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Divisibility Rules
Prime factors
Determining Common Factors
Determining Common Multiples
Introduction to exponents
Introduction to integer addition
Adding integers
Introduction to integer subtraction
Subtracting integers
Application of integer operations
Understanding integer multiplication
Multiplying integers
Understanding integer division
Dividing integers
Applications of integer operations
Comparing and ordering rational numbers
Solving problems with rational numbers in decimal form
Solving problems with rational numbers in fraction form
Determine square roots of rational numbers
Using exponents to describe numbers
Exponent rules
Order of operations with exponents
Using exponents to solve problems
Ratios
Rates
Proportions
Identifying proportional relationships
Understanding graphs of proportional relationships
Understanding tables of values of proportional relationships
Applications of linear relationships
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
Square and square roots
Cubic and cube roots
Evaluating and simplifying radicals
Converting radicals to mixed radicals
Converting radicals to entire radicals
Adding and subtracting radicals
Multiplying and dividing radicals
Rationalize the denominator
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
Cartesian plane
Draw on coordinate planes
Introduction to transformations
Horizontal and vertical distances
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
Line symmetry
Rotational symmetry and transformations
Surface area of 3-dimensional shapes
Classifying triangles
Isosceles and equilateral triangles
Circles and circumference
Angles in a circle
Arcs of a circle
Areas and sectors of circles
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
Squares and square roots
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
Surface area of prisms
Surface area of cylinders
Introduction to volume
Volume of prisms
Volume of cylinders
Word problems relating volume of prisms and cylinders
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using addition and subtraction: ax + b = c
Solving two-step linear equations using multiplication and division: x/a + b = c
Solving two-step linear equations using distributive property: a(x + b) = c
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
Solving literal equations
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Function notation
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2−x1)2+(y2−y1)2
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1+x2,2y1+y2)
Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2−x1y2−y1
Gradient intercept form: y = mx + b
General form: Ax + By + C = 0
Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)y−y1=m(x−x1)
Rate of change
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing from gradient-intercept form y=mx+b
Graphing linear functions using a single point and gradient
Word problems of graphing linear functions
Parallel and perpendicular lines in linear functions
Applications of linear relations
Common factors of polynomials
Factorising polynomials by grouping
Solving polynomials with the unknown "b" from x^2 + bx + c
Solving polynomials with the unknown "c" from x^2 + bx + c
Factorising polynomials: x^2 + bx + c
Applications of polynomials: x^2 + bx + c
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + cax2+bx+c
Factorising polynomials: ax2+bx+cax^2 + bx + cax2+bx+c
Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
Evaluating polynomials
Using algebra tiles to factorise polynomials
Solving polynomial equations
Word problems of polynomials
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Stem-and-leaf plots
Pie charts
Reading and drawing Venn diagrams
Frequency tables and dot plots
Median and mode
Mean
Range and outliers
Application of averages
Determining probabilities using tree diagrams and tables
Probability of independent events
Probability with Venn diagrams
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