1 / 14

Calculating Cookie Trays for School Bake Sale: A Lesson in Slope and Time Management

In this lesson, we explore how to calculate the number of cookie trays you can bake in one hour, given the mixing and baking times. By using the equation (x(24 + 12) = 60) or reorganizing it to (12x + 24 = 60), we find out how to effectively model time against tasks. This exercise not only teaches arithmetic and algebraic skills but also illustrates the concept of slope through real-life application. It’s a fun and practical way for students to see math at work during a bake sale!

kaida
Download Presentation

Calculating Cookie Trays for School Bake Sale: A Lesson in Slope and Time Management

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP 4 SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, which model can you use to find how many trays you can bake during the hour? x(24 + 12) = 60 12x + 24 = 60

  2. WARM UP 3 SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, which model can you use to find how many trays you can bake during the hour? x(24 + 12) = 60 12x + 24 = 60

  3. WARM UP 2 SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, which model can you use to find how many trays you can bake during the hour? x(24 + 12) = 60 12x + 24 = 60

  4. WARM UP 1 SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, which model can you use to find how many trays you can bake during the hour? x(24 + 12) = 60 12x + 24 = 60

  5. WARM UP 0 SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes 12 minutes to bake each tray of cookies. If you bake one tray at a time, which model can you use to find how many trays you can bake during the hour? x(24 + 12) = 60 12x + 24 = 60

  6. 4.5 The Slope of a Line You can describe steepness by a ratio called slope. To find the slope, divide the rise by the run. Slope = = = = 2 Vertical rise Horizontal run 10 5 2 1 Vertical Rise = 10 Horizontal run = 5

  7. 4.5 The Slope of a Line EXAMPLE 1 The Slope Ratio: Find the slope of a hill that has a vertical rise of 40 feet and a horizontal run of 200 feet. Let m represent slope. SOLUTION m = = = ANSWER> the slope of the hill is Vertical rise Horizontal run 40 200 1 5 1 5 Vertical Rise = 40 ft. Horizontal run = 200 ft.

  8. 4.5 The Slope of a Line The slope of a line is the ratio of the vertical rise to the horizontal run between any two points on the line. Notice how you can subtract coordinates to find the rise and the run. Slope = = = (3,2) (8,4) 4 - 2 8 - 3 rise run 2 5 Run = 8 -3 = 5 Rise = 4 -2 = 2

  9. SLOPE When you use the formula for slope, you can label either point as (x1,y1) and the other as (x2,y2). After labeling the points, you must subtract the coordinates in the same order in both the numerator and the denominator. y1 – y2 x1 – x2 Change in y Change in x rise run THE SLOPE OF A LINE The slope m of a line that passes through points (x1,y1) and (x2,y2) is m = = =

  10. 4.5 The Slope of a Line (3,4) EXAMPLE 2 Positive Slope Find the slope of the line that passes through the points (1,0) and (3,4). SOLUTION STEP ONE m = STEP TWO = Substitute values STEP THREE = Simplify STEP FOUR = 2 Slope is positive ANSWER> The slope of the line is 2 (1,0) 4 - 0 3 - 1 4 2 y1 – y2 x1 – x2 Subtract y-values Subtract x-values

  11. 4.5 The Slope of a Line CHECK POINT Find a Positive Slope Find the slope of the line that passes through the two points (x1,y1) = (3,5) and (x2,y2) = (1,4) (x1,y1) = (2,0) and (x2,y2) = (4,3) (x1,y1) = (2,7) and (x2,y2) = (1,3)

  12. 4.5 The Slope of a Line EXAMPLE 3 Negative Slope Find the slope of the line that passes through the points (0,3) and (6,1). SOLUTION STEP ONE m = STEP TWO = Substitute values STEP THREE = = Simplify STEP FOUR = Slope is negative ANSWER> The slope is (0,3) (6,1) 1 - 3 6 - 0 -2 6 y1 – y2 x1 – x2 -1 3 -1 3 -1 3 Subtract y-values Subtract x-values

  13. 4.5 The Slope of a Line CHECK POINT Find a Negative Slope Find the slope of the line that passes through the two points (x1,y1) = (2,4) and (x2,y2) = (-1,5) (x1,y1) = (0,9) and (x2,y2) = (4,7) (x1,y1) = (-2,1) and (x2,y2) = (1,-3) YOU’RE CERTIFIED

  14. 4.5 The Slope of a Line CLASSWORK/HOMEWORK Page 233 #s 10 -18

More Related