IXL skill plan | Transition to College Mathematics and Statistics plan for LAUSD

Skill plan for LAUSD - Transition to College Mathematics and Statistics

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 Interpreting Categorical Data
Lesson 1 - Comparing the Risk
Pre-Investigation		Fractions 1. Multiply fractions by whole numbers: word problems 2. Equivalent fractions 3. Write fractions in lowest terms 4. Compare and order fractions 5. Add and subtract fractions 6. Add and subtract mixed numbers 7. Multiply fractions 8. Multiply mixed numbers 9. Divide fractions 10. Divide mixed numbers 11. Add, subtract, multiply, and divide fractions and mixed numbers: word problems Percents 12. What percentage is illustrated? 13. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 14. Convert fractions to percents using grid models 15. Convert between percents and fractions 16. Solve percent problems using strip models Decimals 17. Decimal numbers review 18. Compare and order decimals 19. Decimal number lines 20. Round decimals 21. Add and subtract decimals 22. Multiply decimals 23. Divide decimals 24. Add, subtract, multiply, and divide decimals: word problems 25. Convert between percents and decimals Graphs 26. Interpret bar graphs 27. Create bar graphs 28. Interpret line graphs 29. Create line graphs 30. Rate of change: graphs 31. Interpret histograms 32. Create histograms
Pre-Investigation
Fractions 1. Multiply fractions by whole numbers: word problems 2. Equivalent fractions 3. Write fractions in lowest terms 4. Compare and order fractions 5. Add and subtract fractions 6. Add and subtract mixed numbers 7. Multiply fractions 8. Multiply mixed numbers 9. Divide fractions 10. Divide mixed numbers 11. Add, subtract, multiply, and divide fractions and mixed numbers: word problems Percents 12. What percentage is illustrated? 13. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 14. Convert fractions to percents using grid models 15. Convert between percents and fractions 16. Solve percent problems using strip models Decimals 17. Decimal numbers review 18. Compare and order decimals 19. Decimal number lines 20. Round decimals 21. Add and subtract decimals 22. Multiply decimals 23. Divide decimals 24. Add, subtract, multiply, and divide decimals: word problems 25. Convert between percents and decimals Graphs 26. Interpret bar graphs 27. Create bar graphs 28. Interpret line graphs 29. Create line graphs 30. Rate of change: graphs 31. Interpret histograms 32. Create histograms

Investigation 1: Summarizing and Displaying the Risk		Numbers and operations 1. Convert between decimals and fractions 2. Add and subtract rational numbers 3. Multiply and divide rational numbers Percents 4. Convert between percents, fractions, and decimals 5. Solve percent equations 6. Percent word problems Data and graphs 7. Interpret bar graphs, line graphs, and histograms 8. Create bar graphs, line graphs, and histograms 9. Interpret circle graphs Prerequisite 10. Add, subtract, multiply, and divide integers 11. Evaluate numerical expressions involving integers 12. Evaluate variable expressions involving integers Extension 13. Evaluate numerical expressions involving rational numbers 14. Evaluate variable expressions involving rational numbers Optional 15. Relations: convert between tables, graphs, mappings, and lists of points
Investigation 1: Summarizing and Displaying the Risk
Numbers and operations 1. Convert between decimals and fractions 2. Add and subtract rational numbers 3. Multiply and divide rational numbers Percents 4. Convert between percents, fractions, and decimals 5. Solve percent equations 6. Percent word problems Data and graphs 7. Interpret bar graphs, line graphs, and histograms 8. Create bar graphs, line graphs, and histograms 9. Interpret circle graphs Prerequisite 10. Add, subtract, multiply, and divide integers 11. Evaluate numerical expressions involving integers 12. Evaluate variable expressions involving integers Extension 13. Evaluate numerical expressions involving rational numbers 14. Evaluate variable expressions involving rational numbers Optional 15. Relations: convert between tables, graphs, mappings, and lists of points

Investigation 2: Comparing Risk		Percents 1. Percent of change 2. Percent of change: word problems 3. Percent of change: find the original amount word problems Fractions 4. Simplify complex fractions
Investigation 2: Comparing Risk
Percents 1. Percent of change 2. Percent of change: word problems 3. Percent of change: find the original amount word problems Fractions 4. Simplify complex fractions

