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Reach the target

Demonstrate the learning object L2806 Fraction fiddle: reach the target to the class and discuss the dynamically linked components.

  • A target number is presented (e.g. \(\frac{5}{6}\)) and two fractions that add to that target must be created.
  • Make one denominator the same as the target denominator (e.g. sixths) and make the other denominator a factor or multiple of it (e.g. halves, thirds or twelfths).
  • Adjust both numerators to create the desired fractions.
  • As the fractions change, their fraction bars also change, as does the total on the vertical number line.
  • Select <Repeat> and find another pair of fractions for the same total. Select <Next> for a new target number.
The addition of 2/3 and 1/6 to reach the target of 5/6, shown with fraction bars and a number line.

Screen grab from L2806 Fraction fiddle: reach the target.
Source: © Education Services Australia Ltd, 2011 

Pairs of students work together, taking turns to complete an addition task.

  • Ask the students to print out the record sheet and compare solutions.
  • Ask what strategies could be used to add fractions like these without the learning object to assist.

Students ready for a greater challenge can be encouraged to make both denominators different from the target fraction.

Curriculum links

Year 6: Solve problems involving addition and subtraction of fractions with the same or related denominators