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algebra curriculum
Algebra Definitions
understanding equations understanding constants understanding variables understanding coefficients understanding exponents understanding operators understanding terms in algebra understanding expressions in algebraRearranging an Equation
rearranging an equation algebra with addition algebra with subtraction algebra with multiplication algebra with divisionLaws of Exponents in Algebra
understanding the laws of exponents understanding an exponent of −1 multiplying powers dividing powers finding a power of a power finding a power of a product finding a negative exponentLike Terms
understanding like terms identifying like terms adding like terms subtracting like terms collecting like termsExpanding Brackets
expanding brackets expanding brackets using the grid method expanding double brackets understanding the FOIL methods multiplying expressions in algebra expanding double brackets using the grid methodSolving Equations with Brackets
solving an equation with brackets solving an equation with two sets of bracketsfamous mathematicians
The Magnificent Seven
Al-Khwarizmi Archimedes Rene Descartes Pythagoras Isaac Newton Euclid Fibonaccilinear equations curriculum
Equations and Linear Equations
understanding linear equationsLines, Slopes and Y-Intercepts
understanding linear equations in slope-intercept form understanding slope finding the slope of a line finding the slope from a linear equation understanding the y-intercept finding the y-intercept of a line finding the y-intercept from a linear equation finding the equation of a lineSlope-Point Form
understanding linear equations in slope-point form finding the slope from a linear equation in slope-point form finding the y-intercept from a linear equation in slope-point formGeneral Form
understanding linear equations in general form finding the slope from a linear equation in general form finding the y-intercept from a linear equation in general form converting a linear equation from general to slope-intercept formEquation of a Line Between Two Points
finding the equation of a line between two pointsquadratic equations curriculum
Quadratic Equations
understanding quadratic equationsSolving Quadratic Equations
solving quadratic equations solving quadratic equations using factoring solving quadratic equations using factoring (a ≠ 1) solving quadratic equations using the quadratic formula solving quadratic equations using a graphDifference of Squares
understanding a difference of squares solving quadratic equations using a difference of squaresCompleting the Square
understanding perfect square trinomials understanding completing the square completing the squaresimultaneous equations curriculum
functions curriculum
fractions curriculum
Types of Fractions
understanding proper fractions understanding improper fractions understanding mixed fractions converting mixed to improper fractions converting improper to mixed fractionsEquivalent Fractions and Simplifying Fractions
understanding equivalent fractions and simplest form simplifying fractionspercentages curriculum
geometry curriculum
here is an interactive widget to find the areas of plane shapes.
here is an interactive widget to find the volumes of 3D shapes.
here is an interactive widget to learn about circle geometry.
here is an interactive widget to learn about triangle geometry.
the different types of triangle
the 3 main types of angle
here is an interactive widget to learn about parallelogram geometry.
here is an interactive widget to learn about trapezoid geometry.
here is an interactive widget to learn about rectangle geometry.
here is an interactive widget to learn about square geometry.
here is an interactive widget to learn about ellipse geometry.
Plane Shapes
understanding circles understanding ellipses understanding parallelograms understanding rectangles understanding squares understanding trapezoids understanding trianglesAreas
finding the area of a circle finding the area of an ellipse finding the area of a parallelogram finding the area of a rectangle finding the area of a square finding the area of a trapezoid finding the area of a triangleVolumes
finding the volume of a cone finding the volume of a cube finding the volume of a cylinder finding the volume of a sphereCircles
understanding the radius understanding the diameter understanding the circumference understanding pi finding the length of an arc (degrees) finding the length of an arc (radians) finding the area of a sector (degrees) finding the area of a sector (radians)Radius of a Circle
finding the radius from the diameter finding the radius from the circumference finding the radius from the areaDiameter of a Circle
finding the diameter from the radius finding the diameter from the circumference finding the diameter from the areaCircumference of a Circle
Understanding the circumference of a circle finding the circumference of a circle using radiusArea of a Circle
finding the area of a circle using diameterCircle Theorems
understanding the circle theorems tangent meets a radius at 90° two radii make an isosceles triangle perpendicular bisector of a chord angle at the center is twice the angle at the circumference angle in a semicircle is 90° angles in the same segment are equal angles in a cyclic quadrilateral tangents from the same point are the same length alternate segment theoremTriangles
understanding the types of triangles understanding equilateral triangles understanding isosceles triangles understanding scalene triangles understanding the interior angles of a triangle finding a missing angle in a triangle finding a missing angle in an isosceles triangleAngles
understanding angles understanding degrees understanding the types of angles understanding acute angles understanding right angles understanding obtuse angles understanding straight angles understanding reflex angles understanding full angles understanding radiansAngle Properties
