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Base Ten Numeration

Base Ten

Solvings with Avinto

Solvings

Stem

STEM

Decimals

Operations on Decimals

Percentages

Units of Length

Units of Mass

Units of Time

Units of Capacity

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The Fraction Comparator

Comparison of Fractions

Fractional Forms

Proper, Improper and Mixed Number

Operations on Fractions

Decimals

Operations on Decimals

Percentages

Units of Length

Units of Mass

Units of time

Units of Capacity

Rounding off Numbers

Significant Figures

Approximations in Calculation

Points and Lines

Angles

Constructions

Polygons and Regions

Circles

Algebraic Operations

Equations in one unknown

Equations in Two Unknowns

Inequalities

Rational Numbers

Irrational Numbers

Real Numbers

Ratios

Ratio

Profits and Loss

Simple Interest

Coordinates of a Point

Gradient (Slope) of a Line

Equation of a line

Graphs of Linear equations

Simultaneous Equations

PERIMETERS AND AREAS

Circumference of a Circle

Areas of rectangles and triangles

Areas of trapezium and parallelogram

Area of a circle

Basic Concepts and Terminologies of Biology

Scientific Processes in Biology

The Biology Laboratory

First Aid

Safety at Home and School.

Waste Disposal

The Concept of Health and Immunity

Personal Hygiene and Good Manners

Infections and Diseases

HIV, AIDS, STIs, and STDs

Management of STIs, HIV and AIDS

Care and Support for People Living with HIV and AIDS (PLWHA)

The Concept of Cell

Plant and animal cells

Cell Differentiation

Concept of Classification

Classification Systems

Major Groups of Living Things

Viruses

Kingdom Monera

Kingdom Protoctista

Concept of Physics

Applications of Physics in Real Life

Laboratory Rules and Safety

Basic Principles of Scientific Investigation

Concepts of Measurement

Fundamental Quantities

Derived Quantities

Basic Apparatus

Basic Apparatus/ Equipments and their Uses

Density and Relative Density

Concept of Force

Types of Forces

Effects of Forces

Archimedes Principle

Law of Flotation

Structure of Matter

Elasticity

Adhesion and Cohesion

Surface Tension

Capillarity

Osmosis

Concept of Pressure

Pressure due to Solids

Pressure in Liquids

Atmospheric Pressure

Work

Energy

Power

Sources of Light

Propagation and Transmission of Light

Reflection of Light

The Concept of Chemistry

The Importance of Chemistry in Life

Rules and Safety Precautions in a Chemistry Laboratory

First Aid and First Aid Kit

Chemistry laboratory

Chemistry laboratory apparatus and their uses

Warning Signs

Heat Sources

Types of Flames

Significance of the Scientific Procedure

The Main Steps of the Scientific Procedure

Application of the Scientific Procedure

Concept of Matter

States of Matter

Physical and Chemical Changes

Elements and Symbols

Compounds and Mixtures

Separation of Mixtures

Composition of Air

Combustion

Fire Fighting

Rusting

Preparation and Properties of Oxygen

Uses of Oxygen

Preparation and properties of Hydrogen

Uses of Hydrogen

Occurrence and Nature of Water

Properties of Water

Treatment and Purification of Water

Uses of Water

Fuel Sources

Categories of Fuels

Uses of Fuel

Conservation of Energy

Renewable Energy

Periodicity

General Trends

The atom

Sub-atomic particles

Electronic arrangements

Atomic number, mass number and isotope.

