Algebra Curriculum |

Understanding equations | test |

Understanding constants | test |

Understanding variables | test |

Understanding coefficients | test |

Understanding exponents | test |

Understanding operators | test |

Understanding terms in algebra | test |

Understanding expressions in algebra | test |

Adding letters | test |

Subtracting letters | test |

Multiplying letters | test |

Dividing letters | test |

Adding terms | test |

Subtracting terms | test |

Multiplying terms | test |

Dividing terms | test |

Understanding the laws of exponents | test |

Understanding an exponent of −1 | test |

Multiplying powers | test |

Dividing powers | test |

Finding a power of a power | test |

Finding a power of a product | test |

Finding a negative exponent | test |

Understanding like terms | test |

Identifying like terms | test |

Adding like terms | test |

Subtracting like terms | test |

Collecting like terms | test |

Expanding brackets | test |

Expanding brackets using the grid method | test |

Expanding double brackets | test |

Understanding the FOIL methods | test |

Multiplying expressions in algebra | test |

Expanding double brackets using the grid method | test |

Solving an equation with brackets | test |

Solving an equation with two sets of brackets | test |

Understanding factors in algebra | test |

Finding factors in algebra | test |

Understanding the greatest common factor in algebra | test |

Finding the greatest common factor in algebra | test |

Factoring an expression | test |

Understanding algebraic fractions | test |

Adding algebraic fractions | test |

Subtracting algebraic fractions | test |

Multiplying algebraic fractions | test |

Dividing algebraic fractions | test |

Simplifying algebraic fractions | test |

Finding the reciprocal of an algebraic fraction | test |

Equations: Linear Equations Curriculum |

Understanding equations | test |

Understanding linear equations | test |

Understanding linear equations in slope-intercept form | test |

Understanding slope | test |

Finding the slope of a line | test |

Finding the slope from a linear equation | test |

Understanding the y-intercept | test |

Finding the y-intercept of a line | test |

Finding the y-intercept from a linear equation | test |

Finding the equation of a line | test |

Understanding linear equations in slope-point form | test |

Finding the slope from a linear equation in slope-point form | test |

Finding the y-intercept from a linear equation in slope-point form | test |

Understanding linear equations in general form | test |

Finding the slope from a linear equation in general form | test |

Finding the y-intercept from a linear equation in general form | test |

Converting a linear equation from general to slope-intercept form | test |

Finding the equation of a line between two points | test |

Equations: Quadratic Equations Curriculum |

Understanding quadratic equations | test |

Solving quadratic equations | test |

Solving quadratic equations using factoring | test |

Solving quadratic equations using factoring (a ≠ 1) | test |

Solving quadratic equations using the quadratic formula | test |

Solving quadratic equations using a graph | test |

Understanding a difference of squares | test |

Solving quadratic equations using a difference of squares | test |

Understanding perfect square trinomials | test |

Understanding completing the square | (request a test) |

Completing the square | test |

Equations: Simultaneous Equations Curriculum |

Understanding simultaneous equations | (request a test) |

Solving simultaneous equations | test |

Solving simultaneous equations using elimination | test |

Solving simultaneous equations using elimination (where coefficients differ) | test |

