Quadratic equations: Complete the square

Numbers

• Classify numbers
• Compare and order rational numbers
• Absolute value and opposites
• Number lines
• Convert between decimals and fractions
• Square roots
• Cube roots

Operations

• Add, subtract, multiply, and divide integers
• Order of operations with integers
• Evaluate variable expressions involving integers
• Add and subtract rational numbers
• Multiply and divide rational numbers
• Order of operations with rational numbers
• Evaluate variable expressions involving rational numbers

Ratios and proportions

• Identify equivalent ratios
• Equivalent ratios: fill in the missing number
• Unit rates
• Unit prices
• Solve proportions
• Solve proportions: word problems
• Scale drawings and scale factors

Percents

• Convert between percents, fractions, and decimals
• Solve percent equations
• Percent word problems
• Percent of change
• Percent of change: word problems
• Percent of a number: tax, discount, and more
• Find the percent: tax, discount, and more
• Multi-step problems with percents

Measurement

• Convert rates and measurements: customary units
• Convert rates and measurements: metric units
• Unit prices with unit conversions
• Precision
• Greatest possible error
• Minimum and maximum area and volume
• Percent error
• Percent error: area and volume

Geometry

• Perimeter
• Area
• Volume
• Surface area
• Similar figures: side lengths and angle measures
• Similar triangles and indirect measurement
• Dilations and scale factors
• Area and perimeter of similar figures
• Similar solids
• Volume and surface area of similar solids
• Perimeter, area, and volume: changes in scale
• Pythagorean theorem
• Pythagorean theorem: word problems
• Converse of the Pythagorean theorem: is it a right triangle?
• Special right triangles

Coordinate graphs

• Coordinate graph review
• Midpoints
• Distance between two points

Properties

• Properties of addition and multiplication
• Distributive property
• Simplify variable expressions using properties
• Properties of equality

Variable expressions and equations

• Write variable expressions
• Simplify variable expressions involving like terms and the distributive property
• Write variable equations
• Does x satisfy the equation?
• Find solutions from a replacement set
• Solve equations using order of operations

Solve equations

• Model and solve equations using algebra tiles
• Write and solve equations that represent diagrams
• Solve one-step linear equations
• Solve two-step linear equations
• Solve advanced linear equations
• Solve equations with variables on both sides
• Identities and equations with no solutions
• Solve linear equations: word problems
• Solve linear equations: mixed review

Single-variable inequalities

• Graph inequalities
• Write inequalities from graphs
• Identify solutions to inequalities
• Solve one-step linear inequalities: addition and subtraction
• Solve one-step linear inequalities: multiplication and division
• Solve one-step linear inequalities
• Graph solutions to one-step linear inequalities
• Solve two-step linear inequalities
• Graph solutions to two-step linear inequalities
• Solve advanced linear inequalities
• Graph solutions to advanced linear inequalities
• Graph compound inequalities
• Write compound inequalities from graphs
• Solve compound inequalities
• Graph solutions to compound inequalities

Absolute value equations and inequalities

• Solve absolute value equations
• Graph solutions to absolute value equations
• Solve absolute value inequalities
• Graph solutions to absolute value inequalities

Matrices

• Matrix vocabulary
• Matrix operation rules
• Add and subtract matrices
• Multiply a matrix by a scalar
• Multiply two matrices

Charts and graphs

• Interpret bar graphs, line graphs, and histograms
• Create bar graphs, line graphs, and histograms
• Circle graphs
• Interpret stem-and-leaf plots
• Interpret box-and-whisker plots
• Interpret a scatter plot
• Scatter plots: line of best fit

Problem solving

• Word problems: mixed review
• Word problems with money
• Consecutive integer problems
• Rate of travel: word problems
• Weighted averages: word problems

Number sequences

• Identify arithmetic and geometric sequences
• Arithmetic sequences
• Geometric sequences
• Evaluate variable expressions for number sequences
• Write variable expressions for arithmetic sequences
• Write variable expressions for geometric sequences
• Number sequences: mixed review

Relations and functions

• Relations: convert between tables, graphs, mappings, and lists of points
• Domain and range of relations
• Identify independent and dependent variables
• Identify functions
• Identify functions: vertical line test
• Complete a function table
• Evaluate function rules I
• Evaluate function rules II
• Graph a function
• Write a function rule: word problems
• Find points on a function graph
• Write a rule for a function table

Direct and inverse variation

• Identify proportional relationships
• Find the constant of variation
• Graph a proportional relationship
• Write direct variation equations
• Write and solve direct variation equations
• Identify direct variation and inverse variation
• Write inverse variation equations
• Write and solve inverse variation equations

