# Instructional Strategies Aligned to the 1997

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Instructional Strategies Aligned to the 1997
Grade 4 MAP2D Trimester 2 Instructional Strategies Aligned to the 1997 California Content Standards Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

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

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

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

+ + + 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 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 3 m

+ + + Let's Find Perimeter ! 8 ft 4 ft 4 ft 8 ft
1 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 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4 3 m

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

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 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 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. 3 Ch. 23 L 8 Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

r 3 10 3 NEXT 2 + x FIRST 3 5 In Algebra, answers are left as

Fractions on the Number Line
1 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 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

Mixed Numbers on the Number Line
A 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 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

Mixed Numbers on the Number Line
A 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 Copyright ©, Long Beach Unified School District. All rights reserved.- Grade 4

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

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

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

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

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

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

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

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

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

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