Resources

Resources

Algebra 1

Quadratic equations

Solve a quadratic equation by factoring Solve a quadratic equation using square roots Solve a quadratic equation using the zero product property Complete the square Solve a quadratic equation by completing the square

Using the discriminant Solve a system of linear and quadratic equations Solve quadratic equations: word problems Solve a quadratic equation using the quadratic formula

Data and graphs

Interpret stem-and-leaf plots

Geometry and measurement

Area and perimeter: word problems Greatest possible error

Percent error Precision

Problem solving with units

Scale drawings: word problems Convert rates and measurements: customary units Unit prices with unit conversions Multi-step problems with unit conversions

Rate of travel: word problems Weighted averages: word problems Checkpoint: Units and quantities Convert rates and measurements: metric units

Sets

Unions and intersections of sets Sets, subsets, and complements

Set-builder notation Interval notation

Two-variable linear inequalities

Linear inequalities: solve for y Does (x, y) satisfy the inequality?Write two-variable inequalities: word problems

Is (x, y) a solution to the system of linear inequalities?Modeling with linear inequalities

Radical functions and equations

Domain and range of square root functions: equations Solve radical equations II Domain and range of square root functions: equations

Solve radical equations I Domain and range of square root functions: equations

Systems of linear equations

Solve a system of equations using elimination Is (x, y) a solution to the system of equations?Find the number of solutions to a system of equations 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: word problems Solve a system of equations using any method Solve a system of equations using any method: word problems

Function operations

Find the inverse of a linear function Multiply functions

Add and subtract functions

Factor polynomials

GCF of monomials Factor out a monomial Factor quadratics with leading coefficient 1 Factor quadratics: special cases

Factor by grouping Factor using a quadratic pattern Factor polynomials Factor quadratics with other leading coefficients

Direct and inverse variation

Write direct variation equations Write and solve direct variation equations Identify direct variation and inverse variation

Write and solve inverse variation equations Write inverse variation equations

Integer exponents

Powers with integer bases Powers with decimal and fractional bases Negative exponents Multiplication rule for exponents Power rule for exponents Simplify exponential expressions using the multiplication rule Simplify exponential expressions using the multiplication and division rules

Simplify exponential expressions using the power rule Simplify exponential expressions using exponent rules Identify equivalent exponential expressions I Identify equivalent exponential expressions II Powers with integer bases Powers with integer bases Evaluate expressions using exponent rules

Polynomials

Add and subtract polynomials Multiply a polynomial by a monomial Multiply two binomials Multiply two binomials: special cases

Divide polynomials by monomials Polynomial vocabulary Multiply polynomials

Rational exponents

Evaluate integers raised to positive rational exponents Evaluate integers raised to rational exponents Division with rational exponents

Power rule with rational exponents Simplify expressions involving rational exponents Multiplication with rational exponents

Linear, quadratic, and exponential functions

Write linear and exponential functions: word problems Linear functions over unit intervals Describe linear and exponential growth and decay Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth

Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear and exponential growth Compare linear, exponential, and quadratic growth Exponential functions over unit intervals

Absolute value equations and inequalities

Solve absolute value inequalities

Solve absolute value equations

Radical expressions

Simplify radical expressions involving fractions Multiply radical expressions Simplify radical expressions Add and subtract radical expressions

Simplify radical expressions using the distributive property Simplify radical expressions using conjugates Simplify radical expressions with variables Simplify radical expressions: mixed review

Linear equations

Does (x, y) satisfy the linear equation?Slope-intercept form: find the slope and y-intercept Linear equations: solve for y Standard form: find x- and y-intercepts Slopes of parallel and perpendicular lines Find the slope and intercepts from an equation

Write an equation for a parallel or perpendicular line Equations of horizontal and vertical lines Write linear equations in standard form Point-slope form: write an equation Slope-intercept form: write an equation