Investigation 3: Design of Experiments		Probability 1. Find probabilities using two-way frequency tables 2. Find conditional probabilities using two-way frequency tables Statistics 3. Identify biased samples 4. Experiment design
Investigation 3: Design of Experiments
Probability 1. Find probabilities using two-way frequency tables 2. Find conditional probabilities using two-way frequency tables Statistics 3. Identify biased samples 4. Experiment design

Review		Percents 1. Find what percent one number is of another 2. Percents of numbers and money amounts Equations 3. Rearrange multi-variable equations Linear functions 4. Write a linear function from a table Expressions 5. Evaluate absolute value expressions 6. Evaluate radical expressions 7. Evaluate multi-variable expressions with exponents Simple interest 8. Simple interest
Review
Percents 1. Find what percent one number is of another 2. Percents of numbers and money amounts Equations 3. Rearrange multi-variable equations Linear functions 4. Write a linear function from a table Expressions 5. Evaluate absolute value expressions 6. Evaluate radical expressions 7. Evaluate multi-variable expressions with exponents Simple interest 8. Simple interest
Lesson 2 - A Test of Significance
Investigation 1: Homogeneous Groups		Ratios, rates, and proportions 1. Identify equivalent ratios 2. Write an equivalent ratio 3. Solve proportions 4. Solve proportions: word problems Extension 5. Scale drawings: word problems
Investigation 1: Homogeneous Groups
Ratios, rates, and proportions 1. Identify equivalent ratios 2. Write an equivalent ratio 3. Solve proportions 4. Solve proportions: word problems Extension 5. Scale drawings: word problems

Investigation 2: The Chi-Squared Statistic		Prerequisite 1. Mean, median, mode, and range Extension 2. Analyze the results of an experiment using simulations Optional for Work Discrimination Supplement 3. Identify an outlier 4. Identify an outlier and describe the effect of removing it
Investigation 2: The Chi-Squared Statistic
Prerequisite 1. Mean, median, mode, and range Extension 2. Analyze the results of an experiment using simulations Optional for Work Discrimination Supplement 3. Identify an outlier 4. Identify an outlier and describe the effect of removing it

Investigation 3: Statistical Significance
Investigation 3: Statistical Significance


Review		Probability 1. Probability of simple events 2. Make predictions Compound interest 3. Compound interest Inverse variation 4. Identify direct variation and inverse variation 5. Write inverse variation equations 6. Write and solve inverse variation equations
Review
Probability 1. Probability of simple events 2. Make predictions Compound interest 3. Compound interest Inverse variation 4. Identify direct variation and inverse variation 5. Write inverse variation equations 6. Write and solve inverse variation equations
Lesson 3 - The Relationship Between Two Variables
Investigation 1: Diagnostic Testing		Probability 1. Calculate probabilities of events 2. Find probabilities using two-way frequency tables Prerequisite 3. Identify probability distributions
Investigation 1: Diagnostic Testing
Probability 1. Calculate probabilities of events 2. Find probabilities using two-way frequency tables Prerequisite 3. Identify probability distributions

Investigation 2: Independence		Probability 1. Identify independent events 2. Probability of independent and dependent events 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables
Investigation 2: Independence
Probability 1. Identify independent events 2. Probability of independent and dependent events 3. Find conditional probabilities 4. Independence and conditional probability 5. Find conditional probabilities using two-way frequency tables

Investigation 3: The Chi-Squared Test of Independence		Probability distributions 1. Write a discrete probability distribution 2. Graph a discrete probability distribution 3. Expected values of random variables
Investigation 3: The Chi-Squared Test of Independence
Probability distributions 1. Write a discrete probability distribution 2. Graph a discrete probability distribution 3. Expected values of random variables

