Int 1 Unit 2 NAB Revision Integer Coordinates Integer Addition DST Pythagoras Stem and LeafPie Chart Frequency Table Scatter Diagram Mode Range Median Mean Probability

Integer Coordinates x y What are the coordinates of the point A (, ) Start at the centre and decide whether to go left - or right + -2 Is the point above + or below - 4 A B B Is the point above + or below C C Point is below centre so x coord is 0 Is the point above + or below

Where is the Point x y Where is the point (, ) P P (, ) Q -3 0 As x is 0 the point will be either above or below the centre Q (, ) R -5 3 R

Click Coordinates Start A( ), B( ), C( ), D( ), E( ), F( ), G( ), H( ), I( ), J( ), “Touch” the correct point

Adding Integers JillFredKevin Round Round 2-32 Round Total -2 Scores are for a quiz. 1 pt for correct answer. 1 pt deducted if answer is incorrect. Totals are added Jill scores ( - 4 ) + ( -3 ) + 5 Add negatives together then positives ( -4 ) + ( - 3 ) = ( - 7 ) = ( - 7 ) + 5 = -2

Fred’s Score JillFredKevin Round Round 2-32 Round Total -2 2 Scores are for a quiz. 1 pt for correct answer. 1 pt deducted if answer is incorrect. Totals are added Fred scores 5 + ( -1 ) + ( -2 ) There are two negatives ( - 1 ) is 1 down; ( - 2) is 2 down so ( -1 ) + ( -2 ) = - 3 = 5 + ( - 3 ) = 5 + ( - 3 ) is 5 up then 3 down = 2

Kevin’s Score JillFredKevin Round Round 2-32 Round Total Scores are for a quiz. 1 pt for correct answer. 1 pt deducted if answer is incorrect. Totals are added Kevin scores ( - 3 ) ( - 4 ) - 7 = ( - 7 ) + 2 = - 5 Cover up the 2 … work out ( - 3 ) + ( - 4 )

Integer Practice C. ÷x 0 + On ² - Ans = √ (-) 6( -2 ) ( -3 ) + + = 10 ( -6 ) + + = ( -2 )11 ( -5 ) + + = 5( -7 ) ( -3 ) + + = ( -4 )( -3 ) = (a) (b) (c) (d) (e) Next

Slope indicates speed Distance Time Fast Stopped Slower

Interpreting a graph Distanc Time Graph Distance – Time Graph Distance (km) Time (hours) Leigh Barnstow Sandford Crawley B A C D Leaves Leigh at B … At 0800 arrive at Barnstow 80 km from Leigh Horizontal. Stopped at Barnstow for 1 hourC Leave Barnstow as 0900 Slope is not as steep as AB so travelling slower

Finding Distance 1215 D S X T Time = sec D = S x T X Speed= m/s 180 miles 1512 = Can find distance D= 15 x 12

What is the Speed x T D S T= S=km/hr hr x S = D ÷ T S = 375 ÷ 5 S= 75 D=375 km ÷ ÷ min T= 5 hr min

How long is the journey x T D S T= S=44km/hr hr x T = D ÷ S T = 88 ÷ 44 T= 2 D=88 km ÷ ÷ min T= hr min

Pythagoras c 3 c² = a² + b² Use When you have both sides of the right angle you ADD the squares c²= a² + b² c= Opposite of ² is √ c²= Start Next = = a= b= C. ÷ x 0 + On ² - Ans = √ (-) 22.4

Stem and Leaf represented by leaf 2 in level 9 Key 5 0 is 50 Each row is called a level Level 7 contains 79, 73 and 78 A key must be included so that the data can be interpreted

Pie Chart BBC1 STV SKY other A Pie chart is used to compare categories which can be chosen from This pie chart compares the channels 80 pupils watched at 8pm one evening Which was the most popular SKY The small square indicates that the angle for BBC is 90° ¼ of the pupils were watching BBC 1 ¼ of 80 = 80 ÷ 4 = 20

Frequency Table DiameterTallyFrequency lIll lIII lI lIl lIII lIll lIII lI lIII lI The last diameter to be entered is 60 The tally marks are then counted

ScatterGraph Temperature °C Sales of Hot Soup Draw a line of BEST FIT A scattergraph shows the connection between two quantities 24 bowl of soup were sold on March 1 st when the temperature was 5° On the 2 nd March the temperature was 8° and 20 cups were sold Temperature °C On the 3 nd March the temperature was 5° and 28 cups were sold

Line of Best Fit Temperature °C Sales of Hot Soup The Scattergraph shows a connection between the temperature outside and the cups of Hot Soup sold Draw a line of BEST FIT The line shows roughly where the point are. Some above. Some below.

Using a Best Fit Line Sales of Hot Soup Temperature °C Once the line is drawn you do not need the points. The line shows the connection ( correlation ) between temperature and sales. Estimate how many bowls of soup would be sold when the temperature is 20°C. 9 bowls sold How many bowls when temperature is 5°C For a temperature of 5° about 25 bowls would be sold

Line of Best Fit Temperature °C Sales of Hot Soup Draw a line of BEST FIT C. ÷x 0 + On ² - Ans = √ (-) Temperature Bowls of Soup 16 Start Next Temperature

Statistics … Mode New Data To find the median the data needs to be in order. It is easier to find the Mode and the Range if the data is in order Mode is the number which there is MOre of C. ÷x 0 + On ² - Ans = √ (-) Mode = 1 Sort

Finding the Range The range is the difference between the highest number and the lowest number. Next HighLow - - = = Range = C. ÷x 0 + On ² - Ans = √ (-)

Median The MEDIAN of data is the middle value when put in order. 5, 7, 7, 10, 14, 16, 16, 18 There are 8 values. Split into two equal groups 8 ÷ 2 = 4 of four 5, 7, 7, 10, 14, 16, 16, 18 No number in the middle so find the number halfway between 10 and 14 Median = = = 24 ÷ 2 = 12

What is the Median New Data Sort C. ÷x 0 + On ² - Ans = √ (-) Can have two groups of Median = 9 ( ) ÷ 2 Working 3

Find the Median New Data Sort Split into two groups of 3 Median = Working C. ÷x 0 + On ² - Ans = √ (-)

Mean of 4 numbers Mean = How Many Total = 72 ÷ 4 = 18 Mean = Total How Many

Mean of 6 numbers Mean = How Many Total = 126 ÷ 6 = 21 Mean = Total How Many

Probability 14 Win Probability= Favourable Possible 16 different numbers are possible with this spinner Probability of a 9 P(9) = Favourable Possible 16 Only one position will win when the spinner stops at 9 1

Probability What is the Probability of getting a four on the throw of a dice P(4) = Favourable Possible 6 Favourable 1 Favourable outcome 1 Possible outcomes

C. ÷ x 0 + On ² - Ans = √ (-) C. ÷x 0 + On ² - Ans = √ (-)