Year 7 CCEA Mathematics: Core Topics Overview | Year 7 CCEA 数学：核心知识点梳理

📚 Year 7 CCEA Mathematics: Core Topics Overview | Year 7 CCEA 数学：核心知识点梳理

Year 7 marks the start of Key Stage 3 in Northern Ireland, and CCEA Mathematics covers a broad range of essential topics that build on primary school learning. This article provides a clear and concise overview of the core knowledge areas, helping students and parents understand the key skills to be mastered throughout the year.

在北爱尔兰，Year 7 是 Key Stage 3 的起始阶段，CCEA 数学涵盖了一系列广泛的重要主题，这些内容建立在小学学习的基础上。本文对这些核心知识领域进行了清晰简洁的梳理，帮助学生和家长了解全年需要掌握的关键技能。

1. Numbers and Place Value | 数与位值

The place value system allows us to write any whole number using digits 0-9. The value of a digit depends on its column: units, tens, hundreds, thousands, and so on. For example, in the number 5 286, the digit 5 represents 5 thousands, 2 represents 2 hundreds, 8 represents 8 tens, and 6 represents 6 ones.

位值系统使我们能够用数字 0-9 写出任何整数。一个数字的值取决于它所在的数位：个位、十位、百位、千位等。例如，在数字 5 286 中，数字 5 表示 5 个一千，2 表示 2 个一百，8 表示 8 个十，6 表示 6 个一。

In Year 7, you will work with numbers up to millions and be introduced to negative numbers. Negative numbers are written with a minus sign and represent values less than zero, such as temperatures below 0 °C or debts. Understanding the number line, including zero and negative values, is crucial for ordering and comparing numbers.

在 Year 7，你将处理高达百万的数字，并接触负数。负数用减号表示，代表小于零的数值，例如零下的温度或债务。理解数轴（包括零和负数）对于排序和比较数字至关重要。

Rounding numbers to the nearest 10, 100, or 1000 is a key skill that helps estimate answers and check calculations. You will also work with Roman numerals up to at least 100 (C) and explore different number systems.

把数字四舍五入到最近的 10、100 或 1000 是一项关键技能，有助于估算答案和检查计算。你还将学习至少到 100 (C) 的罗马数字，并探索不同的数字体系。

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2. Addition, Subtraction and Mental Maths | 加法、减法与心算

Fluency in adding and subtracting whole numbers, including large numbers, is a must. You will use column methods to calculate sums and differences accurately, and check by inverse operations.

熟练地加减整数（包括大数）是必须的。你将使用列式方法准确计算和与差，并通过逆运算进行检查。

Mental maths strategies include partitioning numbers, using number bonds to 10 and 100, and compensating. For example, to add 47 + 29, you can add 50 and 30, then subtract 4. Developing mental agility saves time and helps in problem solving.

心算策略包括拆分数字、使用 10 和 100 的数对，以及补偿法。例如，计算 47 + 29，可以先加 50 和 30，再减去 4。提高心算敏捷度可以节省时间并有助于解决问题。

You will also solve word problems that require addition and subtraction, involving money, measures, and real-life contexts. Setting up the correct expression is just as important as obtaining the right answer.

你还要解决需要加减法的文字题，涉及金钱、测量以及实际情境。列出正确的表达式与获得正确答案同样重要。

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3. Multiplication and Division | 乘法和除法

Year 7 extends multiplication to include multiplying by two-digit numbers, using formal written methods (long multiplication). The commutative law (a × b = b × a) and distributive law (a × (b + c) = a × b + a × c) are used to simplify calculations.

在 Year 7，乘法扩展到包括两位数乘法，使用正式笔算法（长乘法）。乘法交换律 (a × b = b × a) 和分配律 (a × (b + c) = a × b + a × c) 被用来简化计算。

Division becomes more systematic with the ‘bus stop’ method (short division) and long division for larger numbers. You will learn how to interpret remainders, whether as fractions or by rounding up or down depending on the context.

除法变得更系统化，使用“巴士站”法（短除法）以及较大数的长除法。你将学习如何解释余数，根据具体情况表示为分数或者向上/向下取整。

Factors, multiples, and prime numbers are introduced. You will find all factor pairs of a number, identify the highest common factor (HCF) and lowest common multiple (LCM) of two or more numbers, and recognise prime numbers up to at least 100.

引入因数、倍数和质数。你将找出一个数的所有因数对，确定两个或多个数的最大公因数 (HCF) 和最小公倍数 (LCM)，并识别至少 100 以内的质数。

Square numbers (e.g., 1, 4, 9, 16…) and cube numbers (1, 8, 27, 64…) are explored. Knowing these by heart supports later work with powers and roots.

探索平方数（如 1, 4, 9, 16……）和立方数（1, 8, 27, 64……）。熟记这些可以为后续的幂和根的学习打好基础。

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4. Fractions, Decimals and Percentages | 分数、小数和百分数

Equivalent fractions and simplification using common factors are core to Year 7 work. You will compare and order fractions with different denominators by converting them to equivalent fractions with a common denominator or to decimals.

等值分数以及利用公因数约分是 Year 7 的核心内容。你将通过把分数转换为具有公分母的等值分数或小数，来比较和排序分母不同的分数。

Calculating a fraction of a quantity, adding and subtracting fractions with the same or different denominators, and multiplying fractions by whole numbers are all essential operations. For example, 3/4 of 20 is 15, and ½ + ⅓ = 5/6.

计算一个量的几分之几、同分母和异分母分数的加减、以及分数乘以整数，都是基本的运算。例如，20 的 3/4 是 15，½ + ⅓ = 5/6。

Decimals are linked to fractions with denominators 10, 100, 1000, etc. You will read, write, order, and round decimals to a given number of decimal places. Arithmetic with decimals – addition, subtraction, multiplication, and division by whole numbers – is practised extensively.

小数与分母为 10、100、1000 等的分数相联系。你将读、写、排序小数，并将小数四舍五入到指定的小数位数。小数的算术——加减法、乘法以及除以整数——都会进行大量的练习。

Percentages are introduced as ‘out of 100’. You will convert between fractions, decimals, and percentages, and calculate simple percentages of amounts (e.g., 10%, 25%, 50%) without a calculator.

百分数作为“每百分之几”引入。你将在分数、小数和百分数之间进行转换，并不用计算器计算简单的百分数（如 10%、25%、50%）对应的量。

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5. Introduction to Algebra | 代数入门

Algebra uses letters to represent unknown numbers or variables. You will learn how to write simple algebraic expressions from word statements, for instance, ‘a number increased by 5’ becomes x + 5, and ‘double a number subtract 3’ is 2y – 3.

代数使用字母表示未知数或变量。你将学习如何根据文字叙述写出简单的代数表达式，例如，“一个数增加 5”变为 x + 5，“一个数的两倍减去 3”是 2y – 3。

Collecting like terms – simplifying an expression such as 3a + 2b – a + 4b to 2a + 6b – is a fundamental skill. Substituting numbers into expressions and formulas, for example finding the value of 3n + 2 when n = 5, helps link algebra to arithmetic.

合并同类项——例如将 3a + 2b – a + 4b 化简为 2a + 6b——是一项基本技能。代入数值到表达式和公式中，例如当 n = 5 时求 3n + 2 的值，有助于将代数与算术联系起来。

You will encounter simple linear equations such as x + 7 = 12 or 3y = 21. Solving these requires understanding

Published by TutorHao | Year 7 Mathematics Revision Series | aleveler.com

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