Teachers: Maxine, Jason and Jimena
Curricular Micro-teaching.
Here are the subjects included in the content we chose:
two-variable continuous linear relations; includes rational coordinates
horizontal and vertical lines
graphing relations and analyzing
interpolating and extrapolating approximate values
spirit canoe journey predictions and daily checks
We chose graphing relations and analyzing for our 15 minutes lesson
Lesson Plan for a Micro session about understanding Linear Relations: 15 minutes
https://the-world-is-my-classroom.weebly.com/uploads/1/8/3/8/18384137/grade_9_-_unit_4_notes.pdf
used above resource as a reference to curriculum.
independent variable – a variable whose value is not determined by the other
variable.
dependent variable – a variable whose value is determined by the other variable.
It always depends on the independent variable.
leads into the example of
Luke wants to earn money this winter shovelling drive-ways. He will get paid $9 an hour.
Here:
Amount Earned = 9$/hr * Hours worked.
Variables:
Hours Worked → Independent because it is not determined by other variables, you can choose how many hours to work.
Amount Earned -> Dependent because it depends on the amount of hours worked.
In general, we will see equations of the form
y = mx + b
, and we will start the activity, to understand more about this general equation.
1. Human Coordinate Plane- Same as we saw it during our First School Visit
Goal: Experience graphing physically and collaboratively.
Setup:
Use tape or chalk to draw a large coordinate plane on the floor.
Assign students as points (x, y) from given relations (e.g., y = 2x + 1, or y = |x|).
Students move into position, then discuss what they notice about the pattern, symmetry, slope, etc.
Critical Thinking: Visualizing and reasoning spatially.
Teamwork: They must organize themselves accurately and communicate effectively.
2. MUSICAL CHAIRS GAME
Setup:
Place all in two rows back to back.
Make the students walk around while the music is playing.
When the music stops, the students sit down in the closest chair.
In the second round, the teacher takes 2 chairs out and plays again.
Discuss what happened. Tell the students to talk about the variables involved and how they relate to each other.
3. REAL WORLD SCENARIOS - UBER FARES
Setup:
Post real UBER fares in Vancouver.
Groups answer some questions, and groups respond to another group’s inference.
Questions:
What does it mean low demand, and rush hour?
How much does it cost to travel 10 km in rush hour?
How much does it cost to travel 10 km in low demand?
EDIT: (new question) Does traffic seem to have more of an impact on price for low-kms trips or high-kms trips?
EDIT: (new question) We model a line with the equation y=mx+b. Does increased traffic change m, or b? Slope, or y-intercept? Why?
Assessment: Teacher notes on the use of mathematical vocabulary during discussions
Metacognition: How did other groups’ ideas challenge or support your thinking?”
EDIT:
ADAPTATION: We may not have enough time for part 2, musical chairs.
Materials needed:
Tape for floor
Speaker for music
Slide with Uber fare graph
Connections to curriculum:
Two new questions added for section 3.
Assessment questions for section 1:
Do the students understand the different roles x and y play?
Are students beginning to understand the effects scaling and shifting have on equations?
Can the students collaborate with each other effectively, to help students who may have trouble finding their spot on the graph?
Can students guess where they go based on where their friends go (interpolation)?
Hi Jason! This post ought to have been on your EDCP 342 blog -- I counted it for that course...
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