Mathematics

Numbers

• A.1 Classify numbers
• A.2 Compare and order rational numbers
• A.3 Number lines
• A.4 Convert between decimals and fractions
• A.5 Square roots
• A.6 Cube roots

Operations

• B.1 Add, subtract, multiply and divide integers
• B.2 Evaluate numerical expressions involving integers
• B.3 Evaluate variable expressions involving integers
• B.4 Add and subtract rational numbers
• B.5 Multiply and divide rational numbers
• B.6 Evaluate numerical expressions involving rational numbers
• B.7 Evaluate variable expressions involving rational numbers

Ratios, rates and proportions

• C.1 Identify equivalent ratios
• C.2 Write an equivalent ratio
• C.3 Unit rates
• C.4 Unit prices
• C.5 Solve proportions
• C.6 Solve proportions: word problems
• C.7 Scale drawings: word problems

Percents

• D.1 Convert between percents, fractions and decimals
• D.2 Solve percent equations
• D.3 Percent word problems
• D.4 Percent of change
• D.5 Percent of change: word problems
• D.6 Percent of a number: VAT, discount and more
• D.7 Find the percent: discount and mark-up
• D.8 Multi-step problems with percents

Measurement

• E.1 Convert rates and measurements
• E.2 Precision
• E.3 Greatest possible error
• E.4 Minimum and maximum area and volume
• E.5 Percent error
• E.6 Percent error: area and volume

Lines and angles

• F.1 Transversals: name angle pairs
• F.2 Transversals of parallel lines: find angle measures
• F.3 Identify complementary, supplementary, vertical, adjacent and congruent angles
• F.4 Find measures of complementary, supplementary, vertical and adjacent angles

Triangles

• G.1 Classify triangles
• G.2 Triangle angle-sum property
• G.3 Exterior angle property
• G.4 Exterior angle inequality
• G.5 Angle-side relationships in triangles
• G.6 Triangle Inequality Theorem
• G.7 Midsegments of triangles
• G.8 SSS, SAS and ASA Theorems
• G.9 SSS Theorem in the coordinate plane
• G.10 Congruency in isosceles and equilateral triangles
• G.11 Hypotenuse-Leg Theorem

Quadrilaterals

• H.1 Classify quadrilaterals
• H.2 Graph quadrilaterals
• H.3 Properties of parallelograms
• H.4 Proving a quadrilateral is a parallelogram
• H.5 Properties of rhombuses
• H.6 Properties of squares and rectangles
• H.7 Properties of trapeziums
• H.8 Properties of kites
• H.9 Review: properties of quadrilaterals

Polygons

• I.1 Polygon vocabulary
• I.2 Interior angles of polygons
• I.3 Exterior angles of polygons
• I.4 Review: interior and exterior angles of polygons

Area and perimeter

• J.1 Perimeter
• J.2 Area of rectangles and squares
• J.3 Area of parallelograms and triangles
• J.4 Area of trapeziums
• J.5 Area and circumference of circles
• J.6 Area of compound figures
• J.7 Area between two shapes
• J.8 Area and perimeter mixed review
• J.9 Heron’s formula

Surface area and volumei

• K.1 Introduction to surface area and volume
• K.2 Surface area of prisms and cylinders
• K.3 Surface area of cones
• K.4 Volume of prisms and cylinders
• K.5 Volume of cones
• K.6 Surface area and volume of spheres
• K.7 Surface area and volume review

Circles

• L.1 Parts of a circle
• L.2 Central angles
• L.3 Arc measure and arc length
• L.4 Area of sectors
• L.5 Circle measurements: mixed review
• L.6 Arcs and chords
• L.7 Tangent lines
• L.8 Perimeter of polygons with an inscribed circle
• L.9 Inscribed angles
• L.10 Angles in inscribed right triangles
• L.11 Angles in inscribed quadrilaterals

Constructions

• M.1 Construct the midpoint or perpendicular bisector of a segment
• M.2 Construct an angle bisector
• M.3 Construct a congruent angle
• M.4 Construct an equilateral triangle or regular hexagon

Solve equations

• N.1 Model and solve equations using algebra tiles
• N.2 Write and solve equations that represent diagrams
• N.3 Solve one-step linear equations
• N.4 Solve two-step linear equations
• N.5 Solve advanced linear equations
• N.6 Solve equations with variables on both sides
• N.7 Solve equations: complete the solution
• N.8 Find the number of solutions
• N.9 Create equations with no solutions or infinitely many solutions
• N.10 Solve linear equations: word problems
• N.11 Solve linear equations: mixed review

Data and graphs

• O.1 Interpret bar graphs, line graphs and histograms
• O.2 Create bar graphs, line graphs and histograms
• O.3 Interpret pie charts
• O.4 Interpret stem-and-leaf plots

Problem solving

• P.1 Word problems: mixed review
• P.2 Word problems with money
• P.3 Consecutive integer problems
• P.4 Rate of travel: word problems
• P.5 Weighted averages: word problems

