Topic 01 · Linear Functions
Unit 1 · Topic 01 · Linear Functions
Linear Functions and Problem Solving
Functions, slope, and linear modeling — plus the Excel moves (formulas, cell references, basic graphs) you'll lean on the rest of the term.
Lessons
6 lessons · each with a video, a worked example and practice-
3:27
Lesson 1: What is a function?A function is one of the simplest, most useful ideas in math, and you've been using them your whole life without knowing the name.
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3:09
Lesson 2: Two ways to reasonEvery problem you solve uses one of two reasoning moves. Knowing which is which makes you a sharper thinker, in math, and in everything else.
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3:13
Lesson 3: Close enoughRounding makes hard numbers easy. Estimation strings them together to predict, and protect you from, every total you'll ever calculate.
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3:01
Lesson 4: Slope as a rate of changeEvery "per" you've ever said (dollars per hour, miles per gallon, feet per second) is a slope. It's how mathematicians measure change.
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3:02
Lesson 5: Linear modeling and predictionA linear model is just slope plus a starting point. It's everything you've learned in this topic, packed into a single line of math, and it's how a number becomes a forecast.
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3:18
Lesson 6: Spreadsheets, the finaleYou learned the math. Now learn to automate it. A spreadsheet is just a giant grid of functions, and you already know how to write functions.
Then
the rest of the week
Discussion
DQ 1: Discussion
Walkthrough, posting rhythm, and what the DQ is really asking.
Discussion
DQ 2: Discussion
Walkthrough, posting rhythm, and what the DQ is really asking.
6 questions
Review
Six worked questions to practice before ALEKS.
Self-check
Mastery Check
4 quick questions - 2 multiple choice, 2 calculations. Perfect score earns one substantive participation post.
What you'll learn
What you'll learn
- Explore the basics of functions and their uses.
- Use spreadsheet applications: functions, cell references, and basic graphing.
- Use rounding and estimation to solve application problems.
- Apply deductive and inductive reasoning to solve problems.
- Define the slope as a rate of change.
- Use linear modeling to predict outcomes from data.