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Math
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Number and Quantity: The Complex Number System (N-CN)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Making Inferences and Justifying Conclusions (S-IC)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Number and Quantity: The Complex Number System (N-CN)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Number and Quantity: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Congruence (G-CO)
- Geometry: Circles (G-C)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Geometry: Modeling with Geometry (G-MG)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Making Inferences and Justifying Conclusions (S-IC)
- Number and Quantity: The Complex Number System (N-CN)
- Number and Quantity: Vector and Matrix Quantities (N-VM)
- Algebra: Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry: Circles (G-C)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- Statistics and Probability: Using Probability to Make Decisions (S-MD)
Mississippi Math
Compacted Mathematics Grade 8 (with Algebra I): Functions: Interpreting Functions (F-IF)
Understand the concept of a function and use function notation
F-IF.1
Fully covered
- Checking if a table represents a function
- Checking if an equation represents a function
- Complete solutions to 2-variable equations
- Completing solutions to 2-variable equations
- Determining whether values are in domain of function
- Does a vertical line represent a function?
- Equations vs. functions
- Evaluate function expressions
- Evaluate functions
- Evaluate functions from their graph
- Evaluate functions from their graph
- Evaluating discrete functions
- Function inputs & outputs: equation
- Function inputs & outputs: graph
- Function rules from equations
- Function rules from equations
- Graph from slope-intercept equation
- Graph from slope-intercept form
- Graphing lines from slope-intercept form review
- Graphing slope-intercept form
- Identifying values in the domain
- Intercepts from a graph
- Intercepts from a table
- Intercepts of lines review (x-intercepts and y-intercepts)
- Intro to intercepts
- Intro to slope-intercept form
- Intro to slope-intercept form
- Linear equations word problems
- Manipulating formulas: temperature
- Obtaining a function from an equation
- Recognize functions from graphs
- Recognize functions from tables
- Recognizing functions from graph
- Recognizing functions from table
- Recognizing functions from verbal description
- Recognizing functions from verbal description word problem
- Relations and functions
- Slope-intercept equation from graph
- Slope-intercept equation from graph
- Slope-intercept equation from slope & point
- Slope-intercept equation from two points
- Slope-intercept form review
- Slope-intercept from two points
- Solutions to 2-variable equations
- Solutions to 2-variable equations
- Testing if a relationship is a function
- What is a function?
- What is the domain of a function?
- What is the range of a function?
- Worked example: domain & range of piecewise linear functions
- Worked example: domain & range of step function
- Worked example: evaluating expressions with function notation
- Worked example: Evaluating functions from equation
- Worked example: Evaluating functions from graph
- Worked example: matching an input to a function's output (equation)
- Worked example: matching an input to a function's output (graph)
- Worked example: solutions to 2-variable equations
- Worked example: two inputs with the same output (graph)
- Writing slope-intercept equations
- x-intercept of a line
F-IF.2
Fully covered
- Evaluate function expressions
- Evaluate functions
- Evaluate inverse functions
- Evaluating sequences in recursive form
- Function notation word problem: beach
- Function notation word problems
- What is a function?
- Worked example: evaluating expressions with function notation
- Worked example: Evaluating functions from equation
- Worked example: Evaluating functions from graph
- Worked example: matching an input to a function's output (equation)
- Worked example: matching an input to a function's output (graph)
- Worked example: two inputs with the same output (graph)
F-IF.3
Fully covered
- Arithmetic sequence problem
- Arithmetic sequences review
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of geometric sequences
- Converting recursive & explicit forms of geometric sequences
- Determine the domain of functions
- Determining whether values are in domain of function
- Domain and range from graph
- Evaluate sequences in recursive form
- Examples finding the domain of functions
- Explicit & recursive formulas for geometric sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for geometric sequences
- Extend arithmetic sequences
- Extend geometric sequences
- Extend geometric sequences: negatives & fractions
- Extending arithmetic sequences
- Extending geometric sequences
- Function domain word problems
- Geometric sequences review
- Identifying values in the domain
- Intro to arithmetic sequence formulas
- Intro to arithmetic sequences
- Intro to arithmetic sequences
- Intro to geometric sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for geometric sequences
- Sequences and domain
- Sequences intro
- Sequences word problems
- Sequences word problems
- Use arithmetic sequence formulas
- Use geometric sequence formulas
- Using arithmetic sequences formulas
- Using explicit formulas of geometric sequences
- Using recursive formulas of geometric sequences
- What is the domain of a function?
