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Mathematics

Arithmetic FoundationsFoundation

A structured Arithmetic Foundations course within the Mathematics pathway from Beginner to undergraduate level.

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Pre-AlgebraFoundation

A structured Pre-Algebra course within the Mathematics pathway from Beginner to undergraduate level.

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Algebra IIntermediate

A structured Algebra I course within the Mathematics pathway from Beginner to undergraduate level.

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GeometryIntermediate

A structured Geometry course within the Mathematics pathway from Beginner to undergraduate level.

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TrigonometryIntermediate

A structured Trigonometry course within the Mathematics pathway from Beginner to undergraduate level.

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Algebra IIIntermediate

A structured Algebra II course within the Mathematics pathway from Beginner to undergraduate level.

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CalculusAdvanced

A structured Calculus course within the Mathematics pathway from Beginner to undergraduate level.

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StatisticsAdvanced

A structured Statistics course within the Mathematics pathway from Beginner to undergraduate level.

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Linear AlgebraAdvanced

A structured Linear Algebra course within the Mathematics pathway from Beginner to undergraduate level.

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Multivariable CalculusAdvanced

A structured Multivariable Calculus course within the Mathematics pathway from Beginner to undergraduate level.

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Differential EquationsAdvanced

A structured Differential Equations course within the Mathematics pathway from Beginner to undergraduate level.

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Mathematical ReasoningAdvanced

A structured Mathematical Reasoning course within the Mathematics pathway from Beginner to undergraduate level.

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Discrete MathematicsAdvanced

A structured Discrete Mathematics course within the Mathematics pathway from Beginner to undergraduate level.

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Probability TheoryAdvanced

A structured Probability Theory course within the Mathematics pathway from Beginner to undergraduate level.

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Real AnalysisAdvanced

A structured Real Analysis course within the Mathematics pathway from Beginner to undergraduate level.

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Abstract AlgebraAdvanced

A structured Abstract Algebra course within the Mathematics pathway from Beginner to undergraduate level.

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Complex AnalysisAdvanced

A structured Complex Analysis course within the Mathematics pathway from Beginner to undergraduate level.

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Numerical MethodsAdvanced

A structured Numerical Methods course within the Mathematics pathway from Beginner to undergraduate level.

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Elementary MathematicsFoundation

A mathematics-only Qist Maktab curriculum for ages 5–10: counting and numbers, addition, subtraction, multiplication, division, place value, fractions, decimals, geometry, measurement, time, money and elementary data handling. Thirty ordered modules across five age bands.