Linear functions

• Identify linear functions
• Find the slope of a graph
• Find slope from two points
• Slope-intercept form: find slope and y-intercept
• Slope-intercept form: graph an equation
• Slope-intercept form: write an equation from a graph
• Slope-intercept form: write an equation
• Linear function word problems
• Write equations in standard form
• Standard form: find x- and y-intercepts
• Standard form: graph an equation
• Equations of horizontal and vertical lines
• Graph a horizontal or vertical line
• Point-slope form: graph an equation
• Point-slope form: write an equation from a graph
• Point-slope form: write an equation
• Slopes of parallel and perpendicular lines
• Write an equation for a parallel or perpendicular line

Linear inequalities

• Does (x, y) satisfy the inequality?
• Linear inequalities: solve for y
• Graph a linear inequality in two variables
• Linear inequalities: word problems
• Is (x, y) a solution to the system of inequalities?

Systems of linear equations

• Is (x, y) a solution to the system of equations?
• Solve a system of equations by graphing
• Solve a system of equations by graphing: word problems
• Find the number of solutions to a system of equations by graphing
• Find the number of solutions to a system of equations
• Classify a system of equations by graphing
• Classify a system of equations
• Solve a system of equations using substitution
• Solve a system of equations using substitution: word problems
• Solve a system of equations using elimination
• Solve a system of equations using elimination: word problems
• Solve a system of equations using augmented matrices
• Solve a system of equations using augmented matrices: word problems
• Solve a system of equations using any method
• Solve a system of equations using any method: word problems

Exponents

• Exponents with integer bases
• Exponents with decimal and fractional bases
• Negative exponents
• Multiplication with exponents
• Division with exponents
• Multiplication and division with exponents
• Power rule
• Simplify expressions involving exponents

Scientific notation

• Convert between standard and scientific notation
• Compare numbers written in scientific notation
• Multiply numbers written in scientific notation
• Divide numbers written in scientific notation

Exponential functions

• Evaluate an exponential function
• Match exponential functions and graphs
• Exponential growth and decay: word problems

Monomials

• Identify monomials
• Multiply monomials
• Divide monomials
• Multiply and divide monomials
• Powers of monomials

Polynomials

• Polynomial vocabulary
• Model polynomials with algebra tiles
• Add and subtract polynomials using algebra tiles
• Add and subtract polynomials
• Add polynomials to find perimeter
• Multiply a polynomial by a monomial
• Multiply two polynomials using algebra tiles
• Multiply two binomials
• Multiply two binomials: special cases
• Multiply polynomials

Factoring

• GCF of monomials
• Factor out a monomial
• Factor quadratics with leading coefficient 1
• Factor quadratics with other leading coefficients
• Factor quadratics: special cases
• Factor by grouping
• Factor polynomials

Quadratic equations

• Characteristics of quadratic functions
• Solve a quadratic equation using square roots
• Solve an equation using the zero product property
• Solve a quadratic equation by factoring
• Complete the square
• Solve a quadratic equation by completing the square
• Solve a quadratic equation using the quadratic formula
• Using the discriminant

Functions: linear, quadratic, exponential

• Identify linear, quadratic, and exponential functions from graphs
• Identify linear, quadratic, and exponential functions from tables
• Write linear, quadratic, and exponential functions

Absolute value functions

• Complete a function table: absolute value functions
• Domain and range of absolute value functions
• Graph an absolute value function

Radical expressions

• Simplify radical expressions
• Simplify radical expressions by rationalizing the denominator
• Multiply radical expressions
• Add and subtract radical expressions
• Simplify radical expressions using the distributive property
• Simplify radical expressions: mixed review

Radical functions and equations

• Evaluate a radical function
• Domain and range of radical functions
• Solve radical equations I
• Solve radical equations II

Rational functions and expressions

• Rational functions: asymptotes and excluded values
• Simplify complex fractions
• Simplify rational expressions
• Multiply and divide rational expressions
• Divide polynomials
• Add and subtract rational expressions
• Solve rational equations

Logic

• Identify hypotheses and conclusions
• Counterexamples

Probability

• Theoretical probability
• Experimental probability
• Compound events: find the number of outcomes
• Identify independent and dependent events
• Probability of independent and dependent events
• Permutations
• Combinations
• Permutation and combination notation

Statistics

• Mean, median, mode, and range
• Quartiles
• Identifying biased samples
• Mean absolute deviation
• Variance and standard deviation