Place Value, Integers, Ordering and Rounding
This collection of resources supports the teaching of Place Value, Integers, Ordering and Rounding in secondary mathematics.
Here are some favourite activities selected by the NRICH team.
- Dicey Operations Who said that adding, subtracting, multiplying and dividing couldn't be fun?
- Forwards Add Backwards What happens when you add a three digit number to its reverse?
- Add to 200 By selecting digits for an addition grid, what targets can you make?
- Always a multiple? Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
These are just a few of the activities on Place Value, Integers, Ordering and Rounding that you can find on the NRICH curriculum pages.
The activities below, taken from the STEM Learning website, complement the NRICH activities above.
Addition
The SMILE Card activity on p3 and p4 in pack one contains the 2-player game "Tens".
Students are given number counters to arrange on a four by four grid in turns. To win the game, players looks to complete a row of three numbers that sum to 10. This activity can be used before moving on to the larger numbers or more complex operations used in the NRICH Dicey Operations activity above.
On p25 there is a similar game that instead asks students to sum a series of coins to 25p.
Dominoes
In the Dicey Operation activity, students roll dice to generate random numbers to enter into addition, multiplication and division grids.
In this resource, students instead use a 6x6 set of dominoes to solve a variety of problems from simple sums to column addition, as well as magic squares, tiling and "domino knots".
The first task, on p8, asks students to arrange four dominoes to make a "hollow domino square", where the sum of each of the sides are equal- just like a magic square.
On p10, students are asked to complete a series of column additions for two and three digit numbers by placing dominoes in the correct place.
p12 asks students to arrange dominoes to practice multiplying three digits together.
Three Dice
This collection of activities from the Nuffield Foundation uses the same NRICH dice simulator found in Dicey Operations. This resources, however, focus on investigating probability. In order to maximise their chances of winning a game, students must decide which numbers are most likely ro occur when three dice are thrown and the scores added together.
The detailed teaching notes include probing questions, extension activities, a progression table for assessment and sample student work.
Place Value
If you would like more resources on place value, this package contains a variety of resources from the National STEM Learning Centre collection that support the teaching and learning of topics including decimals, measures and for any size of integers, the language of larger and smaller numbers, and ordering numbers, and the correct use of =, ≠, <, >, ≤, ≥.