P5 Mathematics
Description
🔢📐🧠✏️ P5 Mathematics Courses
Welcome to the Primary 5 Mathematics Program!
This course strengthens learners’ skills in arithmetic, measurement, geometry, fractions, and problem-solving, laying a solid foundation for the final year of primary mathematics.
Learners explore mathematical concepts through real-life applications, guided practice, and teamwork, preparing them for both everyday use and academic progression.
📘 What Learners Will Explore:
- Whole numbers and operations (addition, subtraction, multiplication, division)
- Factors, multiples, and divisibility rules
- Fractions and decimals: operations and applications
- Percentages in real-life contexts
- Geometry: lines, angles, triangles, and quadrilaterals
- Measurement: perimeter, area, time, and money
- Introduction to simple graphs and data representation
- Problem-solving strategies
🧠 The 4Cs in Action:
- Critical Thinking: Solving word problems and applying logic to new situations.
- Creativity: Using different approaches to explain solutions.
- Communication: Sharing mathematical reasoning in discussions and group work.
- Collaboration: Practicing in pairs and groups to solve complex tasks.
Curriculum
- 15 Sections
- 142 Lessons
- 4 Weeks
Expand all sectionsCollapse all sections
- UNIT 1: Reading, Writing, Comparing and Calculating Whole Numbers up to 1,000,000This unit helps learners understand the place value of digits in large numbers, how to read, write, compare, and order numbers up to one million. They also learn to perform the four basic operations (addition, subtraction, multiplication, and division) on large numbers and apply them to solve real-life problems involving money, measurement, and quantities.20
- 1.1Lesson 1: Place value of digits for whole numbers up to 1,000,000
- 1.2Lesson 2: Reading and writing numbers up to 1,000,000 in figures
- 1.3Lesson 3: Forming and reading numbers using number cards
- 1.4Lesson 4: Reading and writing numbers in figures and in words up to 1,000,000
- 1.5Lesson 5: Comparing numbers using or =
- 1.6Lesson 6: Add whole numbers using a local abacus
- 1.7Lesson 8: Addition of 3 or more whole numbers of 6 digits with carrying
- 1.8Lesson 9: Subtraction of 2 numbers of 6 digits without borrowing
- 1.9Lesson 10: Subtraction of 2 numbers of 6 digits with borrowing
- 1.10Lesson 7: Addition of whole numbers of 6 digits without carrying
- 1.11Lesson 12: Quick multiplication of a 3-digit number by 9 or by 11
- 1.12Lesson 11: Quick multiplication of a 3-digit number by 5
- 1.13Lesson 14: Quick multiplication of a 3-digit number by 19 or by 49
- 1.14Lesson 13: Quick multiplication of a 3-digit number by 50 or by 25
- 1.15Lesson 15: Quick multiplication of a 3-digit number by 90 or by 99
- 1.16Lesson 17: Division without a remainder of a 3-digit number by a 2-digit number
- 1.17Lesson 16: Multiplying whole numbers by a 3-digit number
- 1.18Lesson 18: Division by a 2-digit number with a remainder
- 1.19Lesson 19: Solve real life problems involving addition, subtraction, multiplication or division
- 1.20Lesson 20: End of Unit Assessment
- UNIT 2: Addition and Subtraction of IntegersLearners explore positive and negative numbers (integers) and how they are used in real situations such as temperature, altitude, and financial transactions. They learn addition and subtraction of integers using number lines and calculation methods and apply these skills in solving real-life problems.7
- 2.1Lesson 1: Addition of integers using a number line
- 2.2Lesson 2: Addition of integers by calculation
- 2.3Lesson 3: Subtraction of integers using a number line
- 2.4Lesson 5: Additive inverses (opposite) of numbers
- 2.5Lesson 6: Solving problems involving addition and subtraction of integers
- 2.6Lesson 4: Subtraction of integers using calculation
- 2.7Lesson 7: End of Unit Assessment
- UNIT 3: Prime Factorization and Divisibility TestsThis unit introduces the concept of prime numbers and factorization, helping learners express numbers as products of prime factors. They also study divisibility rules for numbers 2 to 10 and use them to find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of given numbers.13
- 3.1Lesson 3: Calculation of the Lowest Common Multiple (LCM)
- 3.2Lesson 1: Prime factorization of numbers and its uniqueness
- 3.3Lesson 5: Divisibility test for 2
- 3.4Lesson 4: Calculation of the Greatest Common Factor (GCF)
- 3.5Lesson 6: Divisibility test for 3
- 3.6Lesson 2: Prime factorizing using indices as shorthand for repeated factors
- 3.7Lesson 7: Divisibility test for 4
- 3.8Lesson 8: Divisibility test for 5
- 3.9Lesson 9: Divisibility test for 6
