#### 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