IXL Skill Plan | Tennessee Academic Standards: Integrated Mathematics II

Tennessee Academic Standards: Integrated Mathematics II

Skills available for Tennessee Integrated Mathematics II math standards

Domain

Number and Quantity
Algebra
Functions
Geometry
Statistics and Probability

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M2.N	Number and Quantity
M2.N.RN The Real Number System
M2.N.RN.A Extend the properties of integer exponents to rational exponents.
M2.N.RN.A Extend the properties of integer exponents to rational exponents.

M2.N.RN.A.1: Extend the properties of integer exponents to rational exponents.
M2.N.RN.A.1: Extend the properties of integer exponents to rational exponents.

M2.N.RN.A.1.a: Develop the meaning of rational exponents by applying the properties of integer exponents.		1. Evaluate integers raised to positive rational exponents 2. Evaluate integers raised to rational exponents
M2.N.RN.A.1.a: Develop the meaning of rational exponents by applying the properties of integer exponents.
1. Evaluate integers raised to positive rational exponents 2. Evaluate integers raised to rational exponents
M2.N.RN.A.1.b: Explain why x^1/n can be written as the n^th root of x.		1. Convert between rational exponents and radicals
M2.N.RN.A.1.b: Explain why x^1/n can be written as the n^th root of x.
1. Convert between rational exponents and radicals
M2.N.RN.A.1.c: Rewrite expressions involving radicals and rational exponents using the properties of exponents.		Rational exponents 1. Multiplication with rational exponents 2. Division with rational exponents 3. Power rule with rational exponents 4. Simplify expressions involving rational exponents 5. Convert between rational exponents and radicals Radical expressions 6. Simplify radical expressions 7. Simplify radical expressions with variables 8. Simplify radical expressions involving fractions 9. Multiply radical expressions 10. Add and subtract radical expressions 11. Simplify radical expressions using the distributive property 12. Simplify radical expressions using conjugates 13. Simplify radical expressions: mixed review
M2.N.RN.A.1.c: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Rational exponents 1. Multiplication with rational exponents 2. Division with rational exponents 3. Power rule with rational exponents 4. Simplify expressions involving rational exponents 5. Convert between rational exponents and radicals Radical expressions 6. Simplify radical expressions 7. Simplify radical expressions with variables 8. Simplify radical expressions involving fractions 9. Multiply radical expressions 10. Add and subtract radical expressions 11. Simplify radical expressions using the distributive property 12. Simplify radical expressions using conjugates 13. Simplify radical expressions: mixed review
Checkpoint opportunity		1. Checkpoint: Radicals and rational exponents
Checkpoint opportunity
1. Checkpoint: Radicals and rational exponents

M2.N.Q.A Reason quantitatively and use units to understand problems.
M2.N.Q.A Reason quantitatively and use units to understand problems.

M2.N.Q.A.1: Use units as a way to understand real-world problems.
M2.N.Q.A.1: Use units as a way to understand real-world problems.

M2.N.Q.A.1.a: Choose and interpret the scale and the origin in graphs and data displays.
M2.N.Q.A.1.a: Choose and interpret the scale and the origin in graphs and data displays.

M2.N.Q.A.1.b: Use appropriate quantities in formulas, converting units as necessary.		1. Convert rates and measurements: customary units 2. Convert rates and measurements: metric units 3. Convert square and cubic units of length 4. Calculate density, mass, and volume
M2.N.Q.A.1.b: Use appropriate quantities in formulas, converting units as necessary.
1. Convert rates and measurements: customary units 2. Convert rates and measurements: metric units 3. Convert square and cubic units of length 4. Calculate density, mass, and volume
M2.N.Q.A.1.c: Define and justify appropriate quantities within a context for the purpose of modeling.		1. Solve linear equations: word problems 2. Solve a system of equations using any method 3. Exponential growth and decay: word problems 4. Compound interest: word problems
M2.N.Q.A.1.c: Define and justify appropriate quantities within a context for the purpose of modeling.
1. Solve linear equations: word problems 2. Solve a system of equations using any method 3. Exponential growth and decay: word problems 4. Compound interest: word problems
M2.N.Q.A.1.d: Choose an appropriate level of accuracy when reporting quantities.		1. Precision 2. Greatest possible error 3. Minimum and maximum area and volume 4. Percent error 5. Percent error: area and volume
M2.N.Q.A.1.d: Choose an appropriate level of accuracy when reporting quantities.
1. Precision 2. Greatest possible error 3. Minimum and maximum area and volume 4. Percent error 5. Percent error: area and volume

M2.A	Algebra
M2.A.SSE Seeing Structure in Expressions
M2.A.SSE.A Interpret the structure of expressions.
M2.A.SSE.A Interpret the structure of expressions.

