P6 Mathematics
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🔢📐🧠✏️ P6 Mathematics Courses
Welcome to the Primary 6 Mathematics Program!
This course is the final step of primary-level mathematics, designed to strengthen learners’ skills in arithmetic, geometry, measurement, data handling, and problem-solving while preparing them for national examinations.
Learners consolidate their knowledge through guided practice, real-life applications, and exam-style exercises, ensuring they are confident and ready for secondary-level mathematics.
📘 What Learners Will Explore:
- Whole numbers, fractions, decimals, and percentages
- Ratio, proportion, and word problem applications
- Measurement of length, area, perimeter, volume, and time
- Geometry: shapes, angles, symmetry, and transformations
- Data handling: tables, graphs, and interpretation
- Simple algebraic expressions and patterns
- Preparation for primary leaving examinations
🧠 The 4Cs in Action:
- Critical Thinking: Tackling challenging word problems and logical puzzles.
- Creativity: Finding multiple methods to solve the same problem.
- Communication: Explaining solutions step by step with clarity.
- Collaboration: Working in study groups to practice exam-style questions.
- 15 Sections
- 188 Lessons
- 4 Weeks
- UNIT 1: READING, WRITING, COMPARING AND CALCULATING WHOLE NUMBERS BEYOND 1,000,000In this unit, you will learn how to read, write, compare, and calculate whole numbers beyond one million. You will explore the place values of large numbers, how to form and order them, and how to perform the four basic operations — addition, subtraction, multiplication, and division. You will also learn how to round numbers to different place values and apply these skills to solve real-life mathematical problems involving large numbers.19
- 1.1Lesson 0: Introductory Activity
- 1.2Lesson 1: Place Values of Whole Numbers up to Seven Digits
- 1.3Lesson 2: Forming Numbers Beyond 1,000,000 Using Number Cards or Given Digits
- 1.4Lesson 3: Reading and Writing Numbers Beyond 1,000,000 in Figures and Words
- 1.5Lesson 4: Comparing Numbers Using , or =
- 1.6Lesson 5: Arranging Numbers in Ascending and Descending Order
- 1.7Lesson 7: Solving Real-Life Problems Involving Addition of Whole Numbers Beyond 1,000,000
- 1.8Lesson 8: Addition and Subtraction of Whole Numbers Using a Wooden Vertical Abacus
- 1.9Lesson 6: Addition of Whole Numbers Beyond 1,000,000
- 1.10Lesson 9: Subtraction of Numbers Beyond 1,000,000
- 1.11Lesson 10: Solving Real-Life Problems Involving Subtraction of Numbers Beyond 1,000,000
- 1.12Lesson 11: Multiplying Numbers Beyond 1,000,000
- 1.13Lesson 13: Dividing Numbers Beyond 1,000,000
- 1.14Lesson 14: Solving Problems Using Calculation Strategies on Division
- 1.15Lesson 12: Solving Problems Using Calculation Strategies on Multiplication
- 1.16Lesson 15: Rounding Off Whole Numbers to the Nearest Tens
- 1.17Lesson 17: Rounding Off Whole Numbers to the Nearest Ten Thousand, Hundred Thousand, and Millions
- 1.18Lesson 18: Review & End of Unit Assessment
- 1.19Lesson 16: Rounding Off Whole Numbers to the Nearest Hundreds and Thousands
- UNIT 2: MULTIPLICATION AND DIVISION OF INTEGERSThis unit helps learners understand how to multiply and divide integers using various models such as counters and number lines. They will learn to apply rules of signs in multiplication and division and solve real-life problems involving integers.8
- 2.1Lesson 0: Introduction
- 2.2Lesson 1: Multiplying Integers Using Counters
- 2.3Lesson 2: Multiplying Integers Using a Number Line