Valence and Chemical Formulae

Oxidation State

Radicals

Covalent Bonding

Electrovalent Bonding

Molecular Equations

Ionic Equations

The Concept of Hardness of Water

Types of Hardness of Water

Treatment and Purification of Hard Water

Acids and Bases

Indicators

Salts

The Mole as a Unit of Measurement

Application of the Mole Concept

Standard volumetric apparatus

Standard Solutions

Volumetric Calculations

Application of Volumetric Analysis

Ionic Theory

The Mechanism of Electrolysis

Laws of Electrolysis

Application of Electrolysis

The rate of chemical reactions

Factors Affecting the Rate of Chemical Reactions

Reversible and Irreversible Reactions

Equilibrium Reaction

Endothermic and Exothermic Reactions

Occurrence and Location of Metals in Tanzania

Chemical Properties of Metals

Extraction of Metals by Electrolytic reduction

Extraction of Metals by Chemical Reduction

Environmental Consideration

Oxides

Hydroxides

Carbonates and Hydrogen carbonates

Nitrates

Chlorides

Sulphates

General Chemical Properties of Non- Metals

Chlorine

Hydrogen Chloride

Sulphur

Sulphur dioxide

Sulphuric acid

Nitrogen

Ammonia

Carbon

Carbon dioxide

Introduction to organic chemistry

organic chemistry

Hydrocarbons

Properties of hydrocarbons

Alcohols

Carboxylic Acids

Soil Formation

Soil Reaction

Plant nutrients in the soil

Manures and fertilizers

Soil fertility and productivity

Concept of Pollution

Terrestrial Pollution

Aquatic Pollution

Aerial Pollution

Environmental Conservation

Global Warming

Ozone Layer Depletion

The Concept of Qualitative Analysis

Qualitative Analysis Procedures

Kingdom Fungi

Kingdom Plantae

Division Filicinophyta (Pteridophyta)

Concepts of Nutrition and Food Nutrients.

Human Nutrition.

Digestive System in Humans

Mineral Requirement in Plants

Photosynthesis

Properties of Food Substances

Food Processing, Preservation, and Storage

The Natural Environment

Interaction of Organisms in the Environment

Food Chain and Food Web

The concept of Transport of Materials in Living Things.

Diffusion, Osmosis and Mass flow

The Concept of Gaseous Exchange

Gaseous Exchange in Mammals

Gaseous Exchange in Plants

Respiration

Aerobic Respiration

Anaerobic Respiration

Infection and Diseases of the Respiratory System

Disorders of the Respiratory System

Division Coniferophyta

Division Coniferophyta (conifers)

Division Angiospermophyta

Division Angiospermophyta (Flowering Plants)

Concept of Movement and Locomotion

The Human Skeletal System

Muscles and Movement

Movement in Plants

Concept of Coordination

Neurones

Central Nervous System (CNS)

Peripheral Nervous System

Peripheral Nervous System (PNS)

Reflex Action

Sense Organs

Drugs and Drug Abuse in Relation to Nervous Coordination

Endocrine glands

Concept of Tropic and Nastic Responses

Concept of Excretion

Excretion in Human

Complications and Disorders of the Excretory System

Excretion in Plants

Concept of Regulation

Temperature Regulation in Animals

Osmoregulation in Mammals

Blood Sugar Regulation in Mammals

Concept of Reproduction

Meiosis and Reproduction

The Structure of the Flower

Pollination

Fertilization

Reproduction in Mammals

Gamete Formation and Fertilization

Multiple Pregnancies

Disorders and Complications of the Reproductive System

Sexuality and Sexual Health

Family Planning and Contraception

Maternal and Child Care

Concept of Growth

Mitosis and Growth

Growth and Developmental stages in Humanity

Growth in Flowering Plants

Concept of Genetics

Genetic Materials

Concept of Inheritance

Mendelian inheritance

Non-Mendelian Inheritance

Sex Determination and Inheritance

Variation among Organisms

Genetic Disorders.

Application of Genetics

Kingdom Animalia

Phylum Platyhelminthes

Phylum Aschelminthes (Nematoda)

Phylum Aschelminthes

Phylum Aschelminthes (Nematoda).

Phylum Annelida

Phylum Arthropoda

Concept of Organic Evolution

Theories of the Origin of life

Lamarckism

Darwinism

Evidence of Organic Evolution

Relationship between HIV, AIDS and STIs

Relationship between HIV, AIDS and STIs.

Management and Control of HIV, AIDS and STIs

Counseling and voluntary Testing (CVT)

EXPONENTS

Radicals

Transposition of Formula

Binary Operations

Brackets in Computation

Quadratic Expressions

Factorization

Solving equations

General solution of a Quadratic Equation

Standard Form

Laws of Logarithms

Tables of Logarithms

Congruence of Triangles

Similar Figures

Reflection

Rotations

Enlargement

Combined Transformations

Proof of Pythagoras Theorem

Application of Pythagoras Theorem

Trigonometric Ratios

Trigonometric Ratios of Special Angles

Trigonometric Tables

Angles of Elevation and Depression

Description of a Set

Types of Sets

Subsets

Operations with Sets

Venn Diagrams

Pictograms

Bar Charts

Line Graphs

Pie Charts

Frequency Distribution Tables

Frequency Polygons

Histograms

Cumulative Frequency Curves

Relations

Graph of a Relation

Domain and Range of a Relation

Inverse of a Relation

Representation of a function

Domain and Range of a Function

Graphic function

Inverse of a Function

Mean

Median

Mode

Rates

Variation

Sequences

Series

Compound Interest

Circles Definition of Terms

Central Angle

Angles Properties

Chord Properties of a Circle

Tangent Properties

Features on Location of Places

Distances Along Great Circles

Distances along small circles

Double Entry

Trial Balance

Trading Profit and Loss

Balance Sheet

Equation of a Line

Midpoint of a Line Segment

Distance Between two points on a plane

Parallel and Perpendicular Lines

Area of any Triangle

Area of a Rhombus

Perimeter of a Regular Polygon

Area of a Regular Polygon

Area of Similar Polygons

Three-Dimensional Figure

Construction of Three-Dimensional Figures

Sketching Three Dimensional Figures

Surface Area of Three-Dimensional Objects

Volume of three-Dimensional Objects

Probability of an Event

Combined Events

Trigonometric Ratios

Sine and Cosine Functions

Sine and Cosine Rules

Compound Angles

Displacement and Position Vectors

Magnitude and Direction of a Vector

Sum and Difference of Vectors

Multiplication of a Vector by a Scalar

Application of Vectors

Operations on Matrices

Inverse of a Matrix

Matrices and Transformations

Concept of Static Electricity

Detection of Charges

Conductors and Insulators

Capacitors

Charge Distribution along the Surface of a Conductor

Lightning Conductor

Concept of Current Electricity

Simple Electric Circuits

Concept of Magnetism

Magnetization and Demagnetization

Magnetic Fields of a magnet

Earth’s Magnetic Field

Moment of a Force

Center of Gravity

Types of equilibrium

Concept of Simple Machines

Levers

Pulleys

Inclined Plane

Screw Jack

Wheel and Axle

Hydraulic Press

Distance and Displacement

Speed and Velocity

Acceleration

Equations of Uniformly Accelerated Motion

Motion under Gravity

First Law of Motion

Second Law of Motion

Conservation of Linear Momentum

Third Law of Motion

Concept of Temperature

Measurement of Temperature

Water Energy

Solar Energy

Wind Energy

Sea Wave Energy

Geothermal Energy

Scalar and Vector Quantities

Relative Motion

Resolution of Vectors

Concept of Friction

Types of Friction

Laws of Friction

Reflection of Light from Curved Mirrors

$Refraction of Light$

Refraction of Light

$Refraction of Light by Rectangular Prism$

Refraction of Light by Rectangular Prism

Colours of light

$Refraction of Light by Lenses$

Refraction of Light by Lenses

Simple Microscope

Compound Microscope

Astronomical Telescope

Projection Lantern

The Lens Camera

The Human Eye

Thermal Energy

Thermal Expansion of Solids

Thermal Expansion of Liquids

Thermal Expansion of Gases

Conduction

Convection

Radiation

Heat Capacity

Change of State

Vapour

Humidity

Electromotive Force (e.m.f) and Potential Difference (P.d)