M2.A.SSE.A.1: Interpret expressions that represent a quantity in terms of its context.
M2.A.SSE.A.1: Interpret expressions that represent a quantity in terms of its context.

M2.A.SSE.A.1.a: Interpret parts of an expression, such as terms, factors, and coefficients.		1. Interpret parts of quadratic expressions: word problems 2. Sort factors of single-variable expressions 3. Sort factors of multi-variable expressions
M2.A.SSE.A.1.a: Interpret parts of an expression, such as terms, factors, and coefficients.
1. Interpret parts of quadratic expressions: word problems 2. Sort factors of single-variable expressions 3. Sort factors of multi-variable expressions
M2.A.SSE.A.1.b: Interpret complicated expressions by viewing one or more of their parts as a single entity.		1. Interpret parts of quadratic expressions: word problems
M2.A.SSE.A.1.b: Interpret complicated expressions by viewing one or more of their parts as a single entity.
1. Interpret parts of quadratic expressions: word problems
M2.A.APR Arithmetic with Polynomials and Rational Expressions
M2.A.APR.A Perform arithmetic operations on polynomials.
M2.A.APR.A Perform arithmetic operations on polynomials.

M2.A.APR.A.1: Add, subtract, and multiply polynomials. Use these operations to demonstrate that polynomials form a closed system that adhere to the same properties of operations as the integers.		Model polynomials 1. Model polynomials with algebra tiles Addition and subtraction 2. Add and subtract polynomials using algebra tiles 3. Add and subtract polynomials 4. Add polynomials to find perimeter Multiplication 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles 7. Multiply two binomials 8. Multiply two binomials: special cases 9. Multiply polynomials
M2.A.APR.A.1: Add, subtract, and multiply polynomials. Use these operations to demonstrate that polynomials form a closed system that adhere to the same properties of operations as the integers.
Model polynomials 1. Model polynomials with algebra tiles Addition and subtraction 2. Add and subtract polynomials using algebra tiles 3. Add and subtract polynomials 4. Add polynomials to find perimeter Multiplication 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles 7. Multiply two binomials 8. Multiply two binomials: special cases 9. Multiply polynomials
Checkpoint opportunity		1. Checkpoint: Polynomial operations
Checkpoint opportunity
1. Checkpoint: Polynomial operations

M2.A.APR.B Understand the relationship between zeros and factors of polynomials.
M2.A.APR.B Understand the relationship between zeros and factors of polynomials.

M2.A.APR.B.2: Know and apply the Factor Theorem: For a polynomial p(x) and a number a, p(a) = 0 if and only if (x – a) is a factor of p(x).		1. Solve a quadratic equation using the zero product property 2. Write a quadratic function from its zeros
M2.A.APR.B.2: Know and apply the Factor Theorem: For a polynomial p(x) and a number a, p(a) = 0 if and only if (x – a) is a factor of p(x).
1. Solve a quadratic equation using the zero product property 2. Write a quadratic function from its zeros
M2.A.CED Creating Equations
M2.A.CED.A Create equations that describe numbers or relationships.
M2.A.CED.A Create equations that describe numbers or relationships.

