قراءة 1 دقائق
Fractions: simplifying, adding, multiplying and dividing
What a fraction means, how to simplify one, and the four operations — with a common denominator only when you need it.
مركز التعلم: دروس رياضيات بسيطة
شروح بسيطة للمواضيع التي يسأل عنها الطلاب أكثر من غيرها. كل درس يبدأ من الفكرة، ويحل مثالًا خطوة بخطوة، ويتحقق من الإجابة بمحرك Sumzo الرياضي — ثم يربطك بحاسبة وأسئلة تدريبية.
الحساب والأعداد
قراءة 1 دقائق
Prime factors, GCD and LCM
Break numbers into primes, then use the prime factorisation to find the greatest common divisor and least common multiple.
قراءة 2 دقائق
Square roots explained: perfect squares, surds and estimating
What a square root is, the perfect squares to know, how to simplify surds such as √180, and how to estimate roots like √65 without a calculator.
الجبر
قراءة 5 دقائق
Equations: what they are and how to solve them
What an equation is, what its solution means, and how to solve equations step by step — from one-step equations to fractions and two variables.
قراءة 1 دقائق
Solving linear equations
Use inverse operations to get the unknown on its own, keep the equation balanced, and always check your answer.
قراءة 2 دقائق
Quadratic equations: how to solve them
Factorising, completing the square, the quadratic formula and the discriminant — and how to tell which method to use.
قراءة 1 دقائق
Slope and the equation of a line
What slope measures, how to find it from two points, and how to write a line as y = mx + b.
قراءة 4 دقائق
How to simplify radicals (simplest radical form)
How to simplify radicals by taking out perfect-square factors, what simplest radical form means, and how to simplify radical expressions — with checked examples.
قراءة 2 دقائق
Rational equations: how to solve them
What a rational equation is, how to solve rational equations by multiplying by the lowest common denominator, and why every answer must be checked.
قراءة 3 دقائق
Factoring polynomials: a step-by-step guide
The steps for factoring polynomials — common factor first, then two, three or four terms — with worked examples, each checked by multiplying back out.
قراءة 3 دقائق
Solving inequalities: how to solve and graph them
Solving inequalities like equations — with one extra rule — and showing the answer on a number line, in interval notation and as a shaded region.
قراءة 2 دقائق
What is a solution in math? Examples with one, none or many
A solution is a value that makes an equation true. How to check one, and examples with one solution, no solution, all real numbers and two solutions.
قراءة 2 دقائق
How to solve a word problem: 5 steps that work
A five-step method for solving word problems, the key words that turn into maths, and worked examples — ages, consecutive numbers, discounts and tickets.
قراءة 2 دقائق
How to graph an equation: lines, parabolas and more
Three ways to graph an equation — a table of values, slope and intercept, and key points of a parabola — with worked examples and how to match a graph to its equation.
قراءة 3 دقائق
Functions: how to graph a function, domain, range and f(g(x))
Function notation, how to graph a function from its formula, how to find its domain and range, and how composite functions such as f(g(x)) work.
قراءة 2 دقائق
Polynomials: how to simplify, expand and solve them
What a polynomial is, how to simplify and expand polynomials, and how to solve polynomial equations by factoring — with checked examples.
قراءة 2 دقائق
Rational expressions: simplify, multiply, divide, add and subtract
What rational expressions are, their excluded values, and how to simplify, multiply, divide, add and subtract them — then solve rational equations.
قراءة 2 دقائق
How to solve literal equations (rearranging formulas)
A literal equation has several letters. Solving it means isolating one of them — the same moves as an ordinary equation, with letters instead of numbers.
قراءة 1 دقائق
How to simplify expressions and complex fractions
How to simplify the following kinds of expression: like terms, brackets, exponents and complex fractions (a fraction inside a fraction), each with checked examples.
قراءة 1 دقائق
Find x: how to solve for x in equations, angles and triangles
The questions that say “find x” — equations, angles on a line, triangle angles, Pythagoras and similar shapes — and the one idea behind all of them.
قراءة 2 دقائق
Systems of equations and graphing systems of linear inequalities
How to find the solution to a system of equations three ways, then how to graph a system of inequalities: boundary lines, shading and the overlap.
