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Lesson set4 steps7 concepts

Functions and Change Lesson Set

Use the functions topic page, the existing graph-first starter track, one accumulation checkpoint, and the calculus topic page so the early math branch stays compact for a teacher-led lesson block.

Open topic pageBrowse collections

About this guided path

Open the authored rationale, highlights, and educator framing only when you need more context than the next step.

The topic page frames the parent-curve, rational-behavior, and exponential-change branch first, the starter track preserves the authored order from graph moves into local slope and accumulation, the accumulation challenge forces one honest local-versus-total checkpoint, and the calculus topic page keeps the next branch explicit without inventing a second lesson platform.

Functions topic pageFunctions starter trackAccumulation checkpointCalculus handoff

Educator note

Best when a teacher wants one bounded graph-first math block before the broader calculus shelf opens.

Guided path

Follow the next steps in one authored order.

Each step still opens an existing topic page, concept bench, track, or challenge. This page only keeps the authored order legible.

4 steps across 7 concepts, with one clear first move.

Next stepTopic page

Open the functions topic page

Anchor the lesson in the canonical math branch before local-rate and accumulation work begins.

Open topic page
  1. 1Topic pageNot startedNext step

    Open the functions topic page

    Use the topic page to frame parent curves, rational behavior, and exponential change before the collection narrows into the full graph-first sequence.

    Open this topic page before the linked concepts start accumulating saved progress.

    6 min3 linked concepts
    Open topic page
  2. 2Starter trackNot started

    Run the Functions and Change starter track

    Keep graph transformations, rational asymptotes, exponential change, local slope, limits, and accumulation in the authored order already shipped in the catalog.

    Graph Transformations is the next best step inside Functions and Change.

    139 min6 concepts5 checkpoints
    Start with Graph TransformationsOpen track page
  3. 3ChallengeNot started

    Close with the accumulation checkpoint challenge

    Finish on the existing accumulation challenge where local height can be negative while the running total stays positive.

    No saved challenge activity yet for this step.

    10 minCore7 checks
    Open challengeOpen concept
  4. 4Topic pageNot started

    Keep the next branch visible on the calculus topic page

    Open the calculus topic page once the accumulation checkpoint lands so slope, limits, optimization, and area stay situated inside the same math shelf.

    No saved progress yet in the 4 linked concepts.

    6 min4 linked concepts
    Open calculus topic

Check your starting point

Open the diagnostic only when you need help deciding whether to continue, restart, or skip ahead inside this path.

Entry diagnostic

Decide where to enter this path without opening a second testing system.

Reuse the graph-transformations quick test, the rational domain-break checkpoint, and the exponential target-time quick test to decide whether this lesson set should start at the topic page or jump straight to the accumulation capstone.

Start from the opening step0 / 3 probes ready

Check the graph-reading bridge before you replay the full math launch

Start from the opening step

No saved diagnostic checks are available yet, so the opening step is still the best entry into the collection.

Uses the same local-first concept, challenge, and track facts already saved in this browser.

Begin with Open the functions topic page
  1. Quick testNot started5 questions

    Graph-transformation quick test

    Check whether shifts, reflections, and landmark tracking already feel stable on the shared graph.

    No saved quick-test result yet.

    Graph transforms
    Open Graph-transformation quick test
  2. ChallengeNot started8 checks

    Keep the true break and the removable break separate

    Build a reciprocal family where the true vertical asymptote sits near $x=-1$, the removable hole sits at a positive x-value, and the right branch stays below the horizontal asymptote.

    No saved checkpoint attempt yet.

    Rational functions
    Open Keep the true break and the removable break separate
  3. Quick testNot started5 questions

    Exponential target-time quick test

    Check whether growth versus decay and the logarithmic target question already feel stable on the same curve.

    No saved quick-test result yet.

    Exponential change
    Open Exponential target-time quick test

Path tools

Share or assign this path

Copy a stable collection link or save a compact bundle only when you need to relaunch or share the sequence elsewhere.

Share this collection

Copy a stable collection link. Links stay public and never include saved progress or private account state.

Shareable concept bundle

Package a compact launch path from this guided collection.

Keep the bundle lightweight: choose the collection entry points that matter, give the package a clear summary, and share one stable link back into the same topic, concept, track, and challenge surfaces that already exist.

Bundle progress below stays local-first and never rides along with the shared link.

Included entry points

Uncheck anything that should stay outside this shareable bundle.

Assignment mode

Save the current bundle selection as a stable assignment link.

This stays intentionally small. The assignment stores the selected guided-collection steps and an optional note, then learners reopen the same concept, track, topic, and challenge surfaces through one stable entry point.

Sign in to save a stable assignment link. Signed-out bundle sharing above still stays public.

4 assigned steps7 concepts161 min

Save the current draft to mint one stable assignment entry point for this exact selection.

Launch starts on Open the functions topic page. Assignment completion is derived from the same concept, starter-track, and challenge facts already used elsewhere in the product.

Bundle launch order

Keep the selected bundle steps explicit.

Launch starts on Open the functions topic page
  1. 1Open the functions topic pageTopic pageUse the topic page to frame parent curves, rational behavior, and exponential change before the collection narrows into the full graph-first sequence.
  2. 2Run the Functions and Change starter trackStarter trackKeep graph transformations, rational asymptotes, exponential change, local slope, limits, and accumulation in the authored order already shipped in the catalog.
  3. 3Close with the accumulation checkpoint challengeChallengeFinish on the existing accumulation challenge where local height can be negative while the running total stays positive.
  4. 4Keep the next branch visible on the calculus topic pageTopic pageOpen the calculus topic page once the accumulation checkpoint lands so slope, limits, optimization, and area stay situated inside the same math shelf.