Roadmap

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The below is copied from the document Mark prepared, Activity_List_v1.pdf. The format is Activity Number Topic/Topics. Explanation/Notes.


Activity 1 Scientific Notation, Significant Figures, calculating roots and powers.

Activity 2 Units and Unit Conversions.

Activity 3 Writing equations from sentences, drawing diagrams based on sentences.

Activity 4 Proportions and ratios.

May want to supplement here to include some inverse-square law since book only does linear ratios.

Activities 5 and 6 Linear equations.

Making plots and slope finding.

Activities 7 and 8 Basic Algebra.

Solving linear equations. Second activity could maybe be “problem solving”.

Activity 9 Simultaneous Linear Equations.

Two equations/two unknowns.

Activities 10 and 11 Geometry.

Drawing shapes (triangles mostly) and finding angles from figures.

Activities 12 and 13 Trigonometry.

Finding sine, cosine, tangent in all quadrants, sides of triangles, finding angles, law of sines and cosines.

Activities 14 and 15 Vectors.

Not in text, so completely up to us.

Activity 16 Quadratic equations.

Both solving and graphing.

Activity 17 Other powers.

Cubic and square-root function. (Good use of pendulums in text.)

Activity 18 Sinusoidal functions.

Plotting basic shapes, changing period, amplitude, and other characteristics. Also radians introduced.

Activity 19 Exponential Growth and Decay, Logarithms.

Activity 20 Derivatives.

Derivative as slope, polynomials as example. Max and min of polynomial functions.

Activity 21 “Geometric” Integration.

Integral as area under curve.

Activity 22 “Mathematical” Integration.

Integral as anti-derivative. Integral table and examples. Book does this material first, but I think the order given makes more sense.