Count in multiples of 6, 7, 8, 9 and 25

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1 Count in multiples of 6, 7, 8, 9 and 25 Counting on and back. Example: Count on in multiples of 6 from Count on in multiples of 6 from Count on in multiples of 7 from Count on in multiples of 9 from Count back in multiples of 6 from Count back in multiples of 7 from Count back in multiples of 9 from P a g e

2 Count in multiples of 6, 7, 8, 9 and 25 Counting on and back. Example: Count on in multiples of 6 from Count on in multiples of 6 from Count on in multiples of 7 from Count on in multiples of 9 from Count back in multiples of 6 from Count back in multiples of 7 from Count back in multiples of 9 from P a g e

3 Count in multiples of 6, 7, 8, 9 and 25 Counting in twenty fives I m counting up in twenty fives today. See if you can fill in the gaps in these sequences P a g e

4 Count in multiples of 6, 7, 8, 9 and 25 Counting back in twenty fives Now try counting down in twenty fives. 1. Count down in twenty fives from Count down in twenty fives from Count down in twenty fives from Count down in twenty fives from P a g e

5 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down what is one more than: 1) ) ) ) ) ) ) ) ) ) Addy loves counting on really quickly: One thousand, nine hundred and ninety eight, one thousand nine hundred and ninety nine, two thousand Write down what is one less than: 11) ) ) ) ) ) ) ) ) ) P a g e

6 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down what is one more than: 1) ) ) ) ) ) ) ) ) ) Subby is even quicker at counting down! One thousand and one, one thousand, nine hundred and ninety nine.. Write down what is one less than: 11) ) ) ) ) ) ) ) ) ) P a g e

7 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Counting in tens: one thousand nine hundred and eighty five, one thousand nine hundred and ninety five, two thousand and five, two thousand and fifteen. Write down ten more than each of these numbers: 1) ) ) ) ) ) ) ) ) ) Five thousand and eleven, five thousand and one, four thousand nine hundred and ninety one. What is TEN less than: 11) ) ) ) ) ) ) ) ) ) P a g e

8 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Write down ten more than these numbers: Counting in tens: two thousand nine hundred and eighty six, two thousand nine hundred and ninety six, three thousand and six, three thousand and sixteen. 1) ) ) ) ) ) ) ) ) ) Four thousand and twelve, four thousand and two, three thousand nine hundred and ninety two. What is TEN less than: 11) ) ) ) ) ) ) ) ) ) P a g e

9 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Make the following numbers 100 more and put the answer in the box: Make the following numbers 100 less and put the answer in the box: Count on in hundreds from 769: P a g e

10 Find 1, 10, 100, 1000 more ADDING/SUBTRACTING - MORE THAN/ LESS THAN Make the following numbers 100 more and put the answer in the box: Make the following numbers 100 less and put the answer in the box: Count on in hundreds from 878: P a g e

11 Find 1, 10, 100, 1000 more Counting on and counting back. Example: Count on in ones, to 5 more than Count on in ones, to 5 more than 679: Count on in tens, to 50 more than Count on in hundreds, to 500 more than Count on in thousands, to more than Count back in ones, to 5 less than Count back in tens, to 50 less than Count back in hundreds, to 500 less than P a g e

12 Find 1, 10, 100, 1000 more Counting on in ones from 852 to 857: Count on in ones from 874 to 879: Count on in tens from 460 to 510: Count on in hundreds from 768 to Count on in hundreds from to 3 990: Count back in ones from 673 to 668: Count back in tens from 427 to 377: Count back in hundreds from to P a g e

13 Find 1, 10, 100, 1000 more 1. Starting with 24, how many tens do you need to add to get to more than 100? 2. Starting with 67, how many tens do you need to add to get more than 100? 3. Starting with 136, how many tens do you need to add to get more than 200? 4. Starting with 345, how many tens do you need to add to get to more than 400? 5. Starting with 107, how many tens do you need to add to get to more than 200? 6. Count on in hundreds from 350 to 850. How many hundreds did you count? 7. Count on in hundreds from 460 to 760. How many hundreds did you count? 8. Count on in hundreds from 650 to How many hundreds did you count? 9. Count on in hundreds from 475 to How many hundreds did you count? 10. Count on in hundreds from 208 to How many hundreds did you count? 11. Count back in tens from 768 to 728. How many tens did you count? 12. Count back in tens from 934 to 884. How many tens did you count? 13. Count back in tens from to How many tens did you count? 14. Count back in tens from to How many tens did you count? 15. Count back in tens from to How many tens did you count? 16. Count back in hundreds from to How many hundreds did you count? 17. Count back in hundreds from to How many hundreds did you count? 18. Count back in hundreds from to 538. How many hundreds did you count? 19. Count back in hundreds from to How many hundreds did you count? 20. Count back in hundreds from to How many hundreds did you count? 13 P a g e

