MATHS SSL:
PREVIOUS MATERIAL (40%)
- Number, algebra
Very basics of number sets (real, integers, natural numbers)
Basics of scientific notation (Red book: 2.3.1, 2.3.2)
Arithmetic sequences (2.5)
Geometric sequences (2.6)
Speed (2.4.3)
THINGS TO KNOW:
- Know which numbers belong to each set (real, integers, natural numbers)
- How to add, subtract, multiply and divide numbers in scientific notation
- Sets, probability (less emphasis)
Basics of sets and set notation
Very basics of probability Prob(A) = Number of A/Total Number
And/or probability
Complements
The basic idea of subspaces Prob(a) = Number of scenarios involving a/Total number of events in subspace
Union, intersection and complements
Venn diagrams
THINGS TO KNOW:
- Using proper notation, how to write elements, union, intersection of sets
- Be sure to know how to shade Venn diagrams in a variety of situations
- "and" for ex. rolling
- Financial maths (less emphasis)
CURRENT MATERIAL (60%)
- Algebra concepts
Making a particular variable the subject of an equation
Given an expression in two variables, write one variable as a function of the other
- Word problems
Word problems as they relate to linear equations
Word problems as they relate to quadratic equations
THINGS TO KNOW:
-Throughout the course we have worked on many word problems, usually in the context of linear equations. I suggest looking over all word problems done in class and in homework to get an idea of what type of question will be asked.
Word problems as they relate to linear equations
Word problems as they relate to quadratic equations
THINGS TO KNOW:
-Throughout the course we have worked on many word problems, usually in the context of linear equations. I suggest looking over all word problems done in class and in homework to get an idea of what type of question will be asked.
- Function notation
Mappings
Proper notation for writing a mapping
Proper set notation for writing domain, co-domain, image set and range
Representing a function as a mapping
The use of open and closed circles to denote inclusive/exclusive intervals
Plotting discrete and continuous functions
Vertical line test
Relations (sets of ordered pairs) as functions
Mappings
Proper notation for writing a mapping
Proper set notation for writing domain, co-domain, image set and range
Representing a function as a mapping
The use of open and closed circles to denote inclusive/exclusive intervals
Plotting discrete and continuous functions
Vertical line test
Relations (sets of ordered pairs) as functions
Domain, Co-Domain, Range
THINGS TO KNOW:
- The difference between co-domain and range
- The difference between functions and non-functions in mappings
- The difference between discrete and continuous functions
- Using the vertical line test to tell if a graph is a function
- Whether or not a given relation is a function
- Linear equations
Equations of the form y = mx + c and ax + by + d = 0
Concept of gradient as Rise/Run
x and y-intercepts
Equations of horizontal and vertical lines
Points of intersection of two or more lines
Perpendicular and parallel lines
Word problems with linear equations
THINGS TO KNOW:
- Given two points on a line, find the gradient and then the equation of the line
- Given a point on a line, be able to use the gradient as a "map" to find the next point on the line in both the forwards and backwards directions
- Given gradient and a point, find the equation of the line
- If some of the following info is given: grad, y-int, x-int, point on line, equation of line; be able to find out other parts of info
- How to convert between the two forms of the equations
- Find points of intersection by substitution, elimination and graphic method (and know the difference between each of the methods)
- How the gradients of two perpendicular lines relate to each other
- How the gradients of two parallel lines relate to each other
- Quadratic equations
Basic factoring
Finding minimum and max values
x and y-intercepts of parabolas
Converting between the two forms y = ax^2 + bx + c and y = a(x-h)(x-k)
Vertex for y = ax^2 +bx + c
x and y-intercepts for y = a(x-h)(x-k)
Quadratic equation word problems (for example calculating area, perimeter etc.)
THINGS TO KNOW:
- Given x and y-intercepts of a parabola, write the equation
- Given the vertex of a parabola and the y-intercept, write the
equation
THINGS TO KNOW:
- The difference between co-domain and range
- The difference between functions and non-functions in mappings
- The difference between discrete and continuous functions
- Using the vertical line test to tell if a graph is a function
- Whether or not a given relation is a function
- Linear equations
Equations of the form y = mx + c and ax + by + d = 0
Concept of gradient as Rise/Run
x and y-intercepts
Equations of horizontal and vertical lines
Points of intersection of two or more lines
Perpendicular and parallel lines
Word problems with linear equations
THINGS TO KNOW:
- Given two points on a line, find the gradient and then the equation of the line
- Given a point on a line, be able to use the gradient as a "map" to find the next point on the line in both the forwards and backwards directions
- Given gradient and a point, find the equation of the line
- If some of the following info is given: grad, y-int, x-int, point on line, equation of line; be able to find out other parts of info
- How to convert between the two forms of the equations
- Find points of intersection by substitution, elimination and graphic method (and know the difference between each of the methods)
- How the gradients of two perpendicular lines relate to each other
- How the gradients of two parallel lines relate to each other
- Quadratic equations
Basic factoring
Finding minimum and max values
x and y-intercepts of parabolas
Converting between the two forms y = ax^2 + bx + c and y = a(x-h)(x-k)
Vertex for y = ax^2 +bx + c
x and y-intercepts for y = a(x-h)(x-k)
Quadratic equation word problems (for example calculating area, perimeter etc.)
THINGS TO KNOW:
- Given x and y-intercepts of a parabola, write the equation
- Given the vertex of a parabola and the y-intercept, write the
equation
