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10-4 Comparing Perimeter and Area
Course 1
HOMEWORK & Learning GoalHOMEWORK & Learning Goal
AIMS PrepAIMS Prep
Lesson PresentationLesson Presentation
Chapter 10 Section 36th M. HOMEWORK Answers
Page 510
#1-6 & #10-14
Chapter 10 Section 46th Grade Math HOMEWORK
Page 512-513
#1-4 and
#11-14 (SR)
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 make a model to explore how area and perimeter are affected by changes in the dimensions of a figure.
Course 1
10-4 Comparing Perimeter and Area
REVIEW (Period 5) Example 2
Yvonne made quilt design. All the sides are 4 inches long, except for the two longer sides that are each 16 inches. All the angles are right angles. What is the area of the quilt design?
Think: Divide the quilt design into 10 squares. Find the area of one square that has a side length of 4 in.
Write the formula.A = lw
A = 4 • 4 = 16
10 • 16 = 160Multiply to find the area of the 10 squares.
The area of the quilt design is 160 in2.
4 in.16 in.
16 in.
Course 1
10-3 Break into Simpler Parts
REVIEW!!!Don’t forget your proper heading!
Trade & Grade! 10-3 Lesson QuizFind the area of the figure shown.
Insert Lesson Title Here
220 units2
Course 1
10-3 Break into Simpler Parts
Additional Example 1: Changing Dimensions
Find how the perimeter and the area of the figure change when its dimensions change.
P = 29.2 in.
A = 35 in.2
P = 14.6 in.
A = 8.75 in.2 When the dimensions of the triangle are divided by 2, the perimeter is divided by 2, and the area is divided by 4, or 22.
Course 1
10-4 Comparing Perimeter and Area
Divide each dimension by 2.
Try This: Example 1
Find how the perimeter and the area of the figure change when its dimensions change.
Multiply each dimension by 2.
4 in.2 in.
8 in.
4 in.
P = 12 in.
A = 8 in.2
P = 24 in.
A = 32 in.2
When the dimensions of the rectangle are multiplied by 2, the perimeter is multiplied by 2, and the area is multiplied by 4, or 22.
Course 1
10-4 Comparing Perimeter and Area
Additional Example 2: Application
Draw a rectangle whose dimensions are 4 times as large as the given rectangle. How do the perimeter and area change?
Multiply each dimension by 4.
P = 10 cm
A = 6 cm2
P = 40 cm
A = 96 cm2 When the dimensions of the rectangle are multiplied by 4, the perimeter is multiplied by 4, and the area is multiplied by 16, or 42.
3 cm2 cm
8 cm
12 cm
Course 1
10-4 Comparing Perimeter and Area
Try This: Example 2
Draw a rectangle whose dimensions are 2 times as large as the given rectangle. How do the perimeter and area change?
Multiply each dimension by 2.
P = 16 cm
A = 15 cm2
P = 32 cm
A = 60 cm2 When the dimensions of the rectangle are multiplied by 2, the perimeter is multiplied by 2, and the area is multiplied by 4, or 22.
5 cm3 cm 6 cm
10 cm
Course 1
10-4 Comparing Perimeter and Area
Don’t forget your proper heading! Trade & Grade!
10-4 Lesson QuizFind how the perimeter and area of the triangle change when its dimensions change.
The perimeter is multiplied by 2, and the area is multiplied by 4; perimeter = 24, area = 24; perimeter = 48, area = 96.
Insert Lesson Title Here
Course 1
10-4 Comparing Perimeter and Area
Chapter 10 Section 46th Grade Math HOMEWORK
Page 512-513
#1-4 and
#11-14 (SR)
6th Grade AIMS Prep
Recall some test-taking tricks that you use to “win” on the AIMS Math.
Use at least one to solve the following example!
AIMS Example 2
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