HOMEWORK & Learning Goal 10-4 Comparing Perimeter and Area Course 1 HOMEWORK & Learning Goal Lesson Presentation AIMS Prep

Chapter 10 Section 3 6th M. HOMEWORK Answers Page 510 #1-6 & #10-14

Chapter 10 Section 4 6th 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.

Comparing Perimeter and Area Course 1 10-4 Comparing Perimeter and Area Warm Up 1. What is the area of a figure made up of a rectangle with length 12 cm and height 4 cm and a parallelogram with length 12 cm and height 6 cm? 2. What is the area of a figure consisting of a triangle sitting on top of a rectangle? The triangle has a base of 12 in. and height of 9 in., and the rectangle has a base of 12 in. and height of 5 in. 120 cm2 114 in2

Comparing Perimeter and Area Course 1 10-4 Comparing Perimeter and Area Problem of the Day If sixteen people sit, evenly spaced, in a circle for story time, who sits directly across from person 5? person 13

Course 1 10-4 Comparing Perimeter and Area 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.

REVIEW (Period 5) Example 2 Course 1 10-3 Break into Simpler Parts 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. 16 in. 4 in. 16 in. A = lw Write the formula. A = 4 • 4 = 16 Multiply to find the area of the 10 squares. 10 • 16 = 160 The area of the quilt design is 160 in2.

REVIEW!!!Don’t forget your proper heading! Course 1 10-3 Break into Simpler Parts Insert Lesson Title Here REVIEW!!!Don’t forget your proper heading! Trade & Grade! 10-3 Lesson Quiz Find the area of the figure shown. 220 units2

Additional Example 1: Changing Dimensions Course 1 10-4 Comparing Perimeter and Area Additional Example 1: Changing Dimensions Find how the perimeter and the area of the figure change when its dimensions change. Divide each dimension by 2. P = 29.2 in. P = 14.6 in. A = 35 in.2 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.

Comparing Perimeter and Area Course 1 10-4 Comparing Perimeter and Area Try This: Example 1 Find how the perimeter and the area of the figure change when its dimensions change. 4 in. 8 in. 2 in. 4 in. Multiply each dimension by 2. P = 12 in. P = 24 in. A = 8 in.2 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.

Additional Example 2: Application 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? 12 cm 3 cm 8 cm 2 cm Multiply each dimension by 4. P = 10 cm P = 40 cm A = 6 cm2 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.

Comparing Perimeter and Area 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? 10 cm 5 cm 3 cm 6 cm Multiply each dimension by 2. P = 16 cm P = 32 cm A = 15 cm2 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.

Don’t forget your proper heading! Trade & Grade! Course 1 10-4 Comparing Perimeter and Area Insert Lesson Title Here Don’t forget your proper heading! Trade & Grade! 10-4 Lesson Quiz Find 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.

Chapter 10 Section 4 6th 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