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10-4. Comparing Perimeter and Area. Course 1. HOMEWORK & Learning Goal. Lesson Presentation. AIMS Prep. Chapter 10 Section 3 6 th M. HOMEWORK Answers. Page 510 #1-6 & #10-14. Chapter 10 Section 4 6 th Grade Math HOMEWORK. Page 512-513 #1-4 and #11-14 (SR). Our Learning Goal.
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10-4 Comparing Perimeter and Area Course 1 HOMEWORK & Learning Goal Lesson Presentation AIMS Prep
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.
Comparing Perimeter and Area 10-4 Course 1 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.
Break into Simpler Parts 10-3 Course 1 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.
Break into Simpler Parts 10-3 Course 1 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
Comparing Perimeter and Area 10-4 P = 29.2 in. P = 14.6 in. Course 1 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. 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 10-4 Course 1 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.
Comparing Perimeter and Area 10-4 A = 6 cm2 A = 96 cm2 Multiply each dimension by 4. P = 10 cm P = 40 cm 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. Course 1 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
Comparing Perimeter and Area 10-4 A = 15 cm2 A = 60 cm2 Multiply each dimension by 2. P = 16 cm P = 32 cm 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 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 6 cm 3 cm
Comparing Perimeter and Area 10-4 Course 1 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 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!