# All Lessons

## Analyze Quadratic Function Forms

(B) Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c)

A1.7.B(B) Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

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## Graph Piecewise Functions

(F) Graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions

PCAL.2.I(I) Determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing

QR.3.E(E) Determine or analyze an appropriate piecewise model for problem situations

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## Graph Square Root and Cube Root Functions

(C) Determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d

A2.6.A(A) Analyze the effect on the graphs of f(x) = x3 and f(x) = 3√x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d

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## Use the Mean and Standard Deviation to Estimate Population Percentages

(B) Determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points

MM.9.B(B) Analyze numerical data using measures of central tendency (mean, median, and mode) and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions

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## Calculate and Interpret Types of Relative Frequencies

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## Compare Data Sets

(Y9) Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283)

ACMSP249(Y10) Construct and interpret box plots and use them to compare data sets (ACMSP249)

ACMSP278(Y10A) Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278)

ACMEM057(Y11-12) Compare back-to-back stem plots for different datasets (ACMEM057)

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## Determine and Interpret Nonlinear Lines of Best Fit

(B) Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

A1.9.E(E) Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.