الهندسة
قراءة 1 دقائق
The Pythagorean theorem
How a² + b² = c² finds a missing side of any right triangle, plus the triples worth remembering.
قراءة 1 دقائق
Area of common shapes and circles
Area formulas for rectangles, triangles, trapeziums and circles — and why the triangle formula has a half in it.
قراءة 2 دقائق
Area of a trapezium (trapezoid): formula and examples
The formula for the area of a trapezium (a trapezoid in the US), why it works, and worked examples — including finding a missing height or side.
قراءة 2 دقائق
Types of triangles: scalene, isosceles and equilateral
Scalene, isosceles and equilateral triangles — how to tell them apart, their angles, and how to find their area, including the area of an equilateral triangle.
قراءة 1 دقائق
Polygons and quadrilaterals: is a square a quadrilateral?
Is a square a quadrilateral? Yes — and a rectangle, a rhombus and a parallelogram. How the family fits together, plus polygon angle sums and areas.
قراءة 1 دقائق
Triangular prism volume, cylinders, cones and other 3D shapes
How to find the volume and surface area of a triangular prism, and the volume of cylinders and cones — one idea (area of the cross-section × length) behind most of them.
حساب المثلثات
قراءة 1 دقائق
Trigonometry basics: SOH CAH TOA and exact values
The three trig ratios, the two special triangles that give exact values, and how degrees relate to radians.
الإحصاء
قراءة 1 دقائق
Averages and spread: mean, median, mode, range and standard deviation
Three ways to describe a typical value, two ways to describe how spread out data is, and when to use each.
قراءة 2 دقائق
Statistics basics: z-scores, percentiles, quartiles and combinations
Three statistics skills that come up again and again: turning a z-score into a percentile, finding quartiles in a data set, and counting with the combination formula.
التفاضل والتكامل
قراءة 1 دقائق
Derivatives and the power rule
A derivative is the slope of a curve at a point. The power rule lets you differentiate any polynomial in one line.
الجبر الخطي
قراءة 2 دقائق
How to find the determinant of a 2×2 or 3×3 matrix
How to find the determinant of a matrix: the ad − bc rule for 2×2, cofactor expansion for 3×3, a shortcut for triangular matrices, and what a zero determinant tells you.
رياضيات الحياة اليومية
قراءة 2 دقائق
How to calculate percentages: the three types of problem
How to solve percentage problems of all three kinds — a percentage of an amount, one number as a percentage of another, and percentage change — with checked examples.
قراءة 1 دقائق
Ratios and proportions
Simplify ratios, share amounts in a ratio, and solve proportions — the maths behind recipes, maps and scale models.
كيف تتعلم الرياضيات بهذه الدروس
- اختر موضوعًا أدناه أو ابحث عنه.
- اقرأ الشرح القصير، ثم تابع الأمثلة المحلولة سطرًا بسطر — جرّب كل خطوة قبل أن تقرأها.
- راجع الأخطاء الشائعة، لتعرف ما الذي تنتبه إليه.
- تدرّب بالأسئلة المرتبطة. سجّل الدخول إذا أردت حفظ تقدمك.
كيف يبدو مثال رياضيات بسيط
حل .
- اطرح 4 من الطرفين: .
- اقسم الطرفين على 3: .
- التحقق: . ✓
كل درس يسير هكذا: خطوة صغيرة في كل مرة، وإجابة مُتحقق منها.
الأسئلة الشائعة
هل توجد طريقة سهلة لتعلم المواضيع الصعبة؟
قسّم كل موضوع إلى خطوات صغيرة تعرفها مسبقًا. الدروس تفعل ذلك لك — فالمعادلات التربيعية مثلًا تبدأ بالتحليل قبل القانون العام.
كيف يُتحقق من الأمثلة المحلولة؟
تُحل الأمثلة من جديد بمحرك Sumzo الرياضي أو حاسباته في اختبارات آلية، فيُكتشف أي خطأ قبل نشر الدرس.
هل أحتاج إلى حساب؟
لا. كل الدروس مجانية القراءة. الحساب يحفظ تقدمك في التمارين فقط.