Math Analysis‎ > ‎

### Linear Functions

 Essential Question: How can we model and use constant growth?1) Function NotationExplanation:Practice Problems:Worksheet #1Khan Exercise: Evaluating functionsKhan Exercise: Matching inputs to function outputsKhan Exercise: Match function inputs to outputs from a graph2)  Simplify Linear Expressions and Solving Linear EquationPractice Problems:Worksheet #1 3) Rate of Change and Slope Explanation: Notes | Annotated Videos:   Real meaning of MPHKhan video: Finding the slope of a line from its graph optional: Slope and rate of change | Graphical slope of a lineKhan video: Slope from two ordered pairs example 1 optional: Slope from two ordered pairs example 2Khan video: Interpreting linear tables word problems example 1Khan video: Intuitive understanding of slope example Practice Problems:Khan Exercise: Slope from a graphKhan Exercise: Slope from two solutions (points) Hint: type everything into the graphing calculator; press Enter, then press Math, select 1:Frac, and Enter; example (17.4-23.5)/(4.1-6.2)Worksheet #1  Worksheet #2 | Answers 4)  Finding the Equation of Lines (using Slope-Intercept and Point-Slope Forms) Explanation: Notes | AnnotatedKhan video: Point-slope and slope-intercept form from two points Khan video: Writing equations in all formsKhan review: Point-slope form review Practice Problems: Khan Exercise: Point-slope formWorksheet #1 Worksheet #2 | Answers 5) Finding the equation of lines that are parallel and perpendicular to a given lineExplanation:Notes | AnnotatedKhan videos: Example: Write the equation of a perpendicular line (Example 2)Practice Problems:Khan Practice - Equations of parallel and perpendicular lines Worksheet #1 | AnswersWorksheet #2 | Answers6) Lines that Intersect Curves (Secant, Tangent, and Normal Lines) Explanation Practice Problems 7)  Best-Fit Line and Line of Regression Explanation: Khan video: Fitting a line to data (using Excel) Khan video (for the writing prompt):  Predicting Linear ModelsKhan video: Correlation and causalitySpreadsheets for linear modelingDesmos.com (click the question mark in the upper right-hand corner then Regressions for a brief tutorial).  Basically, press + and select the table.  Then type in the table values.  Next press + and select the expression. Then type y1~mx1+b.Texas Instrument Graphing CalculatorsGoogle Sheets (the instructions are for after you create a table and scatterplot). Khan video on using Excel Practice Problems: Worksheet #1 Worksheet #2Khan Exercise: Eyeballing the line of best fit (Estimating the line of best-fit exercise)Khan Exercise: Correlation coefficient intuitionOnline activity: Line of Best Fit by Illuminations (Java)8) Writing Piecewise FunctionsExplanations:Notes | AnnotatedKhan video: Introduction to piecewise functionsPractice Problems:Desmos Activity: Lava and Piecewise Functions (teacher use only)Worksheet #1 Worksheet #2 | Answers9)  Graphing and Using Piecewise FunctionsExplanations:Practice Problems:Worksheet #1Worksheet #2 | AnswersKhan exercise: Evaluate step functions from their graph10)  Review