DO NOW 1) Solve x = 15x

Transcription

1 Algebra I 04/20/17 DO NOW 1) Solve x = 15x 2) The length of a rectangle is three more than the width, w. Express the area as a polynomial in simplest form. Area = (length)(width) 1

2 1) Solve x = 15x 2) The length of a rectangle is three more than the width, w. Express the perimeter and area as a polynomial in simplest form. w + 3 w 2

3 Closer Examination of the "Do Now" 2) The length of a rectangle is three more than the width. Express the area as a polynomial in simplest form. If we knew the area of the rectangle is 88 square units, could we find the dimensions of the rectangle? If so, how? If not, why? A = lw 3

4 Solving Area Word Problems Using Quadratic Equations Together Find the dimensions of a rectangle whose area is 45 ft 2 and whose width is 12 feet less than the length. 4

5 Kiara is planting a garden whose width is one foot shorter than its length. If the area is 240 square feet, what are the dimensions of the garden? Extension Challenge: If she wants to walk in a straight line from the southeast corner to the northwest corner of the garden, how far will she have to walk? If necessary, round your answer to the nearest foot. 5

6 Kiara is planting a garden whose width is one foot shorter than its length. If the area is 240 square feet, what are the dimensions of the garden? Let x = the length Let x 1 = the width The garden is 16 feet (length) by 15 feet (width) 6

7 Extension Challenge: If she wants to walk in a straight line from the southeast corner to the northwest corner of the garden, how far will she have to walk? If necessary, round your answer to the nearest foot. What math concept would we have to use to solve this problem? Pythagorean Theorem! 7

8 How do we set up and solve area problems involving quadratic equations? touch 8

9 Let's Help Mr. Mazz solve a real problem Mr. Mazz is tiling his basement. The room is 6 feet longer than it is wide. The total area of the room is 216 ft 2. The Basics of the Lesson Finding the Length & Width Given Area 1) What are the dimensions of the basement room? I Can Apply My Knowledge and Convert Units 2) Will his sectional couch that is 132" long fit on the shorter wall in the room? I'm Great at Recalling Old Concepts and Performing Multiple Operations 3) He only bought 200 ft 2 of tile by accident. It cost him $176. How much more will he have to pay to get the extra tile he needs? 9

10 Mr. Mazz is tiling his basement. The room is 6 feet longer than it is wide. The total area of the room is 216 ft 2. He only bought 200 ft 2 of tile by accident. It cost him $176. Let x = width of the room Let x+6 = the length of the room 1) What are the dimensions of the basement room? The room is 12' (width) by 18' (length) 2) Will his sectional couch that is 132" long fit on the shorter wall in the room? Yes, it will fit. Shorter wall = 12 feet 3) He only bought 200 ft 2 of tile by accident. It cost him $176. How much more will he have to pay to get the extra tile he needs? $ $ $ $ 10

11 Get a head start on your Homework!!! mathsims.wordpress.com Lesson Slides, Resources and More! 11

12 Exit Slip (Choose Your Level) I Don't Quite Have This Yet... Let Me Try a Basic Problem The length of a rectangular sandbox is 5 feet more than the width. If the area is 24 square feet, what are the dimensions of the sandbox? Width Length I'm Ready... Let's Give This a Try Find the dimensions of a rectangle with an area of 96 cm 2 that has a width that is four feet less than its length. I've Got This, Miss... Give Me a Challenge! The length of a photograph is 1 cm less than twice the width. The area of the 45 cm 2. Find the dimensions of the photograph. 12

13 Exit Slip (Choose Your Level) I Don't Quite Have This Yet... Let Me Try a Basic Problem The length of a rectangular sandbox is 5 feet more than the width. If the area is 24 square feet, what are the dimensions of the sandbox? Width Length 13

14 Exit Slip (Choose Your Level) I'm Ready... Let's Give This a Try Find the dimensions of a rectangle with an area of 96 cm 2 that has a width that is four feet less than its length. 14

15 Exit Slip (Choose Your Level) I've Got This, Miss... Give Me a Challenge! The length of a photograph is 1 cm less than twice the width. The area of the 45 cm 2. Find the dimensions of the photograph. 15

16 Multiple Points of Entry 1) Student Led "Do Now" Review 2) Think Pair Share Activity 3) Guided Class Practice 4) Independent Practice Sets with Multiple Layers for Spiraling Content 5) Tiered Exit Slip for Individual Assessment 16