Algebra I

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Numbers

  1. Compare and order rational numbers
  2. Absolute value and opposites
  3. Number lines
  4. Convert between decimals and fractions
  5. Convert between repeating decimals and fractions
  6. Square roots
  7. Cube roots
  8. Sort rational and irrational numbers
  9. Classify rational and irrational numbers
  10. Properties of operations on rational and irrational numbers
  11. Classify numbers
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Relations and functions: Section A

  1. Relations: convert between tables, graphs, mappings, and lists of points
  2. Domain and range of relations
  3. Identify independent and dependent variables
  4. Identify functions
  5. Identify functions: vertical line test
  6. Find values using function graphs
  7. Evaluate a function
  8. Evaluate a function: plug in an expression
  9. Add and subtract functions
  10. Multiply functions
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Operations

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

  1. Find the inverse of a function
  2. Complete a function table from a graph
  3. Complete a function table from an equation
  4. Find solutions using a table
  5. Approximate solutions using a table
  6. Interpret the graph of a function: word problems
  7. Interpret functions using everyday language
  8. Rate of change: tables
  9. Rate of change: graphs
  10. •New! Evaluate piecewise-defined functions
  11. •New! Graph piecewise-defined functions
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Ratios, rates, and proportions

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

  1. Identify proportional relationships 
  2. Find the constant of variation 
  3. Graph a proportional relationship 
  4. Write direct variation equations 
  5. Write and solve direct variation equations 
  6. Identify direct variation and inverse variation 
  7. Write inverse variation equations 
  8. Write and solve inverse variation equations
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Percents

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

  1. Identify linear functions from graphs and equations
  2. Identify linear functions from tables
  3. Find the slope of a graph
  4. Find the slope from two points
  5. Find a missing coordinate using slope
  6. Slope-intercept form: find the slope and y-intercept
  7. Slope-intercept form: graph an equation
  8. Slope-intercept form: write an equation from a graph
  9. Slope-intercept form: write an equation
  10. Slope-intercept form: write an equation from a table
  11. Slope-intercept form: write an equation from a word problem
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Measurement

  1. Convert rates and measurements: customary units
  2. Convert rates and measurements: metric units
  3. Unit prices with unit conversions
  4. Multi-step problems with unit conversions
  5. Precision
  6. Greatest possible error
  7. Minimum and maximum area and volume
  8. Percent error
  9. Percent error: area and volume
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Linear functions B

  1. Linear equations: solve for y
  2. Write linear functions: word problems
  3. Complete a table and graph a linear function
  4. Compare linear functions: graphs and equations
  5. Compare linear functions: tables, graphs, and equations
  6. Write equations in standard form
  7. Standard form: find x- and y-intercepts
  8. Standard form: graph an equation
  9. Equations of horizontal and vertical lines
  10. Graph a horizontal or vertical line
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Variable expressions and equations

  1. Write variable expressions
  2. Sort factors of variable expressions
  3. Simplify variable expressions involving like terms and the distributive property
  4. Identify equivalent linear expressions
  5. Write variable equations
  6. Does x satisfy the equation?
  7. Which x satisfies an equation?
  8. Solve equations using order of operations
  9. Does (x, y) satisfy the equation?
  10. Relate the graph of an equation to its solutions
  11. Rearrange multi-variable equations
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Linear functions C

  1. Point-slope form: graph an equation
  2. Point-slope form: write an equation
  3. Point-slope form: write an equation from a graph
  4. New! Find the slope and intercepts from an equation
  5. Slopes of parallel and perpendicular lines
  6. Write an equation for a parallel or perpendicular line
  7. Transformations of linear functions
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Systems of linear equations A

  1. Is (x, y) a solution to the system of equations?
  2. Solve a system of equations by graphing
  3. Solve a system of equations by graphing: word problems
  4. Find the number of solutions to a system of equations by graphing
  5. Find the number of solutions to a system of equations
  6. Classify a system of equations by graphing
  7. Classify a system of equations
  8. Solve a system of equations using substitution
  9. Solve a system of equations using substitution: word problems
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Single-variable inequalities

