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Math 9 Math 10 Math SL Yr1 Math Studies Yr2
Math 9
Study Guide
- · Ch9: Lines, Simultaneous equations, regions
- What is a linear function? What is the equation(s) of a line?
- What does the gradient represent? How can I find it? (from the graph, the equation, given the coordinates of two points)
- What is the relation of gradients in parallel, perpendicular lines?
- What are the x and y intercepts? How can I find them?
- How can I graph a line? (table of contents, gradient-intercept)
- How can I find the equation of a line from its graph?
- What is the geometrical interpretation of simultaneous equations?
- How can I solve simultaneous equations? (graphically, using algebra)
- How can I solve problems using simultaneous equations?
- How can I find the coordinates of the midpoint of a line segment?
- What is a region? How can I graph an inequality?
- How can I find an inequality from a given region?
NOTE: You may need to revise Ch6 for solving equations and inequalities. Only simple exercises on regions will be examined.
- ·Ch3: Shapes
- What are the acute, right, and obtuse angles?
- What are the properties of vertical, supplementary, alternate and corresponding angles and how can I recognize them?
- How do we classify triangles, quadrilaterals, and what are their properties?
- How can I distinguish a quadrilateral from its properties?
- What is the sum of angles in a triangle, quadrilateral, polygon?
- How can I find the interior, exterior angle of a regular polygon?
- Which shapes are congruent?
- How can I prove congruency of triangles? (SSS, SAS, ASA, RHS)
- ·Ch 15+class notes: Pythagoras’ theorem and right triangle trigonometry
- What is the Pythagoras’ theorem?
- How can I apply Pythagoras’ theorem to find sides in a right triangle?
- How can I distinguish the hypotenuse, opposite and adjacent sides for a given angle?
- Which are the trigonometric ratios? (SOH-CAH-TOA)
- How can I use the trigonometric ratios to find sides and angles in a right triangle?
- How the trigonometric equations help us measure distances and angles in real-life contexts?
- ·Ch14: Simplifying algebraic expressions
- Do I recognize the terms power, base, index, exponent?
- Which are the index laws?
- How can I solve equations involving indices?
- How can I use the index laws to simplify algebraic expressions?
- How can I add, subtract, multiply divide algebraic fractions?
- Do I recognize the terms sum, product, difference, quotient, factor, multiple?
- What is a quadratic expression?
- How can I factorise quadratic expressions? (common factor, grouping, difference of two squares, trial and error – sum and product)
- How can I simplify algebraic expressions involving quadratics?
Math 10
Study Guide
Ch21: Advanced trigonometry
- Area of triangle
- The sine rule
- The cosine rule
- Trigonometry and Pythagoras’ theorem in three dimensions
Ch 22: Advanced mensuration
- Finding the length of an arc of a circle
- Finding the area of a sector of a circle
- Finding the area of a segment of a circle
- Finding volumes and surface areas
- Cylinders, Prisms, Pyramids, Spheres
- Areas and volumes of similar shapes
- Compound solids
Ch 23: Exploring numbers
- Terminating and recurring decimals
- Finding a fraction equivalent to a recurring decimal
- Surds
- Upper and lower bounds
- Calculations involving upper and lower bounds
Ch26: Circle theorems
Class notes & uploaded material: Logarithms
Ch 20: Statistics
Ch 24: Probability
NOTE: Quadratic equations and basic trigonometry are prerequisites
Math SL Yr1
May
Tuesday 15th
Trigonometric functions
Study from the revised presentation: Trigonometry
Tuesday 8th
H/W: 10.1 (pg 324 - 327) ex. all except 9
Trigonometry 2
- The unit circle
- Trigonometric Identities
Thursday 26th
Spring break hw
Exercises on Trigonometry 1 will be uploaded next week. However, you may watch the power point presentation for main theory. Unfortunately it does not include extra elements but discussion in class will follow.
If you have any questions feel free to e-mail me during the weekend.
Tuesday 27th- Thursday 29th
The file includes revision exercises for the whole chapter. However, for Tuedsday, you may focus only on the transformations that is ex. 6,7,9,13,15,16
Thursday 22nd
h/w: pg 164 ex. 1, 5 (optional 6, 8)
Thursday 15th
Functions
h/w: pg 113 - 114 ex1, 2(except e,f,k), 3, 4 (functions or not)
Monday 12th
Test: Matrices
Portfolio drafts !!!
