Free preview · Senior 5 Mathematics · Practical activities
Senior 5 practical activities
10 units · 20 activities. In every unit, activity 1 is improvised (simple local materials) and activity 2 is conventional (mathematical instruments): two different activities. Below are 5 free pages; then get the whole level in one PDF.
- Title and aim of every activity
- Required materials and safety notes
- A clear, diagram or diagram
- Step-by-step procedure and a results table to fill in
- Observation and conclusion
- Three questions per activity, with sample results and answers at the end of the unit
See all 20 activities of this level and what each one is about
- Unit 1: Trigonometric Formulae, Equations and Inequalities
- 1.1 Improvised · Solving sin x = ½ on a floor circle. To find all the solutions of a trigonometric equation in 0° ≤ x < 360° with a physical model of the unit circle.
- 1.2 Conventional · Checking identities with tables and graphs. To check the double-angle and compound-angle formulae numerically and graphically.
- Unit 2: Sequences
- 2.1 Improvised · The bouncing ball: a geometric sequence. To show that successive bounce heights form a geometric sequence and to find the total distance travelled.
- 2.2 Conventional · A medicine dose model: a recurrence relation. To iterate a recurrence relation with a calculator and find its limit.
- Unit 3: Logarithmic and Exponential Equations
- 3.1 Improvised · Dice decay. To model exponential decay with dice and use logarithms to solve for the "half-life".
- 3.2 Conventional · A paper slide rule. To make a slide rule from logarithmic scales and use it to multiply, showing that log ab = log a + log b.
- Unit 4: Points, Straight Lines and Shapes in 2D
- 4.1 Improvised · Mapping the school with paces. To make a coordinate map of the school and use it to calculate distances, midpoints and gradients.
- 4.2 Conventional · Distance from a point to a line. To find the perpendicular distance from a point to a line by construction and by formula.
- Unit 5: Trigonometric and Inverse Trigonometric Functions
- 5.1 Improvised · Angle of a ramp from its height. To use the inverse sine function to find the angle of a ramp and check with a protractor.
- 5.2 Conventional · Transforming the sine graph. To draw y = A sin(Bx) + C and describe the effect of A, B and C.
- Unit 6: Matrices and Determinants of Order 3
- 6.1 Improvised · Fruit baskets: a 3 × 3 system. To form a system of three equations from market baskets and solve it with matrices.
- 6.2 Conventional · Determinant and inverse with the calculator. To find a 3 × 3 determinant and inverse by hand and check with the calculator matrix mode.
- Unit 7: Vector Space of Real Numbers
- 7.1 Improvised · Coordinates in the classroom. To give 3-D coordinates to objects in the classroom and calculate distances between them.
- 7.2 Conventional · Angles in a box with the dot product. To calculate angles between diagonals of a cuboid with the dot product and check by measuring.
- Unit 8: Points, Straight Lines and Shapes in 3D
- 8.1 Improvised · Skewers and clay: lines in space. To model parallel, intersecting and skew lines and a plane with simple materials.
- 8.2 Conventional · The equation of a plane through three corners of a box. To find the equation of a plane through three points and the distance of a point from it.
- Unit 9: Bivariate Statistics
- 9.1 Improvised · Height and arm span. To investigate the relationship between height and arm span with a scatter diagram.
- 9.2 Conventional · Regression line and correlation coefficient. To calculate the least-squares regression line and the correlation coefficient with a calculator and by formula.
- Unit 10: Elementary and Conditional Probability
- 10.1 Improvised · Breakfast and lateness: a two-way table. To collect data in a two-way table and calculate conditional probabilities.
- 10.2 Conventional · The birthday problem. To calculate the probability that two people in a group share a birthday and compare with the class.
i5 free pages to readScroll down: the free pages show the contents and a complete activity, so you can see exactly what you get.