Review		Angle measures and the unit circle 1. Graphs of angles 2. Quadrants 3. Find trigonometric ratios using the unit circle Linear functions 4. Write linear functions: word problems 5. Evaluate a linear function: word problems Equations 6. Solve linear equations with variables on both sides 7. Solve linear equations with variables on one side Scatterplots and regression lines 8. Interpret a scatter plot 9. Find the equation of a regression line 10. Interpret regression lines Exponential decay 11. Exponential decay: word problems
Review
Angle measures and the unit circle 1. Graphs of angles 2. Quadrants 3. Find trigonometric ratios using the unit circle Linear functions 4. Write linear functions: word problems 5. Evaluate a linear function: word problems Equations 6. Solve linear equations with variables on both sides 7. Solve linear equations with variables on one side Scatterplots and regression lines 8. Interpret a scatter plot 9. Find the equation of a regression line 10. Interpret regression lines Exponential decay 11. Exponential decay: word problems

2	Unit 2 Functions and Modeling Change
Lesson 1 - Function Models Revisited
Pre-Investigation		Linear functions 1. Identify linear functions from graphs and equations 2. Identify linear functions from tables 3. Find the slope of a graph Exponents 4. Powers with integer bases 5. Negative exponents 6. Multiplication rule for exponents 7. Division rule for exponents 8. Power rule for exponents Extension 9. Find the slope from two points 10. Find a missing coordinate using slope 11. Powers with decimal and fractional bases 12. Evaluate expressions using exponent rules Optional for % Discount Supplement 13. Percent of a number: tax, discount, and more 14. Find the percent: tax, discount, and more 15. Multi-step problems with percents
Pre-Investigation
Linear functions 1. Identify linear functions from graphs and equations 2. Identify linear functions from tables 3. Find the slope of a graph Exponents 4. Powers with integer bases 5. Negative exponents 6. Multiplication rule for exponents 7. Division rule for exponents 8. Power rule for exponents Extension 9. Find the slope from two points 10. Find a missing coordinate using slope 11. Powers with decimal and fractional bases 12. Evaluate expressions using exponent rules Optional for % Discount Supplement 13. Percent of a number: tax, discount, and more 14. Find the percent: tax, discount, and more 15. Multi-step problems with percents

Investigation 1: Modeling Atmospheric Change		Linear functions 1. Slope-intercept form: find the slope and y-intercept 2. Slope-intercept form: graph an equation 3. Slope-intercept form: write an equation from a graph 4. Slope-intercept form: write an equation 5. Write a linear function: word problems 6. Linear equations: solve for y Exponential functions 7. Evaluate an exponential function 8. Exponential growth and decay: word problems 9. Identify linear and exponential functions from graphs Linear and exponential functions 10. Identify linear and exponential functions from tables 11. Write linear and exponential functions from tables Logarithms 12. Convert between exponential and logarithmic form: rational bases 13. Evaluate logarithms 14. Power property of logarithms Extension 15. Slope-intercept form: write an equation from a table 16. Compound interest: word problems 17. Describe linear and exponential growth and decay 18. Convert between natural exponential and logarithmic form 19. Convert between exponential and logarithmic form: all bases 20. Evaluate natural logarithms
Investigation 1: Modeling Atmospheric Change
Linear functions 1. Slope-intercept form: find the slope and y-intercept 2. Slope-intercept form: graph an equation 3. Slope-intercept form: write an equation from a graph 4. Slope-intercept form: write an equation 5. Write a linear function: word problems 6. Linear equations: solve for y Exponential functions 7. Evaluate an exponential function 8. Exponential growth and decay: word problems 9. Identify linear and exponential functions from graphs Linear and exponential functions 10. Identify linear and exponential functions from tables 11. Write linear and exponential functions from tables Logarithms 12. Convert between exponential and logarithmic form: rational bases 13. Evaluate logarithms 14. Power property of logarithms Extension 15. Slope-intercept form: write an equation from a table 16. Compound interest: word problems 17. Describe linear and exponential growth and decay 18. Convert between natural exponential and logarithmic form 19. Convert between exponential and logarithmic form: all bases 20. Evaluate natural logarithms