Numbers and operations

Simplify complex fractions Square roots Add and subtract rational numbers Properties of operations on rational and irrational numbers Convert between decimals and fractions Evaluate numerical expressions involving integers

Evaluate numerical expressions involving rational numbers Multiply and divide rational numbers Add, subtract, multiply, and divide integers Classify numbers Classify rational and irrational numbers

Probability

Theoretical probability Find probabilities using two-way frequency tables Outcomes of compound events Counting principle Permutations

Identify independent and dependent events Permutation and combination notation Probability of independent and dependent events Experimental probability

Function concepts

Identify functions Evaluate a function: plug in an expression Interpret functions using everyday language

Domain and range of relations Identify independent and dependent variables Evaluate a function

Function transformations

Function transformation rules Transformations of functions Describe function transformations

Reflections of functions Dilations of functions

Single-variable statistics

Identify an outlier Variance and standard deviation Mean, median, mode, and range

Calculate quartiles and interquartile range Identify biased samples Identify an outlier and describe the effect of removing it

Rational functions and expressions

Simplify rational expressions Simplify mixed rational expressions Add and subtract rational expressions

Rational functions: asymptotes and excluded values Multiply and divide rational expressions Solve rational equations

Sequences

Identify arithmetic and geometric sequences Arithmetic sequences Evaluate variable expressions for number sequences Evaluate recursive formulas for sequences Identify a sequence as explicit or recursive Sequences: mixed review Write variable expressions for arithmetic sequences Write variable expressions for geometric sequences

Convert an explicit formula to a recursive formula Convert a recursive formula to an explicit formula Write a formula for a recursive sequence Identify a sequence as explicit or recursive Geometric sequences Geometric sequences Identify a sequence as explicit or recursive

Exponential functions

Evaluate an exponential function Exponential growth and decay: word problems

Compound interest: word problems Write exponential functions: word problems

Quadratic functions

Transformations of quadratic functions Domain and range of quadratic functions: equations Write a quadratic function in vertex form

Interpret parts of quadratic expressions: word problems Write a quadratic function from its x-intercepts and another point Write a quadratic function from its vertex and another point

Absolute value functions

Transformations of absolute value functions: translations, reflections, and dilations Transformations of absolute value functions: translations and reflections

Domain and range of absolute value functions: equations

Matrices

Matrix vocabulary Properties of matrices

Multiply two matrices

Bivariate statistics

Interpret regression lines

Correlation and causation

Solve linear equations

Solve linear equations: mixed review Find the number of solutions to a linear equation Does x satisfy the equation?Solve multi-step linear equations Rearrange multi-variable equations Solve one-step linear equations Solve linear equations with variables on both sides Solve multi-step linear equations

Solve linear equations with variables on both sides: word problems Consecutive integer problems Write variable equations Create linear equations with no solutions or infinitely many solutions Properties of equality Solve one-step and two-step linear equations: word problems Identify equivalent equations Which x satisfies an equation?

Solve linear inequalities

Solve two-step linear inequalities Solve advanced linear inequalities Solve one-step linear inequalities Solve compound inequalities

Solve one-step linear inequalities: addition and subtraction Identify solutions to inequalities Solve one-step linear inequalities: multiplication and division

Expressions

Identify equivalent linear expressions Simplify variable expressions involving like terms and the distributive property Evaluate variable expressions involving rational numbers Simplify linear expressions using properties Evaluate variable expressions involving integers

Evaluate rational expressions Distributive property Write variable expressions Properties of addition and multiplication

Linear functions

Write a linear function: word problems Interpret the slope and y-intercept of a linear function

Transformations of linear functions

Scientific notation

Add and subtract numbers written in scientific notation Divide numbers written in scientific notation Multiply numbers written in scientific notation

Convert between standard and scientific notation Compare numbers written in scientific notation

Slope

Find a missing coordinate using slope

Find the slope from two points

Coordinate plane

Midpoint formula: find the midpoint

Distance between two points

Piecewise-defined functions

Evaluate piecewise-defined functions