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