IXL Skill Plan | Oregon Mathematics Standards: Algebra

Oregon Mathematics Standards: Algebra

Skills available for Oregon Algebra standards

Section

Algebraic Reasoning: Expressions and Equations
Algebraic Reasoning: Functions
Numeric Reasoning: Number and Quantity

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HS.AEE	Algebraic Reasoning: Expressions and Equations
HS.AEE.A Use algebraic reasoning to rewrite expressions in equivalent forms.
HS.AEE.A.1 Interpret an expression which models a quantity by viewing one or more of its parts as a single entity. Reason about how changes in parts of the expression impact the whole, and vice versa.		1. Sort factors of variable expressions 2. Polynomial vocabulary 3. Interpret parts of quadratic expressions: word problems
HS.AEE.A.1 Interpret an expression which models a quantity by viewing one or more of its parts as a single entity. Reason about how changes in parts of the expression impact the whole, and vice versa.
1. Sort factors of variable expressions 2. Polynomial vocabulary 3. Interpret parts of quadratic expressions: word problems

HS.AEE.A.2 Create and recognize an equivalent form of an expression to understand the quantity represented in an authentic context.		Properties of operations 1. Distributive property 2. Simplify linear expressions using properties 3. Simplify variable expressions involving like terms and the distributive property Properties of exponents 4. Multiplication rule for exponents 5. Division rule for exponents 6. Power rule for exponents 7. Identify equivalent exponential expressions I 8. Identify equivalent exponential expressions II Monomial expressions 9. Simplify exponential expressions using the multiplication rule 10. Simplify exponential expressions using the division rule 11. Simplify exponential expressions using the multiplication and division rules 12. Simplify exponential expressions using the power rule 13. Factor out a monomial Polynomial expressions 14. Add and subtract polynomials using algebra tiles 15. Add and subtract polynomials 16. Add polynomials to find perimeter 17. Multiply a polynomial by a monomial 18. Multiply two binomials using algebra tiles 19. Multiply two binomials 20. Multiply two binomials: special cases 21. Multiply polynomials using area models 22. Multiply polynomials 23. Multiply polynomials to find area
HS.AEE.A.2 Create and recognize an equivalent form of an expression to understand the quantity represented in an authentic context.
Properties of operations 1. Distributive property 2. Simplify linear expressions using properties 3. Simplify variable expressions involving like terms and the distributive property Properties of exponents 4. Multiplication rule for exponents 5. Division rule for exponents 6. Power rule for exponents 7. Identify equivalent exponential expressions I 8. Identify equivalent exponential expressions II Monomial expressions 9. Simplify exponential expressions using the multiplication rule 10. Simplify exponential expressions using the division rule 11. Simplify exponential expressions using the multiplication and division rules 12. Simplify exponential expressions using the power rule 13. Factor out a monomial Polynomial expressions 14. Add and subtract polynomials using algebra tiles 15. Add and subtract polynomials 16. Add polynomials to find perimeter 17. Multiply a polynomial by a monomial 18. Multiply two binomials using algebra tiles 19. Multiply two binomials 20. Multiply two binomials: special cases 21. Multiply polynomials using area models 22. Multiply polynomials 23. Multiply polynomials to find area

HS.AEE.A.3 Rearrange formulas and equations to highlight a specific quantity.		Multi-variable equations 1. Rearrange multi-variable equations Linear equations and inequalities 2. Linear equations: solve for y 3. Write linear equations in standard form 4. Linear inequalities: solve for y
HS.AEE.A.3 Rearrange formulas and equations to highlight a specific quantity.
Multi-variable equations 1. Rearrange multi-variable equations Linear equations and inequalities 2. Linear equations: solve for y 3. Write linear equations in standard form 4. Linear inequalities: solve for y

Checkpoint opportunity		1. Checkpoint: Interpret equivalent expressions 2. Checkpoint: Add, subtract, and multiply polynomials
Checkpoint opportunity
1. Checkpoint: Interpret equivalent expressions 2. Checkpoint: Add, subtract, and multiply polynomials
HS.AEE.B Use algebraic reasoning to find solutions to an equation, inequality, and systems of equations or inequalities.
HS.AEE.B.4 Define variables and create equations with two or more variables to represent relationships between quantities in order to solve problems in authentic contexts.		1. Write a linear function: word problems 2. Write exponential functions: word problems 3. Exponential growth and decay: word problems 4. Compound interest: word problems
HS.AEE.B.4 Define variables and create equations with two or more variables to represent relationships between quantities in order to solve problems in authentic contexts.
1. Write a linear function: word problems 2. Write exponential functions: word problems 3. Exponential growth and decay: word problems 4. Compound interest: word problems