14 Find 1, 10, 100, 1000 more 1. Starting with 35, how many tens do you need to add to get to more than 100? 2. Starting with 56, how many tens do you need to add to get more than 100? 3. Starting with 129, how many tens do you need to add to get more than 200? 4. Starting with 456, how many tens do you need to add to get to more than 500? 5. Starting with 87, how many tens do you need to add to get to more than 200? 6. Count on in hundreds from 270 to 770. How many hundreds did you count? 7. Count on in hundreds from 180 to 680. How many hundreds did you count? 8. Count on in hundreds from 390 to How many hundreds did you count? 9. Count on in hundreds from 285 to How many hundreds did you count? 10. Count on in hundreds from 103 to How many hundreds did you count? 11. Count back in tens from 954 to 914. How many tens did you count? 12. Count back in tens from 718 to 698. How many tens did you count? 13. Count back in tens from to How many tens did you count? 14. Count back in tens from to How many tens did you count? 15. Count back in tens from to How many tens did you count? 16. Count back in hundreds from to How many hundreds did you count? 17. Count back in hundreds from to How many hundreds did you count? 18. Count back in hundreds from to 649. How many hundreds did you count? 19. Count back in hundreds from to How many hundreds did you count? 20. Count back in hundreds from to How many hundreds did you count? 14 P a g e

15 Read and write whole numbers. Partition numbers into ThHTU SPELLING Revise spellings of one to ten, plus: Won't be long before I'm in my teens! eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety hundred thousand digit Try writing these in numbers: 1. Two thousand, three hundred. 2. Six thousand, five hundred and twenty six. 3. Five hundred and ninety. 4. Seven thousand and fifty two. 5. Three thousand nine hundred and seven. 6. Eight thousand and forty. 7. Two thousand two hundred and two. 8. Six thousand and nineteen. 15 P a g e

16 Read and write whole numbers. Partition numbers into ThHTU thousands units u h t u The number above is two thousand, eight hundred and thirteen The digit 2 is worth The digit 8 is worth 800 The digit 1 is worth 10 The digit 3 is worth 3 Write down the value of the digits underlined in the numbers below Let's see, thousands, hundreds, tens and units. Now, try to write out these numbers IN WORDS. The first one is done for you! three thousand, four hundred and fifty six P a g e

17 Read and write whole numbers. Partition numbers into ThHTU = What numbers need to go in the boxes below? = = = = = In the number there are: 9 thousands and 8 hundreds and 7 tens and 6 units I think I get it! 6. How many thousands are there in 4 089? 7. How many thousands are there in 6 123? 8. What is the value of the 6 in 4 690? 9. What is the value of the 4 in 3 457? 10. What is the value of the 6 in 2 468? 17 P a g e

18 Read and write whole numbers. Partition numbers into ThHTU Th H T U This abacus shows 3 thousands, 5 hundreds, 5 tens and 6 units. The number is written In words: three thousand, five hundred and fifty six. Write down what the abacus shows for this: Let's see - it looks like 7 units. Th H T U 18 P a g e

19 Read and write whole numbers. Partition numbers into ThHTU What numbers do these show? Write the answers IN FIGURES and then IN WORDS Th H T U Th H T U I'm getting the hang of this now - quite easy really! P a g e

20 Read and write whole numbers. Partition numbers into ThHTU PLACE VALUE - CALCULATOR WORK For each of the following you are only allowed to carry out one operation - this means type in the original number, then type in a sign, a number of your choice and the equals sign - once only! 1. Change to Change 7 781to Change 8 000to Change to Change to Work out the following: 6. Which is more: 15 tens or 2 hundreds? 7. Which is more: 1 thousand or 12 hundreds? 8. Which is less: 4 hundred or 41 tens? 9. Which is more: 2 thousand or 22 hundreds? 10. Which is less: 6 thousands or 58 hundreds? Make the BIGGEST number that you can from the following digits. Write the number down. Then make the SMALLEST possible number. Take the smallest from the largest, using a calculator , 7, 8, , 0, 4, , 3, 1, , 7, 6, , 0, 9, 0 20 P a g e