M2.A.CED.A.1: Create equations and inequalities in one variable and use them to solve problems in a real-world context.		1. Write exponential functions: word problems 2. Solve quadratic equations: word problems 3. Write inequalities from graphs
M2.A.CED.A.1: Create equations and inequalities in one variable and use them to solve problems in a real-world context.
1. Write exponential functions: word problems 2. Solve quadratic equations: word problems 3. Write inequalities from graphs
M2.A.CED.A.2: Create equations and inequalities in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.		Exponential equations 1. Write exponential functions: word problems 2. Graph exponential functions 3. Match exponential functions and graphs Quadratic equations 4. Graph quadratic functions in vertex form 5. Write a quadratic function in vertex form 6. Graph quadratic functions in standard form 7. Match quadratic functions and graphs 8. Write a quadratic function in vertex form from its vertex and another point 9. Write a quadratic function in factored form from its x-intercepts and another point Linear, quadratic, and exponential equations 10. Write linear, quadratic, and exponential functions from tables Square root equations 11. Graph square root functions
M2.A.CED.A.2: Create equations and inequalities in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.
Exponential equations 1. Write exponential functions: word problems 2. Graph exponential functions 3. Match exponential functions and graphs Quadratic equations 4. Graph quadratic functions in vertex form 5. Write a quadratic function in vertex form 6. Graph quadratic functions in standard form 7. Match quadratic functions and graphs 8. Write a quadratic function in vertex form from its vertex and another point 9. Write a quadratic function in factored form from its x-intercepts and another point Linear, quadratic, and exponential equations 10. Write linear, quadratic, and exponential functions from tables Square root equations 11. Graph square root functions
M2.A.CED.A.3: Rearrange formulas to isolate a quantity of interest using algebraic reasoning.		1. Rearrange multi-variable equations
M2.A.CED.A.3: Rearrange formulas to isolate a quantity of interest using algebraic reasoning.
1. Rearrange multi-variable equations
M2.A.REI Reasoning with Equations and Inequalities
M2.A.REI.A Understand solving equations as a process of reasoning and explain the reasoning.
M2.A.REI.A Understand solving equations as a process of reasoning and explain the reasoning.

M2.A.REI.A.1: Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.		1. Properties of equality 2. Identify equivalent equations 3. Solve linear equations: complete the solution
M2.A.REI.A.1: Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.
1. Properties of equality 2. Identify equivalent equations 3. Solve linear equations: complete the solution

M2.A.REI.B Solve equations and inequalities in one variable.
M2.A.REI.B Solve equations and inequalities in one variable.

M2.A.REI.B.2: Solve quadratic equations and inequalities in one variable.
M2.A.REI.B.2: Solve quadratic equations and inequalities in one variable.

M2.A.REI.B.2.a: Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, knowing and applying the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when a quadratic equation has non-real solutions.		Square roots 1. Solve a quadratic equation using square roots Factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Quadratic formula 4. Solve a quadratic equation using the quadratic formula 5. Using the discriminant Word problems 6. Solve quadratic equations: word problems
M2.A.REI.B.2.a: Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, knowing and applying the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when a quadratic equation has non-real solutions.
Square roots 1. Solve a quadratic equation using square roots Factoring 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring Quadratic formula 4. Solve a quadratic equation using the quadratic formula 5. Using the discriminant Word problems 6. Solve quadratic equations: word problems
M2.A.REI.B.2.b: Solve quadratic inequalities using the graph of the related quadratic equation.		1. Graph solutions to quadratic inequalities
M2.A.REI.B.2.b: Solve quadratic inequalities using the graph of the related quadratic equation.
1. Graph solutions to quadratic inequalities
M2.A.REI.B.3: Solve radical equations in one variable and identify extraneous solutions when they exist.		1. Solve radical equations I 2. Solve radical equations II
M2.A.REI.B.3: Solve radical equations in one variable and identify extraneous solutions when they exist.
1. Solve radical equations I 2. Solve radical equations II

M2.A.REI.C Solve systems of equations.
M2.A.REI.C Solve systems of equations.

M2.A.REI.C.4: Solve a system consisting of a linear equation and a quadratic equation in two variables algebraically, graphically, and using technology.		1. Solve a system of linear and quadratic equations by graphing 2. Solve a system of linear and quadratic equations
M2.A.REI.C.4: Solve a system consisting of a linear equation and a quadratic equation in two variables algebraically, graphically, and using technology.
1. Solve a system of linear and quadratic equations by graphing 2. Solve a system of linear and quadratic equations
Checkpoint opportunity		1. Checkpoint: Quadratic equations
Checkpoint opportunity
1. Checkpoint: Quadratic equations

M2.A.REI.D Represent and solve equations and inequalities graphically.
M2.A.REI.D Represent and solve equations and inequalities graphically.

