Grade 12 Math
UNIT 1 – MATHEMATICAL MODELLING
Activity 1 – Introduction to Mathematic Modelling
What do I need to remember when reading graphs?
What do I need to remember when using graphs for predictions?
How can I tell if a graph is linear?
Activity 2 – Rate of Change
What is a rate of change?
How do you calculate the rate of change?
How can I tell if a graph is non-linear?
How can I tell if rate of change is positive or negative?
Activity 3 – Comparing Mathematical Models
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Model |
Table of Values |
Graphs |
Equations |
Real Life Example |
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Linear |
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Quadratic |
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Exponential |
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Initial Conditions
What are initial conditions?
How do changes to the initial conditions affect:
The graph?
The table of values?
The equation?
Rate of Change
How do changes to the rate of change affect:
The graph?
The table of values?
The equation?
Regression
What is regression?
How do you calculate regression?
What does the coefficient of determination represent and how do you use it?
How do you determine the regression equation?
How do you use the regression equation?
Activity 4 – Simplifying Expressions Using Exponent Laws
How do you:
Multiply powers?
Divide powers?
Evaluate negative exponents?
Evaluate power of a power?
Activity 5 – Working with Rational Exponents
How do you evaluate powers with a fraction exponent?
Activity 6 – Solving Exponential Equations
Using an example from the content, show how to solve an exponential equation.
When I am solving exponential equations, I need to remember to….