新加坡政府小学数学大纲及考点（小学三年级G3）

之前我们介绍了新加坡政府小学一年级的教学大纲，今天我们接着来看新加坡政府小学二年级的教学大纲。

回顾一下，整个小学阶段，采用3+1的教学体系，三大模块数学知识和贯穿始终的数学过程思维训练。如下图所示。

数学过程思维这一环节最为关键的是思维技巧和策略思维方法。这部分内容是要求学生在掌握数学知识点的基础上，能活学活用，经过训练，学会常用的思维方法。

比如，从特例推导到一般的思维技巧，发现规律，找出通用模式。将整体拆解成部分，用“分而治之”的方法化整为零突破。从部分整合到全局的能力。猜测+验证的方法，对有些不能采用穷举方法的问题也很管用。具体如下图。

新加坡小三的知识点脉络，总结如下图。

每个分支包含的知识点分列如下。

10000以内整数知识考查点

counting in tens/hundreds

number notation, representations and place values (hundreds, tens, ones)

reading and writing numbers in numerals and in words

comparing and ordering numbers

patterns in number sequences

和二年级相比，知识点没有变化，但通过应用题增加深度，培养学生综合分析能力，部分试题实际上已经有数论的味道。

加减法

addition and subtraction algorithms (up to 4 digits)

solving up to 2-step word problems involving addition and subtraction

mental calculation involving addition and subtraction of two 2-digit numbers

乘除法

multiplication tables of 6, 7, 8 and 9

multiplying and dividing within the multiplication tables

division with remainder

multiplication and division algorithms (up to 3 digits by 1 digit)

solving up to 2-step word problems involving the 4 operations

mental calculation involving multiplication and division within the multiplication tables

分数

1. Equivalent fractions

1.1 equivalent fractions

1.2 expressing a fraction in its simplest form

1.3 comparing and ordering unlike fractions with denominators of given fractions not exceeding 12

1.4 writing the equivalent fraction of a fraction given the denominator or the numerator

2. Addition and subtraction

2.1 adding and subtracting two related fractions within one whole with denominators of given fractions not exceeding 12

货币

adding and subtracting money in decimal notation

solving word problems involving addition and subtraction of money in decimal notation

度量 - 长度/质量/体积

1. Length, Mass and Volume

1.1 measuring

• length in kilometres (km)

• volume of liquid in millilitres (ml)

1.2 measuring length/mass/volume (of liquid) in compound units

1.3 converting a measurement in compound units to the smaller unit, and vice versa

• kilometres and metres

• metres and centimetres

• kilograms and grams

• litres and millilitres

1.4 solving word problems involving length/mass/volume/capacity excluding fractions and compound units

度量 - 时间

telling time to the minute

use of ‘past’ and ‘to’ to tell time

measuring time in hours and minutes

converting time in hours and minutes to minutes only, and vice versa

finding the starting time, finishing time or duration given the other two quantities

solving problems involving time in hours and minutes

几何 - 面积和周长

concepts of area and perimeter of a plane figure

measuring area in square units, cm and m , excluding conversion between cm and m

perimeter of

• rectilinear figure

• rectangle

• square

4.area of rectangle/square

几何 - 角度

concepts of angle

right angles, angles greater than/smaller than a right angle

几何 - 平行线和垂线

perpendicular and parallel lines

draw perpendicular and parallel lines on squaregrid

统计 - 数据呈现和释读

reading and interpreting data from bar graphs

using different scales on axis

solving 1-step problems using data from bar graphs

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