understanding complementary angles understanding supplementary angles understanding explementary anglesPolygons
understanding polygons understanding the interior angles of a polygon finding the interior angle of a regular polygon finding the sum of the interior angles of a polygon understanding the exterior angles of a polygon finding the exterior angle of a regular polygon understanding the sum of an interior and exterior angle of a polygon is 180°trigonometry curriculum
Right Triangle
understanding right triangle understanding the adjacent understanding the opposite understanding the hypotenusePythagoras' Theorem
understanding Pythagoras' theorem finding the hypotenuse using Pythagoras' theorem finding a shorter side using Pythagoras' theoremSine Function
understanding the sine function finding the angle using the sine function finding the opposite using the sine function finding the hypotenuse using the sine functionCosine Function
understanding the cosine function finding the angle using the cosine function finding the adjacent using the cosine function finding the hypotenuse using the cosine functionTangent Function
understanding the tangent function finding the angle using the tangent function finding the opposite using the adjacent function finding the adjacent using the tangent functionArea of a Triangle Using Trigonometry
finding the area of a triangle using trigonometrytransformations curriculum
Transformations
understanding transformationsRotations
understanding rotations understanding the common rotations rotating a shape describing a rotationgraphs and coordinates curriculum
Graphs
understanding the parts of a graph understanding the x-axis understanding the y-axis understanding the originCartesian Coordinates
understanding Cartesian coordinates understanding the x-coordinate understanding the y-coordinate drawing a point from Cartesian coordinates reading off a point from Cartesian coordinatesPolar Coordinates
understanding polar coordinates understanding the radial coordinate understanding the angular coordinate drawing a point from Cartesian coordinates reading off a point from polar coordinates converting from Cartesian to polar coordinates converting from polar to Cartesian coordinatesCoordinate Geometry of Points and Lines
finding the distance between points finding the slope between points finding the midpoint between pointsTransformations in Coordinate Geometry
translating shapes reflecting shapes in the x-axis reflecting shapes in the y-axis reflecting shapes in the line y = x reflecting shapes in the line y = −xnumbers curriculum
Types of Numbers
understanding the types of numbers understanding natural numbers understanding whole numbers understanding integers rounding numbersPositive and Negative Numbers
understanding positive numbers understanding negative numbers arithmetic with negative numbers understanding absolute valueEven and Odd Numbers
understanding even numbers understanding odd numbers arithmetic with even and odd numbersarithmetic curriculum
Operations and Their Order
understanding operations understanding inverse operations understanding the order of operationsAdvanced Arithmetic
understanding place value understanding long addition understanding long subtraction understanding long multiplication understanding long multiplication with decimals understanding long division understanding long division with a remainder understanding long division with decimalsFactors
understanding factors finding factors understanding the greatest common factor finding the greatest common factorMultiples
understanding multiples understanding the least common multiple finding the least common multipleprobability curriculum
statistics curriculum
Data
understanding data understanding the types of data understanding quantitative data understanding discrete data understanding continuous data understanding qualitative dataAverages
understanding averages understanding the mean finding the mean understanding the median finding the median understanding the mode finding the modeMeasures of Spread
understanding the range finding the range understanding the quartile understanding the lower quartile understanding the upper quartile finding the quartiles understanding the interquartile range finding the interquartile rangeFrequency Tables
understanding frequency tables making a frequency table finding the mean from a frequency table finding the median from a frequency table finding the mode from a frequency table finding the range from a frequency tableCumulative Frequency Tables
understanding cumulative frequency tables making a cumulative frequency tableGrouped Frequency Tables
understanding grouped frequency tables making a grouped frequency table finding the mean from a grouped frequency table finding the median group from a grouped frequency table finding the mode group from a grouped frequency tableCumulative Grouped Frequency Tables
understanding cumulative grouped frequency tables making a cumulative grouped frequency tablenotation curriculum
games, tests, and widgets
Numbers
odd numbers (whack a mole) square numbers (whack a mole) prime numbers (whack a mole) composite numbers test (bubble pop) even numbers (bubble pop) odd numbers bubble pop) prime numbers (bubble pop) square numbers (bubble pop) basics multiplication times-tables gridFractions
improper fractions (bubble pop) mixed fractions (bubble pop) proper fractions (bubble pop) types of fractions convert fractions decimals (memory game)Shape Geometry
types of triangles (bucket drop) find the areas of 2D shapes find the volumes of 3D shapes circle geometry rectangle geometry square geometry trapezoid geometry triangle geometry ellipse geometry parallelogram geometryTrigonometry
sine function tangent function cosine function types of angles (bucket drop) Pythagoras theoremUse #MM
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