1. 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

2. Integer Coordinates 231465-3-4-5-6-2 3 6 4 5 2 1 -2 -3 -4 -5 -6 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 - 5 - 4 C C Point is below centre so x coord is 0 Is the point above + or below - 0 - 3

3. Where is the Point 231465-3-4-5-6-2 3 6 4 5 2 1 -2 -3 -4 -5 -6 x y Where is the point (, ) P - 2 - 5 P (, ) Q -3 0 As x is 0 the point will be either above or below the centre Q (, ) R -5 3 R

4. Click Coordinates Start -2 1 2 3 4 4 5 4 -4 3 0 3 -5 0 -2 0 -5 4 0 -3 1 2 3 4 5 -5 -4 -3 -2 -3 -4 -5 A( ), B( ), C( ), D( ), E( ), F( ), G( ), H( ), I( ), J( ), “Touch” the correct point

5. Adding Integers JillFredKevin Round 1-45-3 Round 2-32 Round 35-2-4 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

6. Fred’s Score JillFredKevin Round 1-45-3 Round 2-32 Round 35-2-4 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

7. Kevin’s Score JillFredKevin Round 1-45-3 Round 2-32 Round 35-2-4 Total -2 1 -5 Scores are for a quiz. 1 pt for correct answer. 1 pt deducted if answer is incorrect. Totals are added Kevin scores ( - 3 ) + 2 + ( - 4 ) - 7 = ( - 7 ) + 2 = - 5 Cover up the 2 … work out ( - 3 ) + ( - 4 )

8. Integer Practice 01234 56789 C. ÷x 0 + On ² - Ans = √ (-) 6( -2 ) ( -3 ) + + = 10 ( -6 ) + + = ( -2 )11 ( -5 ) + + = 5( -7 ) ( -3 ) + + = ( -4 )( -3 ) 2 + + = (a) (b) (c) (d) (e) Next

9. Slope indicates speed Distance Time Fast Stopped Slower

10. Interpreting a graph Distanc Time Graph Distance – Time Graph Distance (km) Time (hours) Leigh 40 80 120 160 200 Barnstow Sandford Crawley 0700 0800 0900 1000 1100 B A C D Leaves Leigh at 07 00 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

11. 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

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

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

14. Pythagoras 3 22.4 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= 0 123 456 789 C. ÷ x 0 + On ² - Ans = √ (-) 22.4

15. Stem and Leaf 50 54 79 04072 72871 938 476 2642 67 92 62 6850 67 57 9652 61 84 9473 92 78 8687 5 6 7 8 9 92 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

16. 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

17. Frequency Table DiameterTallyFrequency 56 57 58 59 60 61 62 7 3 9 9 5 8 7 58 60 58 56 59 57 60 61 59 57 60 56 59 58 59 56 61 60 57 58 62 59 58 6061596257 5960596159 6258615960 5960586062 lIll lIII lI lIl lIII lIll lIII lI lIII lI The last diameter to be entered is 60 The tally marks are then counted

18. 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° 0 4 8 12 16 20 24 28 32 05101520253035 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

19. 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.

20. 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

21. Line of Best Fit Temperature °C Sales of Hot Soup Draw a line of BEST FIT 01234 56789 C. ÷x 0 + On ² - Ans = √ (-) Temperature Bowls of Soup 16 Start Next Temperature

22. Statistics … Mode 711 212 17161442202 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 01234 56789 C. ÷x 0 + On ² - Ans = √ (-) Mode = 1 Sort

23. Finding the Range The range is the difference between the highest number and the lowest number. Next 10 201025308 HighLow - - = = Range = 01234 56789 C. ÷x 0 + On ² - Ans = √ (-)

24. 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 = 10 + 14 2 24 2 = = 24 ÷ 2 = 12

25. What is the Median 39199175 599 193 New Data Sort 01234 56789 C. ÷x 0 + On ² - Ans = √ (-) Can have two groups of Median = 9 ( 9 + 9 ) ÷ 2 Working 3

26. Find the Median New Data Sort Split into two groups of 3 Median = Working 01234 56789 C. ÷x 0 + On ² - Ans = √ (-)

27. Mean of 4 numbers 29 171610 Mean = 29+17+16+10 4 How Many Total = 72 ÷ 4 = 18 Mean = Total How Many

28. Mean of 6 numbers 26 1119222622 Mean = 26+11+19+22+26+22 6 How Many Total = 126 ÷ 6 = 21 Mean = Total How Many

29. Probability 14 Win 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 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

30. 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

31. 0 123 456 789 C. ÷ x 0 + On ² - Ans = √ (-) 01234 56789 C. ÷x 0 + On ² - Ans = √ (-)