📚 Grade 4 Mathematics PPT Courseware: Core Concepts and Visual Explanations | 数学G4课件PPT：核心概念与图解
A Grade 4 mathematics PPT courseware should present every topic through a clear visual model, a worked example, and a quick check question. This revision guide summarises the core knowledge points that teachers and students can use when building or reviewing a G4 maths slide deck.
四年级数学PPT课件应当用清晰的视觉模型、例题和快速检测题来呈现每个主题。本复习指南总结了教师和学生在制作或复习G4数学课件时可使用的核心知识点。
1. Place Value up to Millions | 位值：到百万位
In Grade 4, learners extend place value understanding from thousands to millions. A digit’s value is determined by its position. In 3,482,157, the digit 4 is in the hundred thousands place, so it represents 400,000, not 4.
在四年级，学生将位值理解从千位扩展到百万位。一个数字的值由它所在的位置决定。在3,482,157中，数字4位于十万位，因此它表示400,000，而不是4。
A good PPT slide shows a place value chart with boxes for millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones. This visual helps learners decompose any whole number into its place value parts.
好的PPT课件应展示一个位值表，包含百万、十万、万、千、百、十和个位。这个视觉工具能帮助学生将任何整数分解为各个位值部分。
| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|
| 3 | 4 | 8 | 2 | 1 | 5 | 7 |
The same number can be written in standard form, expanded form, and word form. These three representations should appear on the same slide so students see that they all mean the same quantity.
同一个数字可以用标准形式、展开形式和文字形式书写。三种表示方法应出现在同一张幻灯片上，让学生看到它们表示同一个数量。
- Standard: 3,482,157
- Expanded: 3,000,000 + 400,000 + 80,000 + 2,000 + 100 + 50 + 7
- Word: three million, four hundred eighty-two thousand, one hundred fifty-seven
练习建议：课件可以展示一个缺位的展开式，让学生补全缺失的位值项。
2. Addition and Subtraction with Regrouping | 进位加法与退位减法
Grade 4 students must fluently add and subtract multi-digit numbers using the standard algorithm. PPT animations should highlight carrying in addition and borrowing in subtraction step by step.
四年级学生必须能熟练使用标准竖式进行多位数加减法。PPT动画应逐步突出加法中的进位和减法中的退位。
For example, 7,456 + 2,678 requires regrouping in the ones and hundreds columns. The slide can colour-code the carried digits so learners can follow the exchange of ten smaller units for one larger unit.
例如，7,
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