Australia · Year 8
Year 8 maths
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A. Integer exponents
- Evaluate powers with positive bases
- Evaluate powers with negative bases
- Zero exponents
- Negative exponents
- Negative bases with negative exponents
- Evaluate powers with any integer exponent
- Product rule for exponents: find the exponent
- Quotient rule for exponents: find the exponent
- Power of a power: find the exponent
- Exponent laws: product, quotient and power
- Exponent laws with negative exponents
- Evaluate a product of powers with the same base
- Evaluate a quotient of powers with the same base
- Evaluate a power of a power
- Evaluate powers with a negative exponent in a product
- Write repeated multiplication as a power
- Powers of fractions
- Powers of fractions with negative exponents
B. Scientific notation
- Convert scientific notation to standard form: large numbers
- Convert scientific notation to standard form: small numbers
- Convert standard form to scientific notation: large numbers
- Convert standard form to scientific notation: small numbers
- Scientific notation in real-world measurements
- Multiply numbers in scientific notation
- Multiply decimals in scientific notation
- Divide numbers in scientific notation
- Divide in scientific notation with negative exponents
- How many times larger? Compare numbers in scientific notation
- Order numbers in scientific notation
- Order numbers in scientific notation with negative exponents
- Add numbers in scientific notation
- Subtract numbers in scientific notation
- Compare numbers in scientific notation
C. Square roots and cube roots
- Square roots of perfect squares
- Cube roots of perfect cubes
- Square roots of fractions
- Square roots of decimals
- Add, subtract and multiply square roots of perfect squares
- Solve equations with squares
- Solve equations with squares: both solutions
- Solve equations with cubes
- Solve equations with squares and fractions
- Side length of a square from its area
- Edge length of a cube from its volume
- Side of a square or edge of a cube
- Simplify square roots
- Simplify square roots with a coefficient
- Between which two whole numbers is the cube root?
- Round cube roots to the nearest whole number
- Fence around two square gardens
D. Rational and irrational numbers
- Rational or irrational: square roots
- Rational or irrational: fractions, decimals and roots
- Write repeating decimals as fractions
- Between which two whole numbers is the square root?
- Round square roots to the nearest whole number
- Round square roots to the nearest tenth
- Compare a square root with a decimal
- Order irrational numbers and decimals
E. Slope
- Slope from rise and run
- Slope from two points: positive whole-number slopes
- Slope from two points with negative slopes
- Slope from two points: fractions
- Slopes of horizontal and vertical lines
- Slope from a table: positive slopes
- Slope from a table with negative slopes
- Slope from a table: fractions
- Slope of a line from y = mx + b
- Slope of a line from y = mx + b: fractions
- Slope from the standard form of a line
- Compare unit rates: who is faster?
F. Intercepts and equations of lines
- y-intercept of a line from y = mx + b
- y-intercept of a line with fraction slope
- Slope and y-intercept together
- Slope and y-intercept with fraction slopes
- x-intercept of a line from y = mx + b
- y-intercept from the standard form of a line
- x-intercept from the standard form of a line
- Write the equation of a line from the slope and y-intercept
- Write the equation of a line from the slope and a point
- Write the equation of a line from two points
G. Functions
- Is it a function? Ordered pairs
- Evaluate a linear function
- Evaluate a quadratic function
- Find the input for a given output
- Linear or nonlinear? Tables
- Compare the rates of change of two functions
- Are two lines parallel?
- Domain of a relation
- Range of a relation
- Compare initial values of two functions
- Linear or nonlinear equations
H. Rate of change and initial value
I. Equations in one variable
J. Systems of equations
- Is an ordered pair a solution of the system?
- How many solutions does the system have?
- How many solutions? Systems in standard form
- Solve a system by substitution: both equations in slope-intercept form
- Solve a system by substitution: one equation solved for y
- Solve a system by elimination: opposite coefficients
- Solve a system by elimination: multiply one equation
- Solve a system of equations in standard form
- Systems word problems: sum and difference
- Systems word problems: wheels on bicycles and tricycles
- Systems word problems: one number is a multiple of another
- Find x in a system by setting the expressions equal
- Find y in a system by setting the expressions equal
- When do two plans cost the same?