21 Revise vocabulary for comparing and ordering numbers More than - less than with negative numbers > < < means " is less than". You might see: -6 < -4 This means -6 is less than -4 > means " is more than". You might see -4 > -6 This means -4 is more than -6 Put the correct sign in these statements: P a g e

22 Revise vocabulary for comparing and ordering numbers More than - less than with negative numbers < > Be careful with negative numbers: -1 is less than 0. Remember: < means "is less than" and > means "is more than" Put the correct sign in these statements: P a g e

23 Revise vocabulary for comparing and ordering numbers COMPARING NUMBERS 1. Which is more: or 5 135? 2. Which is more: or 6 135? 3. Which is more: or 2 579? 4.Which is more: or 9 305? 4 967m is 5.Which is more: or 7 654? much further than 6.Which is longer: m or m? 4 679m. I think.. 7. Which is longer: m or m? 8. Which is longer: m or m? 9. Which is shorter: km or km? 10. Which is shorter: km or km? 11. Is a smaller amount than 7 061? 12. Is a larger amount than 2 670? 13. Is less than 3 005? 14. Sam has walked metres. Jim has walked metres. Who has walked further? How many metres further? 15. Sarah has saved Jenny has saved Who has saved the most? How much more has she saved? 23 P a g e

24 Revise vocabulary for comparing and ordering numbers COMPARING NUMBERS 1. Which is more: or 4 783? 2. Which is more: or 5 904? 3. Which is more: or 1 738? 4. Which is more: or 2 442? 5. Which is more: or 9 283? 6. Which is longer: m or m? 7. Which is longer: m or m? 8. Which is longer: m or m? 9. Which is shorter: km or km? 10. Which is shorter: km or km? I think I would rather have 6 501, given the choice. 11. Is a smaller amount than 6 051? 12. Is a larger amount than 2 854? 13. Is less than 7 546? 14. Karen has walked metres. Neeta has walked metres. Who has walked further? How many metres further? 15. Chris has saved James has saved Who has saved the most? How much more has he saved? 24 P a g e

25 Revise vocabulary for comparing and ordering numbers NUMBER LINES 1. Show on the number line what number is half way between 630 and Show on the number line what number is half way between and Show on the number line what number is half way between and Show on the number line what number is half way between and Without using a number line write down what is half way between these numbers: and and and and and and My score for a test was half way between the bottom mark of 150 and the top mark of 170. What was my score? 12. Sarah is 130 cm tall. Carol is 160 cm tall. Lindy is half way between the heights of Sarah and Carol. How tall is she? 25 P a g e

26 Revise vocabulary for comparing and ordering numbers NUMBER LINES 1. Show on the number line what number is half way between 420 and Show on the number line what number is half way between and Show on the number line what number is half way between and Show on the number line what number is half way between and Without using a number line write down what is half way between these numbers: and and and and and and Tim scored 140 in his end of term test. Carl got the top mark of 200. Matthew scored half way between Tim and Carl. What was his score? 12. Steve is 120 cm tall. Kevin is 160 cm tall. Andy is half way between the heights of Steve and Kevin. How tall is he? 26 P a g e

27 Revise vocabulary for comparing and ordering numbers Fill in the missing numbers on these number lines: Check whether the numbers are going up in ones, tens or hundreds My car cost between and Suggest what it might have cost. 6. A family took between $ and $ dollars on holiday with them to Florida. Suggest exactly how much they might have taken. 27 P a g e

28 Revise vocabulary for comparing and ordering numbers Fill in the missing numbers on these number lines: Are they going up in ones, tens or hundreds? Holidays to France cost between and Suggest what a holiday might have cost. 6. What is half way between and 3 400? 28 P a g e

29 Revise vocabulary for comparing and ordering numbers Put these numbers in order, starting with the smallest: Put these numbers in order, starting with the largest: Put these rivers in order of size, starting with the longest: River Yukon km River Mississippi km River Danube km River Murray km River Zambesi km How many ssss? 8. If < < 3 260, list all the whole numbers could be. 9. TRUE or FALSE? > TRUE or FALSE? > Put the correct sign in the box to make these statements true P a g e

