Evaluating Linear Functions Guided Notes for Grade 9
A guided-notes packet for 9th graders covering vocabulary, function notation, and evaluating linear functions both algebraically and from graphs, designed to be filled in while following a teacher-led lesson. Students practice translating the vending machine analogy into f(x) notation, evaluating expressions and functions, and reading function values from graphs, with worked examples modeled on the class homework.
Teacher Guide & Tips
- Use this as a single 45 to 60 minute lesson as you introduce the new unit, projecting the notes and having students fill in blanks as you narrate, since they won't receive a copy and only need to capture key ideas.
- Discussion question: Why does f(2) mean we substitute 2 for x, and how is that different from writing f = 2?
- Scaffold for struggling readers: Pause after the vending machine connection and have them restate the rule in their own words, then map it to f(x) notation before moving to the algebra examples.
- Extension for advanced students: Ask them to write a function whose output is the same at two different inputs and explain how this shows up on the graph.
- Time estimate: About 10 minutes for vocabulary and notation, 15 minutes for evaluating expressions and functions, 10 minutes for the hard example, and 15 minutes for the three graph examples.
Evaluating Linear Functions Guided Notes for Grade 9
A guided-notes packet for 9th graders covering vocabulary, function notation, and evaluating linear functions both algebraically and from graphs, designed to be filled in while following a teacher-led lesson. Students practice translating the vending machine analogy into f(x) notation, evaluating expressions and functions, and reading function values from graphs, with worked examples modeled on the class homework.
Teacher Guide & Tips
- Use this as a single 45 to 60 minute lesson as you introduce the new unit, projecting the notes and having students fill in blanks as you narrate, since they won't receive a copy and only need to capture key ideas.
- Discussion question: Why does f(2) mean we substitute 2 for x, and how is that different from writing f = 2?
- Scaffold for struggling readers: Pause after the vending machine connection and have them restate the rule in their own words, then map it to f(x) notation before moving to the algebra examples.
- Extension for advanced students: Ask them to write a function whose output is the same at two different inputs and explain how this shows up on the graph.
- Time estimate: About 10 minutes for vocabulary and notation, 15 minutes for evaluating expressions and functions, 10 minutes for the hard example, and 15 minutes for the three graph examples.