- Worked example: determining domain word problem (all integers)
- Worked example: determining domain word problem (positive integers)
- Worked example: determining domain word problem (real numbers)
- Worked example: domain and range from graph
- Worked example: using recursive formula for arithmetic sequence
Interpret functions that arise in applications in terms of the context
F-IF.4
Partially covered
- Analyzing graphs of exponential functions
- Analyzing graphs of exponential functions: negative initial value
- Analyzing tables of exponential functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Connecting exponential graphs with contexts
- Converting to slope-intercept form
- End behavior of algebraic models
- End behavior of algebraic models
- Graph interpretation word problem: basketball
- Graph interpretation word problem: temperature
- Graph interpretation word problems
- Interpret a quadratic graph
- Interpret a quadratic graph
- Interpret parabolas in context
- Interpreting a graph example
- Interpreting graphs of functions
- Intro to slope
- Intro to slope
- Linear equations word problems: earnings
- Linear equations word problems: graphs
- Linear equations word problems: volcano
- Linear graphs word problem: cats
- Linear graphs word problems
- Linear models word problems
- Modeling with linear equations: snow
- Periodicity of algebraic models
- Periodicity of algebraic models
- Positive & negative slope
- Quadratic word problem: ball
- Quadratic word problems (factored form)
- Quadratic word problems (factored form)
- Quadratic word problems (standard form)
- Quadratic word problems (vertex form)
- Quadratic word problems (vertex form)
- Slope & direction of a line
- Slope formula
- Slope from equation
- Slope from equation
- Slope from graph
- Slope from two points
- Slope of a horizontal line
- Slope of a line: negative slope
- Slope review
- Slope-intercept equation from graph
- Slope-intercept form review
- Slope-intercept from two points
- Slope-intercept intro
- Symmetry of algebraic models
- Symmetry of algebraic models
- Worked example: slope from graph
- Worked example: slope from two points
- Worked examples: slope-intercept intro
F-IF.5
Fully covered
- Determine the domain of functions
- Domain and range from graph
- Examples finding the domain of functions
- Function domain word problems
- Intro to rational expressions
- Modeling with linear equations: snow
- Worked example: determining domain word problem (all integers)
- Worked example: determining domain word problem (positive integers)
- Worked example: determining domain word problem (real numbers)
- Worked example: domain and range from graph
F-IF.6
Fully covered
- Average rate of change of polynomials
- Average rate of change review
- Average rate of change word problem: graph
- Average rate of change word problem: table
- Average rate of change word problems
- Average rate of change: graphs & tables
- Converting to slope-intercept form
- Finding average rate of change of polynomials
- Intro to slope
- Intro to slope
- Introduction to average rate of change
- Positive & negative slope
- Sign of average rate of change of polynomials
- Slope & direction of a line
- Slope formula
- Slope from equation
- Slope from equation
- Slope from graph
- Slope from two points
- Slope of a horizontal line
- Slope of a line: negative slope
- Slope review
- Slope-intercept equation from graph
- Slope-intercept form review
- Slope-intercept from two points
- Slope-intercept intro
- Worked example: average rate of change from graph
- Worked example: average rate of change from table
- Worked example: slope from graph
- Worked example: slope from two points
- Worked examples: slope-intercept intro
Analyze functions using different representations
F-IF.7.a
Partially covered
- Finding features of quadratic functions
- Finding the vertex of a parabola in standard form
- Graph from slope-intercept equation
- Graph from slope-intercept form
- Graph parabolas in all forms
- Graph quadratics in factored form
- Graph quadratics in vertex form
- Graphing linear relationships word problems
- Graphing lines from slope-intercept form review
- Graphing proportional relationships
- Graphing proportional relationships from a table
- Graphing proportional relationships from an equation
- Graphing proportional relationships: unit rate
- Graphing quadratics in factored form
- Graphing quadratics review
- Graphing quadratics: standard form
- Graphing slope-intercept form
- Intercepts from a graph
- Intercepts from a table
- Intercepts from an equation
- Intercepts from an equation
- Intercepts of lines review (x-intercepts and y-intercepts)
- Interpret a quadratic graph
- Interpret a quadratic graph
- Interpret parabolas in context
- Interpreting a parabola in context
- Intro to intercepts
- Intro to slope
- Intro to slope-intercept form
- Intro to slope-intercept form
