Skip to content
Grade 12algebraOriginal practice

Limits Values and Rates: Practice Independently

Distinguish a limit from a function value in selected examples. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.

Continue this learning sequence

Unit goals and teaching guide →
  1. Complete practice
  2. 1. Explore
  3. 2. Practice
  4. 3. Apply

Independent activity · About 10 minutes · Pencil · Calculus

This is a fixed activity. Customize the layout, then print. Choose “Save as PDF” in your browser’s print window to keep a copy.

Page layout

0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.

Sheet C1842879 · questions and answers share this ID
Jump to practice ↓Jump to answers ↓

About this practice

Grade 12 · math · Matching answer key included · US Letter and A4

US Letter practice PDF ↓ · Answer PDF ↓A4 practice PDF ↓ · Answer PDF ↓
Preview the original practiceLimits Values and Rates: Practice Independently: first student practice page

Downloads contain the original practice. Use the workbench above for supported practice variations and custom printing.

Teaching guide, sample answers and curriculum references

Before you begin

Review the key words and representations in Limits Values and Rates. Use the Explore activity to check readiness before removing support.

How to use this worksheet

  1. Begin with: Simplify f(x) and state the excluded x value.
  2. Connect the response to: Is f(1) defined by the original formula?
  3. Ask students to apply the idea: Find the average rate of change of x² from x = 2 to x = 3.

A common mistake to discuss

Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.

What to practice next

Continue to Limits Values and Rates: Apply and Create.

Original instructional material written for this practice.

Published 2026-10-04; updated 2026-10-04. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.

Continue practicing

Limits Values and Rates: Apply and Create: first student practice pagePractice preview
Grade 12
Key

Limits Values and Rates: Apply and Create

Apply · Independent · 15 min

Distinguish a limit from a function value in selected examples. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.

Printable activity
Customize →
Limits Values and Rates: first student practice pagePractice preview
Grade 12
Key

Limits Values and Rates

Practice · Independent · 25 min

Distinguish a limit from a function value in selected examples. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.

Printable activity
Customize →
Limits Values and Rates: Explore and Explain: first student practice pagePractice preview
Grade 12
Key

Limits Values and Rates: Explore and Explain

Explore · Independent · 10 min

Distinguish a limit from a function value in selected examples. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.

Printable activity
Customize →
Calculus: Limits, Continuity & Derivative Rules: first student practice pagePractice preview
Grade 12
HSF.IF.B.4 Key

Calculus: Limits, Continuity & Derivative Rules

Practice · Independent · 15 min

Evaluate limits algebraically, compute instantaneous rates of change, and apply the Power Rule to determine derivative functions and tangent slopes.

Shuffle this practice
Customize →