10-1 Finding Perimeter Course 1 HOMEWORK & Learning Goal HOMEWORK & Learning Goal AIMS Prep AIMS...
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Transcript of 10-1 Finding Perimeter Course 1 HOMEWORK & Learning Goal HOMEWORK & Learning Goal AIMS Prep AIMS...
10-1 Finding Perimeter
Course 1
HOMEWORK & Learning GoalHOMEWORK & Learning Goal
AIMS PrepAIMS Prep
Lesson PresentationLesson Presentation
Chapter 10 Section 16th Grade Math HOMEWORK
Page 502#6-22 EVENS
Our Learning Goal
Students will be able to find the perimeter and area of polygons; find the area and circumference of circles and find the surface
area and volume of 3D shapes.
Our Learning Goal Assignments• Learn to find the perimeter and missing side lengths of a
polygon.
• Learn to estimate the area of irregular figures and to find the area of rectangles, triangles, and parallelograms.
• Learn to break a polygon into simpler parts to find its area.
• Learn to make a model to explore how area and perimeter are affected by changes in the dimensions of a figure.
• Learn to identify the parts of a circle and to find the circumference and area of a circle.
• Learn to name solid figures.
• Learn to find the surface areas of prisms, pyramids, and cylinders.
• Learn to estimate and find the volumes of rectangular prisms and triangular prisms.
• Learn to find volumes of cylinders.
Today’s Learning Goal Assignment
Learn to find the perimeter and missing side lengths of a polygon.
Course 1
10-1 Finding Perimeter
Vocabulary
perimeter
Insert Lesson Title Here
Course 1
10-1 Finding Perimeter
The perimeter of a figure is the distance around it. To find the perimeter you can add the lengths of the sides.
Course 1
10-1 Finding Perimeter
Additional Example 1: Finding the Perimeter of a Polygon
Find the perimeter of the figure.
2.8 + 3.6 + 3.5 + 3 + 4.3
Add all the side lengths.
The perimeter is 17.2 in.
Course 1
10-1 Finding Perimeter
Try This: Example 1
Find the perimeter of the figure.
3.3 + 3.3 + 4.2 + 4.2 + 3
Add all the side lengths.3.3 in. 3.3 in.
4.2 in.4.2 in.
3 in.
The perimeter is 18 in.
Course 1
10-1 Finding Perimeter
Additional Example 2: Using a Formula to Find Perimeter
Find the perimeter P of the rectangle.
P = 2l+ 2w
Substitute 12 for l and 3 for w.P = (2 • 12) + (2 • 3)
P = 24 + 6
P = 30
Multiply.
Add.
The perimeter is 30 cm.
12 cm
3 cm
Course 1
10-1 Finding Perimeter
Try This: Example 2
Find the perimeter P of the rectangle.
P = 2l + 2w
Substitute 15 for l and 2 for w.P = (2 • 15) + (2 • 2)
P = 30 + 4
P = 34
Multiply.
Add.
The perimeter is 34 cm.
15 cm
2 cm
Course 1
10-1 Finding Perimeter
A. What is the length of side a if the perimeter equals 1,471 mm?
P = sum of side lengths
Use the values you know.1,471 = 416 + 272 + 201 + 289 + a
1,471 = 1,178 + a
1,471 – 1,178 = 1,178 + a – 1,178
Add the known lengths.
Subtract 1,178 from both sides.293 = a
Side a is 293 mm long.
Additional Example 3A: Finding Unknown Side Lengths and the Perimeter of a Polygon
Find each unknown measure.
Course 1
10-1 Finding Perimeter
Try This: Example 3A
Find each unknown measure.
A. What is the length of side a if the perimeter equals 1,302 mm?
P = sum of side lengths
Use the values you know.1,302 = 212 + 280 + 250 + 240 + a
1,302 = 982 + a
1,302 – 982 = 982 + a – 982
Add the known lengths.
Subtract 982 from both sides.320 = a
Side a is 320 mm long.
212 mm 280 mm
a250 mm
240 mm
Course 1
10-1 Finding Perimeter
Additional Example 3B: Finding Unknown Side Lengths and the Perimeter of a Polygon
Find each unknown measure.
B. What is the perimeter of the polygon?
First find the unknown side length.
Find the sides opposite side b.
The length of side b = 50 + 22.
Side b is 72 cm long.
P = 72 + 55 + 50 + 33 + 22 + 22
P = 254
Find the perimeter.
The perimeter of the polygon is 254 cm.
Course 1
10-1 Finding Perimeter
72 cm
First find the unknown side length.Find the sides opposite side b.
The length of side b = 12 + 4.
Side b is 16 m long.
P = 14 + 12 + 8 + 4 + 6 + 16
P = 60
Find the perimeter.
The perimeter of the polygon is 60 m.
Try This: Example 3B
Find each unknown measure.
B. What is the perimeter of the polygon?12 m
14 m
b m
8 m
6 m
4 m
16 m
Course 1
10-1 Finding Perimeter
l = 4w Find the length.
l = (4 • 19)
l = 76
Substitute 19 for w.
Multiply.
Additional Example 3C: Finding Unknown Side Lengths and the Perimeter of a Polygon
C. The width of a rectangle is 19 cm. What is the perimeter of the rectangle if the length is 4 times the width?
4w
19 cm
Course 1
10-1 Finding Perimeter
Additional Example 3C Continued
P = 2l + 2w
Substitute 76 and 19.P = 2(76) + 2 (19)
P = 152 + 38
P = 190
Multiply.
Add.
Use the formula for the perimeter of a rectangle.
The perimeter of the rectangle is 190 cm.
4w
19 cm
Course 1
10-1 Finding Perimeter
l = 5w Find the length.
l = (5 • 13)
l = 65
Substitute 13 for w.
Multiply.
Try This: Example 3C
C. The width of a rectangle is 13 cm. What is the perimeter of the rectangle if the length is 5 times the width?
5w
13 cm
Course 1
10-1 Finding Perimeter
Try This: Example 3C Continued
65 cm
13 cm
P = 2l + 2w
Substitute 65 and 13.P = 2(65) + 2 (13)
P = 130 + 26
P = 156
Multiply.
Add.
Use the formula for the perimeter of a rectangle.
The perimeter of the rectangle is 156 cm.
Course 1
10-1 Finding Perimeter
Don’t forget your proper heading! Trade & Grade!
10-1 Lesson QuizFind each perimeter.
1. 2.
3. What is the perimeter of a polygon with side
lengths of 15 cm, 18 cm, 21 cm, 32 cm, and 26
cm?
4. What is the perimeter of a rectangle with
length 22 cm and width 8 cm?
9 cm
4 ft
Insert Lesson Title Here
112 cm
60 cm
56__
Course 1
10-1 Finding Perimeter
6th Grade AIMS PrepWhen you play a game with a friend, there
are lots of tricks, or strategies, that you use to win the game.
Just like the game tricks, there are lots of test-taking tricks to help you “win” when
taking the AIMS Math Test.
What are some test-taking tricks that you use?
AIMS Example 1What is the problem asking us to solve?
Test-Taking Strategy #1Understand the problem!! Read It Thoroughly!