Investigation 2: Modeling Change in Business Prospect		Relations and functions 1. Evaluate a function: plug in an expression 2. Add and subtract functions 3. Evaluate a linear function from its graph: word problems 4. Interpret functions using everyday language Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Characteristics of quadratic functions: equations 7. Complete a function table: quadratic functions Linear, quadratic, and exponential functions 8. Identify linear, quadratic, and exponential functions from graphs 9. Identify linear, quadratic, and exponential functions from tables 10. Write linear, quadratic, and exponential functions from tables Extension 11. Multiply functions
Investigation 2: Modeling Change in Business Prospect
Relations and functions 1. Evaluate a function: plug in an expression 2. Add and subtract functions 3. Evaluate a linear function from its graph: word problems 4. Interpret functions using everyday language Quadratic functions 5. Characteristics of quadratic functions: graphs 6. Characteristics of quadratic functions: equations 7. Complete a function table: quadratic functions Linear, quadratic, and exponential functions 8. Identify linear, quadratic, and exponential functions from graphs 9. Identify linear, quadratic, and exponential functions from tables 10. Write linear, quadratic, and exponential functions from tables Extension 11. Multiply functions

Investigation 3: Modeling Periodic Change		Trigonometric functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph sine functions 5. Graph translations of sine functions 6. Find properties of cosine functions 7. Write equations of cosine functions from graphs 8. Write equations of cosine functions using properties 9. Graph cosine functions 10. Graph translations of cosine functions 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions Prerequisite 13. Convert between radians and degrees
Investigation 3: Modeling Periodic Change
Trigonometric functions 1. Find properties of sine functions 2. Write equations of sine functions from graphs 3. Write equations of sine functions using properties 4. Graph sine functions 5. Graph translations of sine functions 6. Find properties of cosine functions 7. Write equations of cosine functions from graphs 8. Write equations of cosine functions using properties 9. Graph cosine functions 10. Graph translations of cosine functions 11. Graph sine and cosine functions 12. Graph translations of sine and cosine functions Prerequisite 13. Convert between radians and degrees

Investigation 4: Function Families		Linear 1. Find the slope of a linear function 2. Graph a linear function 3. Write the equation of a linear function Power/Exponential 4. Domain and range of exponential functions: graphs 5. Domain and range of exponential functions: equations 6. Domain and range of logarithmic functions 7. Evaluate exponential functions 8. Match exponential functions and graphs Quadratic 9. Write a quadratic function in vertex form 10. Graph quadratic functions in standard form 11. Match quadratic functions and graphs 12. Write a quadratic function in vertex form from its vertex and another point 13. Characteristics of quadratic functions: graphs 14. Characteristics of quadratic functions: equations 15. Graph a quadratic function 16. Solve a quadratic equation by factoring 17. Write a quadratic function from its zeros Trigonometric 18. Find properties of sine functions 19. Write equations of sine functions from graphs 20. Write equations of sine functions using properties 21. Graph sine functions 22. Graph translations of sine functions 23. Find properties of cosine functions 24. Write equations of cosine functions from graphs 25. Write equations of cosine functions using properties 26. Graph cosine functions 27. Graph translations of cosine functions 28. Graph sine and cosine functions 29. Graph translations of sine and cosine functions Inverse 30. Find values of inverse functions from tables 31. Find values of inverse functions from graphs 32. Find inverse functions and relations Prerequisite 33. Domain and range 34. Evaluate functions 35. Find values using function graphs 36. Complete a table for a function graph 37. Solve a quadratic equation using the zero product property 38. Identify inverse functions Extension 39. Solve exponential equations using common logarithms 40. Solve exponential equations using natural logarithms 41. Solve logarithmic equations I 42. Solve logarithmic equations II
Investigation 4: Function Families
Linear 1. Find the slope of a linear function 2. Graph a linear function 3. Write the equation of a linear function Power/Exponential 4. Domain and range of exponential functions: graphs 5. Domain and range of exponential functions: equations 6. Domain and range of logarithmic functions 7. Evaluate exponential functions 8. Match exponential functions and graphs Quadratic 9. Write a quadratic function in vertex form 10. Graph quadratic functions in standard form 11. Match quadratic functions and graphs 12. Write a quadratic function in vertex form from its vertex and another point 13. Characteristics of quadratic functions: graphs 14. Characteristics of quadratic functions: equations 15. Graph a quadratic function 16. Solve a quadratic equation by factoring 17. Write a quadratic function from its zeros Trigonometric 18. Find properties of sine functions 19. Write equations of sine functions from graphs 20. Write equations of sine functions using properties 21. Graph sine functions 22. Graph translations of sine functions 23. Find properties of cosine functions 24. Write equations of cosine functions from graphs 25. Write equations of cosine functions using properties 26. Graph cosine functions 27. Graph translations of cosine functions 28. Graph sine and cosine functions 29. Graph translations of sine and cosine functions Inverse 30. Find values of inverse functions from tables 31. Find values of inverse functions from graphs 32. Find inverse functions and relations Prerequisite 33. Domain and range 34. Evaluate functions 35. Find values using function graphs 36. Complete a table for a function graph 37. Solve a quadratic equation using the zero product property 38. Identify inverse functions Extension 39. Solve exponential equations using common logarithms 40. Solve exponential equations using natural logarithms 41. Solve logarithmic equations I 42. Solve logarithmic equations II

