Study Guide — Exponential functions (intro)

Algebra I

Study guide for Exponential functions (intro) at standard high school depth.

What this standard means

• Recognize exponential growth and decay patterns
• Write simple exponential rules from tables
• Compare linear and exponential change
• Evaluate exponential expressions at integer inputs

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Look at differences or ratios in tables 2. Choose model based on growth pattern 3. Interpret parameters in context

_See printable PDF for diagram._

Common mistakes

• Using linear model for exponential data
• Ignoring domain restrictions

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for Exponential functions (intro).

• [ ] Identifies appropriate model type
• [ ] Writes or selects a model for data
• [ ] Interprets parameters in context

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors