Math Master to the rescue! Resources: Algebraic Reasoning, Graphing, Geometric Connections

Graphing

Cartesian Plane

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The graph of a function with the form of a line whose slope is M on the axes (x,y) Cartesian coordinates are the points (x.y) on a cartesian plane

Slope

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The slope is the change in distance in x coordinates and y coordinates on a given linePoint-slope formula: For an equation of a line P (x1,y1) and slope M, then y-y1=m(x-x1)Slope intercept from: y=mx+b, where m=slope and b=y intercept

Quadratics

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A polynomial of degree 2

Polynomials

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A polynomial is any function in which fixed positive real numbers is raised to a variable power

Algebra

Function

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A function, in a set, is a rule that associates with each element XED precisely one value y

Expression

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An algebraic expression is a representation that involves variables, numbers and operation symbols

Equation

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An equation is a mathematical expression that shows two expressions to have the same value or be equal

Solution

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A solution set is a set of all values in domain of variables that satisfy the given equation

Geometry

Lines

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Parallel lines are lines L and M, which lie in a cartesian plane, if they have no points in common or they are equal Perpendicular lines are lines L1 and L2 if they intersect at 90 degrees-condition for perpendicularity when M1 and M2 slopes are negative reciprocals

Triangles

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Altitude of a triangle is the line through the vertex of a triangle that is perpendicular to the line containing the opposite side of the triangle

Circle

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A circle is a set of all points in the plane that are at a fixed distance from their center-Center: The given point on a circle-Radius: Fixed distance from center to any point on the circle

Rigid Motions

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The use of rigid motions to solve geometric problem is based on moving a figure to another position without changing it's geometric properties but in which the solution becomes easier to see