M2.A.REI.D.5: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). Find approximate solutions by graphing the functions or making a table of values, using technology when appropriate.		1. Find solutions using a table 2. Approximate solutions using a table 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 6. Solve systems of linear and absolute value inequalities by graphing
M2.A.REI.D.5: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). Find approximate solutions by graphing the functions or making a table of values, using technology when appropriate.
1. Find solutions using a table 2. Approximate solutions using a table 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 6. Solve systems of linear and absolute value inequalities by graphing

M2.F	Functions
M2.F.IF Interpreting Functions
M2.F.IF.A Understand the concept of function and use function notation.
M2.F.IF.A Understand the concept of function and use function notation.

M2.F.IF.A.1: Use function notation.
M2.F.IF.A.1: Use function notation.

M2.F.IF.A.1.a: Use function notation to evaluate functions for inputs in their domains, including functions of two variables.		1. Evaluate functions 2. Find values using function graphs 3. Complete a table for a function graph 4. Complete a function table: quadratic functions
M2.F.IF.A.1.a: Use function notation to evaluate functions for inputs in their domains, including functions of two variables.
1. Evaluate functions 2. Find values using function graphs 3. Complete a table for a function graph 4. Complete a function table: quadratic functions
M2.F.IF.A.1.b: Interpret statements that use function notation in terms of a context.		1. Interpret functions using everyday language
M2.F.IF.A.1.b: Interpret statements that use function notation in terms of a context.
1. Interpret functions using everyday language
M2.F.IF.A.2: Understand geometric formulas as functions.
M2.F.IF.A.2: Understand geometric formulas as functions.


M2.F.IF.B Interpret functions that arise in applications in terms of the context.
M2.F.IF.B Interpret functions that arise in applications in terms of the context.

M2.F.IF.B.3: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.		Piecewise-defined functions 1. Graph piecewise-defined functions Exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Characteristics of quadratic functions: equations 7. Graph quadratic functions in vertex form Absolute value functions 8. Graph an absolute value function Square root functions 9. Graph square root functions
M2.F.IF.B.3: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Piecewise-defined functions 1. Graph piecewise-defined functions Exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Characteristics of quadratic functions: equations 7. Graph quadratic functions in vertex form Absolute value functions 8. Graph an absolute value function Square root functions 9. Graph square root functions
M2.F.IF.B.4: Relate the domain of a function to its graph and, where applicable, to the context of the function it models.		Exponential functions 1. Domain and range of exponential functions: graphs 2. Domain and range of exponential functions: equations Quadratic functions 3. Domain and range of quadratic functions: graphs 4. Domain and range of quadratic functions: equations Absolute value functions 5. Domain and range of absolute value functions: graphs 6. Domain and range of absolute value functions: equations Square root functions 7. Domain and range of square root functions: graphs 8. Domain and range of square root functions: equations
M2.F.IF.B.4: Relate the domain of a function to its graph and, where applicable, to the context of the function it models.
Exponential functions 1. Domain and range of exponential functions: graphs 2. Domain and range of exponential functions: equations Quadratic functions 3. Domain and range of quadratic functions: graphs 4. Domain and range of quadratic functions: equations Absolute value functions 5. Domain and range of absolute value functions: graphs 6. Domain and range of absolute value functions: equations Square root functions 7. Domain and range of square root functions: graphs 8. Domain and range of square root functions: equations
M2.F.IF.B.5: Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate and interpret the rate of change from a graph.		1. Rate of change: tables 2. Rate of change: graphs
M2.F.IF.B.5: Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate and interpret the rate of change from a graph.
1. Rate of change: tables 2. Rate of change: graphs

M2.F.IF.C Analyze functions using different representation.
M2.F.IF.C Analyze functions using different representation.