Resistance to Electric Current

Effects of an Electric Current

Electric Installation

Cells

Introduction to Waves

Behaviour of Waves

Propagation of Waves

Sound Waves

Musical Sound

Electromagnetic Spectrum

Applications of Electromagnetic Wave in Daily Life

Magnetic fields due to a current – carrying conductor

Electromagnetic Induction

The Nucleus of an Atom

Natural Radioactivity

Artificial Radioactivity

Radiation Hazards and Safety

Cathode Rays

Semiconductors

Diodes

Transistor

Single Stage Amplifier

Introduction to Astronomy

Solar System

Constellations

The Earth and the Moon

Structure and Composition of the Earth

Earthquakes and Volcanoes

Structure and Composition of the Atmosphere

The Greenhouse Effect and Global Warming

Natural and Whole Numbers

Integers

$Refraction of Light by Triangular Prism$

Refraction of Light by Triangular Prism

Nuclear Fission and Fusion

X-rays

Phylum Chordata

The Structure of the Mammalian Heart

The Blood

Blood Groups and Blood Transfusion

Blood Circulation

The Lymphatic System

The Vascular System

Absorption and Movement of Water and Mineral Salts in Plants

Simultaneous Equations_form4

Simultaneous Equations

Inequalities_form4

Inequalities

The Objective Function

Maximum and Minimum Values

Ground Water

Inland Drainage

Wetlands and Swamps

Oceans and Seas

Coral Coast

Water Use and Management

Nature of Data

Types of Data Variables

Sources of Data in Geography

Statistical Measures

Methods of Presenting Data

Importance of Research

Research Techniques

Atmosphere

The Shape of the Earth

Structure of the Planet Earth

Isostasy

Plate Tectonics and Continental Drift

Materials of Earth’s Crust

The Impact of Earthquakes

Vulcanism

Denudation and Deposition

Essential Gear

Chain Surveying

Prismatic Compass Survey

Plane Table Survey

Leveling Procedure

Types of Maps

Determining Directions and Areas

Map Orientation

Understanding Features on Maps

Model Development of Landscape

Types of Photographs on Geographical Phenomena

Components and Features of Photographs

Importance and Use of Photographs

Types of Information from Photographs

Concepts of Soils and Soil Profile

Soil Formation

Soil Classification

Soil Fertility

Loss of Soil Fertility

Soil Conservation and Management

Weather and Climate

Weather Changes

Climate Change

Climatology

Concepts of Population and Development

Population Structure

Population Dynamics

Population Growth and Planning

Agricultural Development

Livestock Keeping and Management

Sustainable Use of Fuel and Power

Sustainable Mining

Sustainable Use of Forestry

Sustainable Fishing

Environmental Friendly Tourism

Manufacturing Industries

Transport and Communication

Dalton’s Atomic Theory

Bohr’s Atomic Theory

Atomic Mass

Quantum Theory

Types of Bonds

Hybridization of Atomic Orbitals

The Gas Laws

Kinetic Theory of Gases

Relative Molecular Masses and Densities of Gases

Colligative Properties of Solutions

Laws Governing the Colligative Properties

Immiscible Liquids

Completely Miscible Liquids

The Distribution Law

Heats of Reaction

Hess’s Law

Periodicity

Periodic Trends in Physical Properties

Periodic Trends in Chemical Properties

Diagonal Relationship

REVERSIBLE REACTIONS

EQUILIBRIUM CONSTANT

FACTORS AFFECTING CHEMICAL EQUILIBRIUM

FACTORS AFFECTING THE RATE OF A CHEMICAL REACTION

ORDER OF REACTION

OXIDATION AND REDUCTION

THE NERNST EQUATION

ELECTROLYTES IN SOLUTIONS

ACIDS AND BASES

IONIC EQUILIBRIUM OF ACIDS AND BASES

IONIC PRODUCT OF WATER AND pH

BUFFER SOLUTIONS

SALT HYDROLYSIS

SOLUBILITY

SOLUBILITY PRODUCT

IONIC PRODUCT

EXTRACTION OF METALS BY THERMAL REDUCTION

EXTRACTION OF METALS BY ELECTROLYTIC REDUCTION

CHARACTERISTICS OF TRANSITION ELEMENTS

COMPLEX FORMATION AND LIGANDS

STRUCTURE AND NOMENCLATURE

PREPARATION, PROPERTIES, AND USES OF AMINES

CONCEPT OF POLYMERS

TYPES OF POLYMERS

PREPARATION OF SYNTHETIC POLYMERS

PROPERTIES AND HAZARDS OF POLYMERS

CONSERVATION

POLLUTION

SOIL COLLOIDS

ION EXCHANGE

SOIL REACTION

LIMING AND LIMING MATERIALS

FERTILIZERS AND MANURES

VOLUMETRIC ANALYSIS

QUALITATIVE ANALYSIS

PHYSICAL CHEMISTRY ANALYSIS

Magnetic Fields

Magnetic Properties of Materials

Magnetic Forces

Electromagnetic Induction

Magnetic Field of the Earth

Electric Conduction in Metals

Electric Conduction in Gases

Alternating Current (AC)

The Band Theory of Solids

Semiconductors

Transistors

Logic Gates

Operational Amplifiers

Telecommunication

Structure of the Atom

Quantum Physics

LASER

Nuclear Physics

Agricultural Physics

Energy from the Environment

Earthquakes

Environmental Pollution

Oxides

Hydroxides

Carbonates and Hydrogen Carbonates

Sulphates

Chlorides

Nitrates

Sources of Organic Compounds

Properties of Aliphatic Hydrocarbons

Alkanes

Alkenes

Alkynes

Sources of Hydrocarbons

Properties of Aromatic Hydrocarbons

Substituted Benzene

Structure and Nomenclature

Preparation of Haloalkanes

Chemical Properties

Uses and Hazards of Haloalkanes

Structure and Nomenclature

Preparation of Hydroxyl Compounds

Properties of Hydroxyl Compounds

Uses and Hazards of Hydroxyl Compounds

Structure and Nomenclature

Preparation of Carbonyl Compounds

Properties of Carbonyl Compounds

Uses and Hazards of Carbonyl Compounds

Carboxylic Acids

Esters

Newton’s Laws of Motion

Projectile Motion

Uniform Circular Motion

Simple Harmonic Motion (SHM)