30 Recognise and order negative numbers 1. a) Use the pack of positive and negative number cards and put all the numbers in order, smallest first. b) Put all the even numbers in order, smallest first. Miss out the odd numbers. c) Put all the three times table in order, smallest first. Miss out the other numbers. 2. Practise counting backwards from 5 to 5. Can you do this without making a mistake? 3. Put the missing numbers on the rectangles, so that the numbers are in sequence No problem! 4. Fill in the missing numbers on the number line P a g e

31 Recognise and order negative numbers 1. a) Use the pack of positive and negative number cards and put all the numbers in order, largest first. b) Put all the odd numbers in order, largest first. Miss out the even numbers. c) Put all the four times table in order, largest first. Miss out the other numbers. 2. Practise counting backwards from 6 to 6 in twos. Can you do this without making a mistake? 3. Put the missing numbers on the rectangles, so that the numbers are in a sequence of even numbers Piece of cake! 4. Fill in the missing numbers on the number line P a g e

32 Recognise and order negative numbers 1. Draw an arrow pointing to This thermometer shows a temperature of 3 o C o C Who's turned off the heating? What temperature does this thermometer show? o C 3. Measure some cold temperatures yourself using a strip thermometer. If it is a warm day, ask your teacher or parent if you may put some things in the freezer for a few minutes. What is the temperature inside your fridge? 4. Which temperature is greater: 6 o C or 3 o C? 32 P a g e

33 Recognise and order negative numbers 1. Draw an arrow pointing to This thermometer shows a temperature of 4 o C oc OK, this has gone far enough! It's getting cold in here. What temperature does this thermometer show? oc 3. Ask your teacher or parent if you may put a solid object such as a piece of wood in the freezer for a while. Take it out and measure its temperature every ten minutes using a strip thermometer. Put your results in a table. 4. Put these temperatures in order, lowest first: 1 o C, 0 o C, 5 o C, 2 o C, 4 o C, 3 o C 33 P a g e

34 Recognise and order negative numbers 1. What numbers are the arrows pointing at? A B C D What numbers are the arrows pointing at? A B C D I can do these lying down. 3. What numbers are the arrows pointing at? A B C D P a g e

35 Recognise and order negative numbers 1. What numbers are the arrows pointing at? A B C D What numbers are the arrows pointing at? A B C D Maths is so relaxing. 3. What numbers are the arrows pointing at? A B C D P a g e

36 Recognise and order negative numbers 1. Put arrows on the even numbers. The first three have been done for you Put arrows on the three times table. The first two have been done for you Put arrows on the four times table Tables in the negative numbers, eh? Very interesting. 36 P a g e

37 Recognise and order negative numbers 1. Put arrows on the odd numbers. The first two have been done for you Put arrows on the five times table. The first one has been done for you Put arrows on the seven times table You will be asking me to learn my negative two times table next! 37 P a g e

38 Extend number sequences by counting on and back Fill in the missing numbers in these sequences: 1. 53, 58, 63, 68,, 2. 49, 53, 57, 61,, 3. 39, 42,, 48,, , 62, 66,,, 5. 47, 42, 37,, 27, 6. 99, 96,, 90,, 84 7., 33, 29, 25,, 17 8.,, 87, 85, 83, Take a 6 x 6 square. Starting at 1 count on in twos. Circle or colour the numbers you land on Yes! Another What do you notice? If you went on, would 45 be in your sequence? How do you know? 38 P a g e

39 Extend number sequences by counting on and back Fill in the missing numbers in these sequences: 1. 55, 53, 51, 49,, 2. 21, 26, 31, 36,, 3. 5, 9,, 17,, , 70, 73,,, 5. 8, 11, 14,, 20, 6. 42, 39,, 33,, 27 7., 99, 94, 89,, 79 8.,, 21, 19, 17, Take a 6 x 6 square. Starting at 1 count on in threes. Circle or colour the squares. What do you notice? pattern Yes! Yet another 10. If you started at 5 and counted on in threes would you get a similar pattern? How is it different? 39 P a g e

40 Extend number sequences by counting on and back Number sequences Put the next two numbers into these sequences. Then say what the rule is for the sequence. Example: 3, 6, 9, 12, Rule: The numbers are going up in threes 1. 9, 13, 17, 21, Rule 2. 27, 32, 37, 42, Rule , 85, 89, 93, Rule , 69, 71, 73, Rule , 93, 97, 101, Rule , 95, 93, 91, Rule , 39, 36, 33, Rule , 73, 69, 65, Rule. 40 P a g e

