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Essential Question: How can we model and use constant growth?
1.1 Rate of Change and Slope
Explanation:
Videos:
Khan video: Finding the slope of a line from its graph
optional: Slope and rate of change | Graphical slope of a line
Khan video: Slope from two ordered pairs example 1
optional: Slope from two ordered pairs example 2
Khan video: Interpreting linear tables word problems example 1
Khan video: Intuitive understanding of slope example
Practice Problems:
Khan Exercise: Slope from a graph
Khan 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)
1.2 Finding the Equation of Lines (using Slope-Intercept and Point-Slope Forms)
Explanation:
Khan video: Point-slope and slope-intercept form from two points
Khan video: Writing equations in all forms
Khan review: Point-slope form review
Practice Problems:
Khan Exercise: Point-slope form
1.3 Equation of parallel and perpendicular lines (secant, tangent, and normal lines)
Explanation:
Khan videos: Example: Write the equation of a perpendicular line (Example 2)
Practice Problems:
1.4 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 Models
Khan video: Correlation and causality
Spreadsheets for linear modeling
Desmos.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.
Google Sheets (the instructions are for after you create a table and scatterplot).
Practice Problems:
Khan Exercise: Eyeballing the line of best fit (Estimating the line of best-fit exercise)
Khan Exercise: Correlation coefficient intuition
Online activity: Line of Best Fit by Illuminations (Java)
1.5 Linear Piecewise Functions
Explanations:
Practice Problems:
Desmos Activity: Lava and Piecewise Functions (teacher use only)
Khan Exercise: Evaluate piecewise functions
Khan Exercise: Evaluate step functions from their graph
Khan Exercise: Piecewise functions graphs
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