- Linear functions word problem: fuel
- Linear functions word problem: pool
- Parabolas intro
- Parabolas intro
- Positive & negative slope
- Quadratic word problems (factored form)
- Quadratic word problems (vertex form)
- Rates & proportional relationships
- Rates & proportional relationships example
- Rates & proportional relationships: gas mileage
- Slope from equation
- Slope from two points
- Slope of a horizontal line
- Slope review
- Slope-intercept intro
- Vertex form introduction
- Worked example: slope from two points
- x-intercept of a line
F-IF.7.b
Mostly covered
- Absolute value graphs review
- Evaluate piecewise functions
- Graph absolute value functions
- Graphing absolute value functions
- Graphing square and cube root functions
- Graphs of square and cube root functions
- Introduction to piecewise functions
- Piecewise functions graphs
- Radical functions & their graphs
- Worked example: evaluating piecewise functions
- Worked example: graphing piecewise functions
F-IF.7.c
Fully covered
- End behavior of polynomials
- End behavior of polynomials
- Graphs of polynomials
- Graphs of polynomials: Challenge problems
- Intro to end behavior of polynomials
- Positive & negative intervals of polynomials
- Positive & negative intervals of polynomials
- Zeros of polynomials (factored form)
- Zeros of polynomials & their graphs
F-IF.7.d
Fully covered
- Discontinuities of rational functions
- End behavior of rational functions
- End behavior of rational functions
- Graphing rational functions according to asymptotes
- Graphs of rational functions
- Graphs of rational functions: horizontal asymptote
- Graphs of rational functions: vertical asymptotes
- Graphs of rational functions: y-intercept
- Graphs of rational functions: zeros
- Rational functions: zeros, asymptotes, and undefined points
F-IF.7.e
Mostly covered
- Amplitude & period of sinusoidal functions from equation
- Amplitude of sinusoidal functions from equation
- Amplitude of sinusoidal functions from graph
- Example: Graphing y=-cos(π⋅x)+1.5
- Example: Graphing y=3⋅sin(½⋅x)-2
- Exponential function graph
- Features of sinusoidal functions
- Graph of y=sin(x)
- Graph of y=tan(x)
- Graph sinusoidal functions
- Graph sinusoidal functions: phase shift
- Graphical relationship between 2ˣ and log₂(x)
- Graphing exponential functions
- Graphing exponential growth & decay
- Graphing exponential growth & decay
- Graphing logarithmic functions (example 1)
- Graphing logarithmic functions (example 2)
- Graphs of exponential functions
- Graphs of exponential growth
- Graphs of exponential growth
- Graphs of logarithmic functions
- Interpreting trigonometric graphs in context
- Intersection points of y=sin(x) and y=cos(x)
- Intro to exponential functions
- Midline of sinusoidal functions from equation
- Midline of sinusoidal functions from graph
- Midline, amplitude, and period review
- Period of sinusoidal functions from equation
- Period of sinusoidal functions from graph
- Transforming exponential graphs
- Transforming exponential graphs (example 2)
- Transforming sinusoidal graphs: vertical & horizontal stretches
- Transforming sinusoidal graphs: vertical stretch & horizontal reflection
F-IF.8.a
Fully covered
- Completing the square
- Completing the square
- Completing the square (intermediate)
- Completing the square (intro)
- Completing the square review
- Finding the vertex of a parabola in standard form
- Quadratics by factoring
- Quadratics by factoring (intro)
- Solve equations using structure
- Solving quadratics by completing the square: no solution
- Solving quadratics by factoring
- Solving quadratics by factoring
- Solving quadratics by factoring review
- Solving quadratics by factoring: leading coefficient ≠ 1
- Worked example: completing the square (leading coefficient ≠ 1)
- Worked example: Rewriting & solving equations by completing the square
- Worked example: Rewriting expressions by completing the square
F-IF.8.b
Fully covered
- Equivalent forms of exponential expressions
- Equivalent forms of exponential expressions
- Interpret change in exponential models
- Interpret change in exponential models: changing units
- Interpret change in exponential models: with manipulation
- Interpret time in exponential models
- Interpreting change in exponential models
- Interpreting change in exponential models: changing units
- Interpreting change in exponential models: with manipulation
- Interpreting time in exponential models
- Rewrite exponential expressions
- Rewriting exponential expressions as A⋅Bᵗ
F-IF.9
Fully covered
- Compare linear functions
- Compare quadratic functions
- Comparing features of quadratic functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Comparing linear functions: equation vs. graph
- Comparing linear functions: faster rate of change
- Comparing linear functions: same rate of change
- Comparing maximum points of quadratic functions