Presentation on theme: "Slope & Y-Intercept In Context. 43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with."— Presentation transcript:
43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in math · Make connection with other content areas. The student will be able to interpret linear models. - Interpret slope in context of data. - Write the line-of-best- fit for a scatter plot. - Distinguish between correlation and causation. - Use technology to calculate correlation coefficient. The student will be able to: - Determine if a scatter plot has positive or negative correlation and if the correlation is weak or strong. - Use the correlation coefficient to interpret the strength of a correlation. With help from the teacher, the student has partial success interpreting linear models or scatter plots. Even with help, the student has no success understanding the concept of a linear models. Learning Goal #2 for Focus 4 (HS.S-ID.C.7, 8 & 9, HS.S-ID.B.6, HS.F-IF.B.6) : The student will be able to interpret linear models.
Using Slope-Intercept Form In a real-life context the y-intercept often represents an initial amount and the slope often represents a rate of change. Knowing this structure can help you understand equations, write equations in slope-intercept form and understand graphs.
Buying A Computer You are buying a computer on layaway. You make a $250 deposit and then make weekly payments. The equation A = 850 – 50T represents this situation. What is the slope? What does it mean in this situation? What is the y-intercept? What does it mean in this situation? What is the original amount of the computer? Image from http://pixabay.com/en/computer-hardware- keyboard-modern-156513/ -50 (0, 850) $1,100 [850 + 250 deposit]
Access Ramps Wheelchair access ramps must be built according to very precise specifications so that the ramps are not too steep to maneuver a wheel chair. If one is standing at the top of the ramp, y stands for the height above the ground and x stands for the horizontal distance from the start of the ramp to the platform. The equation for the ramp is y = 1 / 12 x
y = 1 / 12 x What is the meaning of the y-intercept in this particular situation? Suppose you wish to build a wheelchair accessible ramp into a building, and the first floor is 4 feet above the ground. Determine the how far out horizontally from the building should the ramp begin? (0, 0) (x, 4)
Wheelchair Access Ramp y = 1 / 12 x 4 = 1 / 12 x 48 = x The ramp will need to be 48 feet long. Image from http://wheelchairassistance.com/wheelchair-ramp/trifold-wheelchair-ramps.php