M2.F.IF.C.6: Graph functions expressed algebraically and show key features of the graph by hand and using technology.		Piecewise-defined functions 1. Graph piecewise-defined functions Exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Graph quadratic functions in vertex form 7. Graph quadratic functions in standard form 8. Match quadratic functions and graphs Absolute value functions 9. Graph an absolute value function Square root functions 10. Graph square root functions
M2.F.IF.C.6: Graph functions expressed algebraically and show key features of the graph by hand and using technology.
Piecewise-defined functions 1. Graph piecewise-defined functions Exponential functions 2. Graph exponential functions 3. Match exponential functions and graphs I 4. Match exponential functions and graphs II Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Graph quadratic functions in vertex form 7. Graph quadratic functions in standard form 8. Match quadratic functions and graphs Absolute value functions 9. Graph an absolute value function Square root functions 10. Graph square root functions
M2.F.IF.C.7: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
M2.F.IF.C.7: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

M2.F.IF.C.7.a: Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.		1. Write a quadratic function in vertex form 2. Solve a quadratic equation by factoring
M2.F.IF.C.7.a: Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.
1. Write a quadratic function in vertex form 2. Solve a quadratic equation by factoring
M2.F.IF.C.7.b: Know and use the properties of exponents to interpret expressions for exponential functions in terms of a real-world context.		1. Evaluate an exponential function 2. Match exponential functions and graphs I 3. Match exponential functions and graphs II 4. Exponential functions over unit intervals
M2.F.IF.C.7.b: Know and use the properties of exponents to interpret expressions for exponential functions in terms of a real-world context.
1. Evaluate an exponential function 2. Match exponential functions and graphs I 3. Match exponential functions and graphs II 4. Exponential functions over unit intervals
M2.F.IF.C.8: Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.
M2.F.IF.C.8: Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.

M2.F.IF.C.8.a: Compare properties of two different functions. Functions may be of different types and/or represented in different ways.		1. Compare linear, exponential, and quadratic growth
M2.F.IF.C.8.a: Compare properties of two different functions. Functions may be of different types and/or represented in different ways.
1. Compare linear, exponential, and quadratic growth
M2.F.IF.C.8.b: Compare properties of the same function on two different intervals or represented in two different ways.		1. Linear functions over unit intervals 2. Exponential functions over unit intervals
M2.F.IF.C.8.b: Compare properties of the same function on two different intervals or represented in two different ways.
1. Linear functions over unit intervals 2. Exponential functions over unit intervals
Checkpoint opportunity		1. Checkpoint: Average rate of change 2. Checkpoint: Graph and analyze functions
Checkpoint opportunity
1. Checkpoint: Average rate of change 2. Checkpoint: Graph and analyze functions
M2.F.BF Building Functions
M2.F.BF.A Build a function that models a relationship between two quantities.
M2.F.BF.A Build a function that models a relationship between two quantities.

M2.F.BF.A.1: Build a function that describes a relationship between two quantities.		1. Solve quadratic equations: word problems
M2.F.BF.A.1: Build a function that describes a relationship between two quantities.
1. Solve quadratic equations: word problems
M2.F.BF.A.1.a: Combine standard function types using arithmetic operations.		1. Add and subtract functions 2. Multiply functions
M2.F.BF.A.1.a: Combine standard function types using arithmetic operations.
1. Add and subtract functions 2. Multiply functions

M2.F.BF.B Build new functions from existing functions.
M2.F.BF.B Build new functions from existing functions.

M2.F.BF.B.2: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given graphs.		Quadratic functions 1. Transformations of quadratic functions Functions 2. Function transformation rules 3. Translations of functions 4. Reflections of functions 5. Dilations of functions 6. Transformations of functions 7. Describe function transformations
M2.F.BF.B.2: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given graphs.
Quadratic functions 1. Transformations of quadratic functions Functions 2. Function transformation rules 3. Translations of functions 4. Reflections of functions 5. Dilations of functions 6. Transformations of functions 7. Describe function transformations
Checkpoint opportunity		1. Checkpoint: Function transformations
Checkpoint opportunity
1. Checkpoint: Function transformations

M2.G	Geometry
M2.G.CO Congruence
M2.G.CO.A Experiment with transformations in the plane.
M2.G.CO.A Experiment with transformations in the plane.

M2.G.CO.A.1: Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.		Translations 1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Congruence transformations 8. Classify congruence transformations 9. Reflections and rotations: write the rule Dilations 10. Dilations: graph the image 11. Dilations: find the coordinates 12. Dilations: find the scale factor
M2.G.CO.A.1: Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.
Translations 1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates Congruence transformations 8. Classify congruence transformations 9. Reflections and rotations: write the rule Dilations 10. Dilations: graph the image 11. Dilations: find the coordinates 12. Dilations: find the scale factor
M2.G.CO.A.2: Given a rectangle, parallelogram, trapezoid, or regular polygon, determine the transformations that carry the shape onto itself and describe them in terms of the symmetry of the figure.		1. Transformations that carry a polygon onto itself
M2.G.CO.A.2: Given a rectangle, parallelogram, trapezoid, or regular polygon, determine the transformations that carry the shape onto itself and describe them in terms of the symmetry of the figure.
1. Transformations that carry a polygon onto itself
M2.G.CO.A.3: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.		1. Rotate polygons about a point
M2.G.CO.A.3: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
1. Rotate polygons about a point
M2.G.CO.A.4: Given a geometric figure, draw the image of the figure after a sequence of one or more rigid motions, by hand and using technology. Identify a sequence of rigid motions that will carry a given figure onto another.		Graph an image 1. Translations: graph the image 2. Reflections: graph the image 3. Rotations: graph the image Sequences of transformations 4. Sequences of congruence transformations: graph the image 5. Sequences of congruence transformations: choose the sequence 6. Sequences of congruence transformations: find the rules
M2.G.CO.A.4: Given a geometric figure, draw the image of the figure after a sequence of one or more rigid motions, by hand and using technology. Identify a sequence of rigid motions that will carry a given figure onto another.
Graph an image 1. Translations: graph the image 2. Reflections: graph the image 3. Rotations: graph the image Sequences of transformations 4. Sequences of congruence transformations: graph the image 5. Sequences of congruence transformations: choose the sequence 6. Sequences of congruence transformations: find the rules
Checkpoint opportunity		1. Checkpoint: Congruence transformations 2. Checkpoint: Transformations in the plane
Checkpoint opportunity
1. Checkpoint: Congruence transformations 2. Checkpoint: Transformations in the plane

M2.G.CO.B Understand congruence in terms of rigid motions.
M2.G.CO.B Understand congruence in terms of rigid motions.

M2.G.CO.B.5: Given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.		1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: choose the sequence 3. Transformations that carry a polygon onto itself 4. Congruence transformations: mixed review 5. Determine if two figures are congruent: justify your answer
M2.G.CO.B.5: Given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.
1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: choose the sequence 3. Transformations that carry a polygon onto itself 4. Congruence transformations: mixed review 5. Determine if two figures are congruent: justify your answer
M2.G.CO.B.6: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.		1. Prove triangles are congruent using rigid motions
M2.G.CO.B.6: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
1. Prove triangles are congruent using rigid motions
M2.G.CO.B.7: Explain how the criteria for triangle congruence (ASA, SAS, AAS, SSS, and HL) follow from the definition of congruence in terms of rigid motions.
M2.G.CO.B.7: Explain how the criteria for triangle congruence (ASA, SAS, AAS, SSS, and HL) follow from the definition of congruence in terms of rigid motions.

Checkpoint opportunity		1. Checkpoint: Rigid motion and congruence
Checkpoint opportunity
1. Checkpoint: Rigid motion and congruence

M2.G.CO.C Use geometric theorems to justify relationships.
M2.G.CO.C Use geometric theorems to justify relationships.

M2.G.CO.C.8: Use definitions and theorems about triangles to solve problems and to justify relationships in geometric figures.		1. Construct the centroid or orthocenter of a triangle 2. Find the centroid of a triangle 3. Proofs involving triangles II
M2.G.CO.C.8: Use definitions and theorems about triangles to solve problems and to justify relationships in geometric figures.
1. Construct the centroid or orthocenter of a triangle 2. Find the centroid of a triangle 3. Proofs involving triangles II
M2.G.CO.C.9: Use definitions and theorems about parallelograms to solve problems and to justify relationships in geometric figures.		1. Properties of parallelograms 2. Proving a quadrilateral is a parallelogram 3. Properties of rhombuses 4. Properties of squares and rectangles
M2.G.CO.C.9: Use definitions and theorems about parallelograms to solve problems and to justify relationships in geometric figures.
1. Properties of parallelograms 2. Proving a quadrilateral is a parallelogram 3. Properties of rhombuses 4. Properties of squares and rectangles
Checkpoint opportunity		1. Checkpoint: Parallelogram theorems
Checkpoint opportunity
1. Checkpoint: Parallelogram theorems
M2.G.SRT Similarity, Right Triangles, and Trigonometry
M2.G.SRT.A Understand similarity in terms of similarity transformations.
M2.G.SRT.A Understand similarity in terms of similarity transformations.

