Module 2  Calculations  
Module Content  Lesson Resources  Lesson Plans  Exam Questions  Probing Questions 
Calculations  Teacher Notes
Solvemymaths has produced pages like this for lots of topics
NRICH Tasks
NRICH: Consecutive
Numbers
NRICH: Reach
100 
NRICH: Multiplication
Square Jigsaw NRICH: Shape Times Shape NRICH: Times Tables Matching Cards NRICH: Forgot the Numbers NRICH: How Many Miles to Go? NRICH: Largest Product 
NRICH: Multiplying
with Lines NRICH: Fractions Jigsaw NRICH: Ben's Game NRICH: Guesswork NRICH: Number Pyramids NRICH: More Number Pyramids 
NRICH: Napier's
Location Arithmetic NRICH: Dating Made Easier NRICH: One and Three 
Extras Multiply Large Numbers Video: Multiplying Negatives Multiply Fractions Visual Video Worked Examples: Index notation 1 Introduction Index notation 2 Multiply/divide Index notation 3 Multiply/divide 
Associating number facts This video is on using known number facts to help work out other ones  Click here Once pupils start to familiarise themselves with how to associate number facts, I like use the following types of questions: How does knowing 5 × 4 = 20 help you work out 6 × 4? I know that 10 × 7 = 70, how can I use that to find 9 × 7? If I know that 20 × 3 = 60, what else do I know?
1 × 16 = 16 Routine practice in a fun way 
This video of Jill Mansergh at an ATM conference shows a wonderfully simple way of bring out the links within the (17) times table. Being able to navigate from one multiplication fact to another is a crucial element of mastering them  Click here Subtraction
Make it easier. 

Find the Factors  @findthefactors
The object of the FIND THE FACTORS 1 – 10 (or 1 – 12) puzzle is to write the numbers 1 to 10 (or 1 to 12) in the top row and again in the first column so that once the factors are found, the puzzle works as a multiplication table. All of the puzzles require a basic, but not necessarily quick or perfect, knowledge of all the multiplication facts from 1 to 10 or from 1 to 12  Full Explanation An archive of previous puzzles set by Iva can be found by Clicking here

Pathways You can mark a square on the grid as long as you can think of two factors that you can multiply to get the number in the square.” Students have multiplication tables available to them and were free to refer to them to help identify correct multiplication problems  Click here


Fours Operations – HexaTrex The object of the puzzle is to find the equation pathway that leads through ALL the tiles. For example the solution for this HexaTrex tile arrangement:
Click here for the rules and link at top to Differentiated Problems 
Working with Brackets


Multiplication & Division This spreadsheet allows you to enter a multiplication into the green squares and it then generates 10 related calculations for the students to work out  Click here
An extension of this is then to write a calculation on the board and ask the pupils to come up with related calculations.

Line Multiplication
Why does it work? Compare with Grid Multiplication


Parabolic Multiplication  Video Let's say you want to multiply 5 by 8. Do the following: 1. Plot the graph of y=x^{2}.
2. Draw a line that crosses the parabola where x = 5 and where x = 8 on the parabola. (Ignore the fact that x = 5 and not +5 at the left intersection point; this calculator does not do signed arithmetic!) 3. Note the value of y where the line crosses the yaxis. 4. The value of y is 40 and indeed 5 x 8 = 40.
Can you figure out why this works? [See below] Never mind that it's much more work to plot the graphs and determine where the line

Negative Numbers
So 4 + 3 is shown here You can now subtract a negative by taking a red one away 

Percentages Working out percentages without a calculator.
· Percentage of an amount  ever wondered why?  JustMaths · Percentage Change Chain  Michael Sharman on TES · Percentages Inquiry  Inquiry Maths · Percentages Revision  rogradymaths.blogspot.co.uk · Percentage deals  Median Don Steward

Teaching Fractions is Hard  Teaching Sequence and Lesson Ideas


Adding Fractions
Magic Squares  Don Steward

Adding Fractions


Multiplying Fractions

Dividing Fractions  Teaching Sequence


Fractions Investigation
Can you find other examples? – Great way of getting pupils to practice the addition of fractions


Speed Calculations

