For IX Grade all about Algebra
Numbers
- A.1Classify numbers
- A.2Compare and order rational numbers
- A.3Absolute value and opposites
- A.4Number lines
- A.5Convert between decimals and fractions
- A.6Square roots
- A.7Cube roots
Operations
- B.1Add, subtract, multiply, and divide integers
- B.2Order of operations with integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Order of operations with rational numbers
- B.7Evaluate variable expressions involving rational numbers
Ratios and proportions
Percents
Measurement
Geometry
- F.1Perimeter
- F.2Area
- F.3Volume
- F.4Surface area
- F.5Similar figures: side lengths and angle measures
- F.6Similar triangles and indirect measurement
- F.7Dilations and scale factors
- F.8Area and perimeter of similar figures
- F.9Similar solids
- F.10Volume and surface area of similar solids
- F.11Perimeter, area, and volume: changes in scale
- F.12Pythagorean theorem
- F.13Pythagorean theorem: word problems
- F.14Converse of the Pythagorean theorem: is it a right triangle?
- F.15Special right triangles
Coordinate graphs
Properties
Variable expressions and equations
Solve equations
- J.1Model and solve equations using algebra tiles
- J.2Write and solve equations that represent diagrams
- J.3Solve one-step linear equations
- J.4Solve two-step linear equations
- J.5Solve advanced linear equations
- J.6Solve equations with variables on both sides
- J.7Identities and equations with no solutions
- J.8Solve linear equations: word problems
- J.9Solve linear equations: mixed review
Single-variable inequalities
- K.1Graph inequalities
- K.2Write inequalities from graphs
- K.3Identify solutions to inequalities
- K.4Solve one-step linear inequalities: addition and subtraction
- K.5Solve one-step linear inequalities: multiplication and division
- K.6Solve one-step linear inequalities
- K.7Graph solutions to one-step linear inequalities
- K.8Solve two-step linear inequalities
- K.9Graph solutions to two-step linear inequalities
- K.10Solve advanced linear inequalities
- K.11Graph solutions to advanced linear inequalities
- K.12Graph compound inequalities
- K.13Write compound inequalities from graphs
- K.14Solve compound inequalities
- K.15Graph solutions to compound inequalities
Absolute value equations and inequalities
Matrices
Charts and graphs
Problem solving
Number sequences
Relations and functions
- Q.1Relations: convert between tables, graphs, mappings, and lists of points
- Q.2Domain and range of relations
- Q.3Identify independent and dependent variables
- Q.4Identify functions
- Q.5Identify functions: vertical line test
- Q.6Complete a function table
- Q.7Evaluate function rules I
- Q.8Evaluate function rules II
- Q.9Graph a function
- Q.10Write a function rule: word problems
- Q.11Find points on a function graph
- Q.12Write a rule for a function table
Direct and inverse variation
- R.1Identify proportional relationships
- R.2Find the constant of variation
- R.3Graph a proportional relationship
- R.4Write direct variation equations
- R.5Write and solve direct variation equations
- R.6Identify direct variation and inverse variation
- R.7Write inverse variation equations
- R.8Write and solve inverse variation equations
Linear functions
- S.1Identify linear functions
- S.2Find the slope of a graph
- S.3Find slope from two points
- S.4Slope-intercept form: find slope and y-intercept
- S.5Slope-intercept form: graph an equation
- S.6Slope-intercept form: write an equation from a graph
- S.7Slope-intercept form: write an equation
- S.8Linear function word problems
- S.9Write equations in standard form
- S.10Standard form: find x- and y-intercepts
- S.11Standard form: graph an equation
- S.12Equations of horizontal and vertical lines
- S.13Graph a horizontal or vertical line
- S.14Point-slope form: graph an equation
- S.15Point-slope form: write an equation from a graph
- S.16Point-slope form: write an equation
- S.17Slopes of parallel and perpendicular lines
- S.18Write an equation for a parallel or perpendicular line
Linear inequalities
Systems of linear equations
- U.1Is (x, y) a solution to the system of equations?
- U.2Solve a system of equations by graphing
- U.3Solve a system of equations by graphing: word problems
- U.4Find the number of solutions to a system of equations by graphing
- U.5Find the number of solutions to a system of equations
- U.6Classify a system of equations by graphing
- U.7Classify a system of equations
- U.8Solve a system of equations using substitution
- U.9Solve a system of equations using substitution: word problems
- U.10Solve a system of equations using elimination
- U.11Solve a system of equations using elimination: word problems
- U.12Solve a system of equations using augmented matrices
- U.13Solve a system of equations using augmented matrices: word problems
- U.14Solve a system of equations using any method
- U.15Solve a system of equations using any method: word problems
Exponents
Scientific notation
Exponential functions
Monomials
Polynomials
- Z.1Polynomial vocabulary
- Z.2Model polynomials with algebra tiles
- Z.3Add and subtract polynomials using algebra tiles
- Z.4Add and subtract polynomials
- Z.5Add polynomials to find perimeter
- Z.6Multiply a polynomial by a monomial
- Z.7Multiply two polynomials using algebra tiles
- Z.8Multiply two binomials
- Z.9Multiply two binomials: special cases
- Z.10Multiply polynomials
Factoring
Quadratic equations
- BB.1Characteristics of quadratic functions
- BB.2Solve a quadratic equation using square roots
- BB.3Solve an equation using the zero product property
- BB.4Solve a quadratic equation by factoring
- BB.5Complete the square
- BB.6Solve a quadratic equation by completing the square
- BB.7Solve a quadratic equation using the quadratic formula
- BB.8Using the discriminant
