Grade 12 Math

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Unit1Organizer.doc

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

Model

Table of Values

Graphs

Equations

Real Life Example

Linear

Quadratic

Exponential

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….