Math CC 78 Be Prepared On Desk Worksheets
Math CC 7/8 – Be Prepared On Desk: Worksheets from counter Turn In: CMP 3 textbook? In Your Planner: HW: Slope: Two. Point Formula Worksheet Thinking With Mathematical Models Journal: 1) Date: 4/17/2019 2) Title: Tw. MM 2. 2 Exploring Slope 3) WARM-UP: Check off neighbor’s HW. Absent yesterday? ? Come see Mrs. Miner!! Warm-Up on counter! Is this linear? How do you know? ? ? Support your claim with evidence!! Glue in to your journal when you’re done. New Tab for the New Unit? **SP Test-Those who still need to finish will do it during class or CT on Thursday!!
Tasks for Today • • Warm Up – Writing equations from a graph Finish Lesson 2. 1? Lesson 2. 2 – Exploring Slope Pass back SP Test-Thursday!!
Warm Up Write the equation for each graph.
Labsheet 2. 1
12 22 33 43 54 0 Model #1 -4 -1 -3 -6 64 0
10 20 30 40 50 2 Model #2 -2 2 0 -2 60 4
Using the model y = 10. 4 x + 1. 6 gives predictions consistently at or above the actual data, a trend that is shown by the many 0 or negative residuals.
Yes, the line y = 10 x passes through (4, 40), (5, 50), and (6, 60). The line shown passes very close to those points.
The residuals for Sally’s model are a mix of over and underestimates of the actual breaking weights. • • Both equations produce small residuals. The first model consistently give overestimates. The second model’s predictions are a mix of over- and underestimates. The second model (y = 10 x) gives better predictions, so it is a better fit!
Which is x and which is y?
Graph: Mathematical Model: Answers vary… y = 2. 4 x + 0. 42 Residuals are small and some are positive and some are negative… Linear model makes sense!
How do we find slope from… • Take n otes in your jo urnal!
This slope is -3 which is less than the other slopes. Slope = -1 (x 1, y 1) (x 2, y 2) y 2 – y 1 x 2 – x 1
Many possible answers. (5, 1) (6, 0) You could make a table and use the slope to find many different points of the same line. Yes, they are correct, because a straight line does not change direction or steepness. The ratio of rise over run will be the same no matter what two points you choose.
Yes, he is correct! Using substitution, when x = 1, y = m times 1 = m, and when x = 0, y = m times 0 = 0 Horizontal lines have a slope = 0 (rise is always 0) Vertical lines have no slope (dividing by a run difference of 0 is impossible)
- Slides: 20