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# Notes - Unit 5 Day 1 Match Me

By Grace Hamilton,2014-11-25 18:03
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Notes - Unit 5 Day 1 Match Me

Unit 5: Day 1: Match Me! Grade 9 Applied

Materials Math Learning Goals viewscreen Use Calculator Based Ranger (CBR?) and graphing calculators to analyse graphing calculators motion graphs in terms of starting position, direction of motion, and rate of BLM 5.1.1, 5.1.2 change (speed).

75 min

Assessment

Opportunities Minds On ... Whole Class ; Demonstration

Using the CBR? (motion detector), graphing calculator, and viewscreen, with a student volunteer demonstrate connections between the shape and

position of the graph and the direction, speed (including stopped), and

starting position of their walk. Before each walk, students predict what they

think the graph will look like and draw the actual graph after the walk

(BLM 5.1.1).

Action! Pairs ; Peer Coaching

Students investigate the connection between the shape and position of the graph and the direction, speed, and starting position by using the “DIST

MATCH” application of the Ranger program (BLM 5.1.2). One student

reads the graph and gives walking instructions to a partner who cannot see

the graph. They reverse roles.

Students match as many graphs as possible in the allotted time.

Consolidate Whole Class ; Summarizing Debrief Discuss the key understandings involving the starting position relative to the CBR?, direction of walk, speed of the walk.

Whole Class ; Exploration

Learning Skill (Teamwork/Initiative)/Observation/Rating Scale: Assess

students’ ability to work collaboratively and to take initiative.

Check that students understand the difference between the path walked and

shape of the graph by asking students to predict which alphabet letters can

be walked, e.g., a student could make the letter “w” but the letter “b” is not

possible. Ask students to explain why.

Discuss which letters of the alphabet can be “walked” using the CBR?.

Students use a CBR? to verify/disprove predictions about the shape of

distance time graphs.

Home Activity or Further Classroom Consolidation Draw a graph to match the following descriptions: Application Stand 4 metres from the CBR? and walk at a constant rate towards the Concept Practice CBR? for 5 seconds. Stand still for 3 seconds then run back to the

starting position.

Begin 0.5 metres from the CBR?, run away for 3 seconds at a constant

rate, then gradually slow down until you come to a complete stop.

5.1.1: Walk This Way

1. Student walks away from CBR? (slowly).

2. Student walks towards CBR? (slowly).

3. Student walks very quickly towards CBR?.

5.1.1: Walk This Way (continued)

4. Student increases speed while walking towards the CBR?.

5. Student decreases speed while walking away from the CBR?.

6. Student walks away from ranger, at 2 metres stops for 5 seconds, then returns at the same

pace.

5.1.2: CBR?: DIST MATCH Setup Instructions

You will need:

1 CBR? with linking cable 1 graphing calculator

Insert one end of linking cable FIRMLY into CBR? and the other end FIRMLY into graphing

calculator.

Setting up the DIST MATCH Application

Press the APPS key

Select 2: CBL/CBR

Press ENTER

Select 3: RANGER

Press ENTER

You are at the MAIN MENU

Select 3: APPLICATIONS

Select 1: METERS

Select 1: DIST MATCH

Follow the directions on the screen.

If you are not happy with your graph,

Press ENTER

Select 1: SAME MATCH to try again

If you would like to try a different graph to match,

Press ENTER

Select 2: NEW MATCH

Select 5: Quit to quit

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Part One: Walk the Line

Copy the scale markings on the distance and time axes from your calculator. Mark your start and finish position on the graph using the coordinates Time and Distance. Connect the start and finish position with a line made with your ruler.

________________________’s Walk

Calculate the rate of change of the graph (speed of your walk).

Draw a large right-angled triangle under the graph and label it with the height as the rise and the

base as the run. Show the lengths of each.

riserate of change ;Calculate the rate of change of your walk using the formula: run

Complete the following:

a) The rate of change of my walk is ________________.

b) The speed of my walk is ________________ m/s away from the CBR?.

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Use your starting position and rate of change to write a walking description statement:

I started ____metres from the CBR? and walked away from it at a speed

of ____metres per second.

After 10 seconds, I was ____ __ from the motion detector. At this rate, estimate how far you would have walked after 30 seconds.

Construct an equation to model your walk.

A student started 0.52 metres from the CBR? and walked away at a speed of

0.19 metres/second.

The equation D = 0.52 + 0.19t models the student’s distance, D, from the CBR?

after t seconds.

To graph it on the graphing calculator use: Y = 0.52 + 0.19x.

Write a walking statement and equation for your walk: _____________ started _____ from the CBR? and walked away at a speed of

_____ metres/sec.

The equation __________________________ models my position from the CBR?.

The graphing calculator equation is ____________________.

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Turn off the STATPLOT

(Press: GRAPH)

Turn on the STATPLOT. Press GRAPH again.

The best equation that matches your walk is: ___________________.

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Use the equation to solve problems.

The equation D = 0.52 + 0.19t models the student’s position from the CBR?.

We can calculate the student's distance from the CBR? after 30 seconds:

D = .052 + 0.19t

D = 0.52 + (0.19)(30)

D = 0.52 + 5.7

D = 6.22

The student will be 6.22 metres from the CBR? after 30 seconds.

Calculate your position from the CBR? after 30 seconds:

a) The equation ____________________ models your position from the CBR?

(from previous page).

b) Calculate your distance from the CBR? after 30 seconds.

First, turn off the STATPLOT

Next, press: GRAPH

Then press: TRACE

Arrow right until you reach 30 seconds.

Record the distance the CBR? displays for 30 seconds _________. How does this compare with your answer using the equation? ________________________________________________________________

How does this answer compare with your estimate at the beginning of the activity?

________________________________________________________________

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Part Two: Walk Another Line

Copy the scale markings on the distance and time axes from your calculator. Mark your start and finish position on the graph using the coordinates Time and Distance. Connect the start and finish position with a line made with your ruler.

________________________’s Walk

Calculate the rate of change of the graph (speed of your walk). Hint: The rise will be a negative number!

Draw a large right-angled triangle under the graph and label it with the rise and run values.

riseCalculate the rate of change using the formula:. rate of change = run

Complete the following:

The rate of change of my walk is ________________.

The speed of my walk is ________________ m/s away from the CBR?.

5.1.2: CBR?: DIST MATCH Setup Instructions (continued)

Use your initial position and rate of change to write a walking description statement:

I started ______metres from the CBR? and walked towards it at

a speed of _____metres per second. After 10 seconds, I was

______from the motion detector.

At this rate, how far would you have walked after 30 seconds?

Construct an equation to model your walk.

A student started 4 metres from the CBR? and walked towards it at a speed of

0.32 metres/second.

The equation D = 4 0.32t models the students position from the CBR?.

To graph it on the graphing calculator use: Y = 4 0.32x.

Write a walking statement and equation for your walk:

_______________ started ____ metres from the CBR? and walked towards it at a speed of _____ metres per second.

The equation ___________________________ models my position from the CBR?. To graph

it on the graphing calculator use: ________________________.