41 Extend number sequences by counting on and back Number sequences Put the next two numbers into these sequences. Then say what the rule is for the sequence. Example: 5, 9, 13, 17, Rule: The numbers are going up in fours 1. 10, 15, 20, 25, Rule 2. 87, 90, 93, 96, Rule , 38, 42, 46, Rule , 91, 93, 95, Rule , 99, 95, 91, Rule , 22, 17, 12, Rule , 28, 25, 22, Rule , 101, 99, 97, Rule 41 P a g e

42 Revise rounding numbers is 160 rounded to the nearest whole ten 165 is 170 rounded to the nearest ten Write these numbers to the nearest whole ten: Look at the units when deciding whether to round up or down to the nearest What is the nearest ten to 563? 14. What is the nearest ten to 2 325? 15. What is the nearest ten to 3 889? 16. Round 756 to the nearest ten. 17. Round to the nearest ten. 18. What whole ten is nearest to 2 118? 42 P a g e

43 Revise rounding numbers Rounding numbers to nearest hundred is rounded to the nearest hundred is rounded to the nearest hundred. Write these numbers to the nearest whole hundred: Look at the tens when deciding whether to round up or down to the nearest hundred What is the nearest hundred to 4 839? 14. What is the nearest hundred to 2 750? 15. What is the nearest hundred to 3 148? 16. Round to the nearest hundred. 17. Round to the nearest hundred. 18. What whole hundred is nearest to 3 050? 43 P a g e

44 Revise rounding numbers Rounding numbers to nearest thousand to the nearest is to the nearest is The hundreds digit is the key number to look at when rounding to a thousand. Round these numbers to the nearest thousand: Below is a chart showing some of the highest mountains in the world. Re-draw the table rounding off these heights to the nearest metres: MOUNTAIN Mt Everest K2 Aconcagua Kilimanjaro Matterhorn HEIGHT metres metres metres metres metres 44 P a g e

45 Revise rounding numbers 1. Below is a table of the average depths of some of the oceans and seas in the world. Round off these depths to the nearest 100 metres: Pacific Ocean Indian Ocean Atlantic Ocean Caribbean Sea Mediterranean Sea m m m m m 2. Write down a number between and which is nearer to than The Australians scored 356 runs in the first innings and 248 runs in the second innings. Approximately, how many runs did the team score? 4. The distance from London Gatwick to Tel Aviv is miles. What is this to the nearest 100 miles? 5. I have driven 437 miles and I am still 678 miles from London. About how far is my total journey to London, to the nearest 100 miles? 6. New York is miles from London. Round this off to the nearest thousand miles. 7. The deepest lake in the world is Lake Baikal, in Siberia, which has a depth of metres below sea level. Round this off to the nearest 100 metres. 45 P a g e

46 Revise rounding numbers 1. Write down the lengths of these American rivers to the nearest kilometres: Mississippi Yukon km km It's the hundreds column you need to look at! Rio Grande km Arkansas Colerado Red Columbia km km km km 2. Write down a number between and which is nearer to than Write down a number between and which is nearer 2000 than The wettest place in the world is a town in India, with an annual rainfall of cm of rain. Round this off to the nearest thousand cm. 5. A basketball team scored points in a season. Round this total to the nearest 100 points. 46 P a g e

47 Revise rounding numbers 1. Which of these is the best approximation for ? a b c d Which of these is the best approximation for ? a b c d Which of these is the best approximation for 38 x 94? a. 40 x 90 b. 30 x 90 c. 40 x 100 d. 30 x Which of these is the best approximation for ? a b c d Work out approximate answers to the following sums by rounding to the nearest hundred: a Remember to look at the tens when b rounding to whole hundreds! c d e What is to the nearest whole ten? 7. What is to the nearest whole one hundred? 47 P a g e

48 Revise rounding numbers 1. What is the approximate answer for ? 2 2. What is the approximate answer for ? 2 3. Work out approximate answers to the following sums by rounding to the nearest hundred: a b easier! c d e It's getting easier and 4. What is to the nearest thousand? 5. What is to the nearest thousand? 6. To the nearest thousand what is half of 3 945? 7. To the nearest thousand what is double 4 199? 8. Round to the nearest Round to the nearest Round to the nearest P a g e

