MTH1W/8 molenhuis unit: Relationships & Data lesson:
Ti-Nspire™ Activity – Think, Pair, Share
Part A: No technology – create by hand
Data is collected for a dwarf bonsai tree as it starts growing under a lamp. i. Independent Variable (include units):
Time (days) 25 32 24 15 34 67 19 10 30 50
Height (mm) 40 54 36 24 60 108 34 20 45 85
ii. Dependent Variable (include units):
iii. Create a proper scatter plot on the grid.
Scale appropriately. Label all parts.
Draw a line of best fit.
iii. If the bonsai is 115 mm, what is the
estimated number of days under the lamp?
What method did you use?
Show your work on the graph.
iv. If the bonsai was under the lamp for 44 days,
what is the estimated height?
What method did you use? Show work.
Part B: Using a Ti-Nspire, answer the following questions. Provide exact answers where possible, otherwise round to 6 decimal places.
i. Verify your estimated answer from part A – what is the number of days under the lamp if the height is 115mm: ______________
what is the height if the bonsai was under the lamp for 44 days: _________________
ii. What is the height of the dwarf bonsai tree if it is under the lamp for 250 days? ______________
Does your answer make sense? Explain.
iii. Fill in the screen shot. iv. Using the equation, calculate the height of the bonsai after 58 da
Title: ______________________________
Reg Eqn: ___________________________
m: ________________________________
b: _________________________________
v. Is this “Line of Best Fit” appropriate? Explain.
r2: _________________________________
r: __________________________________
1
Ti-Nspire™ Activity – Think, Pair, Share
Part A: No technology – create by hand
Data is collected for a dwarf bonsai tree as it starts growing under a lamp. i. Independent Variable (include units):
Time (days) 25 32 24 15 34 67 19 10 30 50
Height (mm) 40 54 36 24 60 108 34 20 45 85
ii. Dependent Variable (include units):
iii. Create a proper scatter plot on the grid.
Scale appropriately. Label all parts.
Draw a line of best fit.
iii. If the bonsai is 115 mm, what is the
estimated number of days under the lamp?
What method did you use?
Show your work on the graph.
iv. If the bonsai was under the lamp for 44 days,
what is the estimated height?
What method did you use? Show work.
Part B: Using a Ti-Nspire, answer the following questions. Provide exact answers where possible, otherwise round to 6 decimal places.
i. Verify your estimated answer from part A – what is the number of days under the lamp if the height is 115mm: ______________
what is the height if the bonsai was under the lamp for 44 days: _________________
ii. What is the height of the dwarf bonsai tree if it is under the lamp for 250 days? ______________
Does your answer make sense? Explain.
iii. Fill in the screen shot. iv. Using the equation, calculate the height of the bonsai after 58 da
Title: ______________________________
Reg Eqn: ___________________________
m: ________________________________
b: _________________________________
v. Is this “Line of Best Fit” appropriate? Explain.
r2: _________________________________
r: __________________________________
1