Review		Functions 1. Identify functions 2. Identify functions: vertical line test Trigonometric ratios 3. Sin, cos, and tan of special angles Unit conversions 4. Multi-step problems with unit conversions
Review
Functions 1. Identify functions 2. Identify functions: vertical line test Trigonometric ratios 3. Sin, cos, and tan of special angles Unit conversions 4. Multi-step problems with unit conversions
Lesson 2 - Customizing Models by Translation and Reflection
Investigation 1: Vertical Translation		Linear functions 1. Standard form: find x- and y-intercepts 2. Standard form: graph a line from an equation Quadratic functions 3. Transformations of quadratic functions 4. Graph quadratic functions in vertex form 5. Find the maximum or minimum value of a quadratic function Absolute value functions 6. Complete a function table: absolute value functions 7. Graph an absolute value function 8. Domain and range of absolute value functions: graphs 9. Domain and range of absolute value functions: equations Function transformations 10. Translations of functions 11. Function transformation rules 12. Vertical translations of functions
Investigation 1: Vertical Translation
Linear functions 1. Standard form: find x- and y-intercepts 2. Standard form: graph a line from an equation Quadratic functions 3. Transformations of quadratic functions 4. Graph quadratic functions in vertex form 5. Find the maximum or minimum value of a quadratic function Absolute value functions 6. Complete a function table: absolute value functions 7. Graph an absolute value function 8. Domain and range of absolute value functions: graphs 9. Domain and range of absolute value functions: equations Function transformations 10. Translations of functions 11. Function transformation rules 12. Vertical translations of functions

Investigation 2: Reflection Across the X-axis		Function transformations 1. Reflections of functions across the x-axis
Investigation 2: Reflection Across the X-axis
Function transformations 1. Reflections of functions across the x-axis

Investigation 3: Horizontal Translation		Function transformations 1. Horizontal translations of functions
Investigation 3: Horizontal Translation
Function transformations 1. Horizontal translations of functions

Review		Inequalities 1. Graph solutions to linear inequalities 2. Graph solutions to quadratic inequalities Transformations 3. Congruence transformations: mixed review 4. Sequences of congruence transformations: graph the image 5. Sequences of congruence transformations: find the rules 6. Dilations: graph the image Piecewise functions 7. Evaluate piecewise-defined functions 8. Graph piecewise-defined functions Box plots 9. Calculate quartiles and interquartile range 10. Box plots
Review
Inequalities 1. Graph solutions to linear inequalities 2. Graph solutions to quadratic inequalities Transformations 3. Congruence transformations: mixed review 4. Sequences of congruence transformations: graph the image 5. Sequences of congruence transformations: find the rules 6. Dilations: graph the image Piecewise functions 7. Evaluate piecewise-defined functions 8. Graph piecewise-defined functions Box plots 9. Calculate quartiles and interquartile range 10. Box plots
Lesson 3 - Customizing Models by Stretching and Compressing
Investigation 1: Vertical Stretching and Compressing		Function transformations 1. Vertical dilations of absolute value functions
Investigation 1: Vertical Stretching and Compressing
Function transformations 1. Vertical dilations of absolute value functions

Investigation 2: Horizontal Stretching and Compressing		Function transformations 1. Dilations of functions Extension 2. Transformations of functions 3. Describe function transformations
Investigation 2: Horizontal Stretching and Compressing
Function transformations 1. Dilations of functions Extension 2. Transformations of functions 3. Describe function transformations

