Basic division
Introduction to division as sharing and grouping
🎯 Learning Objectives 學習目標
- 🔍
Recognise the basic concept of division.
（認識除法的基本概念）
- 🔢
Perform basic division (with possible remainders).
（進行基本除法運算，可能有餘數）
- 🔄
Recognise the relation between multiplication and division.
（認識乘法與除法的關係）
- 🧩
Solve problems.
（解決問題）
📋 Progress 進度
Division Concept
Understand division as sharing
Division as Grouping
Understand division as grouping
Division Calculation
Perform basic division calculations
Division & Multiplication
Understand the relationship
Division Problems
Solve real-world division problems
🧮 Introduction to Division 除法簡介
Division is a way to split a number into equal groups.除法是將一個數分成相等的組的方法。
Twelve divided by three equals four
十二除以三等於四
Division as Sharing 除法作為分享
When we divide by sharing, we distribute items equally among groups.當我們通過分享來除法時，我們平均分配物品到各組。
Division as Grouping 除法作為分組
When we divide by grouping, we make groups with a specific number of items.當我們通過分組來除法時，我們創建具有特定數量物品的組。
🍎 Division as Sharing 除法作為分享
Let's practice dividing by sharing items equally among groups.讓我們練習通過在各組之間平均分配物品來進行除法。
If we have 12 apples and want to share them equally among 3 friends, how many apples does each friend get?
如果我們有 12 個蘋果， 想平均分給 3 個朋友， 每個朋友能得到多少個蘋果？
🧸 Division as Grouping 除法作為分組
Let's practice dividing by making groups with a fixed number of items.讓我們練習通過創建具有固定數量物品的組來進行除法。
If we have 15 teddy bears and want to put 4 teddy bears in each box, how many boxes do we need?
如果我們有 15 隻泰迪熊， 要在每個盒子裡放 4 隻泰迪熊， 我們需要多少個盒子？
🔢 Division Calculations 除法計算
Let's solve some division problems and find the quotients and remainders.讓我們解決一些除法問題，找出商和餘數。
🔄 Multiplication and Division 乘法和除法
Multiplication and division are related! When we know a division fact, we also know a multiplication fact.乘法和除法是相關的！當我們知道一個除法事實時，我們也知道一個乘法事實。
Division 除法
If we have 12 items and put them into 4 equal groups, we get 3 items in each group.如果我們有12個物品並將它們分成4組，每組有3個物品。
Multiplication 乘法
If we have 4 groups with 3 items in each group, we have 12 items in total.如果我們有4組，每組3個物品，總共有12個物品。
Fact Family 事實族
Match the Division with its Multiplication Pair!將除法與其乘法配對！
📝 Division Word Problems 除法應用題
Let's solve some real-world division problems!讓我們解決一些實際生活中的除法問題！
Problem:
Mrs. Lee has 15 oranges. She wants to give an equal number of oranges to 3 children. How many oranges will each child get?
李老師有15個橙子。她想給3個孩子相同數量的橙子。每個孩子會得到多少個橙子？
🔑 Key Concepts 重要概念
Division 除法
- 🍕
Division means sharing or grouping equally
除法意味著平均分享或分組
- ➗
The division sign is ÷
除法符號是 ÷
- 🔢
Division can result in a remainder
除法可能有餘數
Example: 7 ÷ 2 = 3 remainder 1
1234567
Division Terms 除法術語
Dividend
被除數：被除的數
Divisor
除數：我們用來除的數
Quotient
商：除法的結果
Remainder
餘數：剩餘的量
👨🏫 Teacher's Corner 教師角落
Teaching Tips 教學提示
- Start with physical objects that children can actually share or group
- Use visual representations like counters, drawings, or number lines
- Link division to sharing situations from students' everyday experiences
- Always connect division to multiplication to reinforce the relationship
- Introduce division problems with no remainders before moving to problems with remainders
- Encourage students to check division answers by multiplication
Extension Activities 延伸活動
- Division Bingo: Create bingo cards with division problems除法賓果：創建帶有除法問題的賓果卡
- Real-life division: Have students share objects equally in class現實生活中的除法：讓學生在課堂上平均分享物品
- Division stories: Students create their own division word problems除法故事：學生創建自己的除法應用題
- Shopping game: Give students a budget and have them "buy" equal numbers of items購物遊戲：給學生預算，讓他們"購買"相同數量的物品
- Division drawing: Draw pictures to represent division problems除法繪畫：繪製圖片來表示除法問題