M2.G.SRT.A.1: Use properties of dilations given by a center and a scale factor to solve problems and to justify relationships in geometric figures.		1. Dilations: graph the image 2. Dilations: find length, perimeter, and area 3. Dilations: find the scale factor 4. Dilations: find the scale factor and center of the dilation 5. Dilations and parallel lines
M2.G.SRT.A.1: Use properties of dilations given by a center and a scale factor to solve problems and to justify relationships in geometric figures.
1. Dilations: graph the image 2. Dilations: find length, perimeter, and area 3. Dilations: find the scale factor 4. Dilations: find the scale factor and center of the dilation 5. Dilations and parallel lines
M2.G.SRT.A.2: Define similarity in terms of transformations. Use transformations to determine whether two figures are similar.		1. Identify similar figures 2. Side lengths and angle measures in similar figures 3. Similar triangles and similarity transformations 4. Determine if two figures are similar: justify your answer
M2.G.SRT.A.2: Define similarity in terms of transformations. Use transformations to determine whether two figures are similar.
1. Identify similar figures 2. Side lengths and angle measures in similar figures 3. Similar triangles and similarity transformations 4. Determine if two figures are similar: justify your answer
Checkpoint opportunity		1. Checkpoint: Dilations 2. Checkpoint: Similarity transformations
Checkpoint opportunity
1. Checkpoint: Dilations 2. Checkpoint: Similarity transformations

M2.G.SRT.B Use similarity to solve problems and justify relationships.
M2.G.SRT.B Use similarity to solve problems and justify relationships.

M2.G.SRT.B.3: Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.		Congruent triangles 1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems 4. SSS Theorem in the coordinate plane Proofs involving congruent triangles 5. Proving triangles congruent by SSS and SAS 6. Proving triangles congruent by ASA and AAS 7. Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Proofs involving corresponding parts of congruent triangles 9. Proofs involving triangles and quadrilaterals Isosceles, equilateral, and right triangles 10. Congruency in isosceles and equilateral triangles 11. Proofs involving isosceles triangles 12. Hypotenuse-Leg Theorem Similar triangles 13. Similar triangles and indirect measurement 14. Similarity rules for triangles 15. Triangle Proportionality Theorem 16. Similarity and altitudes in right triangles Proofs involving similar triangles 17. Prove similarity statements 18. Prove proportions or angle congruences using similarity
M2.G.SRT.B.3: Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.
Congruent triangles 1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems 4. SSS Theorem in the coordinate plane Proofs involving congruent triangles 5. Proving triangles congruent by SSS and SAS 6. Proving triangles congruent by ASA and AAS 7. Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Proofs involving corresponding parts of congruent triangles 9. Proofs involving triangles and quadrilaterals Isosceles, equilateral, and right triangles 10. Congruency in isosceles and equilateral triangles 11. Proofs involving isosceles triangles 12. Hypotenuse-Leg Theorem Similar triangles 13. Similar triangles and indirect measurement 14. Similarity rules for triangles 15. Triangle Proportionality Theorem 16. Similarity and altitudes in right triangles Proofs involving similar triangles 17. Prove similarity statements 18. Prove proportions or angle congruences using similarity

M2.S	Statistics and Probability
M2.S.ID Interpreting Categorical and Quantitative Data
M2.S.ID.A Summarize, represent, and interpret data on two categorical and quantitative variables.
M2.S.ID.A Summarize, represent, and interpret data on two categorical and quantitative variables.

M2.S.ID.A.1: Represent data from two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.		1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set 4. Exponential regression
M2.S.ID.A.1: Represent data from two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.
1. Find the equation of a regression line 2. Interpret regression lines 3. Analyze a regression line of a data set 4. Exponential regression