Gravitation

Rotation of Rigid Bodies

Streamline Flow and Continuity

Bernoulli’s Principle

Viscosity and Turbulent Flow

Surface Tension

Elasticity

Kinetic Theory of Gases

Thermometers

Thermal Conduction

Thermal Convection

Thermal Radiation

First Law of Thermodynamics

Mechanical Vibrations

Wave Motion

Sound

Electromagnetic Waves (EM Waves)

Interference

$Diffraction$

Diffraction

Polarization

Doppler Effect

The Electric Field

Electric Potential

Capacitance

Transportation in Plants

Movement of Materials Across the Root

Upward Movement of Water and Mineral Salts

Translocation of Manufactured Food

Transport in Vertebrates

Mitosis

Growth Patterns

Primary and Secondary Growth in Angiosperms

Seed Dormancy and Viability

Meiosis

Fertilization

Fruit and Seed Development

Menstruation and Oestrus Cycle

Fertilization and Zygote Development in Mammals

Birth

Life Cycles of Selected Animals

Hereditary Materials

RNA

DNA

Mendelian Principles of Inheritance

Non-Mendelian Inheritance

Mutation

Theories of the Origin of Life

Theories of Organic Evolution

Palaeontology

Comparative Morphology and Anatomy

Comparative Biochemistry

Biogeography

Selective Breeding

Speciation

Concept of Ecology

Ecosystem

Methods of Studying Ecology

Population Dynamics

REGULATION (HOMEOSTASIS)

Cell Theory

Cell Structure and Function

Eukaryotic Cells

Prokaryotic Cells

Cell Differentiation

Organic Constituents of Cells

Carbohydrates

Lipids

Proteins

Classification Systems

Categories of Classification

Nomenclature

Taxonomic Keys

Viruses

Kingdom Monera (Bacteria)

Concept of Regulation (Homeostasis)

Temperature Regulation

Excretion

Osmoregulation

Gaseous Exchange in Mammals

Gaseous Exchange in Plants

Concept of Respiration

Glycolysis

Krebs Cycle

Basal Metabolic Rate (BMR)

Light Reaction

Dark Reaction

C3 and C4 Plants

Factors Affecting the Rate of Photosynthesis

Digestion in Mammals

Nervous Coordination in Mammals

Nerve Impulses

Receptors

Hormonal Coordination in Mammals

Coordination in Plants

Tactic Movements

Nastic Movements

Viruses

Errors

Physical Quantities

Concept of Cytology

NUMERICAL METHODS

Computer Packages

Operations on Sets

Simplification of Set Expressions

Number of Elements of a Set

Statements

Logical Connectives

Laws of Algebra of Proposition

Validity of Argument

Electrical Networks

Rectangular Cartesian Coordinates

Ratio Theorem

Circle

Graphs of Functions

Sequences

Series

Proof by Mathematical Induction

Roots of a Polynomial Function

Remainder Theorem

Inequalities

Matrices

Binomial Theorem

Partial Fractions

Trigonometric Ratios

Trigonometric Identities

Compound Angle Formula

Double Angle Formula

Multiple Angle Formula

Factor Formulae

Radians and Small Angles

Trigonometric Functions

Inverse Trigonometric Functions

Linear Programming

Derivatives

Differentiation of a Function

Application of Differentiation

Taylor’s Series and Maclaurin’s Series

Introduction to Partial Derivatives

Anti-Derivatives

Integration of Functions

Application of Integration

Conic Sections

The Parabola

The Ellipse

The Hyperbola

Polar Coordinates

Vectors Representation

Dot Product

Cross Product

Vector Differentiation and Integration

Hyperbolic Cosine and Sine

Derivative of Hyperbolic Functions

Integration of Hyperbolic Functions

STATISTICS_ADV

Counting Techniques for the Sample Space

Probability Axioms and Theorems

Conditional Probability

Probability Distributions

Special Probability Distributions

Complex Number

De Moivre’s Theorem

Differential Equations

First-Order Differential Equations

Second-Order Differential Equations

Errors_Numerical

Roots by Iterative Methods

Numerical Integration

Coding and Mathematics

General

Creative Writing and Poetry

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