Numbers 0–10
  1. Zero and One
  2. Two and Three
  3. Four to Six
  4. Seven to Ten
Numbers 11–20
  1. Eleven and Twelve
  2. Thirteen to Fifteen
  3. Sixteen to Eighteen
  4. Nineteen and Twenty
Counting, Ordering and Comparing Numbers
  1. Counting Forward
  2. Counting Backward
  3. Before, After and Between
  4. Greater, Smaller and Equal
Basic Shapes and Patterns
  1. Circle and Square
  2. Triangle and Rectangle
  3. Repeating Shape Patterns
  4. Growing Number Patterns
Addition within 10
  1. Joining Two Small Groups
  2. Addition with Fingers
  3. Make Five and Make Ten
  4. Addition on a Number Line
Subtraction within 10
  1. Taking Away One
  2. Taking Away Small Groups
  3. Subtract to Find Zero
  4. Subtraction on a Number Line
Numbers 21–100
  1. Numbers 21–40
  2. Counting to 50
  3. Numbers 51–80
  4. Numbers 81–100
Place Value: Tens and Ones
  1. Groups of Ten
  2. Tens and Ones
  3. Break Apart Numbers
  4. Comparing Two-Digit Numbers
Addition within 20
  1. Add by Counting On
  2. Add within Ten Plus Ten
  3. Make Ten to Add
  4. Addition Facts to Twenty
Subtraction within 20
  1. Subtract by Counting Back
  2. Subtract from Teen Numbers
  3. Use Addition to Check
  4. Word Problems within Twenty
Two-Digit Addition and Subtraction
  1. Add Tens and Ones
  2. Two-Digit Addition without Carrying
  3. Two-Digit Addition with Carrying
  4. Two-Digit Subtraction
Time, Calendar and Money
  1. Hours and Half-Hours
  2. Days, Weeks and Months
  3. Coins and Rupee Notes
  4. Adding Small Money Amounts
Numbers up to 1,000
  1. Count Hundreds
  2. Numbers 101–500
  3. Numbers 501–1,000
  4. Ordering Three-Digit Numbers
Place Value: Hundreds, Tens and Ones
  1. Hundreds, Tens and Ones
  2. Expanded Form
  3. Build Three-Digit Numbers
  4. Compare Using Place Value
Three-Digit Addition and Subtraction
  1. Three-Digit Addition without Carrying
  2. Three-Digit Addition with Carrying
  3. Three-Digit Subtraction without Borrowing
  4. Three-Digit Subtraction with Borrowing
Introduction to Multiplication
  1. Repeated Addition
  2. Equal Groups
  3. Multiplication Arrays
  4. Write Multiplication Sentences
Multiplication Tables (2–10)
  1. Tables of 2, 5 and 10
  2. Tables of 3 and 4
  3. Tables of 6 and 7
  4. Tables of 8 and 9
Introduction to Division
  1. Share Equally
  2. Make Equal Groups
  3. Division and Multiplication
  4. Divide Using Tables
Numbers up to 10,000
  1. Thousands and Hundreds
  2. Numbers 1,001–5,000
  3. Numbers 5,001–10,000
  4. Order and Round Four-Digit Numbers
Four-Digit Addition and Subtraction
  1. Add Four-Digit Numbers
  2. Addition with Regrouping
  3. Subtract Four-Digit Numbers
  4. Subtraction with Regrouping
Two-Digit Multiplication
  1. Two Digits Times One Digit
  2. Carry in Multiplication
  3. Multiplying by Ten
  4. Two Digits Times Two Digits
Short Division and Remainders
  1. Divide Two-Digit Numbers
  2. Short Division with Three Digits
  3. Division with Remainders
  4. Check the Division Answer
Introduction to Fractions
  1. Whole and Equal Parts
  2. Halves and Quarters
  3. Numerator and Denominator
  4. Compare Simple Fractions
Measurement: Length, Mass and Capacity
  1. Length: Millimetres to Metres
  2. Mass: Grams and Kilograms
  3. Capacity: Millilitres and Litres
  4. Convert Basic Units
Numbers up to 100,000
  1. Ten Thousands and Lakhs
  2. Expanded Form to 100,000
  3. Comparing Five- and Six-Digit Numbers
  4. Rounding to Tens, Hundreds and Thousands
Multi-Digit Multiplication and Division
  1. Three Digits Times One Digit
  2. Two Digits Times Two Digits
  3. Long Division by One Digit
  4. Multi-Step Written Calculations
Factors and Multiples
  1. Even and Odd Numbers
  2. Finding Factors
  3. Finding Multiples
  4. Prime and Composite Numbers
Fractions, Decimals and Percentages
  1. Equivalent Fractions
  2. Add and Subtract Like Fractions
  3. Decimals: Tenths and Hundredths
  4. Percentage as Parts of 100
Geometry: Lines, Angles, Perimeter and Area
  1. Lines and Angles
  2. Triangles and Quadrilaterals
  3. Perimeter of Shapes
  4. Area of Squares and Rectangles
Data Handling: Tables and Bar Graphs
  1. Collect and Count Data
  2. Make Frequency Tables
  3. Read Bar Graphs
  4. Draw Bar Graphs
Science

Philosophy of ScienceFoundation

Begin the Science pathway by learning what science is and how scientific inquiry works, then examine explanation, observation and inference, hypotheses and testing, models, causation, scientific realism, scientific change, limits of empirical inquiry, scientism, and worldviews.

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PhysicsAdvanced

A continuous Physics pathway from absolute foundations through classical mechanics, waves, thermal physics, electromagnetism, optics, mathematical physics, relativity, quantum mechanics, atomic and nuclear physics, condensed matter, electronics, statistical physics, particle physics, cosmology, and experimental/computational physics at undergraduate level.

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ChemistryAdvanced

A continuous Chemistry pathway from absolute basics through school and senior-secondary chemistry to undergraduate physical, inorganic, organic, analytical, materials, computational, environmental and research chemistry.

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BiologyAdvanced

A continuous Biology pathway from absolute basics through cell biology, genetics, physiology and ecology to undergraduate molecular biology, genomics, immunology, neuroscience, biotechnology and research.

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Earth & Space ScienceIntermediate

Explore Earth systems, geology, atmosphere, weather, water, oceans, climate, the solar system, stars, galaxies, and the universe.

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History of ScienceAdvanced

Trace the development of scientific ideas, methods, institutions, and instruments across civilizations, with special attention to Islamic civilization and its global intellectual connections.

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Elementary ScienceFoundation

A visual, child-friendly Qist Maktab Science curriculum for ages 5–10: senses, living things, plants, animals, water, weather, healthy body, materials, light, sound, forces, energy, Earth and space, ecology and scientific inquiry. 30 progressive modules and 120 interactive lessons in five age bands.

