Year+10

=[|Calendar]=


 * A general and a week by Week guide to what we're doing in Y10 Maths **



** 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).//

May 3 to May6 2011 (week 2)

 * Friday periods 2 and 3**

**Accessment on Transformation**

 * Thursday periods 4 and 5**


 * Tuesday period 3**
 * Transformation Summary**
 * Practice on design flag**

18th to 20th april 2011 (week 1)
**Thursday periods 4 and 5** Transformation of different functions- Logarithmic + Trigonometric +Exponential and cubric function Homework: Ex 2.9 Q.1-Q.6 (all parts on LHS) Due May 3, 2011

** Next Assessment on Transformation: May 6, 2011 **
**Tuesday period 3** Transformation using Geogebra

11 April to 15th April 2011
= **Project Week : No Lessons** =

April 4th to 8th April 2011 (week 2)
Transformation: Reflection on y-axis Homework: Supp graphics and sketch transformation Due Apr 18, 2011
 * Friday periods 2 and 3**

Transformation : Reflection
 * Thursday periods 4 and 5**

Ching Ming Festival - Holiday
 * Tuesday period 3**

28 March to 1st April 2011 (week 1)
Parent Teacher Students Conference
 * Friday period 3**

- Axis of symmetry - Rotation of points
 * Thursday period 1**

Transformation: Shift Horizontally
 * Tuesday period 3**

21st to 25th March 2011 (week 2)
Transformation: Shift upward / downword + stretch
 * Friday periods 2 and 3**

Assessment on Linear Programming
 * Thursday periods 4 and 5**

Linear programming examples Homework: Ex.8C
 * Tuesday period 3**

14th to 18th March 2011 (week 1)
Introduction to Linear Programming
 * Friday period 3**

Constraints and Feasible solution in Linear Programming
 * Thursday period 1**

Inequalities: 2 variables
 * Tuesday period 3**

Quadratic inequality-algebraic method
 * Monday period 3**

7th to 11th March 2011 (week 2)
Quadratic Inequalities Homework Assignment: Ex. 7D Due Mar 15, 2011
 * Friday periods 2 and 3**

Compound Inequalities: And / Or
 * Thursday periods 4 and 5**

Linear Inequalities
 * Tuesday period 3**

28 Frebruary to 4th March 2011 (week 1)

 * Friday period 3**
 * Cyclic Quadrilateral and Tangents**

Angles at centre and angles in same segment
 * Thursday period 1**

World Maths Day :
 * Tuesday period 3**

21st to 25th February 2011 (week 2)
Ch 12 Proof of Circles We start the topic circles, looking at angles in circle. Angle at centre, sangle in segment and angles in cyclic quadrilateral.
 * Friday periods 2 and 3**

1. The angle in a semi-circle is a right angle 2. Angles in the same segment are equal 3. Opposite angles in a cyclic quadrilateral are supplementary 4. Two tangents drawn from a point to a circle are equal in length 5. Equal chords subtend equal angles at the centre of a circle 6. Equal chords are equidistant from the centre of a circle

We have a Broad-Based assessment in these periods. The assessment covers all the work we have done so far and will feature 5 questions that are closely linked to observing, describing and using patterns. The test will be assessed using criteria B and C.
 * Thursday periods 4 and 5**

Here we will continue looking at proofs of important Circle Theorems, and start to use those proofs in solving problems. Look at this cool worksheet: [|Y10 Mixed Circle Theorem Qs.pdf]
 * Tuesday period 3**

Also - here is a powerpoint presentation in which a few (not all!) theorems are proved: [|Prove it! (Circles).pptx]