Review		Probability 1. Probability of compound events Scale drawings 2. Scale drawings: word problems Right triangle trigonometry 3. Trigonometric ratios: find a side length 4. Trigonometric ratios: find an angle measure 5. Solve a right triangle Statistics 6. Mean and median Circles 7. Central angles and arc measures 8. Arcs and chords 9. Inscribed angles
Review
Probability 1. Probability of compound events Scale drawings 2. Scale drawings: word problems Right triangle trigonometry 3. Trigonometric ratios: find a side length 4. Trigonometric ratios: find an angle measure 5. Solve a right triangle Statistics 6. Mean and median Circles 7. Central angles and arc measures 8. Arcs and chords 9. Inscribed angles

3	Unit 3 Counting Methods
Lesson 1 - Systematic Counting
Investigation 1: Methods of Counting		Combinations 1. Combinations Compound events 2. Compound events: find the number of outcomes 3. Compound events: find the number of sums 4. Outcomes of compound events
Investigation 1: Methods of Counting
Combinations 1. Combinations Compound events 2. Compound events: find the number of outcomes 3. Compound events: find the number of sums 4. Outcomes of compound events

Investigation 2: Principles of Counting		Counting principle 1. Counting principle
Investigation 2: Principles of Counting
Counting principle 1. Counting principle

Review		Scientific notation 1. Convert between standard and scientific notation 2. Scientific notation on calculators Two-way tables 3. Find probabilities using two-way frequency tables 4. Find conditional probabilities using two-way frequency tables Transformations 5. Function transformation rules 6. Transformations of functions 7. Describe function transformations Volume 8. Volume of prisms and cylinders 9. Volume of pyramids and cones 10. Volume of spheres Writing equations 11. Write the equation of a linear function 12. Equations of parallel and perpendicular lines 13. Write a quadratic function in vertex form from its vertex and another point
Review
Scientific notation 1. Convert between standard and scientific notation 2. Scientific notation on calculators Two-way tables 3. Find probabilities using two-way frequency tables 4. Find conditional probabilities using two-way frequency tables Transformations 5. Function transformation rules 6. Transformations of functions 7. Describe function transformations Volume 8. Volume of prisms and cylinders 9. Volume of pyramids and cones 10. Volume of spheres Writing equations 11. Write the equation of a linear function 12. Equations of parallel and perpendicular lines 13. Write a quadratic function in vertex form from its vertex and another point
Lesson 2 - Order and Repetition
Investigation 1: Permutations and Combinations		Word problems 1. Permutations I 2. Permutations II 3. Combinations II Permutation and combination formulas 4. Permutation notation 5. Combination notation 6. Combinations and permutations Prerequisite 7. Factorials
Investigation 1: Permutations and Combinations
Word problems 1. Permutations I 2. Permutations II 3. Combinations II Permutation and combination formulas 4. Permutation notation 5. Combination notation 6. Combinations and permutations Prerequisite 7. Factorials

Investigation 2: Collections, Sequences, This or That		Word problems 1. Combinations and permutations: word problems Prerequisite 2. Sets, subsets, and complements
Investigation 2: Collections, Sequences, This or That
Word problems 1. Combinations and permutations: word problems Prerequisite 2. Sets, subsets, and complements

Review		Systems of equations 1. Solve a system of equations by graphing: word problems 2. Solve a system of equations using any method: word problems Quadratics 3. Factor quadratics Transversals 4. Transversals of parallel lines: find angle measures Fractions 5. Add positive and negative fractions 6. Evaluate numerical expressions involving fractions Binomials 7. Multiply two binomials using algebra tiles 8. Multiply two binomials 9. Multiply two binomials: special cases
Review
Systems of equations 1. Solve a system of equations by graphing: word problems 2. Solve a system of equations using any method: word problems Quadratics 3. Factor quadratics Transversals 4. Transversals of parallel lines: find angle measures Fractions 5. Add positive and negative fractions 6. Evaluate numerical expressions involving fractions Binomials 7. Multiply two binomials using algebra tiles 8. Multiply two binomials 9. Multiply two binomials: special cases
Lesson 3 - Counting Throughout Mathematics
Investigation 1: Counting and Probability		Prerequisite 1. Sample spaces for compound events Counting and Probability 2. Find probabilities using combinations and permutations
Investigation 1: Counting and Probability
Prerequisite 1. Sample spaces for compound events Counting and Probability 2. Find probabilities using combinations and permutations

