Roadmap
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.