HS.AEE.B.5 Define variables and create inequalities with one or more variables and use them to solve problems in authentic contexts.		1. One-step inequalities: word problems 2. Write two-variable inequalities: word problems
HS.AEE.B.5 Define variables and create inequalities with one or more variables and use them to solve problems in authentic contexts.
1. One-step inequalities: word problems 2. Write two-variable inequalities: word problems

HS.AEE.B.6 Solve systems of linear equations and systems of linear inequalities in authentic contexts through reasoning, algebraic means, or strategically using technology.		Systems of linear equations 1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Find the number of solutions to a system of equations by graphing 4. Find the number of solutions to a system of equations 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination 7. Solve a system of equations using any method Systems of linear equations: word problems 8. Solve a system of equations by graphing: word problems 9. Solve a system of equations using substitution: word problems 10. Solve a system of equations using elimination: word problems 11. Solve a system of equations using any method: word problems Systems of linear inequalities 12. Is (x, y) a solution to the system of linear inequalities? 13. Solve systems of linear inequalities by graphing
HS.AEE.B.6 Solve systems of linear equations and systems of linear inequalities in authentic contexts through reasoning, algebraic means, or strategically using technology.
Systems of linear equations 1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Find the number of solutions to a system of equations by graphing 4. Find the number of solutions to a system of equations 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination 7. Solve a system of equations using any method Systems of linear equations: word problems 8. Solve a system of equations by graphing: word problems 9. Solve a system of equations using substitution: word problems 10. Solve a system of equations using elimination: word problems 11. Solve a system of equations using any method: word problems Systems of linear inequalities 12. Is (x, y) a solution to the system of linear inequalities? 13. Solve systems of linear inequalities by graphing

Checkpoint opportunity		1. Checkpoint: Systems of equations
Checkpoint opportunity
1. Checkpoint: Systems of equations
HS.AEE.C Analyze the structure of an equation or inequality to determine an efficient strategy to find and justify a solution.
HS.AEE.C.7 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities; interpret solutions as viable or nonviable options in authentic contexts.		Linear equations 1. Write a linear function: word problems Linear inequalities 2. Write two-variable inequalities: word problems Systems of equations 3. Solve a system of equations by graphing: word problems 4. Solve a system of equations using substitution: word problems 5. Solve a system of equations using elimination: word problems 6. Solve a system of equations using any method: word problems
HS.AEE.C.7 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities; interpret solutions as viable or nonviable options in authentic contexts.
Linear equations 1. Write a linear function: word problems Linear inequalities 2. Write two-variable inequalities: word problems Systems of equations 3. Solve a system of equations by graphing: word problems 4. Solve a system of equations using substitution: word problems 5. Solve a system of equations using elimination: word problems 6. Solve a system of equations using any method: word problems

HS.AEE.C.8 Construct a viable argument to justify a method for solving equations or inequalities.		Linear equations 1. Solve two-step linear equations 2. Solve one-step and two-step linear equations: word problems 3. Solve linear equations with variables on one side 4. Solve linear equations with variables on both sides 5. Solve linear equations: mixed review 6. Solve linear equations with variables on both sides: word problems Justify methods 7. Properties of equality 8. Identify equivalent equations 9. Model and solve linear equations using algebra tiles 10. Solve linear equations: complete the solution Linear inequalities 11. Solve one-step linear inequalities 12. Solve two-step linear inequalities 13. Solve advanced linear inequalities Quadratic equations 14. Solve a quadratic equation using square roots Exponential equations 15. Solve exponential equations by rewriting the base Rational equations 16. Solve rational equations
HS.AEE.C.8 Construct a viable argument to justify a method for solving equations or inequalities.
Linear equations 1. Solve two-step linear equations 2. Solve one-step and two-step linear equations: word problems 3. Solve linear equations with variables on one side 4. Solve linear equations with variables on both sides 5. Solve linear equations: mixed review 6. Solve linear equations with variables on both sides: word problems Justify methods 7. Properties of equality 8. Identify equivalent equations 9. Model and solve linear equations using algebra tiles 10. Solve linear equations: complete the solution Linear inequalities 11. Solve one-step linear inequalities 12. Solve two-step linear inequalities 13. Solve advanced linear inequalities Quadratic equations 14. Solve a quadratic equation using square roots Exponential equations 15. Solve exponential equations by rewriting the base Rational equations 16. Solve rational equations