49 Revise rounding numbers Write down approximate answers to the following, in the same way as the example, by rounding to the nearest hundred: e.g is approximately Below is a table of distances between London and a number of other towns and cities, 'as the crow flies' - this means in a straight line. Round off the distances to the nearest miles. I've always wanted to go to Dallas, to see the Cowboys! 9. Athens miles 10. Cairo miles 11. Miami miles 12. Istanbul miles 13. Bombay miles 14. Dallas miles 15. New York miles Approximate: 16 ( ) 17. ( ) 18. ( ) P a g e

50 Roman Numerals Do you like the way we used to write numbers in Roman times? None of that 1, 2, 3 stuff!! You already know I to X (1 to 10) so let s look at some larger numbers. The Romans used these capital letters: I V X L C There are two rules you need to know : 1. put a smaller letter after a larger one means you add it. 2. put a smaller letter before a larger one means you take it away. These letters are put together to form all the numbers, like this: X1 = 11 XII = 12 XIII = 13 XIV = 14 XV = 15 XVI = 16 XVII = 17 XVIII = 18 XIX = 19 XX = 20 So 64 = LXIV (L + X + IV = ) 48 = XLVIII (L - X + VIII = ) Work out what numbers these Roman numerals represent: 1. XXX1 = 2. XLII = 3. LXII = 4. LXXVI = 5. CX = 6. LXIV = 7. XLVI = 8. LXXXVI = Write these numbers in Roman numerals: = = = = = = 50 P a g e

51 Roman Numerals Remember, the Romans used letters for their numbers. Here are the letters they used up to 100. The Romans used these capital letters: I V X L C Try counting up in tens using Roman numerals Try writing these Roman numerals as numbers. XXVII XXXV LV XLVII XXXIV LXXI XCI CVIII Now try these harder numbers in Roman numerals P a g e

52 Roman Numerals Remember, the Romans used letters for their numbers. Here are the letters they used up to 100. The Romans used these capital letters: I V X L C Now try and write the next three Roman numerals in these sequences of counting on in ones. 1. XXX1 XXXII 2. XLVII XLVIII 3. CXIII CXIV 4. CXXVIII CXXIX 5. LXVIII LXIX 52 P a g e

53 Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 3-D shapes? Join the shape to the name. Cube A B Cuboid Square based Pyramid Cone C D Cylinder E F Tetrahedron Octagonal Prism G H Hexagonal Prism 53 P a g e

54 Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 3-D shapes? Write the name under the shape. A C B D F E G H No cheating, now! 54 P a g e

55 Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 2-D shapes? Join the shape to the name. Semicircle A Equilateral Triangle B Isosceles Triangle C D E Rectangle Pentagon F Hexagon Heptagon G H Octagon 55 P a g e

56 Visualise, describe and classify 3-D and 2-D shapes. Can you identify each of these 2-D shapes? Write the name under the shape A B C D E F G H 56 P a g e

57 Visualise, describe and classify 3-D and 2-D shapes. P Look at these two shapes. Shape A is a convex shape and Shape B is a concave shape, but they both have six sides so they are both hexagons. Shape A Shape B Which of the shapes below are concave pentagons? A B C D E F 57 P a g e

58 Visualise, describe and classify 3-D and 2-D shapes. a) Which of these shapes are convex octagons? A B C D E F b) Which of these shapes are irregular polygons? A B C D E F c) Which of these shapes are quadrilaterals? A B C D E G H F 58 P a g e

59 Visualise, describe and classify 3-D and 2-D shapes. Draw some of your own shapes in the Venn and Carroll diagrams. One shape has been drawn for you. Quadrilaterals Pentagons Regular Irregular Hexagons Concave Shapes 59 P a g e

60 Visualise, describe and classify 3-D and 2-D shapes. Draw some of your own shapes in the Venn and Carroll diagrams. First write down what your sets are going to be. For an example, see P a g e

61 Visualise, describe and classify 3-D and 2-D shapes. Regular Polygons 61 P a g e

62 Visualise, describe and classify 3-D and 2-D shapes. Regular Polygons 62 P a g e

63 Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? Number of Degrees Three o'clock and Five o'clock Number of Degrees Two o'clock and Three o'clock Number of Degrees Six o'clock and Seven o'clock 63 P a g e

64 Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? Number of Degrees Two o'clock and Five o'clock Number of Degrees Twelve o'clock and Four o'clock Number of Degrees Nine o'clock and One o'clock 64 P a g e

