IXL skill plan | Algebra, Functions & Data Analysis plan for Richmond Public Schools

Skill plan for Richmond Public Schools - Algebra, Functions & Data Analysis

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

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1	Unit 1 Function Families & Transformations
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include

AFDA.1a: domain and range		1. Domain and range of exponential functions: graphs 2. Domain and range of logarithmic functions
AFDA.1a: domain and range
1. Domain and range of exponential functions: graphs 2. Domain and range of logarithmic functions
AFDA.1b: intervals on which the function is increasing or decreasing		1. Exponential functions over unit intervals 2. Linear functions over unit intervals
AFDA.1b: intervals on which the function is increasing or decreasing
1. Exponential functions over unit intervals 2. Linear functions over unit intervals
AFDA.1c: absolute maxima and minima		1. Find the maximum or minimum value of a quadratic function
AFDA.1c: absolute maxima and minima
1. Find the maximum or minimum value of a quadratic function
AFDA.1d: zeros AFDA.1e: intercepts		Linear functions 1. Slope-intercept form: find the slope and y-intercept 2. Standard form: find x- and y-intercepts Quadratic functions 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations
AFDA.1d: zeros AFDA.1e: intercepts
Linear functions 1. Slope-intercept form: find the slope and y-intercept 2. Standard form: find x- and y-intercepts Quadratic functions 3. Characteristics of quadratic functions: graphs 4. Characteristics of quadratic functions: equations
AFDA.1f: values of a function for elements in its domain		1. Find values using function graphs 2. Evaluate a function 3. Evaluate a function: plug in an expression
AFDA.1f: values of a function for elements in its domain
1. Find values using function graphs 2. Evaluate a function 3. Evaluate a function: plug in an expression
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs		1. Relations: convert between tables, graphs, mappings, and lists of points 2. Complete a function table from a graph 3. Complete a function table from an equation 4. Identify linear, quadratic, and exponential functions from tables
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs
1. Relations: convert between tables, graphs, mappings, and lists of points 2. Complete a function table from a graph 3. Complete a function table from an equation 4. Identify linear, quadratic, and exponential functions from tables
AFDA.1h: end behaviors AFDA.1i: vertical and horizontal asymptotes		1. Match exponential functions and graphs II
AFDA.1h: end behaviors AFDA.1i: vertical and horizontal asymptotes
1. Match exponential functions and graphs II

AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.		Transformations of functions 1. Transformations of linear functions 2. Transformations of quadratic functions 3. Function transformation rules Identify parent functions and transformations 4. Describe transformations of linear and quadratic functions
AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.
Transformations of functions 1. Transformations of linear functions 2. Transformations of quadratic functions 3. Function transformation rules Identify parent functions and transformations 4. Describe transformations of linear and quadratic functions

2	Unit 2 Linear Functions
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts

AFDA.1a: domain and range AFDA.1b: intervals on which the function is increasing or decreasing		1. Linear functions over unit intervals
AFDA.1a: domain and range AFDA.1b: intervals on which the function is increasing or decreasing
1. Linear functions over unit intervals
AFDA.1d: zeros AFDA.1e: intercepts		1. Slope-intercept form: find the slope and y-intercept 2. Standard form: find x- and y-intercepts
AFDA.1d: zeros AFDA.1e: intercepts
1. Slope-intercept form: find the slope and y-intercept 2. Standard form: find x- and y-intercepts
AFDA.1f: values of a function for elements in its domain		1. Find values using function graphs 2. Evaluate a linear function
AFDA.1f: values of a function for elements in its domain
1. Find values using function graphs 2. Evaluate a linear function
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs		Direct variation 1. Write direct variation equations 2. Write and solve direct variation equations 3. Graph a proportional relationship Slope-intercept form 4. Slope-intercept form: graph an equation 5. Slope-intercept form: write an equation from a graph 6. Slope-intercept form: write an equation 7. Slope-intercept form: write an equation from a table 8. Write a linear function: word problems Standard form 9. Standard form: graph a line from an equation Horizontal and vertical lines 10. Graph a horizontal or vertical line Point-slope form 11. Point-slope form: graph an equation 12. Point-slope form: write an equation 13. Point-slope form: write an equation from a graph Linear functions 14. Complete a table and graph a linear function 15. Compare linear functions: tables, graphs, and equations 16. Identify linear functions from tables
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs
Direct variation 1. Write direct variation equations 2. Write and solve direct variation equations 3. Graph a proportional relationship Slope-intercept form 4. Slope-intercept form: graph an equation 5. Slope-intercept form: write an equation from a graph 6. Slope-intercept form: write an equation 7. Slope-intercept form: write an equation from a table 8. Write a linear function: word problems Standard form 9. Standard form: graph a line from an equation Horizontal and vertical lines 10. Graph a horizontal or vertical line Point-slope form 11. Point-slope form: graph an equation 12. Point-slope form: write an equation 13. Point-slope form: write an equation from a graph Linear functions 14. Complete a table and graph a linear function 15. Compare linear functions: tables, graphs, and equations 16. Identify linear functions from tables

AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.		Transformations of functions 1. Transformations of linear functions 2. Function transformation rules Identify parent functions and transformations 3. Describe linear transformations
AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.
Transformations of functions 1. Transformations of linear functions 2. Function transformation rules Identify parent functions and transformations 3. Describe linear transformations

3	Unit 3 Factoring
A.2: The student will perform operations on polynomials, including
A.2: The student will perform operations on polynomials, including

A.2c: factoring completely first- and second-degree binomials and trinomials in one variable		Greatest common factor 1. GCF of monomials 2. Factor out a monomial Models 3. Factor quadratics using algebra tiles Factor quadratics 4. Factor quadratics with leading coefficient 1 5. Factor quadratics with other leading coefficients 6. Factor quadratics: special cases
A.2c: factoring completely first- and second-degree binomials and trinomials in one variable
Greatest common factor 1. GCF of monomials 2. Factor out a monomial Models 3. Factor quadratics using algebra tiles Factor quadratics 4. Factor quadratics with leading coefficient 1 5. Factor quadratics with other leading coefficients 6. Factor quadratics: special cases

AII.1: The student will
AII.1: The student will

AII.1c: factor polynomials completely in one or two variables		1. Factor using a quadratic pattern 2. Factor by grouping 3. Factor sums and differences of cubes 4. Factor polynomials
AII.1c: factor polynomials completely in one or two variables
1. Factor using a quadratic pattern 2. Factor by grouping 3. Factor sums and differences of cubes 4. Factor polynomials

4	Unit 4 Quadratic Functions
A.4: The student will solve
A.4: The student will solve

A.4b: quadratic equations in one variable algebraically		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 Completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant
A.4b: quadratic equations in one variable algebraically
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 Completing the square 4. Complete the square 5. Solve a quadratic equation by completing the square Quadratic formula 6. Solve a quadratic equation using the quadratic formula 7. Using the discriminant

AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include

AFDA.1a: domain and range AFDA.1b: intervals on which the function is increasing or decreasing AFDA.1e: intercepts		1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations
AFDA.1a: domain and range AFDA.1b: intervals on which the function is increasing or decreasing AFDA.1e: intercepts
1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations
AFDA.1c: absolute maxima and minima		1. Find the maximum or minimum value of a quadratic function 2. Find the vertex of a parabola
AFDA.1c: absolute maxima and minima
1. Find the maximum or minimum value of a quadratic function 2. Find the vertex of a parabola
AFDA.1d: zeros		1. Write a quadratic function from its zeros
AFDA.1d: zeros
1. Write a quadratic function from its zeros
AFDA.1f: values of a function for elements in its domain		1. Complete a function table: quadratic functions
AFDA.1f: values of a function for elements in its domain
1. Complete a function table: quadratic functions
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs		Graph equations 1. Graph quadratic functions in vertex form 2. Graph quadratic functions in standard form 3. Graph parabolas Write equations from graphs 4. Match quadratic functions and graphs Identify functions from tables 5. Identify linear, quadratic, and exponential functions from tables
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs
Graph equations 1. Graph quadratic functions in vertex form 2. Graph quadratic functions in standard form 3. Graph parabolas Write equations from graphs 4. Match quadratic functions and graphs Identify functions from tables 5. Identify linear, quadratic, and exponential functions from tables
AFDA.1h: end behavior		1. Identify the direction a parabola opens
AFDA.1h: end behavior
1. Identify the direction a parabola opens

AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.		Transformations of functions 1. Transformations of quadratic functions 2. Function transformation rules Identify parent functions and transformations 3. Describe transformations of linear and quadratic functions
AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.
Transformations of functions 1. Transformations of quadratic functions 2. Function transformation rules Identify parent functions and transformations 3. Describe transformations of linear and quadratic functions

5	Unit 5 Exponential & Logarithmic Functions
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include
AFDA.1: The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include

AFDA.1a: domain and range		1. Domain and range of logarithmic functions
AFDA.1a: domain and range
1. Domain and range of logarithmic functions
AFDA.1b: intervals on which a function is increasing or decreasing		1. Exponential functions over unit intervals 2. Describe linear and exponential growth and decay
AFDA.1b: intervals on which a function is increasing or decreasing
1. Exponential functions over unit intervals 2. Describe linear and exponential growth and decay
AFDA.1f: values of a function for elements in its domain		1. Evaluate exponential functions
AFDA.1f: values of a function for elements in its domain
1. Evaluate exponential functions
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs AFDA.1h: end behaviors AFDA.1i: vertical and horizontal asymptotes		Match functions and graphs 1. Match exponential functions and graphs Identify and write functions from tables 2. Identify linear and exponential functions from tables 3. Write linear and exponential functions from tables
AFDA.1g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs AFDA.1h: end behaviors AFDA.1i: vertical and horizontal asymptotes
Match functions and graphs 1. Match exponential functions and graphs Identify and write functions from tables 2. Identify linear and exponential functions from tables 3. Write linear and exponential functions from tables

AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.		1. Transformations of functions 2. Function transformation rules
AFDA.2: The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function.
1. Transformations of functions 2. Function transformation rules

6	Unit 6 Function Models
AFDA.3: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems using models of linear, quadratic, and exponential functions.		Determine line of best fit 1. Write equations for lines of best fit 2. Find the equation of a regression line Make predictions 3. Make predictions with scatter plots Solve practical problems 4. Interpret regression lines Evaluate the reasonableness of a model 5. Match correlation coefficients to scatter plots 6. Calculate correlation coefficients
AFDA.3: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems using models of linear, quadratic, and exponential functions.
Determine line of best fit 1. Write equations for lines of best fit 2. Find the equation of a regression line Make predictions 3. Make predictions with scatter plots Solve practical problems 4. Interpret regression lines Evaluate the reasonableness of a model 5. Match correlation coefficients to scatter plots 6. Calculate correlation coefficients

AFDA.4: The student will use multiple representations of functions for analysis, interpretation, and prediction.		Graph functions from equations 1. Graph a linear function 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Match exponential functions and graphs Analyze data and scatter plots 5. Create scatter plots 6. Identify trends with scatter plots 7. Outliers in scatter plots 8. Analyze a regression line of a data set
AFDA.4: The student will use multiple representations of functions for analysis, interpretation, and prediction.
Graph functions from equations 1. Graph a linear function 2. Graph a quadratic function 3. Match quadratic functions and graphs 4. Match exponential functions and graphs Analyze data and scatter plots 5. Create scatter plots 6. Identify trends with scatter plots 7. Outliers in scatter plots 8. Analyze a regression line of a data set

7	Unit 7 Linear Programming
AFDA.5: The student will determine optimal values in problem situations by identifying constraints and using linear programming techniques.		Systems of linear equations 1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Solve a system of equations using elimination 4. Solve a system of equations using augmented matrices 5. Solve a system of equations using any method Systems of linear and quadratic equations 6. Solve a system of linear and quadratic equations Systems of linear inequalities 7. Solve systems of linear inequalities by graphing 8. Find the vertices of a solution set for a system of linear inequalities 9. Linear programming
AFDA.5: The student will determine optimal values in problem situations by identifying constraints and using linear programming techniques.
Systems of linear equations 1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Solve a system of equations using elimination 4. Solve a system of equations using augmented matrices 5. Solve a system of equations using any method Systems of linear and quadratic equations 6. Solve a system of linear and quadratic equations Systems of linear inequalities 7. Solve systems of linear inequalities by graphing 8. Find the vertices of a solution set for a system of linear inequalities 9. Linear programming

8	Unit 8 Probability
AFDA.6: The student will calculate probabilities. Key concepts include
AFDA.6: The student will calculate probabilities. Key concepts include

AFDA.6a: conditional probability AFDA.6b: dependent and independent events AFDA.6c: mutually exclusive events		Independent and dependent events 1. Identify independent and dependent events 2. Probability of independent and dependent events Conditional probabilities 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables
AFDA.6a: conditional probability AFDA.6b: dependent and independent events AFDA.6c: mutually exclusive events
Independent and dependent events 1. Identify independent and dependent events 2. Probability of independent and dependent events Conditional probabilities 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables
AFDA.6d: counting techniques (permutations and combinations)		1. Counting principle 2. Permutations 3. Permutation and combination notation 4. Find probabilities using combinations and permutations
AFDA.6d: counting techniques (permutations and combinations)
1. Counting principle 2. Permutations 3. Permutation and combination notation 4. Find probabilities using combinations and permutations
AFDA.6e: Law of Large Numbers		1. Theoretical probability
AFDA.6e: Law of Large Numbers
1. Theoretical probability

9	Unit 9 Normal Distributions
AFDA.7: The student will
AFDA.7: The student will

AFDA.7a: identify and describe properties of a normal distribution
AFDA.7a: identify and describe properties of a normal distribution

AFDA.7b: interpret and compare z-scores for normally distributed data		1. Find z-values
AFDA.7b: interpret and compare z-scores for normally distributed data
1. Find z-values
AFDA.7c: apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve		1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II
AFDA.7c: apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve
1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II

10	Unit 10 Experimental Design
AFDA.8: The student will design and conduct an experiment/survey. Key concepts
AFDA.8: The student will design and conduct an experiment/survey. Key concepts

AFDA.8a: sample size AFDA.8b: sampling technique AFDA.8c: controlling sources of bias and experimental error AFDA.8d: data collection		1. Experiment design 2. Identify representative, random, and biased samples
AFDA.8a: sample size AFDA.8b: sampling technique AFDA.8c: controlling sources of bias and experimental error AFDA.8d: data collection
1. Experiment design 2. Identify representative, random, and biased samples
AFDA.8e: data analysis and reporting		1. Analyze the results of an experiment using simulations 2. Identify an outlier and describe the effect of removing it
AFDA.8e: data analysis and reporting
1. Analyze the results of an experiment using simulations 2. Identify an outlier and describe the effect of removing it