1. 10-1 Finding Perimeter Course 1 HOMEWORK & Learning Goal HOMEWORK & Learning Goal AIMS Prep AIMS Prep Lesson Presentation Lesson Presentation

2. Chapter 10 Section 1 6 th Grade Math HOMEWORK Page 502 #6-22 EVENS

3. 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.

4. 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.

5. Warm Up 1. What figure has four equal sides and four right angles? 2. What figure has eight sides? 3. What figure has five sides? square octagon pentagon Course 1 10-1 Finding Perimeter

6. Problem of the Day Find the greatest perimeter possible when 6 identical unit squares are arranged to form a closed figure. Adjacent squares must share an entire side. 14 units Course 1 10-1 Finding Perimeter

7. Today’s Learning Goal Assignment Learn to find the perimeter and missing side lengths of a polygon. Course 1 10-1 Finding Perimeter

8. Vocabulary perimeter Insert Lesson Title Here Course 1 10-1 Finding Perimeter

9. 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

10. 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

11. 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. 4.2 in. 3 in. The perimeter is 18 in. Course 1 10-1 Finding Perimeter

12. Course 1 10-1 Finding Perimeter

13. 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

14. 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

15. 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

16. 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 mm280 mm a 250 mm 240 mm Course 1 10-1 Finding Perimeter

17. 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

18. 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

19. 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? 4w4w 19 cm Course 1 10-1 Finding Perimeter

20. Additional Example 3C Continued P = 2 l + 2 w 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. 4w4w 19 cm Course 1 10-1 Finding Perimeter

21. 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? 5w5w 13 cm Course 1 10-1 Finding Perimeter

22. Try This: Example 3C Continued 65 cm 13 cm P = 2 l + 2 w 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

23. Don’t forget your proper heading! Trade & Grade! 10-1 Lesson Quiz Find 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 5 6 __ Course 1 10-1 Finding Perimeter

24. 6 th Grade AIMS Prep When 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?

25. AIMS Example 1 What is the problem asking us to solve?

26. Test-Taking Strategy #1 Understand the problem!! Read It Thoroughly!