- 3.10Lesson 10: Divisibility test for 8
- 3.11Lesson 12: Divisibility test for 10
- 3.12Lesson 11: Divisibility test for 9
- 3.13Lesson 13: End of Unit Assessment
- UNIT 4: Equivalent Fractions and OperationsLearners explore the meaning of equivalent fractions using visual models. They practice comparing, adding, and subtracting fractions with different denominators, including mixed numbers. The unit develops learners’ ability to solve fraction problems that relate to everyday life.13
- 4.1Lesson 2: Meaning of equivalent fractions
- 4.2Lesson 1: Exploring and comparing fractions using models
- 4.3Lesson 3: Finding equivalent fractions
- 4.4Lesson 4: Shading the equivalent fractions
- 4.5Lesson 6: Addition of fractions with different denominators using equivalent fractions
- 4.6Lesson 7: Addition of mixed numbers and fractions with different denominators
- 4.7Lesson 8: Subtraction of fractions with different denominators using models or circle set fractions
- 4.8Lesson 5: Addition of fractions with different denominators using models or circle set fractions
- 4.9Lesson 9: Subtraction of fractions with different denominators using equivalent fractions
- 4.10Lesson 11: Solving word problems involving addition of fractions
- 4.11Lesson 12: Solving word problems involving subtraction of fractions
- 4.12Lesson 13: End of Unit Assessment
- 4.13Lesson 10: Subtraction of mixed numbers and fractions with different denominators
- UNIT 5: Multiplication and Division of Decimal NumbersThis unit deepens understanding of decimal numbers and their place values. Learners perform multiplication and division of decimals and convert between fractions and decimals. They also apply these skills to solve real-world problems involving money, measurements, and data.10
- 5.1Lesson 2: Place value of decimals
- 5.2Lesson 1: Illustration of the concept of decimal fractions through examples
- 5.3Lesson 3: Comparing and ordering decimal numbers
- 5.4Lesson 4: Conversion of fractions to decimals
- 5.5Lesson 5: Conversion of decimals to fractions
- 5.6Lesson 6: Multiplication of decimal numbers
- 5.7Lesson 7: Division of decimal numbers
- 5.8Lesson 8: Mixed operations for multiplication and division
- 5.9Lesson 9: Solving problems involving multiplication and division of decimals
- 5.10Lesson 10: End of Unit Assessment
- UNIT 6: Application of Direct ProportionLearners understand the concept of direct proportion through everyday examples such as distance–time relationships and cost–quantity relationships. They use ratios, scales, and proportional reasoning to solve mathematical and practical problems.7
- 6.1Lesson 1: Meaning of direct proportion
- 6.2Lesson 2: Ratios and direct proportion
- 6.3Lesson 3: Constant of proportionality and the application of direct proportion in real life
- 6.4Lesson 4: Scale drawing and direct proportion
- 6.5Lesson 6: Problems involving direct proportion
- 6.6Lesson 7: End of Unit Assessment
- 6.7Lesson 5: Problems involving ratios
- UNIT 7: Solving Problems Involving Measurements of Length, Capacity and MassThis unit builds on prior measurement skills. Learners solve problems involving length, capacity, and mass by interpreting scales, finding intervals, and converting between units. Practical tasks encourage measurement accuracy and estimation.4
- UNIT 8: Solving Problems Involving Time IntervalsLearners strengthen their understanding of time by converting between units (seconds, minutes, hours, and days) and determining time intervals. They solve practical problems using clocks, watches, and calendars related to scheduling and daily activities.8
- 8.1Lesson 1: Converting hours into minutes
- 8.2Lesson 2: Converting minutes into hours
- 8.3Lesson 3: Converting hours into seconds
- 8.4Lesson 4: Changing days into hours
- 8.5Lesson 5: Changing hours into days
- 8.6Lesson 6: Finding time intervals or time taken by an event using clock face, watch and calendar
- 8.7Lesson 7: Real life problems involving addition and subtraction of time
- 8.8Lesson 8: End of Unit Assessment
- UNIT 9: Money and Its Financial ApplicationsThis unit helps learners understand Rwandan currency, perform calculations with money, and apply financial literacy skills such as budgeting, buying and selling, and currency conversion. Role-play and real-life simulations enhance practical understanding.6
- UNIT 10: Sequences that Include Whole Numbers, Fractions and DecimalsLearners identify and extend numerical patterns involving whole numbers, fractions, and decimals. They discover rules for arithmetic and geometric sequences and use them to predict subsequent terms, enhancing reasoning and logical thinking.9