Checkpoint opportunity		1. Checkpoint: Solve linear equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities 3. Checkpoint: Problem solving with equations and inequalities
Checkpoint opportunity
1. Checkpoint: Solve linear equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities 3. Checkpoint: Problem solving with equations and inequalities
HS.AEE.D Make predictions in different applications using expressions, equations, and inequalities to analyze authentic contexts.
HS.AEE.D.9 Understand that the solution to an equation in two variables is a set of points in the coordinate plane that form a curve, which could be a line.		1. Relate the graph of a linear equation to its solutions 2. Find values using function graphs 3. Complete a function table from a graph 4. Complete a function table from an equation 5. Complete a table and graph a linear function
HS.AEE.D.9 Understand that the solution to an equation in two variables is a set of points in the coordinate plane that form a curve, which could be a line.
1. Relate the graph of a linear equation to its solutions 2. Find values using function graphs 3. Complete a function table from a graph 4. Complete a function table from an equation 5. Complete a table and graph a linear function

HS.AEE.D.10 Recognize and explain why the point(s) of intersection of the graphs of f(x) and g(x) are solutions to the equation f(x)=g(x). Interpret the meaning of the coordinates of these points in authentic contexts.		Tables 1. Find solutions using a table 2. Approximate solutions using a table Graphs 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems 5. Find the number of solutions to a system of equations by graphing
HS.AEE.D.10 Recognize and explain why the point(s) of intersection of the graphs of f(x) and g(x) are solutions to the equation f(x)=g(x). Interpret the meaning of the coordinates of these points in authentic contexts.
Tables 1. Find solutions using a table 2. Approximate solutions using a table Graphs 3. Solve a system of equations by graphing 4. Solve a system of equations by graphing: word problems 5. Find the number of solutions to a system of equations by graphing

HS.AEE.D.11 Graph and explain why the points in a half plane are solutions to a linear inequality and the solutions to a system of inequalities are the points in the intersection of corresponding half planes. Interpret the meaning of the coordinates of these points in authentic contexts.		Linear inequalities 1. Graph a two-variable linear inequality 2. Write a linear inequality from a graph Systems of linear inequalities 3. Is (x, y) a solution to the system of linear inequalities? 4. Solve systems of linear inequalities by graphing
HS.AEE.D.11 Graph and explain why the points in a half plane are solutions to a linear inequality and the solutions to a system of inequalities are the points in the intersection of corresponding half planes. Interpret the meaning of the coordinates of these points in authentic contexts.
Linear inequalities 1. Graph a two-variable linear inequality 2. Write a linear inequality from a graph Systems of linear inequalities 3. Is (x, y) a solution to the system of linear inequalities? 4. Solve systems of linear inequalities by graphing

Checkpoint opportunity		1. Checkpoint: Solve equations using graphs and tables 2. Checkpoint: Linear inequalities and systems of inequalities
Checkpoint opportunity
1. Checkpoint: Solve equations using graphs and tables 2. Checkpoint: Linear inequalities and systems of inequalities

HS.AFN	Algebraic Reasoning: Functions
HS.AFN.A Describe functions by using both symbolic and graphical representations.
HS.AFN.A.1 Understand a function as a rule that assigns a unique output for every input and that functions model situations where one quantity determines another.		Independent and dependent variables 1. Identify independent and dependent variables Identify functions 2. Identify functions 3. Identify functions: vertical line test Function tables and graphs 4. Find values using function graphs 5. Complete a function table from a graph 6. Complete a function table from an equation Relations 7. Domain and range of relations Linear functions 8. Domain and range of linear functions: graphs Exponential functions 9. Domain and range of exponential functions: graphs 10. Domain and range of exponential functions: equations Quadratic functions 11. Domain and range of quadratic functions: graphs 12. Domain and range of quadratic functions: equations Absolute value functions 13. Domain and range of absolute value functions: graphs 14. Domain and range of absolute value functions: equations Square root functions 15. Domain and range of square root functions: graphs 16. Domain and range of square root functions: equations
HS.AFN.A.1 Understand a function as a rule that assigns a unique output for every input and that functions model situations where one quantity determines another.
Independent and dependent variables 1. Identify independent and dependent variables Identify functions 2. Identify functions 3. Identify functions: vertical line test Function tables and graphs 4. Find values using function graphs 5. Complete a function table from a graph 6. Complete a function table from an equation Relations 7. Domain and range of relations Linear functions 8. Domain and range of linear functions: graphs Exponential functions 9. Domain and range of exponential functions: graphs 10. Domain and range of exponential functions: equations Quadratic functions 11. Domain and range of quadratic functions: graphs 12. Domain and range of quadratic functions: equations Absolute value functions 13. Domain and range of absolute value functions: graphs 14. Domain and range of absolute value functions: equations Square root functions 15. Domain and range of square root functions: graphs 16. Domain and range of square root functions: equations

HS.AFN.A.2 Use function notation and interpret statements that use function notation in terms of the context and the relationship it describes.		Evaluate functions 1. Evaluate a function 2. Evaluate a function: plug in an expression 3. Evaluate piecewise-defined functions 4. Evaluate an exponential function Interpret function notation 5. Interpret functions using everyday language Function tables and graphs 6. Find values using function graphs 7. Complete a function table from a graph 8. Complete a function table from an equation 9. Complete a function table: quadratic functions 10. Complete a function table: absolute value functions Build functions 11. Write linear and exponential functions: word problems
HS.AFN.A.2 Use function notation and interpret statements that use function notation in terms of the context and the relationship it describes.
Evaluate functions 1. Evaluate a function 2. Evaluate a function: plug in an expression 3. Evaluate piecewise-defined functions 4. Evaluate an exponential function Interpret function notation 5. Interpret functions using everyday language Function tables and graphs 6. Find values using function graphs 7. Complete a function table from a graph 8. Complete a function table from an equation 9. Complete a function table: quadratic functions 10. Complete a function table: absolute value functions Build functions 11. Write linear and exponential functions: word problems

HS.AFN.A.3 Calculate and interpret the average rate of change of a function over a specified interval.		1. Rate of change: tables 2. Rate of change: graphs
HS.AFN.A.3 Calculate and interpret the average rate of change of a function over a specified interval.
1. Rate of change: tables 2. Rate of change: graphs

Checkpoint opportunity		1. Checkpoint: Average rate of change
Checkpoint opportunity
1. Checkpoint: Average rate of change
HS.AFN.B Compare and relate functions using common attributes.
HS.AFN.B.4 Compare properties of two functions using multiple representations. Distinguish functions as members of the same family using common attributes.		Compare functions 1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations 3. Compare linear and exponential growth 4. Compare linear, exponential, and quadratic growth Identify function families 5. Identify linear functions from graphs and equations 6. Identify linear functions from tables 7. Identify linear, quadratic, and exponential functions from graphs 8. Identify linear, quadratic, and exponential functions from tables
HS.AFN.B.4 Compare properties of two functions using multiple representations. Distinguish functions as members of the same family using common attributes.
Compare functions 1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations 3. Compare linear and exponential growth 4. Compare linear, exponential, and quadratic growth Identify function families 5. Identify linear functions from graphs and equations 6. Identify linear functions from tables 7. Identify linear, quadratic, and exponential functions from graphs 8. Identify linear, quadratic, and exponential functions from tables

HS.AFN.B.5 Relate the domain of a function to its graph and to its context.		Linear functions 1. Domain and range of linear functions: graphs 2. Domain and range of linear functions: word problems Exponential functions 3. Domain and range of exponential functions: graphs 4. Domain and range of exponential functions: equations Quadratic functions 5. Domain and range of quadratic functions: graphs 6. Domain and range of quadratic functions: equations Absolute value functions 7. Domain and range of absolute value functions: graphs 8. Domain and range of absolute value functions: equations Square root functions 9. Domain and range of square root functions: graphs 10. Domain and range of square root functions: equations
HS.AFN.B.5 Relate the domain of a function to its graph and to its context.
Linear functions 1. Domain and range of linear functions: graphs 2. Domain and range of linear functions: word problems Exponential functions 3. Domain and range of exponential functions: graphs 4. Domain and range of exponential functions: equations Quadratic functions 5. Domain and range of quadratic functions: graphs 6. Domain and range of quadratic functions: equations Absolute value functions 7. Domain and range of absolute value functions: graphs 8. Domain and range of absolute value functions: equations Square root functions 9. Domain and range of square root functions: graphs 10. Domain and range of square root functions: equations