65 Make turns; estimate, draw and measure angles. Remembering that in one hour, the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? Number of Degrees Eleven o'clock and Four o'clock Number of Degrees One o'clock and Five o'clock Number of Degrees Seven o'clock and Ten o'clock 65 P a g e

66 Make turns; estimate, draw and measure angles. Remembering that in one hour the hour hand on a clock turns 30 0, can you work out how many degrees the hour hand turns between these times? Put your answers in the table. From To Degrees Three o'clock Four o'clock Six o'clock Eight o'clock Five o'clock Nine o'clock Twelve o'clock Six o'clock Eleven o'clock Two o'clock Ten o'clock Three o'clock Nine o'clock Three o'clock Seven o'clock Eleven o'clock Four o'clock Eight o'clock Twelve o'clock Four o'clock Addy is facing North. If he turns 45 0 clockwise, which way will he be facing? This diagram may help you. NW N NE W SW S SE E Discuss with your teacher or parent the number of degrees there are between each compass direction. 66 P a g e

67 Make turns; estimate, draw and measure angles. Turning, Turning, Turning I'm going to face in one direction. Then I'm going to turn a little. I would like you to work out where I am facing after turning. Please put your answers in the table. NW N NE W E SW S SE First I face Then I turn Then I face N 90 0 Clockwise SW 45 0 Anti-Clockwise E Clockwise NE W 45 0 Anti-Clockwise NW 90 0 Clockwise S Anti-Clockwise SE 45 0 Clockwise 67 P a g e

68 Make turns; estimate, draw and measure angles Here is the volume control on a CD player. 0 is very quiet and 5 is very loud! If Subby turns the pointer for different volumes, can you say how many degrees he turns it each time? Put your answers in the table. From To Degrees P a g e

69 Make turns; estimate, draw and measure angles. Draw angles in the table using your set-squares Angle Your drawing P a g e

70 Make turns; estimate, draw and measure angles. Use your set squares to measure these angles. Write the number of degrees under the angles. a) b) c) d) e) f) g) h) 70 P a g e

71 Make turns; estimate, draw and measure angles. Use your set squares to measure these angles. Write the number of degrees under the angles. a) b) c) d) e) h) f) g) 71 P a g e

72 Make turns; estimate, draw and measure angles. Can you put these angles in order of size.? Put a 1 next to the smallest, a 2 next to the next smallest and so on. You may find tracing paper helpful. 72 P a g e

73 Make turns; estimate, draw and measure angles. Here are some angles. Put the letter 'A' next to those that are acute and the letter 'O' next to those that are obtuse. If you see any right angles, put a letter 'R' on them. Acute angle Obtuse Angle An angle greater than An angle greater than 0 0, and less than , and less than a) b) c) d) e) f) g) h) i) j) k) l) m) 73 P a g e

74 Make turns; estimate, draw and measure angles Here are some angles. Put the letter 'A' next to those that are acute and the letter 'O' next to those that are obtuse. If you see any right angles, put a letter 'R' on them. a) b) c) d) e) f) g) h) i) j) k) l) m) 74 P a g e

75 Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the lines of symmetry in these shapes. Some have just one line of symmetry, some have more. 75 P a g e

76 Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the lines of symmetry in these shapes. Some have just one line of symmetry, some have more. 76 P a g e

77 Reflective symmetry in 2-D shapes. Reflections and translations 1. Think about these shapes. Which have no lines of symmetry, which have just one line, which have two or more? You may like to draw them on the shapes. Draw the shapes in the correct places in the Venn Diagram. Two have been done for you. Two?! That's extremely generous! All 2-D Shapes Two or more lines of symmetry One line of symmetry No lines of symmetry 77 P a g e

78 Reflective symmetry in 2-D shapes. Reflections and translations 1. Think about these shapes. Which have no lines of symmetry, which have just one line, which have two or more? You may like to draw them on the shapes. Draw the shapes in the correct places in the Venn Diagram. Two have been done for you. Some very strange shapes here! All 2-D Shapes One line of No lines of Two or more symmetry symmetry lines of symmetry 78 P a g e

79 Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the reflection of each shape in the mirror line. The first one has been done for you. 79 P a g e

80 Reflective symmetry in 2-D shapes. Reflections and translations 1. Draw the reflection of each shape in the mirror line. The first one has been done for you. 80 P a g e

