Add Exponents & Roots bundle: lesson + 7 questions - #23
Draft
DMDaudio wants to merge 1 commit into
Draft
Conversation
Fills the arithmetic/exponents-roots gap (previously zero coverage): - New lesson quant-arithmetic-exponents-roots (exponent laws, zero/negative and fractional exponents, simplifying/adding radicals, common-base equations). - 7 original problem-solving questions, easy→hard, each with a worked explanation, two hints, and distractors keyed to specific common errors (add-vs-multiply exponents, negative-exponent sign, root-then-power order, adding under the radical, distributing a converted exponent). All status: in-review. node scripts/build.mjs rebuilt docs/data/content.json with zero warnings (39 questions, 9 lessons). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01KuhJX8ivBw5ZqBPU4nSzXa
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
What does this PR add or change?
Adds a coherent bundle for the previously-uncovered
quant / arithmetic / exponents-rootssubtopic (zero questions and no lesson existed before):quant-arithmetic-exponents-roots("Exponents & Roots"): the exponent laws (add vs. multiply), zero/negative exponents, fractional exponents as roots, simplifying and adding radicals, and solving exponential equations by matching bases.0017–0023, the next unused Quant sequence), with an easy→hard progression:0017(easy) — product of powers,\(3^4 \cdot 3^2\)0018(easy) — power of a power,\((2^3)^2\)0019(easy) — simplify\(\sqrt{72}\)0020(medium) — zero & negative exponents,\(4^0 + 2^{-2}\)0021(medium) — fractional exponent,\(27^{2/3}\)0022(hard) — solve\(2^{x+3} = 8^{x-1}\)by common base0023(medium) — add radicals,\(\sqrt{50} + \sqrt{18}\)Every question has a worked explanation, two hints, and distractors keyed to specific common errors (multiply-vs-add exponents, reading a negative exponent as a negative number, root-then-power order, adding under the radical, and forgetting to distribute a converted exponent). Correct-answer letters are spread across A–E.
node scripts/build.mjsregenerateddocs/data/content.jsonwith zero warnings (39 questions, 9 lessons).Type of change
Author checklist
idmatches the filename;topic/subtopicexist incurriculum.md).statusisin-review. I did not set my own content toverified.For reviewers
statustoverifiedand added my handle toreviewers.Generated by Claude Code