Checkpoint opportunity		1. Checkpoint: Function concepts
Checkpoint opportunity
1. Checkpoint: Function concepts
HS.AFN.C Represent functions graphically and interpret key features in terms of the equivalent symbolic representation.
HS.AFN.C.6 Interpret key features of functions, from multiple representations, and conversely predict features of functions from knowledge of context.		Proportional relationships 1. Find the constant of variation 2. Identify proportional relationships Linear functions 3. Find the slope of a graph 4. Find the slope from a table 5. Slope-intercept form: find the slope and y-intercept 6. Standard form: find x- and y-intercepts 7. Slopes of parallel and perpendicular lines 8. Evaluate a linear function from its graph: word problems 9. Interpret the slope and y-intercept of a linear function Quadratic functions 10. Characteristics of quadratic functions: graphs 11. Characteristics of quadratic functions: equations
HS.AFN.C.6 Interpret key features of functions, from multiple representations, and conversely predict features of functions from knowledge of context.
Proportional relationships 1. Find the constant of variation 2. Identify proportional relationships Linear functions 3. Find the slope of a graph 4. Find the slope from a table 5. Slope-intercept form: find the slope and y-intercept 6. Standard form: find x- and y-intercepts 7. Slopes of parallel and perpendicular lines 8. Evaluate a linear function from its graph: word problems 9. Interpret the slope and y-intercept of a linear function Quadratic functions 10. Characteristics of quadratic functions: graphs 11. Characteristics of quadratic functions: equations

HS.AFN.C.7 Graph functions using technology to show key features.		Linear functions 1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Point-slope form: graph an equation 4. Graph a proportional relationship Quadratic functions 5. Graph quadratic functions in vertex form 6. Graph quadratic functions in standard form 7. Match quadratic functions and graphs Square root functions 8. Graph square root functions Piecewise-defined functions 9. Graph piecewise-defined functions 10. Graph an absolute value function Polynomial functions 11. Match polynomials and graphs using end behavior Exponential functions 12. Graph exponential functions 13. Match exponential functions and graphs I 14. Match exponential functions and graphs II
HS.AFN.C.7 Graph functions using technology to show key features.
Linear functions 1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Point-slope form: graph an equation 4. Graph a proportional relationship Quadratic functions 5. Graph quadratic functions in vertex form 6. Graph quadratic functions in standard form 7. Match quadratic functions and graphs Square root functions 8. Graph square root functions Piecewise-defined functions 9. Graph piecewise-defined functions 10. Graph an absolute value function Polynomial functions 11. Match polynomials and graphs using end behavior Exponential functions 12. Graph exponential functions 13. Match exponential functions and graphs I 14. Match exponential functions and graphs II

Checkpoint opportunity		1. Checkpoint: Analyze, interpret, and compare functions
Checkpoint opportunity
1. Checkpoint: Analyze, interpret, and compare functions
HS.AFN.D Model a wide variety of authentic situations using functions through the process of making and changing assumptions, assigning variables, and finding solutions to contextual problems.
HS.AFN.D.8 Model situations involving arithmetic patterns. Use a variety of representations such as pictures, graphs, or an explicit formula to describe the pattern.		Explicit form 1. Evaluate variable expressions for number sequences 2. Write variable expressions for arithmetic sequences 3. Write variable expressions for geometric sequences Recursive form 4. Evaluate recursive formulas for sequences 5. Write a formula for a recursive sequence Function notation 6. Evaluate formulas for number sequences: function notation 7. Write formulas for arithmetic sequences: function notation 8. Write formulas for arithmetic and geometric sequences: function notation Convert between forms 9. Convert a recursive formula to an explicit formula 10. Convert an explicit formula to a recursive formula
HS.AFN.D.8 Model situations involving arithmetic patterns. Use a variety of representations such as pictures, graphs, or an explicit formula to describe the pattern.
Explicit form 1. Evaluate variable expressions for number sequences 2. Write variable expressions for arithmetic sequences 3. Write variable expressions for geometric sequences Recursive form 4. Evaluate recursive formulas for sequences 5. Write a formula for a recursive sequence Function notation 6. Evaluate formulas for number sequences: function notation 7. Write formulas for arithmetic sequences: function notation 8. Write formulas for arithmetic and geometric sequences: function notation Convert between forms 9. Convert a recursive formula to an explicit formula 10. Convert an explicit formula to a recursive formula