- 10.1Lesson 1: Ordering whole numbers according to their size in increasing order
- 10.2Lesson 2: Ordering whole numbers according to their size in decreasing order
- 10.3Lesson 3: Simple sequences
- 10.4Lesson 4: Simple sequences that include fractions
- 10.5Lesson 5: Simple sequences that include decimals
- 10.6Lesson 6: Sequences with constant differences
- 10.7Lesson 7: Sequences with constant ratios
- 10.8Lesson 8: Sequences where the changing difference is a geometric sequence
- 10.9Lesson 9: End of Unit Assessment
- UNIT 11: Constructing Angles and Describing Angles Formed by Intersecting LinesThis unit develops learners’ geometric construction skills. They learn to use a ruler, protractor, and compass to draw and bisect angles and identify relationships between angles formed by intersecting and parallel lines. They apply angle properties to problem solving.14
- 11.1Lesson 1: Construction of different angles with a protractor
- 11.2Lesson 2: Bisection of angles (using folding)
- 11.3Lesson 3: Bisecting angles using a pair of compasses and a ruler
- 11.4Lesson 4: Constructing 90°, 45°, and 22.5° angles
- 11.5Lesson 5: Constructing 60°, 30°, and 15° angles
- 11.6Lesson 6: Constructing 120° and 150° angles
- 11.7Lesson 7: Identify different lines and angles formed on real objects
- 11.8Lesson 8: Perpendicular lines
- 11.9Lesson 9: Properties related to angles formed by intersecting lines
- 11.10Lesson 10: Angle properties of parallel lines: corresponding angles
- 11.11Lesson 11: Angle properties of parallel lines: alternate angles
- 11.12Lesson 12: Angle properties of parallel lines: co-interior angles
- 11.13Lesson 13: Sum of angles of a triangle
- 11.14Lesson 14: End of Unit Assessment
- UNIT 12: Interpreting and Constructing Scale DrawingsLearners explore the concept of scale drawing by relating real objects to their representations on paper or maps. They construct scale drawings, determine scales, and calculate actual distances or drawing lengths, linking mathematics to geography and design.6
- 12.1Lesson 1: Concept of scale drawing of actual size and the size on a map
- 12.2Lesson 2: Finding the scale to which a real object will be drawn on a sheet of paper
- 12.3Lesson 3: Construction of scale drawings
- 12.4Lesson 4: Finding actual distance
- 12.5Lesson 5: Finding the drawing length
- 12.6Lesson 6: End of Unit Assessment
- UNIT 13: Calculating Circumference of a Circle, Surface Area and Volume of Cubes and CuboidsThis unit introduces measurement of curved and solid shapes. Learners find the circumference of circles using π and calculate the surface area and volume of cubes and cuboids using formulas and nets. They apply this knowledge to real-life construction and packaging situations.11
- 13.1Lesson 1: Circumference of circular objects
- 13.2Lesson 2: The number pi (π)
- 13.3Lesson 3: Properties of cube and cuboids
- 13.4Lesson 4: Use of nets to calculate the surface area of cubes
- 13.5Lesson 5: Use of nets to calculate the surface area of cuboids
- 13.6Lesson 6: Calculating the volume of a cube and a cuboid
- 13.7Lesson 7: Finding one dimension of a cuboid
- 13.8Lesson 8: Find the height of a cuboid given its volume and base area
- 13.9Lesson 9: Finding the area of a face of cuboids
- 13.10Lesson 10: Project: Building real life objects using nets of solids
- 13.11Lesson 11: End of Unit Assessment
- UNIT 14: Data HandlingLearners collect, organize, and represent quantitative data using tables, tally charts, bar charts, and line graphs. They interpret graphs to draw conclusions and conduct simple projects involving data collection and presentation.9
- 14.1Lesson 1: Definition and examples of quantitative data
- 14.2Lesson 2: Type of quantitative data
- 14.3Lesson 3: Record data using tally chart
- 14.4Lesson 4: Representing data using bar charts
- 14.5Lesson 5: Interpreting bar charts to draw a conclusion
- 14.6Lesson 6: Representing data using line graphs
- 14.7Lesson 7: Interpreting line graphs to draw a conclusion
- 14.8Lesson 8: Project: Data detectives collecting and graphing real life events
- 14.9Lesson 9: End of Unit Assessment
- UNIT 15: Introduction to Likelihood of EventsThis unit introduces basic probability. Learners use everyday contexts and experiments (like tossing dice) to discuss events that are certain, possible, or impossible. They develop vocabulary and reasoning skills for describing and comparing likelihoods of events.5
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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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