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Refactor math curriculum and remove directed numbers chapter: Update package.json to streamline the build process by separating site build commands. Remove the 'directed-numbers-rates' chapter and its associated files, including content and widgets, from the curriculum. Update curriculum JSON to reflect changes in chapter dependencies and improve overall structure.

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Hananoshika Yomaru 2026-05-21 10:54:08 -07:00
parent f28ad660dd
commit 1a26d53730
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content/math/integer-arithmetic/core.html Normal file
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<div class="book-prose">
<p>
This chapter extends integer work to multiplication, division, and multi-step expressions.
</p>
<h2 id="sign-rules" class="book-prose__heading">Sign rules for multiplication and division</h2>
<div class="book-table-wrap">
<table class="book-table">
<thead>
<tr>
<th scope="col">Operation</th>
<th scope="col">Result sign</th>
</tr>
</thead>
<tbody>
<tr>
<td>same signs</td>
<td>positive</td>
</tr>
<tr>
<td>different signs</td>
<td>negative</td>
</tr>
</tbody>
</table>
</div>
<p>
Examples: \((-3)(-4)=12\), \(18\div(-3)=-6\).
</p>
<h2 id="patterns" class="book-prose__heading">Why negative times negative is positive</h2>
<p>
Arithmetic rules must stay consistent with distribution. This leads to
\((-a)(-b)=ab\).
</p>
<h2 id="order" class="book-prose__heading">Order of operations with signed numbers</h2>
<p>
Use brackets, exponents, multiplication/division, then addition/subtraction.
</p>
<p class="book-formula">
\(5-(-2)\times 3 = 5-(-6)=11\)
</p>
<h2 id="multi-step" class="book-prose__heading">Multi-step integer expressions</h2>
<p>
Keep signs with their numbers and rewrite subtraction as adding opposites when needed.
</p>
<details class="book-question">
<summary class="book-question__prompt">Checkpoint: evaluate \((-6)\times 7\)</summary>
<div class="book-question__solution">
<p>\(-42\).</p>
</div>
</details>
<details class="book-question">
<summary class="book-question__prompt">Checkpoint: evaluate \(36\div(-9)\)</summary>
<div class="book-question__solution">
<p>\(-4\).</p>
</div>
</details>
<details class="book-question">
<summary class="book-question__prompt">Checkpoint: evaluate \(8-3(2-5)\)</summary>
<div class="book-question__solution">
<p>
\(2-5=-3\), then \(8-3(-3)=8-(-9)=17\).
</p>
</div>
</details>
</div>