MANGAHIGH
Algebra
Simplifying algebra
Add and subtract terms with single variables
Add and subtract terms with multiple variables
Multiply terms
Distributive property, multiply by an integer
Distributive property, multiply by a variable
Distributive property, repeated application
Distributive property, repeated application with exponents
Product of two simple binomials
Product of any two binomials
Product of two polynomials
Algebraic fractions
Simplify algebraic fractions
Multiply and divide algebraic fractions
Multiply and divide algebraic fractions using factoring
Add and subtract algebraic fractions
Add and subtract algebraic fractions using factoring
Factoring
Factor using a common term
Factor using a common expression
Factor trinomials in form
x
^{2}
+
bx
+
c
Factor trinomials in form
ax
^{2}
+
bx
+
c
Factor
x
^{2}

b
using the difference of two squares
Factor
ax
^{2}

b
using the difference of two squares
Factor four terms into a product of two expressions
Forming algebra
Form an expression or formula
Form an equation
Form equations with exponents
Form more complicated equations
Equations, formulas, functions, expressions & identities
Use identities to solve problems
Substituting values
Substitute whole numbers into expressions
Substitute whole numbers into expressions with exponents
Substitute integers into expressions with exponents
Substitute any value into an expression
Derive results using algebraic substitution
Function tables
Solving linear equations
Introducing equations
Solve linear equations
Solve linear equations involving negatives
Solve linear equations involving parentheses
Solve linear equations with an unknown on both sides
Solve linear equations involving fractions and decimals
Solving quadratics (factoring)
Solve trinomials with 2 terms
Solve trinomials by factoring  coefficient of
x
^{2}
equals 1
Solve trinomials by factoring  coefficient of
x
^{2}
more than 1
Solve quadratics using the formula
Solve trinomials by using the quadratic formula
Completing the square
Completing the square
Completing the square  coefficient of
x
^{2}
more than 1
Use the completed square
Solve equations by rearranging
Solve equations by rearranging
Inequalities
Inequalities
Two inequality signs
Inequalities on a number line
Inequalities on graphs
Systems of equations
Solve systems of equations  straight line graphs
Solve systems of equations  elimination method
Solve systems of equations  substitution method
Solve systems of equations  curved graphs
Forming systems of equations
Rearranging forumulas
Literal equations
Literal equations with exponents
Literal equations where the subject appears more than once
Trial and error
Approximation using a calculator
Coordinates
Coordinates
Coordinates in 4 quadrants
Midpoints
Straight line graphs
Recognize common straight line graphs
Draw straight line graphs
Draw straight line graphs using
y
=
mx
+
b
Draw straight lines using alternative linear formats
Test to see if a point is on a line
Find the slope of a line using its graph
Find the slope of a line from 2 points
Find the equation of a line from a graph
Find the equation of a line given the slope and a point
Use patterns in coordinates to find the equation of a line
Find the
x
and
y
intercepts of lines
Find the slope and
y
intercept from the equation of a line
Match together equations and lines
Equations of parallel lines
Equations of perpendicular lines
Real life straight line graphs
Curves
Recognize the equations of common curves
Drawing trinomials
Drawing curves
Test to see if a point is on a curve
Find the equation of a curve
Find the
x
and
y
intercepts of curves
Exponential graphs
Trigonometric graphs
Circle equations
Solving equations using graphs
Use graphs to solve equations
Use graphs to solve trigonometric equations
Graphical transformations
Translate graphs vertically
Translate graphs horizontally
Reflect graphs
Dilate graphs vertically
Dilate graphs horizontally
Sequences
The term to term rule
Find the
n
th term of a linear sequence
Find the
n
th term of a nonlinear sequence
Use
n
th term to generate linear sequences
Use
n
th term to generate sequences
Use the
n
th term to solve problems
Patterns and linear rules
Patterns and nonlinear rules
Sketch graphs
Represent filling containers using graphs
Proportionality equations
Direct proportion
Inverse proportion
Using algebra
Explain relationships between numbers
Use < > and =
Algebra and sequences
Recognize number patterns and relationships
Test a general statement using numbers