Level 4 PROMPT sheet. 4/3 Multiply & Divide by 10 or 100. To multiply by 10, move each digit one place to the left e.g. 35.

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1 Level PROMPT sheet /1 Number Patterns A list of numbers with a pattern is called a SEQUENCE The numbers are called TERMS A TERM TO TERM RULE tells you how to get from one term to the next It might be add, subtract, multiply or divide by something / Multiply & Divide by 10 or 100 To multiply by 10, move each digit one place to the left e.g. 5.6 x 10 = 56 Hundreds Tens Units tenths To divide by 10, move each digit one place to the right This is a sequence: terms e.g = 56=.56 Term to term rule / Multiples, factors & square numbers FACTORS are what divides exactly into a number e.g. Factors of 1 are: MULTIPLES are the times table answers e.g. Multiples of 5 are: Tens Units tenths hundredths To multiply by 100, move each digit places to the left To divide by 100, move each digit places to the right / Multiply & Divide by 10 or 100 AN ALTERNATIVE METHOD Instead of moving the digits Move the decimal point the opposite way / Fraction, decimal, percentage equivalents LEARN THESE: SQUARES are the result of multiplying a number by itself 1 = 0.5 = 5% e.g. 1 x 1 = 1 x = Square numbers x = 9 1 = 0.5 = 50% = 0.75 = 75%

2 /5 Convert mixed numbers to improper fractions & vv An improper fraction is top heavy & can be changed into a mixed number can be shown in a diagram /7 Use inverse operations To undo ADD, just SUBTRACT e.g. 6 + = 59 (59 6 = ) To undo MULTIPLY, just DIVIDE = 1½ 1 ½ e.g. 7 x = 1 (1 7 = ) Use balancing: 0 + = 0 Improper fraction Mixed number 0 + = = 80 (80 0 = 60) A mixed number can be changed back into an improper fraction /6 Simple ratio 1½ = 11 ¾ = /8 Brackets in calculations A calculation must be done in the correct order 1. Brackets. Indices, Division and Multiplication. Addition and Subtraction Using this order I get different answers: + 6 x 5 1 = ( + 6) x 5 1 = + 6 x (5 1) = 7 The ratio of squares to triangles can be written squares : triangles : 6 : Ratios can be simplified just like fractions It all depends on where the bracket is /9 Times tables up to 10x10 It is important to know the times tables and the division facts that go with them Example 9 x 7 = = = 9

3 /11 Coordinates in first quadrant /1 Written methods for multiplication The horizontal axis is the x-axis The vertical axis is called the y-axis The origin is where the axes meet A point is described by two numbers The 1 st number is off the x-axis The nd number is off the y-axis y e.g. 8 x = 66 /1 Written methods for division 5 P e.g BUS SHELTER METHOD ) x e.g CHUNKING METHOD Origin (0,0) P is (5, ) /1 Written methods for addition Line up the digits in the correct columns e.g H T U ) (0 x 5) 5 (5 x 5) = 5 /1 Add & subtract decimals Line up the digits and the decimal points /1 Written methods for subtraction Line up the digits in the correct columns e.g H T U /1 Written methods for multiplication e.g. 8 x x 6 6 e.g /1 Multiply a decimal e.g. 8.5 x x

4 /1 Properties of D shapes TRIANGLES angles add up to Isosceles triangle equal sides equal angles 1 line of symmetry No rotational symmetry Parallelogram Opposite sides parallel Opposite angles equal NO lines of symmetry Rotational symmetry order Equilateral triangle equal sides equal angles lines of symmetry Rotational symmetry order Rhombus (like a diamond) Opposite sides parallel Opposite angles equal lines of symmetry Rotational symmetry order Trapezium ONE pair opposite sides parallel QUADRILATERALS all angles add up to 60 0 Square equal sides equal angles lines of symmetry Rotational symmetry order Kite One pair of opposite angles equal pairs of adjacent sides equal ONE line of symmetry No rotational symmetry Rectangle Opposite sides equal equal angles lines of symmetry Rotational symmetry order

5 /1 Properties of D shapes PRISMS- same cross section through length Cube and cuboid 6 faces 1 edges 8 vertices Pyramid triangular based faces 6 edges vertices Cone special pyramid Triangular prism 5 faces 9 edges 6 vertices SPHERES- ball shape Cylinder special prism PYRAMIDS- a point opposite the base Pyramid square based 5 faces 8 edges 5 vertices /15 Reflect in a mirror line To reflect a shape in a vertical line

6 To reflect a shape in a 5 0 line /16 Rotate a shape To rotate a shape about P P Distances from shape to mirror and mirror to reflection must be same Tracing paper is useful: 1. Trace the shape & the mirror line. Flip the tracing paper over the mirror line. Redraw the shape in its new position Tracing paper is useful: 1. Trace the shape. Hold the shape down with a pencil. Rotate tracing paper. Redraw the shape in its new position /16 Translate a shape /17 Use a ruler accurately Move horizontally 5 spaces right 1 5 Measure from 0 This line is 1.7cm long Use a protractor accurately Move vertically spaces down 1 Count the number of degrees between the arms of the angle. This angle is 17 0

7 /18 Find perimeter of simple shapes /19 Record using a grouped frequency table Weight(w) Tally Frequency 15 w < 0 0 w < 5 5 w < 0 0 w < 5 5 w < 0 Perimeter is round the OUTSIDE Perimeter of this shape = 1cm /0 Use a Venn Diagram To place these numbers onto a Venn diagram 1 5 Area is the number of squares INSIDE Area of this shape = 5cm /19 Record using a frequency table Score on dice Tally Frequency 1 llll llll 10 llll llll l 6 lll 5 llll lll 8 6 l Multiples of Multiples of 8 To place these numbers onto a Carroll diagram Odd number of factors Even number of factors Square number Not a square number

8 /1 Construct/interpret graphs / Mode and Range Line graph - temperature Mode is the most frequent measure 9 Range is highest minus lowest measure 8 Temperature ( C) 7 / Language of probability Date in October Bar graph Number of pupils at a youth club Probability words are used to describe how likely it is that an event will happen. Examples of probability words are certain likely even chance unlikely impossible Week Other words: Number of pupils Equally likely when all outcomes have the same chance of occurring Biased when all outcomes do NOT have the same chance of occurring 0 Mon Tues Wed Thur Fri Pie chart Number of pupils in the yard boys girls