- 2.4Lesson 4: Dividing Integers Using a Number Line
- 2.5Lesson 3: Multiplying Integers Without Using a Number Line
- 2.6Lesson 5: Dividing Integers Without Using a Number Line
- 2.7Lesson 6: Solving Problems Involving Multiplication and Division of Integers
- 2.8Lesson 7: End of Unit Assessment
- UNIT 3: POWERS, INDICES, LCM AND GCFIn this unit, learners will study powers and indices, including the laws of multiplication and division of indices. They will also explore the concepts of Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) and apply them in solving mathematical problems.14
- 3.1Lesson 0: Introduction to Indices
- 3.2Lesson 1: Defining Base and Exponent
- 3.3Lesson 2: Law of Multiplication of Indices
- 3.4Lesson 3: Law of Division of Indices
- 3.5Lesson 4: Multiplying and Dividing Indices
- 3.6Lesson 5: Finding Unknowns Using the Law of Multiplying Indices
- 3.7Lesson 6: Finding Unknowns Using the Law of Dividing Indices
- 3.8Lesson 7: Finding the Lowest Common Multiple (LCM) of Numbers
- 3.9Lesson 9: Factors of a Whole Number
- 3.10Lesson 10: Finding the Greatest Common Factor (GCF) of Numbers
- 3.11Lesson 8: Solving Problems Involving LCM
- 3.12Lesson 11: Solving Problems Involving GCF
- 3.13Lesson 13: End of Unit Assessment
- 3.14Lesson 12: Finding Unknown Numbers Using LCM and GCF
- UNIT 4: OPERATIONS ON FRACTIONSThis unit develops learners’ understanding of multiplication and division of fractions. They will explore how to multiply and divide fractions by whole numbers and by other fractions, find reciprocals, and apply these skills in solving real-life problems.11
- 4.1Lesson 0: Introduction of the Unit
- 4.2Lesson 1: Multiplying a Whole Number by a Fraction
- 4.3Lesson 2: Multiplying a Fraction by a Whole Number
- 4.4Lesson 3: Multiplying a Fraction by Another Fraction
- 4.5Lesson 4: Finding Reciprocals
- 4.6Lesson 5: Dividing a Whole Number by a Fraction
- 4.7Lesson 6: Dividing a Fraction by a Whole Number
- 4.8Lesson 7: Dividing a Fraction by Another Fraction
- 4.9Lesson 9: Solving Problems Involving Multiplication and Division of Fractions
- 4.10Lesson 10: End of Unit Assessment
- 4.11Lesson 8: Multiplying and Dividing Fractions
- UNIT 5: ROUNDING AND CONVERSION OF DECIMAL NUMBERSLearners will gain skills in rounding decimal numbers to different place values and converting between fractions and decimals. The unit emphasizes practical problem-solving using rounding and conversion methods in real-life contexts.12
- 5.1Lesson 0: Introductory Activity
- 5.2Lesson 1: Rounding Off Decimal Numbers to the Nearest Tenths
- 5.3Lesson 2: Rounding Off Decimal Numbers to the Nearest Hundredths
- 5.4Lesson 3: Rounding Off Decimal Numbers to the Nearest Thousandths
- 5.5Lesson 5: Rounding Off Decimal Numbers to the Nearest Hundred Thousandths
- 5.6Lesson 6: Rounding Off Decimal Numbers to the Nearest Millionths
- 5.7Lesson 4: Rounding Off Decimal Numbers to the Nearest Ten Thousandths
- 5.8Lesson 7: Solving Problems Involving Rounding Off Decimal Numbers
- 5.9Lesson 8: Converting Fractions into Decimals
- 5.10Lesson 9: Converting Decimals into Fractions
- 5.11Lesson 11: End of Unit Assessment and Remediation
- 5.12Lesson 10: Solving Problems Involving Conversion Between Fractions and Decimals
- UNIT 6: RATIOS, PROPORTIONS AND PERCENTAGESIn this unit, learners explore the concepts of ratios, proportions, and percentages. They will learn how to compare quantities, convert between percentages, decimals, and fractions, and solve practical problems involving increase, decrease, profit, and loss. The unit also emphasizes sharing quantities in given ratios and applying these skills in real-life contexts.19
- 6.1Lesson 0: Introduction of the Unit
- 6.2Lesson 1: Converting Percentages into Decimals
- 6.3Lesson 2: Converting Decimals into Percentages
- 6.4Lesson 3: Converting Percentages into Fractions
- 6.5Lesson 4: Converting Fractions into Percentages
- 6.6Lesson 5: Comparing Quantities as Percentages
- 6.7Lesson 6: Comparing Percentages as Quantities
- 6.8Lesson 8: Decreasing a Number by a Percentage
- 6.9Lesson 7: Increasing a Number by a Percentage
- 6.10Lesson 9: More About Increasing and Decreasing Quantities by Percentage
- 6.11Lesson 10: Finding Percentage Increase and Decrease
- 6.12Lesson 11: Finding Percentage Profit and Percentage Loss
- 6.13Lesson 13: Finding Ratios
- 6.14Lesson 14: Sharing Quantities in Ratios
- 6.15Lesson 15: Increasing and Decreasing Quantities in Ratios
- 6.16Lesson 16: Finding the Ratio of Increase and Decrease
- 6.17Lesson 17: Solving Problems Involving Ratios
- 6.18Lesson 12: Solving Problems Involving Percentages
- 6.19Lesson 18: End of Unit Assessment
- UNIT 7: RELATIONSHIP BETWEEN VOLUME, CAPACITY AND MASSThis unit helps learners understand the relationship between the measurements of volume, capacity, and mass. Through observation and practice, they will learn to convert between related units and solve real-life problems involving water, solids, and liquids.7
- 7.1Lesson 0: Introduction of the Unit — Understanding the Relationship Between Volume, Capacity, and Mass
- 7.2Lesson 1: Revision on Capacity Measurements — Solving Problems Involving Conversion of Capacity
- 7.3Lesson 2: Revision on Mass Measurements — Solving Problems Involving Conversion of Mass
- 7.4Lesson 4: Relationship Between Units of Volume, Capacity, and Mass — Establishing the Relationship Among Them
- 7.5Lesson 3: Measurement of Volume — Solving Problems Involving Measurement of Volume
- 7.6Lesson 5: Real-Life Problems Involving Conversion Between Units of Volume, Capacity, and Mass
- 7.7Lesson 6: End of Unit Assessment
- UNIT 8: SPEED, DISTANCE AND TIMELearners will explore the concepts of time, speed, and distance. They will learn to convert between 12-hour and 24-hour time formats, understand time zones, and calculate speed, distance, and time. Emphasis is placed on solving real-life mathematical problems related to motion.12
- 8.1Lesson 0: Introduction of the Unit — Arousing Curiosity on the Content
- 8.2Lesson 2: Converting Between 12-Hour and 24-Hour Time Formats
- 8.3Lesson 3: The Concept of Time Zones
- 8.4Lesson 4: Solving Mathematical Problems Relating to Time Zones
- 8.5Lesson 1: Comparing the 12-Hour and 24-Hour Formats
- 8.6Lesson 6: Converting Speed from km/h to m/s
- 8.7Lesson 7: Converting Speed from m/s to km/h
- 8.8Lesson 8: Distance Covered by a Moving Body
- 8.9Lesson 5: Speed of a Moving Body
- 8.10Lesson 9: Time Taken by a Moving Body to Cover a Given Distance
- 8.11Lesson 10: Calculating Average Speed
- 8.12Lesson 11: End of Unit Assessment
- UNIT 9: SIMPLE INTEREST AND PROBLEMS INVOLVING SAVINGThis unit introduces learners to the concept of simple interest and its application in saving and investment. They will learn to calculate principal, rate, time, interest, and amount of money, and apply these concepts to real-life financial situations such as bank savings and investments.15
- 9.1Lesson 0: Introduction of the Unit — Arousing Curiosity
- 9.2Lesson 1: Calculating Simple Interest
- 9.3Lesson 2: More About Calculating Simple Interest
- 9.4Lesson 3: Solving Problems Involving Simple Interest
- 9.5Lesson 4: Calculating Interest Rate
