Here is a list of all of the skills students learn in Algebra 1!

Numbers

• A.1Compare and order rational numbers
• A.2Absolute value and opposites
• A.3Number lines
• A.4Convert between decimals and fractions
• A.5Convert between repeating decimals and fractions
• A.6Square roots
• A.7Cube roots
• A.8Classify numbers

Operations

• B.1Add, subtract, multiply, and divide integers
• B.2Evaluate numerical expressions involving integers
• B.3Evaluate variable expressions involving integers
• B.4Add and subtract rational numbers
• B.5Multiply and divide rational numbers
• B.6Evaluate numerical expressions involving rational numbers
• B.7Evaluate variable expressions involving rational numbers

Ratios, rates, and proportions

• C.1Identify equivalent ratios
• C.2Write an equivalent ratio
• C.3Unit rates
• C.4Unit prices
• C.5Solve proportions
• C.6Solve proportions: word problems
• C.7Scale drawings: word problems

Percents

• D.1Convert between percents, fractions, and decimals
• D.2Solve percent equations
• D.3Percent word problems
• D.4Percent of change
• D.5Percent of change: word problems
• D.6Percent of a number: tax, discount, and more
• D.7Find the percent: tax, discount, and more
• D.8Multi-step problems with percents

Measurement

• E.1Convert rates and measurements: customary units
• E.2Convert rates and measurements: metric units
• E.3Unit prices with unit conversions
• E.4Precision
• E.5Greatest possible error
• E.6Minimum and maximum area and volume
• E.7Percent error
• E.8Percent error: area and volume

Geometry

• F.1Perimeter
• F.2Area
• F.3Area and perimeter: word problems
• F.4Volume
• F.5Surface area
• F.6Similar figures: side lengths and angle measures
• F.7Similar triangles and indirect measurement
• F.8Dilations and scale factors
• F.9Area and perimeter of similar figures
• F.10Area between two shapes
• F.11Similar solids
• F.12Volume and surface area of similar solids
• F.13Perimeter, area, and volume: changes in scale
• F.14Pythagorean theorem
• F.15Pythagorean theorem: word problems
• F.16Converse of the Pythagorean theorem: is it a right triangle?
• F.17Special right triangles

Coordinate plane

• G.1Coordinate plane review
• G.2Midpoints
• G.3Distance between two points

Properties

• H.1Properties of addition and multiplication
• H.2Distributive property
• H.3Simplify variable expressions using properties
• H.4Properties of equality

Variable expressions and equations

• I.1Write variable expressions
• I.2Simplify variable expressions involving like terms and the distributive property
• I.3Identify equivalent linear expressions
• I.4Write variable equations
• I.5Does x satisfy the equation?
• I.6Which x satisfies an equation?
• I.7Solve equations using order of operations
• I.8Rearrange multi-variable 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.7Solve equations: complete the solution
• J.8Find the number of solutions
• J.9Create equations with no solutions or infinitely many solutions
• J.10Solve linear equations: word problems
• J.11Solve 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

• L.1Solve absolute value equations
• L.2Graph solutions to absolute value equations
• L.3Solve absolute value inequalities
• L.4Graph solutions to absolute value inequalities

Matrices

• M.1Matrix vocabulary
• M.2Matrix operation rules
• M.3Add and subtract matrices
• M.4Multiply a matrix by a scalar
• M.5Add and subtract scalar multiples of matrices
• M.6Multiply two matrices

Data and graphs

• N.1Interpret bar graphs, line graphs, and histograms
• N.2Create bar graphs, line graphs, and histograms
• N.3Circle graphs
• N.4Interpret stem-and-leaf plots
• N.5Interpret box-and-whisker plots
• Problem solving
• O.1Word problems: mixed review
• O.2Word problems with money
• O.3Consecutive integer problems
• O.4Rate of travel: word problems
• O.5Weighted averages: word problems

Number sequences

• P.1Identify arithmetic and geometric sequences
• P.2Arithmetic sequences
• P.3Geometric sequences
• P.4Evaluate variable expressions for number sequences
• P.5Write variable expressions for arithmetic sequences
• P.6Write variable expressions for geometric sequences
• P.7Number sequences: mixed review

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.6Find values using function graphs
• Q.7Evaluate a function
• Q.8Evaluate a function: plug in an expression
• Q.9Complete a function table from a graph
• Q.10Complete a function table from an equation
• Q.11Interpret the graph of a function: word problems

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 the slope from two points
• S.4Find a missing coordinate using slope
• S.5Slope-intercept form: find the slope and y-intercept
• S.6Slope-intercept form: graph an equation
• S.7Slope-intercept form: write an equation from a graph
• S.8Slope-intercept form: write an equation
• S.9Slope-intercept form: write an equation from a table
• S.10Slope-intercept form: write an equation from a word problem
• S.11Linear equations: solve for y
• S.12Write linear functions to solve word problems
• S.13Complete a table and graph a linear function
• S.14Compare linear functions: graphs, tables, and equations
• S.15Write equations in standard form
• S.16Standard form: find x- and y-intercepts
• S.17Standard form: graph an equation
• S.18Equations of horizontal and vertical lines
• S.19Graph a horizontal or vertical line
• S.20Point-slope form: graph an equation
• S.21Point-slope form: write an equation
• S.22Point-slope form: write an equation from a graph
• S.23Slopes of parallel and perpendicular lines
• S.24Write an equation for a parallel or perpendicular line
• S.25Transformations of linear functions

