Fractions problem solving worksheet

The Fractions problem-solving worksheet offers a series of engaging activities designed to help Year 3 students master the objectives related to fractions. In Activity 1, children are challenged to use digit cards ranging from 1 to 8 to create as many equivalent fractions as possible on a provided grid. This activity encourages them to explore different combinations and explain their strategies. A variation of this task limits the digit cards to six from the same range, adding an extra layer of difficulty.

Subsequent activities provide further opportunities for hands-on learning. Activity 2 introduces a set of digit cards from 1 to 9, where students select a digit for the denominator and then create calculations to meet certain criteria, with variations including changing the operations used. In Activity 3, students are encouraged to be creative by making a poster or writing a rap to recap the steps for calculating fractions of amounts. Activity 4 involves using random two-digit number cards and simple proper fraction cards to find the fraction of an amount. Activity 5 is not detailed in the text but would follow the same objective-focused structure as the other tasks.

Further exploration into fractions is encouraged in Activity 6, where students use interlocking cubes to build models representing given fractions in different colours, questioning if multiple models can be created. Activity 7 involves using whiteboards and pens to illustrate that the product of two fractions can be commutative, such as ½ of ¼ being the same as ¼ of ½, and challenges students to find other pairs of fractions where this applies. Finally, Activity 8 presents a real-world scenario at a pizzeria, prompting students to figure out how twelve friends can share seven pizzas cut into thirds and quarters equally, and whether there are multiple solutions to the problem. These activities are designed to deepen students' understanding of fractions through problem-solving and practical application.