Lesson 5: Sine and cosine laws
Geometry and trigonometry
You are a quarter of the way through this course. This is an Assessment of Learning, which is used to
evaluate your work based on established criteria and to assign a mark. Your teacher will provide
Unit 3
3.2- Work with exponents
A power is a product of identical factors. For example: 24
A power has 2 parts:
1. Base
2. Exponent
The base is the identical factor, and the exponent tells how many factors there
are.
Powers are useful in expressing repea
Unit 5 Quadratic Expressions
Multiplying Polynomials
Expand the following binomial
( x+ 2 ) (2 x +3)
Method 1: Model Using Algebra Tiles
The expression
( x+2 ) (2 x +3) is modelled on the side and the inside which is produced will be the
expanded product
Unit 3 Geometric Properties
Triangle Properties
Perpendicular Bisector Intersection
The intersection of the bisectors is where all vertices of
the triangle are equidistant to that point is called the
cricumcentre
Perpendicular Bisector A 90 degree line th
Unit 2 Analytic Geometry
Cartesian Grid Grid with perpendicular lines
Midpoint Of A Line Segment
Midpoint Point that divides a line segment into two equal line segments
Method 1: Calculate The Rise And Run
You can determine the midpoint of a line by using
Unit 4 Quadratic Relations
Non-Linear Relation A relationship between two variables that does not follow a straight line when
graphed
Curve Of Best Fit A smooth curve drawn to approximate the general path or tend in a scatter plot
Line Of Best Fit A strai
Unit 6 Quadratic Equations
Complete The Square
When we complete the square we are writing an equation from standard form
2
y=a x +bx +c into
2
y=a ( xh ) + k
Example:
2
y=x +8 x+5 into vertex form
Rewrite
Step 1: Create a perfect square trinomial
2
y=x +8
Unit 1 Linear Systems
Linear System Two or more linear equations that are considered at the same time
Point Of Intersection A point where two lines cross/a point that is common to both lines. Solving a
linear system is finding its POI (point of intersecti
Unit 7 Trigonometry Of Right Triangles
Congruent Figures Are identical shapes, have the same lengths which correspond to the other shape,
and same angles
Similar Figures These shapes are somewhat similar. Their angles are the same and the ratios compared
Unit 8 Trigonometry Of Acute Triangles
The Sine Law
Sine Law The relationship between the sides and their opposite angles in any acute
ABC:
sin A sin B sinC
=
=
a
b
c
Remember that the side is named as the lowercase version of the angle which it is oppos