Investigation 2: Combinations, the Binomial Theorem, and Pascal's Triangle		Pascal's triangle and the Binomial Theorem 1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II
Investigation 2: Combinations, the Binomial Theorem, and Pascal's Triangle
Pascal's triangle and the Binomial Theorem 1. Pascal's triangle 2. Pascal's triangle and the Binomial Theorem 3. Binomial Theorem I 4. Binomial Theorem II

Review		Probability 1. Identify independent events 2. Find conditional probabilities 3. Independence and conditional probability 4. Find probabilities using the addition rule Ratios, proportions, and percents 5. Word problems with ratios and percents 6. Estimate population size using proportions Roots 7. Estimate positive and negative square roots 8. Estimate cube roots Logarithms 9. Evaluate logarithms Equations 10. Solve linear equations 11. Solve rational equations Pythagorean theorem 12. Pythagorean theorem Functions 13. Graph sine and cosine functions 14. Domain and range
Review
Probability 1. Identify independent events 2. Find conditional probabilities 3. Independence and conditional probability 4. Find probabilities using the addition rule Ratios, proportions, and percents 5. Word problems with ratios and percents 6. Estimate population size using proportions Roots 7. Estimate positive and negative square roots 8. Estimate cube roots Logarithms 9. Evaluate logarithms Equations 10. Solve linear equations 11. Solve rational equations Pythagorean theorem 12. Pythagorean theorem Functions 13. Graph sine and cosine functions 14. Domain and range

4	Unit 4 Mathematics of Financial Decision-Making
Lesson 1 - Financial Decision-Making: Saving
Investigation 1: Simple-Interest Investments		Simple interest 1. Simple interest 2. Simple interest: find the future value 3. Simple interest: find the interest rate
Investigation 1: Simple-Interest Investments
Simple interest 1. Simple interest 2. Simple interest: find the future value 3. Simple interest: find the interest rate

Investigation 2: Compound-Interest Investments		Compound interest 1. Compound interest: find the future value 2. Compound interest: find the interest earned 3. Compound interest: find the interest rate
Investigation 2: Compound-Interest Investments
Compound interest 1. Compound interest: find the future value 2. Compound interest: find the interest earned 3. Compound interest: find the interest rate

Investigation 3: Investment Strategies and Tools		Compound interest 1. Compound interest: word problems
Investigation 3: Investment Strategies and Tools
Compound interest 1. Compound interest: word problems

Investigation 4: Compound Interest and the Number e		Continuously compounded interest 1. Continuously compounded interest: find the future value 2. Continuously compounded interest: find the interest earned 3. Continuously compounded interest: find the interest rate 4. Continuously compounded interest: word problems Prerequisite 5. Solve exponential equations using logarithms
Investigation 4: Compound Interest and the Number e
Continuously compounded interest 1. Continuously compounded interest: find the future value 2. Continuously compounded interest: find the interest earned 3. Continuously compounded interest: find the interest rate 4. Continuously compounded interest: word problems Prerequisite 5. Solve exponential equations using logarithms

Review		Percents 1. Percent of change: word problems 2. Multi-step problems with percents Logarithms 3. Product property of logarithms 4. Quotient property of logarithms 5. Power property of logarithms 6. Evaluate logarithms using properties Geometric sequences 7. Find terms of a geometric sequence 8. Write a formula for a geometric sequence 9. Find the sum of a finite geometric series Correlation 10. Identify lines of best fit 11. Match correlation coefficients to scatter plots 12. Calculate correlation coefficients Functions and expressions 13. Evaluate functions 14. Evaluate multi-variable expressions with exponents
Review
Percents 1. Percent of change: word problems 2. Multi-step problems with percents Logarithms 3. Product property of logarithms 4. Quotient property of logarithms 5. Power property of logarithms 6. Evaluate logarithms using properties Geometric sequences 7. Find terms of a geometric sequence 8. Write a formula for a geometric sequence 9. Find the sum of a finite geometric series Correlation 10. Identify lines of best fit 11. Match correlation coefficients to scatter plots 12. Calculate correlation coefficients Functions and expressions 13. Evaluate functions 14. Evaluate multi-variable expressions with exponents