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Lesson set4 steps7 concepts161 min1 track

Functions and Change Lesson Set

Not started

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

This lesson set is for the moment when the new math slice should feel like one real path instead of separate shelves. It starts with the functions topic route for orientation, uses the authored Functions and Change starter track for the main order, closes with the accumulation checkpoint already shipped inside that track, and then hands off to the calculus topic route so the next branch stays visible.

The topic route 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 route keeps the next branch explicit without inventing a second lesson platform.

Functions topic routeFunctions starter trackAccumulation checkpointCalculus handoff

Educator note

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

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 route 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 route
  1. Quick testNot started3 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 Transformations quick test
  2. ChallengeNot started8 checks

    Rational domain-break checkpoint

    Use the rational-functions challenge to verify that asymptotes, removable holes, and branch placement still stay tied to one graph family.

    No saved checkpoint attempt yet.

    Rational functions
    Open Domain-break checkpoint

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 route. 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 route
  1. 1Open the functions topic routeTopic routeUse 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 routeTopic routeOpen the calculus topic page once the accumulation checkpoint lands so slope, limits, optimization, and area stay situated inside the same math shelf.

Ordered steps

Reuse the current surfaces in one bounded sequence.

Every step still lands in an existing topic page, concept page, starter track, or challenge flow. The collection only keeps that order explicit.

1 starter track references stay inside the current track system.

  1. 1Topic routeNot startedNext step

    Open the functions topic route

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

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

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

    6 minTopic routeGraph transformsRational functionsExponential change
    Open topic route
  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.

    Reuse the canonical starter-track layer instead of restitching the same graph-first branch by hand.

    Graph Transformations opens this track and sets up the rest of the path.

    139 min6 concepts5 checkpointsGraph transformsRational functionsExponential change+3 more concepts
    Start with Graph transformsOpen 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.

    Turn the graph-first branch into one honest local-versus-total success condition.

    No saved challenge activity yet for this step.

    10 minCore7 checksIntegral as area
    Open challengeOpen concept
  4. 4Topic routeNot started

    Keep the next branch visible on the calculus topic route

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

    Show the next branch honestly without pretending the lesson set is a separate course shell.

    No saved progress yet in the 4 linked concepts.

    6 minTopic routeDerivative as slopeLimits and continuityOptimization and constraints+1 more concepts
    Open calculus topic