Year+10+Math

General Year 10 Mathematics (MYP 5) - Course Description



In Year 10 Mathematics students will gain the knowledge and understanding of prerequisite skills for International Baccalaureate Diploma Mathematics courses. They will learn to apply these skills and to develop problem-solving strategies. They will learn to see connections between mathematics and the “real-world”. Students are required to communicate in the language of mathematics.

The 5 Major Curriculum Strands of MYP Mathematics: Number Algebra Geometry and Trigonometry Statistics and Probability Discrete mathematics

Topics in Year 10

1. Quadratics & Polynomials Solving quadratics by a variety of methods. Graphing polynomials. Solving real-life problems. 2. Exponentials & Logarithms Revision of rules of indices, graphing exponential functions, solving the equation ax = b more than one way, using the rules of logs 3. Sequences & Series Recognise, describe and use arithmetic and geometric sequences. Finding the sum of the terms of the sequence. Using these ideas in population growth, compound interest etc 4. Probability Single event and multiple event probability. Linkage to Venn Diagrams. Experimental Probability. 5. Trigonometry Working with right-angled and non right-angled triangles. The Sine Rule and Cosine Rule. Trig in 3-D shapes. Graphs of trig functions. Some simple identities. 6. Proof & Circle Theorems Understanding and using key elements of proof. Applying these to important circle theorems for angles in circles and chords. 7. Linear Programming Revision of inequalities. Representing inequalities graphically. Setting up systems of inequalities to handle real-life constraints and maximizing/minimizing a given quantity. 8. Transformations in the plane Looking at the effect of reflections, rotations, stretches, enlargements and translations on mathematical shapes – both geometric objects and graphs of standard functions. 9. Vectors & Matrices Vector arithmetic – geometrically and algebraically. Uses of matrices. Matrix arithmetic and algebra. Applying our knowledge of matrices to simple networks. 10. Line of Best Fit Scatter graphs and correlation. Rudiments of regression analysis. Use of technology (eg spreadsheets).

MYP Assessment Criteria Criterion A: Knowledge & Understanding (max mark – 8) Criterion B: Investigating Patterns (max mark – 8) Criterion C: Communication (max mark – 6) Criterion D: Reflection & Evaluation (max mark – 6)

Grade Boundaries Boundaries

Grade

26 – 28

7

22 – 25

6

18 – 21

5

13 – 17

4

9 – 12

3

5 – 8

2

0 – 4

1