1. Co-ordinates Along the corridor and up the stairs. X axis = across (like a cross) Y axis = up and down (Y to the sky) (3, 4) = First number is always the X axis. Second number is always the Y axis.

2. Reflection (with tracing paper) 1)Draw mirror line (In full!) 2) Draw shape 3) FLIP!!!! 4) Line up mirror line. 5) Draw over shape. Or Draw, flip, Draw

3. Rotation (with tracing paper) 1)Draw shape 2)Identify and draw rotation point (Very important!) 3)Rotate the desired amount (Eg: Clockwise 90 degrees) 4)Draw shape in new position.

4. Translation (with tracing paper) Shape does not rotate, get bigger/smaller, it simply moves. 1)Draw shape and a point on the shape. 2)Move the shape across and/or up of down to new position. 3)Redraw in new position.

5. Fractions/ Decimals/ Percentages FractionsDecimalsPercentages ½0.550% ¼0.2525% 1/80.12512.5% 1/30.33333.3% 1/50.220% 1/100.110% 1/1000.011%

6. Regular Polygons Regular = All sides the same/ all angles the same. SidesRegular ShapeAngle sizes 3Equilateral Triangle60 degrees 4Square (Regular Quadrilateral)90 degrees 5Pentagon----------------------- 6Hexagon----------------------- 7Heptagon----------------------- 8Octagon-----------------------

7. Degrees in a triangle There are 180 degrees in a triangle.

8. Straight line There are 180 degrees in a straight line.

9. Full Circle There are 360 degrees in full circle.

10. Averages Hey diddle diddle, the medians the middle, You add and divide for the mean, The mode is the one that you see the most, And the range is the difference between. (The biggest and the smallest)

11. Different Triangles Triangle TypeProperties Right angle triangleHas one right angle (Why can’t it have 2?) Equilateral triangleAll sides and angles (60°) are the same. Isosceles triangleTwo sides and 2 angles the same size. Scalene triangleAll sides and angles are different.

12. Different Quadrilaterals (4 sided) QuadrilateralPropertiesExample Square Parallel: 2 sets Perpendicular (right angles): 4 Lines of symmetry: 4 Angles: 4 Right angles Rectangle Parallel: 2 sets Perpendicular: 4 Lines of symmetry: 2 Angles: 4 Right angles Rhombus Parallel: 2 sets Perpendicular: 0 Lines of symmetry: 2 Angles: 2 acute/ 2 obtuse Parallelogram Parallel: 2 sets Perpendicular: 0 Lines of symmetry: 0 Angles: 2 acute/ 2 obtuse Trapezium Parallel: 1 set Perpendicular: depends if there are ant right angles of not. (use protractor) Lines of symmetry: Depends on shape (use mirror to see)

13. Different Types of angles QuadrilateralPropertiesExample AcuteLess than 90° ObtuseMore than 90° but less than 180° ReflexMore than 180° Straight line180° Right angle90° (Use a protractor to check if it a right angle or not!)

14. Line Graphs 1)Always use a ruler! 2)Write on the increments between numbers.

15. Time 1)Remember 60 minutes = 1 hour. 2) Use a number line to work out differences between times. EG: 8:35 12:07 9:00 12:00 +25mins +3 hrs +7mins = 3hrs 32mins 8:35 11:35 11:55 +3hrs +20mins or Add 3hrs 20mins to 8:35.

16. Negative Numbers 1)Think of a Thermometer… EG: Difference in temperature between London 12°C and Moscow -4°C is? Or… Add on till you get to 0 from -4 (4), then add on from 0 to 12 (12) and add the 2 answers = 16

17. Lowest Common Multiple(LCM) What is the smallest number in these numbers timestables? EG: 6 and 20? 1)Do the timestables for the biggest number and see which one is in both their timestables. 20, 40, 60 60 is a multiple of 6 and of 20. So the LCM is 60.

18. Highest Common Factor (HCF) What is the biggest common factor that fits into the set of numbers? EG: 8 and 12? Factors of 8 = 1, 8, 2, 4. Factors of 12 = 1, 12, 2, 6, 3, 4.

19. Ordering Fractions

20. Reducing Fractions 1)If you can half both the numbers do so. 2)Find a factor of both the numbers and divide the top and bottom by this number. 3)If there is no other common factors, apart from 1, you are done.

21. Measure with a Protractor 1)Always ask yourself first, “Bigger or smaller than 90°?” 2)Make sure the centre of the protractor is lined up with the angle with one of the lines along the zero line.

22. Draw an angle with a Protractor 1)Always ask yourself first, “Bigger or smaller than 90°?” 2)Draw a straight line. 3)Put the centre of your protractor at the end of the line, along the zero line. 4)Work round to correct angle size (Remember, “Bigger or smaller than 90°?”) 5) Put a dot a the angle size. 6)Join the end of the line and the dot.

23. Probability 1)Always write down probability as a fraction. This will help you answer the questions. NumberProbability of Selection 12/9 25/9 31/9 4

24. Pie Charts

25. Inverse Operation