Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4...

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Constant Rate of Change

Transcript of Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4...

Page 1: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

Constant Rate of Change

Page 2: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

HW Review?• What issue were the students (and

teacher) struggling with?

Page 3: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

A quick task

Page 4: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

A quick task

Page 5: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

Student Answers

Page 6: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

Over 1 up mhttps://www.math.ksu.edu/~cwcg/demo/meaning_of_slope/

Page 8: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

Testing the new meaning of slope

https://www.math.ksu.edu/~cwcg/demo/meaning_of_slope/

Page 9: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

• 7 minutes after I checked my watch, I’m 3.8 miles from home

• I’m walking at 1/2 mile per minute (away from home)

• How far from home was I when I checked my watch?

Page 10: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

• 7 minutes after I checked my watch, I’m 3.8 miles from home

• I’m walking at 1/2 mile per minute (away from home)

• How far from home was I when I checked my watch?

Page 11: Constant Rate of Change - Kansas State Universitycwcg/RENEW/day4/constant-rate-of-change.pdffor 4 minutes, there is still 38 gallons in the tub. a) How many gallons of water w re in

• j minutes after I checked my watch, I’m k miles from home

• I’m walking at h miles per minute (away from home)

• Write an expression for distance from home as a function of time.