← Mathematics / 1 Numbers

1.3 Fractions

Mathematics · Grade 7 · 9 lessons in the design

What this covers

  • Comparing fractions, including equivalent fractions and unlike denominators
  • Ordering fractions in ascending and descending order
  • Adding fractions with like and unlike denominators, including mixed numbers
  • Subtracting fractions with like and unlike denominators, including mixed numbers
  • Multiplying a fraction by a whole number
  • Multiplying a fraction by a fraction and by a mixed number
  • Reciprocals of whole numbers, fractions and mixed numbers
  • Dividing a fraction by a whole number, a fraction and a mixed number
  • Dividing a whole number by a fraction
  • Number sequences involving fractions
  • Fractions in Kenyan real-life situations, including sharing food, land, recipes and animal feed

What you will be able to do

  • compare fractions in different situations
  • add fractions in different situations
  • subtract fractions in different situations
  • multiply fractions by a whole number, a fraction and a mixed number in real-life situations
  • identify the reciprocals of fractions in different situations
  • divide fractions by a whole number, a fraction and a mixed fraction in real-life situations
  • divide a whole number by fractions in different situations
  • identify number sequences involving fractions in different situations
  • create number sequences involving fractions for playing number games
  • recognise the use of fractions in real-life situations

Key questions

“How do we use fractions in daily activities?”

“Where do we use fractions in daily activities?”

Lessons

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  1. Comparing fractions
    40 min · 1 practice tasks · quiz
    Write equivalent fractions and compare unlike fractions using a common denominator or cross-multiplication.
  2. Ordering fractions
    40 min · 1 practice tasks · quiz
    Arrange fractions in ascending and descending order using a common denominator or a number line.
  3. Adding fractions
    40 min · 1 practice tasks · quiz
    Add fractions with like and unlike denominators, including mixed numbers, and simplify the sum.
  4. Subtracting fractions
    40 min · 1 practice tasks · quiz
    Subtract fractions with like and unlike denominators, including mixed numbers that need regrouping.
  5. Multiply a fraction by a whole number
    40 min · 1 practice tasks · quiz
    Multiply a fraction by a whole number using repeated addition, and treat of as multiply.
  6. Multiply fractions and mixed numbers
    40 min · 1 practice tasks · quiz
    Multiply a fraction by a fraction and by a mixed number using an area model and improper fractions.
  7. Reciprocals of fractions
    40 min · 1 practice tasks · quiz
    Identify the reciprocal of a whole number, a fraction and a mixed number, and check that the product is 1.
  8. Dividing fractions
    40 min · 1 practice tasks · quiz
    Divide a fraction by a whole number, a fraction or a mixed number, and divide a whole number by a fraction, using multiply-by-reciprocal.
  9. Fraction sequences and real life
    40 min · 1 practice tasks · quiz
    Identify and create fraction sequences, then apply the four operations to sharing ugali, land, recipes and animal feed.