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.

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