Our Five Senses
  1. Eyes Can See
  2. Ears Can Hear
  3. Our Nose
  4. Touch and Taste Safely
Living and Non-Living Things
  1. Living Things
  2. Non-Living Things
  3. What Living Things Need
  4. Let's Sort Them
Plants Around Us
  1. Meet a Seed
  2. Roots and Stems
  3. Leaves, Flowers and Fruits
  4. Our Date Palm
Animals Around Us
  1. Birds
  2. Insects
  3. Farm Animals
  4. Where Animals Live
Wonderful Water
  1. Water Around Us
  2. Water for People
  3. Water for Plants and Animals
  4. Keeping Water Clean
Air and Weather
  1. Air Is Everywhere
  2. Feel the Wind
  3. Sun, Clouds and Rain
  4. Today's Weather
Our Healthy Body
  1. Body Parts and Movement
  2. Our Teeth
  3. Keeping Clean
  4. Sleep and Exercise
Food and Nutrition
  1. Food from Plants
  2. Food from Animals
  3. A Healthy Plate
  4. Keeping Food Safe
Growing Plants
  1. A Seed Sprouts
  2. A Young Plant Grows
  3. What Plants Need
  4. Caring for a Plant
Animal Homes
  1. Animals on Land
  2. Animals in Water
  3. Food and Shelter
  4. Protecting Animal Homes
Everyday Materials
  1. Wood and Stone
  2. Metal, Glass and Plastic
  3. Hard and Soft
  4. Absorbent and Waterproof
Light and Shadows
  1. Sources of Light
  2. Light and Darkness
  3. Making a Shadow
  4. Changing a Shadow
Push, Pull and Movement
  1. Push and Pull
  2. Rolling and Sliding
  3. Fast and Slow
  4. Different Surfaces
Sound and Vibration
  1. Where Sound Comes From
  2. Things That Vibrate
  3. Loud and Soft Sounds
  4. Protecting Our Ears
Heat and Cold
  1. Warm and Cool
  2. Heat from the Sun
  3. Melting and Freezing
  4. Measuring Temperature
Solids, Liquids and Gases
  1. Solids Have Shape
  2. Liquids Can Flow
  3. Air Takes Up Space
  4. Three States of Water
Our Earth
  1. Rocks Around Us
  2. Different Soils
  3. Hills and Mountains
  4. Rivers and Valleys
The Sky and Seasons
  1. Day and Night
  2. The Changing Moon
  3. Stars in the Sky
  4. Changing Seasons
Inside Our Body
  1. Bones and Muscles
  2. How We Breathe
  3. Our Heart and Blood
  4. The Journey of Food
How Plants Work
  1. Roots Take Up Water
  2. Stems Carry Water
  3. Leaves and Sunlight
  4. Flowers and Seeds
Animal Life Cycles
  1. From Egg to Adult
  2. Butterfly Life Cycle
  3. Frog Life Cycle
  4. How Mammals Grow
The Water Cycle
  1. Evaporation
  2. Condensation
  3. How Rain Forms
  4. Water Returns to Earth
Electricity Around Us
  1. Things That Use Electricity
  2. Battery and Bulb
  3. Open and Closed Circuits
  4. Electrical Safety
Amazing Magnets
  1. What Magnets Attract
  2. Magnetic Poles
  3. Testing Different Objects
  4. Using a Compass
Mixtures and Separation
  1. Mixing Materials
  2. What Dissolves?
  3. Filtering Water
  4. Separating a Mixture
Energy and Simple Machines
  1. Energy Around Us
  2. Energy from the Sun
  3. Ramps and Levers
  4. Wheels and Pulleys
Light and Sound in Action
  1. Reflections
  2. Transparent and Opaque Materials
  3. How Sound Travels
  4. Understanding Echoes
Our Place in Space
  1. Earth Turns
  2. Earth Travels Around the Sun
  3. The Moon Reflects Light
  4. Moon Phases
Nature Works Together
  1. Simple Food Chains
  2. Plants and Pollination
  3. Understanding Pollution
  4. Saving Natural Resources
The Little Scientist's Lab
  1. Ask a Question
  2. Predict and Plan
  3. Measure and Record
  4. Explain What Happened

Natural Science for Madrasa Students

Six-month, 24-chapter natural science curriculum for madrasa students aged 12–25. Editorial draft; original chapter-title verification pending.

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Scientific Thinking & InquiryFoundation

Learn how science works through observation, questions, measurement, experiments, models, evidence, explanation, uncertainty, and revision.

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