K. Transformations
- Translate a point
- Reflect a point in the x-axis or y-axis
- Reflect a point in an axis or the line y = x
- Rotate a point 180 degrees about the origin
- Rotate a point 90 degrees about the origin
- Rotate a point 90 or 180 degrees about the origin
- Dilate a point by a whole-number scale factor
- Dilate a point by a fractional scale factor
- Find the scale factor of a dilation
- Translate then reflect or rotate a point
- Identify a translation or a reflection
- Identify a transformation: translation, reflection, rotation or dilation
- Congruent, similar or neither: compare side lengths
- Translate a triangle: find the image of a vertex
- Reflect a triangle in an axis: find the image of a vertex
- Reflect a triangle in an axis or the line y = x
- Describe a translation from two points
- Which axis was the point reflected in?
- Which rotation about the origin?
- Lengths after a dilation
- Areas after a dilation
- Find a missing side of similar triangles
L. Angles and polygons
- Corresponding angles and parallel lines
- Alternate interior angles and parallel lines
- Alternate exterior angles and parallel lines
- Vertical angles at a transversal
- Co-interior angles and parallel lines
- Angles formed by parallel lines and a transversal
- Solve for x: equal angles at a transversal
- Solve for x: co-interior angles
- Sum of the interior angles of a polygon
- Missing angle in a quadrilateral
- Missing angle in a pentagon
- Missing angle in a hexagon
- Interior angle of a regular polygon
- Interior angle of a regular polygon: round to the nearest tenth
- Exterior angle of a regular polygon
- Number of sides of a regular polygon from its angle
- Are two triangles similar? Compare angles
- Solve for x: the angles of a triangle
- Solve for x: angles on a straight line
- Number of diagonals of a polygon
- Number of sides from the sum of the interior angles
- Missing exterior angle of a polygon
M. Pythagorean theorem
- Find the hypotenuse of a right triangle
- Find a leg of a right triangle
- Find a missing side of a right triangle
- Find the hypotenuse: round to the nearest tenth
- Find a leg: round to the nearest tenth
- Find a missing side: round to the nearest tenth
- Is it a right triangle? Converse of the Pythagorean theorem
- Is it a right triangle? Sides that are close
- Distance between two points
- Distance between two points: round to the nearest tenth
- Pythagorean theorem word problems: ladders
- Pythagorean theorem word problems: diagonals of rectangles
- Diagonals of rectangles: round to the nearest tenth
- Perimetre of a right triangle from its legs
- Area of a right triangle from the hypotenuse and a leg
- Is the triangle acute, right or obtuse?
- Is it a Pythagorean triple?
- Diagonal of a box
- Hypotenuse of an isosceles right triangle
- How far from the start? East then north
N. Volume of cylinders, cones and spheres
- Volume of a cylinder
- Volume of a cylinder in terms of π
- Volume of a cylinder from its diametre
- Volume of a cylindrical tank
- Volume of a cone
- Volume of a cone in terms of π
- Volume of a sphere
- Volume of a hemisphere
- Find the height of a cylinder from its volume
- Find the height of a cylinder or cone from its volume
- Find the radius of a cylinder from its volume
- Volume of a silo: a cylinder with a cone on top
- Capacity of a cylinder in millilitres
- Surface area of a cylinder
- Volume of a cone from the matching cylinder
O. Bivariate data
- Describe the association in a scatter plot from data
- Use a line of best fit to predict
- Use a line of best fit with a decimal slope
- What the slope of a line of best fit means
- What the intercept of a line of best fit means
- Find x for a predicted y on a line of best fit
- Relative frequency in a two-way table: students who play a sport
- Relative frequency in a two-way table: students in the band
- Relative frequency in a two-way table: all students
- Spot the outlier in a scatter plot
- Percent of students from a two-way table
- Slope of a line of best fit from two points
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