Module 1 
Number
System 

Module Content  Lesson Resources  Lesson Plans  Exam Questions  Probing Questions 
Number System  Teacher Notes
Solvemymaths has produced pages like this for lots of topics
NRICH Tasks
NRICH: Sea
Level 
Extras Superheroes Real Time Statistics Size of Universe Animation Video Worked Examples: Surds 1 Simplifying surds Surds 2 Multiplying surds Surds 3 Rationalising surds Surds 4 Rationalising surd 
Place Value
This is an excellent visual which encourage students to estimate a point on a number line such as 3.7 then has the option of numbers such as 3.46 and then gives the solution by zooming in – Click here 
Rounding Shopping Bills Project a series of numbers on the board and ask them to do a running total, whilst keeping an accurate answer yourself using a calculator Estimating shopping bills by rounding to the nearest whole number and pairing to make multiples of £10 – give out till receipts with total missing and circulate to see what answers they get.
Reasoned Rounding
Reasoned Rounding to the nearest hundred recording
sheet (PDF version)
Round the Dice Decimals


Ordering Decimals Write down a series of 6 decimal numbers on the board and ask pupils to rank them in order 16 from smallest to largest.  include a clear explanation of their reason. Use this as an opportunity to link with the topic of rounding:
So 0.437, 0.47, 0.5012,
0.52, 0.509
This method highlights the fact that the tenths are the most important value etc...

How could this be used?
FlashMaths: Rounding Numbers – Click here FlashMaths: Reading Scales – Click here


Fractions @solvemymaths Click here

Ordering Fractions Fractions on a Clothes Line – Click here Fraction Cards
Deal five cards to each player. Set the remainder of the deck face down in the middle of the table as a draw pile. You will play six rounds: · Closest to zero · Closest to 1/4 · Closest to 1/3 · Closest to 1/2 · Closest to one · Closest to two In each round, players choose two cards from their hand to make a fraction that is as close as possible (but not equal) to the target number. Draw two cards to replenish your hand. The player whose fraction is closest to the target collects all the cards played in that round. If there is a tie for closest fraction, the winners split the cards as evenly as they can, leaving any remaining cards on the table as a bonus for the winner of the next round. After the last round, whoever has collected the most cards wins the game. 

Ordering Fractions, Decimals and Percentages SU N1:This is an excellent introductory exercise to assess the understanding of the pupils and involves matching cards which show Fractions, Decimals, Number Line, Percentage Shading  From Module 1 FDP resources folder  or Click here


Fractions [Thanks to Jo @mathsjam http://www.resourceaholic.com/] Ordering fractions card game  Lets Play Math Folding Fractions using a Square Piece of Paper – Proof is Higher Tier Using Lego

Fraction Talks
@NatBanting
The goal was to develop a simple visual that could foster creative thinking around fractions. An unassuming idea, and open disposition, began to open up huge spaces for mathematical action for my students.
The idea is simple, the medium is practical, and the thinking is
rich. This site is a growing cache of materials designed for
classroom teachers. Enjoy, invent, contribute 
Click here


Multiply and Divide by Powers of 10 Start with the number line 1 to 9 x10 to and write the numbers above, x100 and write above again, /10 then /100 to get
From this we can deduce that 4.3 x 10 must lie between 40 and 50 and equals 43 This links to the work on standard form where we always begin with a number on the blue line. We can also use it to reference problems like 34/10 = 3.4 320/100 etc... 

Standard Form Use this to draw out that you times by 10 each time you move up a row, and always start from the yellow row to give 600 = 6x10x10 = 6x10^{2} and 0.009 = 9 and down 3 rows = 9x10^{3}

Percentages If the world were 100 people is a good introduction to percentages as it requires students to gather data about a wide range of information and then presenting in an appropriate way whilst giving them a secure understanding of the fact that a percentage is out of 100


This blog makes interesting reading 
Click here 

Large Numbers
@itabn_andrew Is that a Big Num8er? is a website that:

Recurring Decimals Repeating Decimals  Maths Assessment Project Recurring Decimals Four in a Row  Teachit Maths Recurring decimals activity and method  The Chalk Face 

Bounds [Thanks to Jo @mathsjam http://www.resourceaholic.com/] Upper and lower bounds questions  The Chalk Face Painting bounds  The Chalk Face Errors Student Sheet (& notes)  Nuffield Foundation Surds Decimal Approximations Angry Surds Game – Click here

Introducing Irrational Numbers This document provides a good way of introducing the concept of irrational numbers through a combination of long multiplication, reasoning and proof  Click here Visualising Irrational Numbers Wheel of Theodorus  Method of Construction