- 9.6Lesson 5: Solving Problems Involving Interest Rate
- 9.7Lesson 7: Solving Problems Involving Principal
- 9.8Lesson 8: Calculating the Time
- 9.9Lesson 6: Calculating Principal
- 9.10Lesson 9: Solving Problems Involving Time
- 9.11Lesson 10: Calculating the Amount of Money
- 9.12Lesson 11: Solving Problems Involving Amount of Money
- 9.13Lesson 13: Solving Problems Involving Savings
- 9.14Lesson 14: End of Unit Assessment
- 9.15Lesson 12: Saving Money in the Bank or Putting It in Investments
- UNIT 10: EQUIVALENT EXPRESSIONS AND NUMBER SEQUENCESIn this unit, learners will develop understanding of algebraic expressions and number sequences. They will learn how to find equivalent expressions, identify patterns in number sequences, and determine general rules (nth terms) for linear sequences involving whole numbers, fractions, and decimals.11
- 10.1Lesson 0: Introduction of the Unit — Preparing and Motivating Learners
- 10.2Lesson 1: Algebraic Expressions
- 10.3Lesson 2: Equivalent Expressions
- 10.4Lesson 3: Finding Missing Consecutive Numbers
- 10.5Lesson 4: Finding Missing Consecutive Fractions and Decimals
- 10.6Lesson 6: Finding the General Term/Rule for Fractions and Decimals
- 10.7Lesson 5: Finding the General Term/Rule of a Linear Sequence
- 10.8Lesson 7: Finding the Missing Number or nth Term in a Linear Sequence
- 10.9Lesson 8: Finding the Missing Fraction or nth Term in a Linear Sequence
- 10.10Lesson 9: Finding Number Sequences Using the General Rule
- 10.11Lesson 10: End of Unit Assessment
- UNIT 11: REGULAR POLYGONS AND BEARINGSIn this unit, learners will explore different types of polygons and study their properties. They will investigate the relationships between interior, exterior, and central angles of regular polygons, calculate their perimeters and areas, and apply bearings and compass directions to locate objects and describe positions.14
- 11.1Lesson 0: Introduction of the Unit — Arousing Learners’ Curiosity
- 11.2Lesson 1: Definition of Polygons and Their Examples
- 11.3Lesson 4: Finding Interior and Exterior Angles of a Regular Polygon
- 11.4Lesson 3: Investigating the Sum of Interior and Exterior Angles of a Regular Polygon
- 11.5Lesson 5: Finding the Sum of Interior Angles of a Regular Polygon
- 11.6Lesson 2: Investigating Central, Interior, and Exterior Angles of a Polygon
- 11.7Lesson 6: Exterior Angles of Regular Polygons and Their Sum
- 11.8Lesson 7: Finding Perimeter of Regular Polygons
- 11.9Lesson 8: Finding Area of Regular Polygons
- 11.10Lesson 9: Finding Sides and Apothem of a Regular Polygon
- 11.11Lesson 10: Finding Bearings and Compass Points
- 11.12Lesson 11: Finding the Bearing of an Object
- 11.13Lesson 12: Exploring the Concept of Tiling and Construction
- 11.14Lesson 13: End of Unit Assessment
- UNIT 12: CONSTRUCTION OF POLYGONS AND NETS FOR CUBOIDS AND PRISMSThis unit introduces learners to geometric constructions. Learners will use a ruler, protractor, and compass to construct various polygons, including triangles, squares, and hexagons. They will also design and interpret nets for cuboids, cubes, and prisms.15
- 12.1Lesson 0: Introduction of the Unit — Objectives of the Unit
- 12.2Lesson 1: Drawing Triangles Using a Protractor and Ruler
- 12.3Lesson 2: Drawing a Square Using a Protractor and Ruler
- 12.4Lesson 4: Drawing a Regular Pentagon Using a Protractor and Ruler
- 12.5Lesson 3: Drawing a Rectangle Using a Protractor and Ruler
- 12.6Lesson 5: Drawing a Regular Hexagon Using a Protractor and Ruler
- 12.7Lesson 6: Constructing Triangles Using a Compass and Ruler
