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Number System - Teacher Notes
Solvemymaths has produced pages like this for lots of topics
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
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 to the nearest hundred recording
sheet (PDF version)
Round the Dice Decimals
Write down a series of 6 decimal numbers on the board and ask pupils to rank them in order 1-6 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,
This method highlights the fact that the tenths are the most important value etc...
Zoomable Number Line
Click on the line to zoom in or out, click on the ends to move along - Click here
How could this be used?
FlashMaths: Rounding Numbers – Click here
FlashMaths: Reading Scales – Click here
Fractions @solvemymaths Click here
Fractions on a Clothes Line – Click here
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
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...
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 = 6x102 and 0.009 = 9 and down 3 rows = 9x10-3
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
Is that a Big Num8er? is a website that:
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
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