Logic

• Q.1 Identify hypotheses and conclusions
• Q.2 Counterexamples

Coordinate plane

• R.1 Coordinate plane review
• R.2 Quadrants and axes

Direct variation

• S.1 Identify proportional relationships
• S.2 Find the constant of variation
• S.3 Graph a proportional relationship
• S.4 Write direct variation equations
• S.5 Write and solve direct variation equations

Linear equations

• T.1 Identify linear equations
• T.2 Find the slope of a graph
• T.3 Find the slope from two points
• T.4 Find a missing coordinate using slope
• T.5 Slope-intercept form: find the slope and y-intercept
• T.6 Slope-intercept form: graph an equation
• T.7 Slope-intercept form: write an equation from a graph
• T.8 Slope-intercept form: write an equation
• T.9 Slope-intercept form: write an equation from a table
• T.10 Slope-intercept form: write an equation from a word problem
• T.11 Linear equations: solve for y
• T.12 Write linear equations to solve word problems
• T.13 Compare linear equations, graphs and tables
• T.14 Write equations in standard form
• T.15 Standard form: find x- and y-intercepts
• T.16 Standard form: graph an equation
• T.17 Equations of horizontal and vertical lines
• T.18 Graph a horizontal or vertical line
• T.19 Slopes of parallel and perpendicular lines
• T.20 Write an equation for a parallel or perpendicular line

Exponents

• U.1 Exponents with integer bases
• U.2 Exponents with decimal and fractional bases
• U.3 Negative exponents
• U.4 Multiplication with exponents
• U.5 Division with exponents
• U.6 Multiplication and division with exponents
• U.7 Power rule
• U.8 Evaluate expressions using properties of exponents
• U.9 Identify equivalent expressions involving exponents

Rational exponents

• V.1 Evaluate rational exponents
• V.2 Multiplication with rational exponents
• V.3 Division with rational exponents
• V.4 Power rule with rational exponents
• V.5 Simplify expressions involving rational exponents I
• V.6 Simplify expressions involving rational exponents II

Logarithms

• W.1 Convert between exponential and logarithmic form: rational bases
• W.2 Evaluate logarithms
• W.3 Change of base formula
• W.4 Identify properties of logarithms
• W.5 Product property of logarithms
• W.6 Quotient property of logarithms
• W.7 Power property of logarithms
• W.8 Properties of logarithms: mixed review
• W.9 Evaluate logarithms: mixed review

Scientific notation

• X.1 Convert between standard and scientific notation
• X.2 Compare numbers written in scientific notation
• X.3 Multiply numbers written in scientific notation
• X.4 Divide numbers written in scientific notation

Monomials

• Y.1 Identify monomials
• Y.2 Multiply monomials
• Y.3 Divide monomials
• Y.4 Multiply and divide monomials
• Y.5 Powers of monomials

Polynomials

• Z.1 Polynomial vocabulary
• Z.2 Model polynomials with algebra tiles
• Z.3 Add and subtract polynomials using algebra tiles
• Z.4 Add and subtract polynomials
• Z.5 Add polynomials to find perimeter
• Z.6 Multiply a polynomial by a monomial
• Z.7 Multiply two polynomials using algebra tiles
• Z.8 Multiply two binomials
• Z.9 Multiply two binomials: special cases
• Z.10 Multiply polynomials
• Z.11 Write a polynomial from its roots
• Z.12 Find the roots of factorised polynomials

Factorising

• AA.1 HCF of monomials
• AA.2 Factorise out a monomial
• AA.3 Factorise quadratics with leading coefficient 1
• AA.4 Factorise quadratics with other leading coefficients
• AA.5 Factorise quadratics: special cases
• AA.6 Factorise quadratics using algebra tiles
• AA.7 Factorise by grouping
• AA.8 Factorise polynomials

Quadratic equations

• BB.1 Characteristics of quadratic equations
• BB.2 Complete a table: quadratic equations
• BB.3 Solve a quadratic equation using square roots
• BB.4 Solve a quadratic equation using the zero product property
• BB.5 Solve a quadratic equation by factorising
• BB.6 Solve a quadratic equation using the quadratic formula

Radical expressions

• CC.1 Roots of integers
• CC.2 Roots of rational numbers
• CC.3 Find roots using a calculator
• CC.4 Nth roots
• CC.5 Simplify radical expressions with variables I
• CC.6 Simplify radical expressions with variables II
• CC.7 Multiply radical expressions
• CC.8 Divide radical expressions
• CC.9 Add and subtract radical expressions
• CC.10 Simplify radical expressions using the distributive property
• CC.11 Simplify radical expressions using conjugates

Rational expressions

• DD.1 Simplify complex fractions
• DD.2 Simplify rational expressions
• DD.3 Multiply and divide rational expressions
• DD.4 Divide polynomials
• DD.5 Add and subtract rational expressions
• DD.6 Solve rational equations

Probability

• EE.1 Theoretical probability
• EE.2 Experimental probability
• EE.3 Compound events: find the number of outcomes
• EE.4 Identify independent and dependent events
• EE.5 Probability of independent and dependent events
• EE.6 Factorials
• EE.7 Counting principle

Statistics

• FF.1 Mean, median, mode and range
• FF.2 Quartiles
• FF.3 Identify biased samples
• FF.4 Variance and standard deviation