Kategoriak: All - graphing - function - equation - algebra

arabera Rachael Hernandez 10 years ago

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Algebraic Reasoning, Graphing and Geometric Connections

Math Master provides a comprehensive guide to key mathematical concepts across algebra, geometry, and graphing. In algebra, it covers the definition and properties of functions, equations, and algebraic expressions, emphasizing how they form the basis of mathematical reasoning and problem-solving.

Algebraic Reasoning, Graphing and Geometric Connections

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

Geometry

Rigid Motions

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

Circle

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

Triangles

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

Lines

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

Algebra

Solution

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

Equation

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

Expression

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

Function

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

Graphing

Polynomials

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

Quadratics

A polynomial of degree 2

Slope

The slope is the change in distance in x coordinates and y coordinates on a given line

Point-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

Cartesian Plane

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