Equivalence - thirds and sixths

Equivalence - thirds and sixths

Course
Mathematics
Grade
Year 5
Section
Fractions
Outcome
Modelling equivalent fractions.
Activity Type
Printable
Activity ID
4003

Testimonials

What a brilliant site you have!!! I love it, especially as it saves me hours and hours of hard work. Others who haven't found your site yet don't know what they are missing!

It is quite frankly the best money I have ever spent on my child. I really cannot thank you enough for providing this, it really is brilliant.

You have the most amazing program. Everybody loves it and the student's results have been in the high 90%'s, it's definitely due to your program.

aasl award

Awarded June 2012
“Best Educational Website
for Teaching and Learning”


  • KS2.Y3 – KS2 Year 3
    • Year 3 programme of study
      • KS2.Y3.N.F – Number - fractions

        • Pupils should be taught to:

          • KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators

  • KS2.Y4 – KS2 Year 4
    • Year 4 programme of study
      • KS2.Y4.N.F – Number - fractions (including decimals)

        • Pupils should be taught to:

          • KS2.Y4.N.F.1 – Recognise and show, using diagrams, families of common equivalent fractions

  • KS2.Y5 – KS2 Year 5
    • Year 5 programme of study
      • KS2.Y5.N.F – Number - fractions (including decimals and percentages)

        • Pupils should be taught to:

          • KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

  • Year 4
    • Number and Algebra
      • Fractions and decimals

        • ACMNA077 – Investigate equivalent fractions used in contexts

  • Year 5
    • Number and Algebra
      • Fractions and decimals

        • ACMNA102 – Compare and order common unit fractions and locate and represent them on a number line

  • 5 – Year 5
    • 5.NA – Number and algebra
      • 5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:

        • 5.NA.1.b – find fractions of sets, shapes, and quantities

  • 6 – Year 6
    • 6.NA – Number and algebra
      • 6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:

        • 6.NA.1.b – Find fractions of sets, shapes, and quantities

  • 4 – Grade 4
    • 4.NF – Number & Operations—Fractions (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.)
      • Mathematics

        • 4.NF.1 – Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

  • 3 – Grade 3
    • 3.NF – Number & Operations—Fractions¹ (Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8.)
      • Mathematics

        • 3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

          • 3.NF.3.a – Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

          • 3.NF.3.b – Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

          • 3.NF.3.c – Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

          • 3.NF.3.d – Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.