Maths: Hamilton's short maths blocks have all the benefits of our weekly plans. They also provide support and resources that were simply not possible when we produced the weekly plans. Find out about the advantages of short blocks.
Problem-solving Investigations - Year 5
Problem-solving investigations provide a fun, stimulating context in which children can develop and exercise their ability to reason mathematically and think creatively. They provide extra skills practice and also provide a real challenge if the skill itself is proving undemanding for some children.
These problems are designed to help children identify patterns, explore lines of thinking and investigate properties of numbers, shapes and measures. They can be used alongside the Hamilton plan for the week or independently. The teacher instructions for the whole term are collated in the Overview. Ruth's Advice gives some background and tips for using these investigations with your pupils.
Children explore patterns in six-digit numbers using a ‘trick’ based on reduced numbers (casting out nines).
Children explore the facts that Arabic numbers use a base of 10, we can write numbers using a base of 3, and Roman numbers have no base.
Children work systematically to find equivalent percentages of different amounts. They look at patterns in percentage amounts.
Children use a knowledge of angles to draw lines of incidence and reflection on billiard tables of differing proportions. They identify patterns and make predictions.
Children use Durer’s Magic Square and create two- or three-digit numbers and find the difference between different pairs. They identify patterns.
Children create a triangle of odd numbers and identify the patterns when rows are summed or their end numbers are averaged.
Children find the product of a pair of two-digit numbers then reverse the digits of both numbers and find an identical product.
Children apply their knowledge of time to solve a multi-step problem involving dates and organised reasoning. They explain their ideas and justify reasoning.
Children work out the capacity of their classroom. They also convert from cm3 to ml and then to litres.
Children find the answers to a sequence of fraction multiplications and look for patterns in the answers.
Children divide 1234, 2345, 3456 by 3, 4, 5 etc and look for patterns in the remainders.