HS.AFN.D.9 Identify and interpret the effect on the graph of a function when the equation has been transformed.		Linear functions 1. Transformations of linear functions Quadratic functions 2. Transformations of quadratic functions Absolute value functions 3. Transformations of absolute value functions: translations and reflections 4. Transformations of absolute value functions: translations, reflections, and dilations Function transformations 5. Function transformation rules 6. Translations of functions 7. Reflections of functions 8. Dilations of functions 9. Transformations of functions 10. Describe function transformations
HS.AFN.D.9 Identify and interpret the effect on the graph of a function when the equation has been transformed.
Linear functions 1. Transformations of linear functions Quadratic functions 2. Transformations of quadratic functions Absolute value functions 3. Transformations of absolute value functions: translations and reflections 4. Transformations of absolute value functions: translations, reflections, and dilations Function transformations 5. Function transformation rules 6. Translations of functions 7. Reflections of functions 8. Dilations of functions 9. Transformations of functions 10. Describe function transformations

HS.AFN.D.10 Explain why a situation can be modeled with a linear function, an exponential function, or neither. In a given model, explain the meaning of coefficients and features of functions used, such as slope for a linear model.		Linear functions 1. Interpret the slope and y-intercept of a linear function 2. Linear functions over unit intervals Exponential functions 3. Exponential functions over unit intervals Linear and exponential functions 4. Identify linear and exponential functions from graphs 5. Identify linear and exponential functions from tables 6. Write linear and exponential functions: word problems 7. Write linear and exponential functions from tables 8. Describe linear and exponential growth and decay
HS.AFN.D.10 Explain why a situation can be modeled with a linear function, an exponential function, or neither. In a given model, explain the meaning of coefficients and features of functions used, such as slope for a linear model.
Linear functions 1. Interpret the slope and y-intercept of a linear function 2. Linear functions over unit intervals Exponential functions 3. Exponential functions over unit intervals Linear and exponential functions 4. Identify linear and exponential functions from graphs 5. Identify linear and exponential functions from tables 6. Write linear and exponential functions: word problems 7. Write linear and exponential functions from tables 8. Describe linear and exponential growth and decay

Checkpoint opportunity		1. Checkpoint: Sequences 2. Checkpoint: Function transformations 3. Checkpoint: Compare linear and exponential functions 4. Checkpoint: Graph and analyze functions
Checkpoint opportunity
1. Checkpoint: Sequences 2. Checkpoint: Function transformations 3. Checkpoint: Compare linear and exponential functions 4. Checkpoint: Graph and analyze functions

HS.NQ	Numeric Reasoning: Number and Quantity
HS.NQ.A Understand and apply the real number system.
HS.NQ.A.1 Use reasoning to establish properties of positive integer exponents. Extend the definition of exponentiation to include negative and rational exponents so as to be consistent with these properties. Utilize exponentiation to model authentic contexts.		Positive integer exponents 1. Powers with integer bases 2. Powers with decimal and fractional bases Negative integer exponents 3. Negative exponents Properties of exponents 4. Multiplication rule for exponents 5. Division rule for exponents 6. Power rule for exponents 7. Evaluate expressions using exponent rules Rational exponents 8. Evaluate integers raised to positive rational exponents 9. Evaluate integers raised to rational exponents 10. Multiplication with rational exponents 11. Division with rational exponents 12. Power rule with rational exponents 13. Simplify expressions involving rational exponents Radical expressions 14. Simplify radical expressions 15. Simplify radical expressions with variables 16. Simplify radical expressions involving fractions 17. Multiply radical expressions 18. Add and subtract radical expressions 19. Simplify radical expressions using the distributive property
HS.NQ.A.1 Use reasoning to establish properties of positive integer exponents. Extend the definition of exponentiation to include negative and rational exponents so as to be consistent with these properties. Utilize exponentiation to model authentic contexts.
Positive integer exponents 1. Powers with integer bases 2. Powers with decimal and fractional bases Negative integer exponents 3. Negative exponents Properties of exponents 4. Multiplication rule for exponents 5. Division rule for exponents 6. Power rule for exponents 7. Evaluate expressions using exponent rules Rational exponents 8. Evaluate integers raised to positive rational exponents 9. Evaluate integers raised to rational exponents 10. Multiplication with rational exponents 11. Division with rational exponents 12. Power rule with rational exponents 13. Simplify expressions involving rational exponents Radical expressions 14. Simplify radical expressions 15. Simplify radical expressions with variables 16. Simplify radical expressions involving fractions 17. Multiply radical expressions 18. Add and subtract radical expressions 19. Simplify radical expressions using the distributive property