Linear inequalities

• T.1Does (x, y) satisfy the inequality?
• T.2Linear inequalities: solve for y
• T.3Graph a two-variable linear inequality
• T.4Linear inequalities: word problems
• T.5Is (x, y) a solution to the system of inequalities?
• T.6Solve systems of linear inequalities by graphing

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

• V.1Exponents with integer bases
• V.2Exponents with decimal and fractional bases
• V.3Negative exponents
• V.4Multiplication with exponents
• V.5Division with exponents
• V.6Multiplication and division with exponents
• V.7Power rule
• V.8Evaluate expressions using properties of exponents
• V.9Identify equivalent expressions involving exponents
• V.10Evaluate integers raised to rational exponents
• Scientific notation
• W.1Convert between standard and scientific notation
• W.2Compare numbers written in scientific notation
• W.3Multiply numbers written in scientific notation
• W.4Divide numbers written in scientific notation
• Exponential functions
• X.1Evaluate an exponential function
• X.2Match exponential functions and graphs
• X.3Domain and range of exponential functions: graphs
• X.4Domain and range of exponential functions: equations
• X.5Exponential growth and decay: word problems

Monomials

• Y.1Identify monomials
• Y.2Multiply monomials
• Y.3Divide monomials
• Y.4Multiply and divide monomials
• Y.5Powers of 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

• AA.1GCF of monomials
• AA.2Factor out a monomial
• AA.3Factor quadratics using algebra tiles
• AA.4Factor quadratics with leading coefficient 1
• AA.5Factor quadratics with other leading coefficients
• AA.6Factor quadratics: special cases
• AA.7Factor by grouping
• AA.8Factor polynomials

Quadratic equations

• BB.1Characteristics of quadratic functions
• BB.2Complete a function table: quadratic functions
• BB.3Transformations of quadratic functions
• BB.4Graph quadratic functions in vertex form
• BB.5Solve a quadratic equation using square roots
• BB.6Solve a quadratic equation using the zero product property
• BB.7Solve a quadratic equation by factoring
• BB.8Complete the square
• BB.9Solve a quadratic equation by completing the square
• BB.10Solve a quadratic equation using the quadratic formula
• BB.11Using the discriminant
• BB.12Match quadratic functions and graphs
• BB.13Systems of linear and quadratic equations

Functions: linear, quadratic, exponential

• CC.1Identify linear, quadratic, and exponential functions from graphs
• CC.2Identify linear, quadratic, and exponential functions from tables
• CC.3Write linear, quadratic, and exponential functions
• CC.4Linear functions over unit intervals
• CC.5Exponential functions over unit intervals
• CC.6Describe linear and exponential growth and decay

Absolute value functions

• DD.1Complete a function table: absolute value functions
• DD.2Graph an absolute value function
• DD.3Domain and range of absolute value functions: graphs
• DD.4Domain and range of absolute value functions: equations
• DD.5Transformations of absolute value functions

Radical expressions

• EE.1Simplify radical expressions
• EE.2Simplify radical expressions involving fractions
• EE.3Multiply radical expressions
• EE.4Add and subtract radical expressions
• EE.5Simplify radical expressions using the distributive property
• EE.6Divide radical expressions
• EE.7Simplify radical expressions: mixed review

Radical functions and equations

• FF.1Evaluate a radical function
• FF.2Domain and range of radical functions: graphs
• FF.3Domain and range of radical functions: equations
• FF.4Solve radical equations I
• FF.5Solve radical equations II

Rational functions and expressions

• GG.1Rational functions: asymptotes and excluded values
• GG.2Simplify complex fractions
• GG.3Simplify rational expressions
• GG.4Multiply and divide rational expressions
• GG.5Divide polynomials
• GG.6Add and subtract rational expressions
• GG.7Solve rational equations
• GG.8Evaluate rational expressions

Trigonometry

• HH.1Trigonometric ratios: sin, cos, and tan
• HH.2Find trigonometric ratios using a calculator
• HH.3Inverses of trigonometric functions
• HH.4Trigonometric ratios: find a side length
• HH.5Trigonometric ratios: find an angle measure
• HH.6Solve a right triangle

Logic

• II.1Identify hypotheses and conclusions
• II.2Counterexamples

Probability

• JJ.1Theoretical probability
• JJ.2Experimental probability
• JJ.3Compound events: find the number of outcomes
• JJ.4Identify independent and dependent events
• JJ.5Probability of independent and dependent events
• JJ.6Permutations
• JJ.7Counting principle
• JJ.8Permutation and combination notation

Statistics

• KK.1Identify biased samples
• KK.2Mean, median, mode, and range
• KK.3Quartiles
• KK.4Identify an outlier
• KK.5Identify an outlier and describe the effect of removing it
• KK.6Mean absolute deviation
• KK.7Variance and standard deviation
• KK.8Interpret a scatter plot
• KK.9Outliers in scatter plots
• KK.10Match correlation coefficients to scatter plots
• KK.11Calculate correlation coefficients
• KK.12Scatter plots: line of best fit
• KK.13Find the equation of a regression line
• KK.14Interpret regression lines
• KK.15Analyze a regression line of a data