This article, written for teachers, looks at the different kinds of recordings encountered in Primary Mathematics lessons and the importance of not jumping to conclusions! Consecutive Seven Age 11 to 14 Challenge Level: Mathland Election Age 11 to 14 Challenge Level: Four strategy dice games to consolidate pupils’ understanding of rounding. You could use the dice in Dice and Spinners.

Can you replace the letters with numbers? Use your knowledge of place value to beat your opponent. This game introduces a decimal point. What do you notice about the numbers that it produces? Dicey Operations for an adult and child. Caterpillars Age 5 to 7 Challenge Level:

Three people chose this as a favourite problem.

# Working Systematically at KS2 :

Can you build it up? Number problems at ;roblem level to work on with others. This is a game in which your counters move in a spiral round the snail’s shell. As you come down the ladders of the Tall Tower you collect useful spells. Two Spinners Age 5 to 7 Challenge Level: Who said that adding, subtracting, multiplying and dividing couldn’t be fun?

Each of you draw a set of four boxes like this: Use the interactivities to fill in these Carroll diagrams. Take any four digit number. Can you complete this jigsaw of the multiplication square? There are six numbers written in five different scripts. zolving

Can you see how these factor-multiple chains work? Read the four digits as a whole number. Age 5 to 7 Challenge Level: Take turns to roll the dice and decide which of your four boxes to fill. What happens when you add a three digit number to its reverse?

Investigate what happens when you add house numbers along a street in different ways. Legs Eleven Age 11 to 14 Challenge Level: In how many different ways can you do it?

Largest Even Age pdoblem to 7 Challenge Level: Multiply Multiples 2 Age 7 to 11 Challenge Level: These practical challenges are all about making a ‘tray’ and covering it with paper. Did you get a multiple of 11? Street Sequences Age 5 to 11 Challenge Level: Use your knowledge of place value to beat your opponent. Sweets are given out to party-goers in a particular way.

## Working Systematically at KS2

You’ll probably want to change the scoring system. How would you create the largest possible two-digit even number from the digit I’ve given you and one of your choice? Can you discover Buzzy’s pattern and fill in the empty cells vale her?

What two-digit numbers can you make with these two dice? Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

What is the sum of the numbers that are diagonally opposite each other? Matching Numbers game for an adult and child.

Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Making Sense of Positives and Negatives Age 11 to 14 This article suggests some ways of making sense of calculations involving positive and negative numbers.