Solving simultaneous equations using substitution | test |

Solving simultaneous equations using a graph | test |

Equations: Functions Curriculum |

Understanding functions | test |

Evaluating functions | test |

Finding y-intercept of a function | test |

Finding x-intercepts of a function | test |

Understanding composite functions | test |

Finding a composite function | test |

Evaluating a composite function | test |

Understanding inverse functions | test |

Finding the inverse of a function | test |

Finding the inverse of a function using a graph | test |

Fractions and Percentages: Fractions Curriculum |

Understanding fractions | test |

Understanding the numerator | test |

Understanding the denominator | test |

Understanding proper fractions | test |

Understanding improper fractions | test |

Understanding mixed fractions | test |

Converting mixed to improper fractions | test |

Converting improper to mixed fractions | test |

Understanding equivalent fractions and simplest form | test |

Simplifying fractions | test |

Adding fractions | test |

Subtracting fractions | test |

Multiplying fractions | test |

Dividing fractions | test |

Finding the reciprocal of a fraction | test |

Finding the power of a fraction | test |

Finding a fraction of a number | test |

Expressing a number as a fraction of another number | test |

Converting a fraction to a percentage | test |

Converting a fraction to a decimal | test |

Fractions and Percentages: Percentages Curriculum |

Understanding percentages | test |

Finding a percentage of a number | test |

Expressing a number as a percentage of another number | test |

Understanding percentage changes | test |

Finding a percentage change | test |

Converting a percentage to a fraction | test |

Converting a percentage to a decimal | test |

Geometry: Shapes Curriculum |

Understanding circles | test |

Understanding ellipses | test |

Understanding parallelograms | test |

Understanding rectangles | test |

Understanding squares | test |

Understanding trapezoids | test |

Understanding triangles | test |

Finding the area of a circle | test |

Finding the area of an ellipse | test |

Finding the area of a parallelogram | test |

Finding the area of a rectangle | test |

Finding the area of a square | test |

Finding the area of a trapezoid | test |

Finding the area of a triangle | test |

Finding the volume of a cone | test |

Finding the volume of a cube | test |

Finding the volume of a cylinder | test |

Finding the volume of a sphere | test |

Understanding the radius | test |

Understanding the diameter | test |

Understanding the circumference | test |

Understanding pi | test |

Finding the length of an arc (degrees) | test |

Finding the length of an arc (radians) | test |

Finding the area of a sector (degrees) | test |

Finding the area of a sector (radians) | test |

Finding the radius from the diameter | test |

Finding the radius from the circumference | test |

Finding the radius from the area | test |

Finding the diameter from the radius | test |

Finding the diameter from the circumference | test |

Finding the diameter from the area | test |

Finding the area of a circle using diameter | test |

Understanding the circle theorems | test |

Tangent meets a radius at 90° | test |

Two radii make an isosceles triangle | test |

Perpendicular bisector of a chord | test |

Angle at the center is twice the angle at the circumference | test |

Angle in a semicircle is 90° | test |

Angles in the same segment are equal | test |

Angles in a cyclic quadrilateral | test |

Tangents from the same point are the same length | test |

Alternate segment theorem | test |

Understanding the types of triangles | test |

Understanding equilateral triangles | test |

Understanding isosceles triangles | test |

Understanding scalene triangles | test |

Understanding the interior angles of a triangle | test |

Finding a missing angle in a triangle | test |

Finding a missing angle in an isosceles triangle | test |

Understanding angles | test |

Understanding degrees | test |

Understanding the types of angles | test |

Understanding acute angles | test |

Understanding right angles | test |

Understanding obtuse angles | test |

Understanding straight angles | test |

Understanding reflex angles | test |

Understanding full angles | test |

Understanding radians | test |

Understanding complementary angles | test |

Understanding supplementary angles | test |

Understanding explementary angles | test |

Understanding polygons | test |

Understanding the interior angles of a polygon | test |

Finding the interior angle of a regular polygon | test |

Finding the sum of the interior angles of a polygon | test |

Understanding the exterior angles of a polygon | (request a test) |

Finding the exterior angle of a regular polygon | test |

Understanding the sum of an interior and exterior angle of a polygon is 180° | test |

