By drawing a pictorial model of a word problem, students are able to visualise, represent and relate the known and unknown quantities in the word problem. This allows students to understand the word problem and find the solution to it. Bar models help students develop their mathematical thinking, communication, reasoning and problem-solving skills.
There are two main types of bar models, the part-whole model and the comparison model.
1. Whole Number (P4)
Jimmy has 364 more cards than Tim. If Jimmy gives 210 cards to Tim, how many more cards does Tim have than Jimmy in the end?
At a party, 1/2 of the adults is equal to 2/5 of the children. If there are 279 people altogether, how many children are there?
2 teachers and 6 pupils visited a zoo. Each teacher paid $24.60 and each pupil paid 1/3 of the amount for the entrance fees. How much did they pay altogether?
A a school concert, 1/5 of the audience was adults and the rest was children. There were 567 more children than adults. The ratio of the number of boys to the number of girls was 2:7. How many girls were there at the concert?
At a Family Day event, 25% of the participants were parents. There were 84 more boys than parents who participated. The remaining 166 participants were girls. How many participants were there altogether?
Heuristics, in the context of problem-solving, are a set of strategies to help students solve mathematical problems. Although problem-solving is by and large the process of working towards a goal to which a solution may not be immediately present, it is important that problem solvers (or students) are not only aware of what they are […]
Problem-solving in mathematics helps children develop reasoning and communication skills that are transferrable and important life skills. Reasoning is required on three levels when children solve word problems. First, they use reasoning to recognise what information is provided or missing. Then, they use reasoning to figure out what information they need to find. Finally, they […]
Singapore Math Heuristics: Make A Systematic List, Guess And Check, Restate The Problem In Another Way
The skills children pick up in math are indispensable; they can be applied to other academic subjects and to solve real-world problems in their daily lives and future work. The Singapore Math curriculum focuses on problem solving. Through problem solving, children develop thinking skills such as creative thinking and critical thinking. When children analyse math […]
In part one of our Singapore Math Heuristics series, we gave an overview of the 12 heuristics in Singapore Primary Math syllabus, with tips from the curriculum team at Seriously Addictive Mathematics (S.A.M) on how to solve various math word problems using them. To recap, heuristics are methods or strategies students can use to solve complex […]