Capacity
2 pints = __ cups
2 x 2 = 4
2 pints = 4 cups
Pints 1 2 3
Cups 4 ?
Length
2 yards = __ feet
2 x 3 = 6
2 yards = 6 feet
Yards 1 2 3
Feet 6 ?
Weight
2 pounds = __ ounces
2 x 16 = 32
2 pounds = 32 ounces
Pounds 1 2 3
Ounces 16 32 ?
Ch 23 L 1
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6. Customary Measurements
Have students memorize the “BIG G” to help them with capacity conversions.
You can see from the diagram that 4 quarts are equal to 8 pints.
Ch 23 L 1
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7. + + + Let's Find Perimeter ! 8 ft How many sides does the figure have?1
How many sides does the figure have?
Fill in the missing measurements.
Draw the same number of blanks. + + + 3
Put the length of each side in a blank.
Hint: Start at the top and go clockwise. 4
Find the sum of the sides.
Ch. 23 L 4
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3 m

8. + + + Let's Find Perimeter ! 8 ft 4 ft 4 ft 8 ft1
4 ft
8 ft
Fill in the missing measurements.
Draw the same number of blanks. + + + 8 4 8 4 3
Put the length of each side in a blank.
Find the sum of the sides.
The perimeter is 24 feet. 4
Ch. 23 L 4
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3 m

9. P = 24 ft Let's Find Perimeters and Areas of Rectangles! 4 ft 8 ft
Perimeter is the sum of all sides
Area is the number of square units in a region.
8 ft
4 ft
A = 32 sq ft
P = 24 ft 4
Ch & 23.7
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10. Let's Find the Area of Complex Figures!? ?
16 in
8 in
20 in
Find the length of the missing sides.
Ch. 23 L 8
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11. 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. 3
Ch. 23 L 8
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12. MAP2D
SBA #5
Fractions
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13. 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.
Ch. 12 L 2
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14. Let’s Find Prime Factors!
PROBLEM: Make a factor tree to find the prime factors of 56.
 What are 2 factors with a product of 56? 2 56 7 8 4
Circle the PRIME FACTORS and…
 Continue to factor any COMPOSITE NUMBERS.
 Continue until only prime numbers remain.
56 = 2 x 2 x 2 x 7
 Write the prime factors.
Ch. 12 L 4
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15. Let’s Find a Fraction of a Whole Number
What is 1 of 16? 4
1. Rewrite 16 as a fraction. 16 1
2. Multiply the numerators
and denominators. 16 4 1 x = 16 4 =
3. Divide
of 16 is 1 4
Ch16 L 1
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16. Let’s Simplify Fractions!1 2 5
PROBLEM: Simplify
 REWRITE both the numerator and denominator using prime factors
 DIVIDE OUT common factors (CANCEL) 2 6
 Multiply the remaining numbers for the simplified fraction 1 2 3
Ch. 16 L 2
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17. Simplifying Fractions!3 3 3 1 1 3 3 × 3 3 = = 2 2 × 2 2 × 3 3 1 1 6 2 3 6 2 3 2
Simplest Form
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18. 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!
Ch. 16 Enrichment
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19. 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!
Ch. 16 Enrichment
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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. 16 L 2
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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. 16 L 2
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22. Let's Compare & Order Fractions !3 7 4 7 OR
IF THE DENOMINATORS ARE ALIKE,
COMPARE THE NUMERATORS. 3 7 4 7
Ch.16 L 3
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23. 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.16 L 5
Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

24. Let's Convert Mixed Numbers
to Improper Fractions ! 1 2 3
FIRST multiply denominator
by the whole number
3 x 1 = 3 x
FIRST
NEXT
NEXT add the product
to the numerator 2 3 5 3 1 +
3 + 2 = 5 =
Keep the same denominator
Ch.16 L 5
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25. Convert Improper Fractions to
Mixed Numbers 2 1 5 3 = = 5 3 3 3 1 2 1
Improper Fraction
Mixed Number
Divide
Ch. 16 L 5
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26. Let's Convert Improper Fractions
to Mixed Numbers !
1 r 2 3 2 5 3 x 1 2 3 1 1 1
MIXED
NUMBER
IMPROPER
FRACTION
DIVIDE
Ch. 16 L 5
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27. r 3 10 3 NEXT 2 + x FIRST 3 5 In Algebra, answers are left as
Improper Fractions.
Ch.16 L 5
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28. Fractions on the Number Line1 2 3 1 2 3 4 5 1
Let’s Find Point N on the Number Line:
Start at the 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 zero and your point and that is the numerator for the fraction.
Point N is located at
Ch.16 L 4
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29. 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.16 L 6
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30. 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.16 L 6
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31. Let’s Add Fractions with Like Denominators!
When the denominators are the same,
keep the denominator and add the numerators. 6 2 3 1 = ×
Yes 2
Can we simplify?
Use prime factors
Ch.17 L 3
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32. MAP2D
SBA #6
Decimals
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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
Ch 18 L1
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34. 4.2 5 = 4 Reading Decimals Four and twenty-five hundredths 4 2 5
tens
hundredths
Decimal point
hundreds
ones
tenths
4.2 5
= 4
Four and twenty-five hundredths
Ch & 18.3
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35. Convert Fractions to Decimals
Write this fraction as a decimal. 8
100
___ = 8 . - - - -
1. Look at the denominator. Underline the zeros.
2. Write the numerator. Starting at the right of the numerator, move to the left underlining the number of spaces that match the number of zeros underlined.
3. Fill in any empty spaces with zeros and add a decimal point.
Chapter 18
Lesson 1
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36. Convert Decimals to Fractions
Write this decimal as a fraction
.09 _ _ 9 __ 1 _ _
1. Underline the digits to the right of the decimal.
2. Write the denominator by writing the number of zeros to match the number of digits that were underlined.
3. Write the decimal number, without the decimal, as the numerator.
Ch. 18 L 1
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37. Equivalent Decimals!
 Which decimal is greater?
0.6 or 0.60
 READ THEM CORRECTLY like reading fractions 10 6 60 is
and
0.60 is
0.6
100
 WRITING ZEROS to the right of non-zero digits does not change the value of the decimal. This is why you can fill in zeros when adding or subtracting decimals.
0.6 is equal to 0.60
Ch. 18 L 2
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38. Two hundred fifty-seven AND five tenths
Let’s Round Decimals ! 2 5 7 4 8
tens
hundredths
thousands
hundreds
tenths
ones l
Example: What is rounded to the nearest tenths?
Two hundred fifty-seven AND five tenths
Ch 19 L 1
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39. CHECK to see the answer is close to the estimate
Let’s Add Decimals!
hundredths
tenths
PROBLEM: =
tens
ones
 ESTIMATE as = 18
 REWRITE the expression vertically, line up by place value and decimals
 FILL IN the empty spaces with zeros
17.94 is close to 18 
 PLACE the decimal point in the sum
CHECK to see the answer is close to the estimate
 ADD
Ch. 19 L 5
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40. Let’s Subtract Decimals!
hundredths
tenths
PROBLEM: – 3.2 =
ones
 ESTIMATE as 9 – 3 = 6
 REWRITE the expression vertically, line up by place value and decimals
 FILL IN the empty spaces with zeros
5.75 is close to 6 
 PLACE the decimal point in the difference
CHECK to see the answer is close to the estimate
 SUBTRACT
Ch. 19 L 5
Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4