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How to learn Primary 5: Mathematics

Competence-Based Curriculum (Rwanda Basic Education Board): Mathematics, Primary 5

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1. NUMBERS · OPERATIONS ON WHOLE NUMBERS

  1. Reading and writing numbers (age 9+): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding

2. NUMBERS · INTEGERS

  1. Positive and Negative Numbers: Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances

3. NUMBERS · TYPES OF NUMBERS, FACTORS, AND MULTIPLES

  1. Factors, multiples, and primes (age 11+): Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple (LCM), and prime factorisation including product notation and the unique factorisation property

4. FRACTIONS AND PROPORTIONAL REASONING · OPERATIONS ON FRACTIONS

  1. Fraction Addition Concepts: Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way

5. FRACTIONS AND PROPORTIONAL REASONING · OPERATIONS ON DECIMALS

  1. Decimals and fractions (age 10+): Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between simple fractions, decimals, and percentages in different contexts

6. FRACTIONS AND PROPORTIONAL REASONING · RATIOS, PROPORTIONS AND PERCENTAGES

  1. Percentages (age 9+): Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and out of — and understand the difference between ratio (comparing parts to parts) and proportion (comparing a part to the whole)

7. MEASUREMENT · LENGTH, CAPACITY, AND MASS

  1. Measuring length (age 10+): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units

8. MEASUREMENT · TIME

  1. Telling time to the minute (age 9+): Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days)

9. ALGEBRA · NUMBER SEQUENCES

  1. Fractions of a whole (age 8+): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)

10. GEOMETRY · LINES AND ANGLES

  1. What Is an Angle?: Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes

11. GEOMETRY · 2D SHAPES AND PROPERTIES

  1. 2-D shapes (age 10+): Draw 2-D shapes using given dimensions and angles, using a ruler and protractor accurately

12. STATISTICS AND ELEMENTARY PROBABILITY · COLLECTING, REPRESENTING, AND INTERPRETING DATA

  1. Experimental probability: Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability