mirror of
https://github.com/HananoshikaYomaru/openfreebooks.git
synced 2026-11-13 13:05:51 +00:00
Update contributing guidelines and enhance build scripts: Add detailed instructions for build modes in CONTRIBUTING.md, clarifying the use of incremental and full rebuilds. Revise package.json to streamline build commands and introduce new dev scripts for better development workflow. Remove deprecated integer arithmetic chapter files and update curriculum JSON to reflect the latest structure. Enhance Pythagorean theorem content with a new vocabulary section for improved clarity.
This commit is contained in:
Hananoshika Yomaru
parent
669fbd59fa
commit
30b4f4cf53
16 changed files with 496 additions and 291 deletions
|
|
@ -1,83 +0,0 @@
|
|||
+++
|
||||
title = "Integer arithmetic"
|
||||
description = "Multiply and divide integers from models to symbolic rules; apply order of operations with signed numbers in multi-step expressions."
|
||||
template = "chapter.html"
|
||||
weight = 9
|
||||
[extra]
|
||||
subject = "math"
|
||||
chapter_id = "integer-arithmetic"
|
||||
strand = "Number & Algebra"
|
||||
+++
|
||||
|
||||
<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>
|
||||
|
|
@ -1,72 +0,0 @@
|
|||
<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>
|
||||
|
|
@ -116,6 +116,36 @@ strand = "Measures, Shape & Space"
|
|||
</div>
|
||||
|
||||
<div class="book-prose">
|
||||
<h2 id="vocabulary" class="book-prose__heading">Vocabulary</h2>
|
||||
<div class="book-table-wrap">
|
||||
<table class="book-table">
|
||||
<thead>
|
||||
<tr>
|
||||
<th>Term</th>
|
||||
<th>Definition</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td><strong>Right triangle</strong></td>
|
||||
<td>A triangle with one angle equal to \(90^\circ\).</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Legs</strong></td>
|
||||
<td>The two sides that form the right angle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Hypotenuse</strong></td>
|
||||
<td>The side opposite the right angle; the longest side in a right triangle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Pythagorean Theorem</strong></td>
|
||||
<td>The relationship \(a^2+b^2=c^2\) for right triangles.</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
|
||||
<h2 id="history" class="book-prose__heading">History</h2>
|
||||
<p>
|
||||
The theorem is associated with Pythagoras, but right-triangle relationships appeared in earlier
|
||||
|
|
@ -202,31 +232,4 @@ strand = "Measures, Shape & Space"
|
|||
</div>
|
||||
</details>
|
||||
|
||||
<h2 id="vocabulary" class="book-prose__heading">Vocabulary</h2>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th>Term</th>
|
||||
<th>Definition</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td><strong>Right triangle</strong></td>
|
||||
<td>A triangle with one angle equal to \(90^\circ\).</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Legs</strong></td>
|
||||
<td>The two sides that form the right angle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Hypotenuse</strong></td>
|
||||
<td>The side opposite the right angle; the longest side in a right triangle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Pythagorean Theorem</strong></td>
|
||||
<td>The relationship \(a^2+b^2=c^2\) for right triangles.</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
|
|
|
|||
|
|
@ -1,4 +1,34 @@
|
|||
<div class="book-prose">
|
||||
<h2 id="vocabulary" class="book-prose__heading">Vocabulary</h2>
|
||||
<div class="book-table-wrap">
|
||||
<table class="book-table">
|
||||
<thead>
|
||||
<tr>
|
||||
<th>Term</th>
|
||||
<th>Definition</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td><strong>Right triangle</strong></td>
|
||||
<td>A triangle with one angle equal to \(90^\circ\).</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Legs</strong></td>
|
||||
<td>The two sides that form the right angle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Hypotenuse</strong></td>
|
||||
<td>The side opposite the right angle; the longest side in a right triangle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Pythagorean Theorem</strong></td>
|
||||
<td>The relationship \(a^2+b^2=c^2\) for right triangles.</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
|
||||
<h2 id="history" class="book-prose__heading">History</h2>
|
||||
<p>
|
||||
The theorem is associated with Pythagoras, but right-triangle relationships appeared in earlier
|
||||
|
|
@ -85,31 +115,4 @@
|
|||
</div>
|
||||
</details>
|
||||
|
||||
<h2 id="vocabulary" class="book-prose__heading">Vocabulary</h2>
|
||||
<table>
|
||||
<thead>
|
||||
<tr>
|
||||
<th>Term</th>
|
||||
<th>Definition</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td><strong>Right triangle</strong></td>
|
||||
<td>A triangle with one angle equal to \(90^\circ\).</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Legs</strong></td>
|
||||
<td>The two sides that form the right angle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Hypotenuse</strong></td>
|
||||
<td>The side opposite the right angle; the longest side in a right triangle.</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td><strong>Pythagorean Theorem</strong></td>
|
||||
<td>The relationship \(a^2+b^2=c^2\) for right triangles.</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue