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Study Guide — Exponential patterns and function comparisons

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Algebra I · Honors

Honors-depth study guide for Exponential patterns and function comparisons.

What this standard means

  • Write exponential rules from tables and contexts
  • Compare linear and exponential models
  • Interpret growth and decay factors
  • 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 patterns and function comparisons.

  • [ ] 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

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