Geometry: Transformations Curriculum |

Understanding transformations | test |

Understanding translations | test |

Translating a shape | test |

Describing a translation | test |

Understanding rotations | test |

Understanding the radial coordinate | test |

Understanding the common rotations | test |

Rotating a shape | (request a test) |

Describing a rotation | test |

Understanding reflections | test |

Understanding the common reflections | test |

Reflecting a shape | test |

Describing a reflection | test |

Understanding enlargements | test |

Understanding the scale factor | test |

Enlarging a shape | (request a test) |

Enlarging a shape with a fractional scale factor | (request a test) |

Enlarging a shape with a negative scale factor | (request a test) |

Describing an enlargement | test |

Describing an enlargement with a negative scale factor | test |

Graphs and Coordinate Geometry Curriculum |

Understanding the parts of a graph | test |

Understanding the x-axis | test |

Understanding the y-axis | test |

Understanding the origin | test |

Understanding Cartesian coordinates | test |

Understanding the x-coordinate | test |

Understanding the y-coordinate | test |

Drawing a point from Cartesian coordinates | test |

Reading off a point from Cartesian coordinates | test |

Understanding polar coordinates | test |

Understanding the radial coordinate | test |

Understanding the angular coordinate | test |

Drawing a point from Cartesian coordinates | test |

Reading off a point from polar coordinates | test |

Converting from Cartesian to polar coordinates | test |

Converting from polar to Cartesian coordinates | test |

Finding the distance between points | test |

Finding the slope between points | test |

Finding the midpoint between points | test |

Translating shapes | test |

Reflecting shapes in the x-axis | test |

Reflecting shapes in the y-axis | test |

Reflecting shapes in the line y = x | test |

Reflecting shapes in the line y = −x | test |

Understanding the basic equation of a circle | test |

Understanding the equation of a circle | test |

Finding the center and radius from the equation of a circle | test |

Understanding the equation of a circle in general form | test |

Converting an equation of a circle from general to standard form | test |

Numbers and Arithmetic: Numbers Curriculum |

Understanding the types of numbers | test |

Understanding natural numbers | test |

Understanding whole numbers | test |

Understanding integers | test |

Understanding positive numbers | test |

Understanding negative numbers | test |

Arithmetic with negative numbers | test |

Understanding even numbers | test |

Understanding odd numbers | test |

Arithmetic with even and odd numbers | test |

Understanding prime numbers | test |

Understanding composite numbers | test |

The fundamental theorem of arithmetic | test |

Understanding square numbers | test |

Understanding square roots | test |

Understanding the number line | test |

Adding on the number line | test |

Subtracting on the number line | test |

Numbers and Arithmetic: Arithmetic Curriculum |

Understanding operations | test |

Understanding inverse operations | test |

Understanding the order of operations | test |

Understanding place value | test |

Understanding long addition | test |

Understanding long subtraction | test |

Understanding long multiplication | test |

Understanding long multiplication with decimals | test |

Understanding long division | test |

Understanding long division with a remainder | test |

Understanding long division with decimals | test |

Understanding factors | test |

Finding factors | test |

Understanding the greatest common factor | test |

Finding the greatest common factor | test |

Understanding multiples | test |

Understanding the least common multiple | test |

Finding the least common multiple | test |

Understanding powers | test |

Understanding bases | test |

Understanding exponents | test |

Understanding the laws of exponents | test |

Multiplying powers | test |

Dividing powers | test |

Finding a power of a power | test |

Finding a negative exponent | test |

Understanding reciprocals | test |

Understanding an exponent of −1 | test |

Numbers and Arithmetic: Notation Curriculum |

Understanding powers of 10 | test |

Understanding scientific notation | test |

Converting a number to scientific notation | test |

Converting a number less than 1 to scientific notation | test |

Converting scientific notation to a number | test |

Converting scientific notation with a negative exponent to a number | test |

Understanding engineering notation | test |

Converting a number to engineering notation | test |

Converting a number less than 1 to engineering notation | test |

Converting engineering notation to a number | test |

Converting engineering notation with a negative exponent to a number | test |

Probability and Statistics: Probability Curriculum |

Understanding probability | test |

Finding a probability | test |

Understanding independent events | test |

Understanding the multiplication rule | test |

Understanding dependent events | test |

Understanding mutually exclusive events | test |

Understanding the addition rule | test |

Understanding complementary events | test |

Understanding tree diagrams | (request a test) |

Drawing a tree diagram | (request a test) |

Multiplication rule on a tree diagram | test |

Addition rule on a tree diagram | test |

Understanding dependent events on a tree diagram | test |

Probability and Statistics: Statistics Curriculum |

Understanding data | test |

Understanding the types of data | test |

Understanding quantitative data | test |

Understanding discrete data | test |

Understanding continous data | test |

Understanding qualitative data | test |

Understanding averages | test |

Understanding the mean | test |

Finding the mean | test |

Understanding the median | test |

Finding the median | test |

Understanding the mode | test |

Finding the mode | test |

Understanding the range | test |

Finding the range | test |

Understanding the quartile | test |

Understanding the lower quartile | test |

Understanding the upper quartile | test |

Finding the quartiles | test |

Understanding the interquartile range | test |

Finding the interquartile range | test |

Understanding frequency tables | test |

Making a frequency table | (request a test) |

Finding the mean from a frequency table | test |

Finding the median from a frequency table | test |

Finding the mode from a frequency table | test |

Finding the range from a frequency table | test |

Understanding cumulative frequency tables | test |

Making a cumulative frequency table | (request a test) |

Understanding grouped frequency tables | test |

Making a grouped frequency table | (request a test) |

Finding the mean from a grouped frequency table | test |

Finding the median group from a grouped frequency table | test |

Finding the mode group from a grouped frequency table | test |

Understanding cumulative grouped frequency tables | test |

Making a cumulative grouped frequency table | (request a test) |

Understanding bar charts | test |

Reading from a bar chart | test |

Creating a bar chart | (request a test) |

Bar charts and the types of data | test |

Trigonometry Curriculum |

Understanding right triangle | test |

Understanding the adjacent | test |

Understanding the opposite | test |

Understanding the hypotenuse | test |

Understanding Pythagoras' theorem | test |

Finding the hypotenuse using Pythagoras' theorem | test |

Finding a shorter side using Pythagoras' theorem | test |

Understanding the sine function | test |

Finding the angle using the sine function | test |

Finding the opposite using the sine function | test |

Finding the hypotenuse using the sine function | test |

Understanding the cosine function | test |

Finding the angle using the cosine function | test |

Finding the adjacent using the cosine function | test |

Finding the hypotenuse using the cosine function | test |

Understanding the tangent function | test |

Finding the angle using the tangent function | test |

Finding the opposite using the adjacent function | test |

Finding the adjacent using the tangent function | test |

Finding the area of a triangle using trigonometry | test |