SUBJECT: Mathematics
YEAR GROUP: Year 10 (A and B)
Week Learning objectives
Use language, notation and Venn diagrams
1
to describe sets and represent relationships
2
between sets.
Algebraic skills (factorization and algebraic
3
fractions)
4
5
Angle theorems and symmetry properties of
circles
6
7
Algebraic skills (solving quadratic equations
and simple exponential equations)
8
9
Functions
10
Algebra and graphs
11
TEACHER: Anna Tokarz
Activities (in brief)
Learning to understand and use set notation;
Recognizing number sets;
Extracting common factors, factorization by grouping, factorization of quadratics
by splitting the middle term, use of algebraic identities;
Application of algebraic factorization in solving problems involving factorization of
numbers;
Manipulating algebraic fractions (simplifying, addition, subtraction, multiplication
and division) ;
Revision or establishing theorems about angles at a point, within parallel lines, in
a circle;
Calculating missing angles with giving reasons – practice in using correct
mathematical terminology and deductive reasoning;
Establishing theorems about angles in polygons: interior angles, exterior angles,
angles in regular polygons.
Solving quadratic equations- practice in using 3 methods: by factorization, by
completing the square or by the quadratic formula;
Evaluating expressions with fractional or negative indices;
Review of rules of indices and application in solving simple exponential
equations.
Review of a concept of a function and notation;
The concept of inverse function and composite function;
Various ways of representing functions including graphs.
Drawing graphs of functions given tables of values;
Review of linear function;
Distinguishing types of functions: linear, power, exponential;
Reading information from graphs;
Solving equations graphically;
12
Trigonometry
13
Advanced trigonometry
14
15
Direct and inverse variation
Estimating gradients of curves at a point by drawing tangents
Application of Pythagoras theorem and trigonometric ratios in solving problems
in 3D including angle between a line and a plane.
Extension of sine and cosine values to angles between 90 and 180 degrees;
Discovery and application of The Sine Rule and The Cosine Rule;
Learning how to decide which is the appropriate rule to be used;
1
Calculating the area of a triangle with 𝐴 = 2 𝑎𝑏 sin 𝐶
Review of direct and inverse proportion and their graphical representation;
Expressing direct and inverse variation in algebraic terms and using this form to
find unknown quantities.