- 12.8Lesson 7: Constructing a Square Using a Compass and Ruler
- 12.9Lesson 9: Finding the Central Angle of a Regular Polygon
- 12.10Lesson 10: Constructing a Regular Pentagon and Regular Hexagon
- 12.11Lesson 11: Constructing a Regular Heptagon and Regular Octagon
- 12.12Lesson 8: Constructing a Rectangle Using a Compass and Ruler
- 12.13Lesson 12: Constructing a Regular Nonagon and Decagon
- 12.14Lesson 13: Designing Nets of Cuboids, Cubes, and Prisms
- 12.15Lesson 14: End of Unit Assessment
- UNIT 13: AREA BOUNDED BY A CIRCLE, SURFACE AREA AND VOLUME OF SOME SOLIDSLearners will study the area and surface area of various solids and explore the relationship between shape, space, and measurement. They will learn to calculate the surface area and volume of cylinders, prisms, pyramids, cones, and spheres using nets and formulas.14
- 13.1Lesson 0: Introductory Activity — Introduction to the Unit
- 13.2Lesson 1: Estimating the Area Bounded by a Circle Using Squared Paper
- 13.3Lesson 2: Exploring the Area of a Circle Using Circumference and Radius
- 13.4Lesson 4: Surface Area of a Prism (Using Net and Formula)
- 13.5Lesson 3: Surface Area of a Cylinder (Using Net and Formula)
- 13.6Lesson 5: Surface Area of a Pyramid (Using Net and Formula)
- 13.7Lesson 6: Surface Area of a Cone (Using Net and Formula)
- 13.8Lesson 7: Surface Area of a Sphere
- 13.9Lesson 9: Finding the Volume of a Cylinder
- 13.10Lesson 10: Finding the Volume of a Cone
- 13.11Lesson 11: Finding the Volume of a Pyramid
- 13.12Lesson 8: Finding the Volume of a Prism
- 13.13Lesson 12: Finding the Volume of a Sphere
- 13.14Lesson 13: End of Unit Assessment
- UNIT 14: DATA HANDLINGThis unit helps learners understand how to collect, organize, and interpret data. They will learn to represent data using frequency tables, bar charts, and pie charts, and to draw conclusions from data representations. Learners will also engage in small projects that involve real data collection and presentation.11
- 14.1Lesson 0: Introduction of the Unit
- 14.2Lesson 1: Collecting and Organizing Data to Investigate a Question
- 14.3Lesson 2: Exploring Tally and Frequency Tables — Introduction to Projects
- 14.4Lesson 4: Representing Data in Bar Charts
- 14.5Lesson 5: Interpreting Data in Bar Charts
- 14.6Lesson 6: Representing Data in Pie Charts
- 14.7Lesson 7: Interpreting Data in Pie Charts to Draw Conclusions
- 14.8Lesson 3: Interpreting Data in Frequency Tables
- 14.9Lesson 8: Collecting Data, Summarizing It in a Table, and Representing It in a Bar or Pie Chart
- 14.10Lesson 10: Presentation of Projects
- 14.11Lesson 9: End of Unit Assessment
- UNIT 15: LIKELIHOOD OF EVENTSIn this unit, learners will explore the concept of chance and probability. They will use appropriate vocabulary such as certain, impossible, likely, and unlikely to describe events, and will perform simple experiments to understand outcomes and likelihoods.6
- 15.1Lesson 0: Introduction of the Unit
- 15.2Lesson 2: Vocabulary of Chance — Equally Likely, Unlikely, Likely
- 15.3Lesson 1: Vocabulary of Chance — Impossible and Certain
- 15.4Lesson 4: Determining the Likelihood of Events
- 15.5Lesson 5: End of Unit Assessment
- 15.6Lesson 3: Exploring Expected Outcomes to Identify Less Likely and More Likely Events
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"P6 Mathematics helped me practice a lot for my exams. I now understand fractions, decimals, and geometry much better. The problem-solving exercises gave me confidence for the national exams." — P6 Student
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