application problem
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Application Problem. The Recreational District has added a new Little League field. Each of the 4 bases is 75 feet apart and the bases make a perfect square on the field. Aubrey hit a homerun and ran the bases. How far did he run? Are you trying to find the area or the perimeter? - PowerPoint PPT PresentationTRANSCRIPT
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The Recreational District has added a new Little
League field. Each of the 4 bases is 75 feet apart
and the bases make a perfect square on the
field. Aubrey hit a homerun and ran the bases.
How far did he run?
Are you trying to find the area or the perimeter?
How do you know?
Application Problem
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Read
Square, 75 feet each side
Illustrate
Compute75 x 4 =
(70 x 4) + (5 x 4) = 280 + 20 =
300 ft. =
Explain
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Rectangular Sections compared to
Standard Algorithm
10 6
10 100 60 160
2 20 12 +32
120+
72192
16
X12
32
160
192
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20 4 20 400 80 480
5 100 20+12
0
500100
600
1. 25 x 24
30 8
90 2,700 560 3,260
3 90 24 +114
2,790 584 3,374 60 5
40 2,400 200 2,600
2 120 10 +130
2,520 210 2,730
2. 93 x 38
3. 42 x 65
Practice Problems
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Mental Math and Multiplication
Step 1: Break apart 298 300 – 2 = 298
Step 2: Write a number sentence. (6 x 300) – (6 x 2)
Step 3: Solve1800 – 12 = 1788
1. 6 x 298
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Mental Math and Multiplication
Step 1 – Estimate with one of the numbers. 214 ≈ 200 and 8 ≈ 10
(≈ means about)
Step 2 – Write a number sentence. (8 x 200) + (8 x 14) =
or (10 x 214) – (2 x 214) =
Step 3 – Solve 1600 + 112 = 2140 – 428 = 1712
2. 8 x 214
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Mental Math and Multiplication
Step 1 – Remember how to multiply by multiples of 10.
Step 2 – Write a number sentence. (10 x 50) + (4 x 50) =
Step 3 – Solve 500 + 200 = 700
3. 14 x 50
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Mental Math and Multiplication
Step 1 – Use the Commutative Property to change the order of the factors
2 x 50 x 9Step 2 – Write a new number sentence.
(2 x 50) x 9 =
Step 3 – Solve 100 x 9 = 900
4. 2 x 9 x 50
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Independent PracticeArea and Perimeter – WK p. 175 problems 3 and 4
Find both the area and perimeter.Rectangular MultiplicationSolve 1. 45 x 91 2. 87 x 56
Multiplication and Mental Math – WK 55 problems 1–4
Tell the strategy you used.
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Independent PracticeAn orchard has 6 rows of apple trees with 8 tree in each row. Each apple tree is ten feet wide/across. What is the perimeter of the orchard?Mrs. DiCarlo decided to add some pear trees to the orchard. She planted 5 rows of pear trees with 9 trees in each. How many pear trees does she have?The pear trees are each ten feet wide/across. Which part of the orchard covers more area, the apple or the pear?