  1. Graph and write inequalities
  2. Identify solutions to inequalities
  3. Solve one-step linear inequalities: addition and subtraction
  4. Solve one-step linear inequalities: multiplication and division
  5. Solve and graph solutions to one-step linear inequalities
  6. Solve and graph two-step linear inequalities
  7. Solve advanced linear inequalities
  8. Graph solutions to advanced linear inequalities
  9. Graph compound inequalities
  10. Write compound inequalities from graphs
  11. Solve compound inequalities
  12. Graph solutions to compound inequalities
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Systems of linear equations B

  1. Solve a system of equations using elimination
  2. Solve a system of equations using elimination: word problems
  3. Solve a system of equations using augmented matrices
  4. Solve a system of equations using augmented matrices: word problems
  5. Solve a system of equations using any method
  6. Solve a system of equations using any method: word problems
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Linear inequalities

  1. Does (x, y) satisfy the inequality
  2. Linear inequalities: solve for y
  3. Graph a two-variable linear inequality
  4. New! Write a linear inequality from a graph
  5. Linear inequalities: word problems
  6. Is (x, y) a solution to the system of inequalities?
  7. Solve systems of linear inequalities by graphing
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Absolute value equations and inequalities

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

  1. Exponents with integer bases
  2. Exponents with decimal and fractional bases
  3. Negative exponents
  4. Product Rule
  5. Quotient Rule
  6. Multiplication and division with exponents
  7. Power rule
  8. Evaluate expressions using exponents
  9. Identify equivalent expressions involving exponents 
  10. Evaluate integers raised to positive rational exponents
  11. Evaluate integers raised to rational exponents
  12. Multiplication with rational exponents
  13. Division with rational exponents
  14. Power rule with rational exponents
  15. Simplify expressions involving exponents
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Data and graphs

  1. Interpret line plots
  2. Create line plots
  3. Interpret histograms
  4. Create histograms
  5. Interpret bar graphs, line graphs, and histograms
  6. Create bar graphs, line graphs, and histograms
  7. Interpret circle graphs
  8. Interpret stem-and-leaf plots
  9. Box plots
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Scientific notation

  1. Convert between standard and scientific notation
  2. Compare numbers written in scientific notation
  3. Add and subtract numbers written in scientific notation
  4. Multiply numbers written in scientific notation
  5. Divide numbers written in scientific notation
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Problem solving

  1. Word problems: mixed review
  2. Word problems with money
  3. Consecutive integer problems
  4. Rate of travel: word problems
  5. Weighted averages: word problems
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Exponential functions

  1. Evaluate an exponential function
  2. New! Graph exponential functions
  3. Match exponential functions and graphs
  4. Domain and range of exponential functions: graphs
  5. Domain and range of exponential functions: equations
  6. Exponential growth and decay: word problems
  7. Compound interest: word problems
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Number sequences

  1. Identify arithmetic and geometric sequences
  2. Arithmetic sequences
  3. Geometric sequences
  4. Evaluate variable expressions for number sequences
  5. Evaluate recursive formulas for sequences
  6. Identify a sequence as explicit or recursive
  7. Write variable expressions for arithmetic sequences
  8. Write variable expressions for geometric sequences
  9. Write a formula for a recursive sequence
  10. Convert a recursive formula to an explicit formula
  11. Convert an explicit formula to a recursive formula
  12. Number sequences: mixed review
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Monomials

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

Polynomials

  1. Polynomial vocabulary
  2. Model polynomials with algebra tiles
  3. Add and subtract polynomials using algebra tiles
  4. Add and subtract polynomials
  5. Add polynomials to find perimeter
  6. Multiply a polynomial by a monomial
  7. Multiply two binomials using algebra tiles
  8. Multiply two binomials
  9. Multiply two binomials: special cases
  10. Multiply polynomials
  11. Multiply polynomials to find area
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