HS.NQ.A.2 Compare real numbers presented through different representations, including both rational and irrational numbers. Apply comparisons in authentic contexts.		1. Compare and order real numbers 2. Sort rational and irrational numbers 3. Classify rational and irrational numbers 4. Properties of operations on rational and irrational numbers 5. Classify numbers
HS.NQ.A.2 Compare real numbers presented through different representations, including both rational and irrational numbers. Apply comparisons in authentic contexts.
1. Compare and order real numbers 2. Sort rational and irrational numbers 3. Classify rational and irrational numbers 4. Properties of operations on rational and irrational numbers 5. Classify numbers

Checkpoint opportunity		1. Checkpoint: Radicals and rational exponents
Checkpoint opportunity
1. Checkpoint: Radicals and rational exponents
HS.NQ.B Attend to units of measurement needed to solve problems through quantitative reasoning and mathematical modeling.
HS.NQ.B.3 Use reasoning to choose and interpret measurement units consistently in formulas, graphs, and data displays, as a way to understand problems and to guide the solution of multi-step problems.		1. Scale drawings: word problems 2. Unit prices with unit conversions 3. Multi-step problems with unit conversions 4. Rate of travel: word problems 5. Weighted averages: word problems
HS.NQ.B.3 Use reasoning to choose and interpret measurement units consistently in formulas, graphs, and data displays, as a way to understand problems and to guide the solution of multi-step problems.
1. Scale drawings: word problems 2. Unit prices with unit conversions 3. Multi-step problems with unit conversions 4. Rate of travel: word problems 5. Weighted averages: word problems

HS.NQ.B.4 Define, manipulate, and interpret appropriate quantities using rational and irrational numbers to authentically model situations and use reasoning to justify these choices.		Linear models 1. Solve one-step and two-step linear equations: word problems 2. Solve linear equations with variables on both sides: word problems 3. Solve a system of equations using any method: word problems Exponential models 4. Write exponential functions: word problems 5. Exponential growth and decay: word problems Quadratic models 6. Solve quadratic equations: word problems
HS.NQ.B.4 Define, manipulate, and interpret appropriate quantities using rational and irrational numbers to authentically model situations and use reasoning to justify these choices.
Linear models 1. Solve one-step and two-step linear equations: word problems 2. Solve linear equations with variables on both sides: word problems 3. Solve a system of equations using any method: word problems Exponential models 4. Write exponential functions: word problems 5. Exponential growth and decay: word problems Quadratic models 6. Solve quadratic equations: word problems

HS.NQ.B.5 Use reasoning to choose a level of accuracy appropriate to limitations on measurement when reporting quantities in modeling situations.		Precision 1. Precision Greatest possible error 2. Greatest possible error 3. Minimum and maximum area and volume Percent error 4. Percent error 5. Percent error: area and volume
HS.NQ.B.5 Use reasoning to choose a level of accuracy appropriate to limitations on measurement when reporting quantities in modeling situations.
Precision 1. Precision Greatest possible error 2. Greatest possible error 3. Minimum and maximum area and volume Percent error 4. Percent error 5. Percent error: area and volume

Checkpoint opportunity		1. Checkpoint: Units and quantities
Checkpoint opportunity
1. Checkpoint: Units and quantities