Aim: How do you solve for rate of change?
Objective: Students will be able to set up a rate of change problem.
Objective: Students will be able to set up a rate of change problem.
Motivation: I will introduce familiar terms to students and then explain to them that they are actually rates.
Do Now: What do the following terms have in common?
miles per hour words per minute texts per day rotations per day field goals per game
Anticipated response: they all have per in it
Correct Response: they are all rates of change
Now looking back at the examples on the board what do you think rate of change is?
Notes
Rate of Change: How much a measurable aspect of the environment, called a field, is altered over a given time--- years, hours, seconds.
Example: miles per hour, words per minute, texts per day, rotations per day, field goals per game
Rate of Change= Change in field value
Change in time
Do we need to memorize this formula?
No it is in the reference table, but what you do need to know is how to use it.
Example:
A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the
balloon’s rate of change?
Teacher model
Step 1: Write the formula
Rate of Change= Change in field value
Change in time
Step 2: Plug in the given information
R.O.C = 400m-100m
3minutes
Step 3: Solve
R.O.C= 300m = 100 m per minute or 100 m/min
3 minutes
Activity:
Working with the person next to you, please answer questions 2 and 3 on the hand out
Evaluation: I will then ask for 2 groups to put their work on the board
Summary: We use rates every day even if we don’t realize it. When we are exercising or go to the doctor we are monitoring our heart rate. When we are driving or walking, how long it takes up to go a certain distance is a rate. How we get paid is a rate. Later if the semester we are going to learn about other rates as well for example the amount of time it takes earth to complete 1 revolution around the sun (also a rate.)
Do Now: What do the following terms have in common?
miles per hour words per minute texts per day rotations per day field goals per game
Anticipated response: they all have per in it
Correct Response: they are all rates of change
Now looking back at the examples on the board what do you think rate of change is?
Notes
Rate of Change: How much a measurable aspect of the environment, called a field, is altered over a given time--- years, hours, seconds.
Example: miles per hour, words per minute, texts per day, rotations per day, field goals per game
Rate of Change= Change in field value
Change in time
Do we need to memorize this formula?
No it is in the reference table, but what you do need to know is how to use it.
Example:
A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the
balloon’s rate of change?
Teacher model
Step 1: Write the formula
Rate of Change= Change in field value
Change in time
Step 2: Plug in the given information
R.O.C = 400m-100m
3minutes
Step 3: Solve
R.O.C= 300m = 100 m per minute or 100 m/min
3 minutes
Activity:
Working with the person next to you, please answer questions 2 and 3 on the hand out
Evaluation: I will then ask for 2 groups to put their work on the board
Summary: We use rates every day even if we don’t realize it. When we are exercising or go to the doctor we are monitoring our heart rate. When we are driving or walking, how long it takes up to go a certain distance is a rate. How we get paid is a rate. Later if the semester we are going to learn about other rates as well for example the amount of time it takes earth to complete 1 revolution around the sun (also a rate.)
Homework- complete the hand out
Follow-up exercise: graphical analysis lab
visit following site for the worksheet
No comments:
Post a Comment