81 Reflective symmetry in 2-D shapes. Reflections and translations 1. Continue these patterns using translations and then make up some of your own: Translation just means slide the shape along a little. Thanks, Divvy, but we already knew that! Translate one square at a time to the right. Translate the happy face and the sad face two squares at a time to the right. Translate the diamond one square at a time to the left. Translate the heart and the moon two squares at a time to the left. Translate Subby one square at a time to the left. 81 P a g e

82 Reflective symmetry in 2-D shapes. Reflections and translations 1. Here is a drawing in parts. By translating each part by the number of squares shown, you can make the drawing. U means 'UP', D means 'DOWN' and R means 'RIGHT'. Good luck! 14 D 11 D 10 D 12 R 15 R 6 R 3 D 8 R 14 R 12 R 4 U 4 U 6 U 5 U 82 P a g e

83 Recognise position and direction, and use co-ordinates. The most important thing about co-ordinates!! When you plot points on a grid, remember the first number is the number of squares along and the second number is the number of squares up. This is very important!!! This point is (4,2), NOT (2,4). So this is the point (1,3)? Yes, you've got it, Brains! 83 P a g e

84 Recognise position and direction, and use co-ordinates Here is a list of co-ordinates. Plot these on the grid by putting small crosses. Because I am a really generous fellow, I have done one for you (4,5) (5,3) (2,2) (1,4) (1,5) (1,0) (4,0) (4,4) (0,2) (0,0) Well, that was pretty boring! Would you like to draw a Maths Rat's house now? Plot the points and join them up as you go. First the house: (0,0) (5,0) (5,3) (4,4) (1,4) (0,3) (0,0) Then the door: (2,0) (2,1) (3,1) (3,0) That's a great house, yes? Then the two windows: (1,2) (2,2) (2,3) (1,3) (1,2) and (3,2) (4,2) (4,3) (3,3) (3,2) 84 P a g e

85 Recognise position and direction, and use co-ordinates. Plot these points and see what they make: A star means start a new part of the drawing - do not join it to the other parts (1,1) (3,1) (3,2) (5,2) (5,1) (11,1) (11,2) (13,2) (13,1) (14,1) (15,2) (15,7) (14,8) (3,8) (2,7) (2,5) (1,5) (0,4) (0,2) (1,1) * (3,4) (5,4) (5,7) (3,7) (3,4) * (6,5) (8,5) (8,7) (6,7) (6,5) * (9,5) (11,5) (11,7) (9,7) (9,5) * (12,5) (14,5) (14,7) (12,7) (12,5) Now draw two circles radius 1cm with their centres at (4,1) and (12,1). Absolutely terrific! So lifelike! 85 P a g e

86 Recognise position and direction, and use co-ordinates. Plot these points and see what they make: A star means start a new part of the drawing - do not join it to the other parts (3,3) (6,3) (6,4) (8,4) (8,3) (12,3) (12,5) (13,6) (15,6) (15,4) (14,3) (14,1) (13,0) (3,0) (3,1) (1,3) (1,4) (0,4) (0,5) (2,5) (2,4) (3,3) * (7,4) (7,5) (4,4) (4,7) (10,9) (10,6) (7,5) * (7,8) (7,9) Now decorate your drawing. Ahoy there, me hearties! 86 P a g e

87 Recognise position and direction, and use co-ordinates. Draw your own shape on the grid below. Do not make it too difficult! Use a star to mean 'start a new part of the drawing' Write the co-ordinates of your shape below. You could give these co-ordinates to a friend to see if they can draw your shape. 87 P a g e

88 Recognise position and direction, and use co-ordinates Do you know the difference between a column and a row? Here is a column of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) What do you notice about the co-ordinates of these points? Plot another column of points that all begin (2, ). Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) I'm a bit like a column. 5 4 And I'm a bit like a row Here is a row of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) What do you notice about the co-ordinates of these points? 88 P a g e

89 Recognise position and direction, and use co-ordinates Here is a diagonal of points. Write down their co-ordinates. (, ) (, ) (, ) (, ) (, ) (, ) Add up the numbers in each bracket. What do you notice? Draw a line through the points Put the other number in each bracket so that the two numbers add up to 4. (0, ) (1, ) (2, ) (3, ) (4, ) Plot these points on the grid and draw a diagonal line through them. Can you write another set of points that will give a diagonal line and draw the line? 89 P a g e

90 Recognise position and direction, and use co-ordinates. 5 4 North West East South Imagine that the grid is like a map with North at the top and answer the questions. a) If I start at (3,1) and go two squares north, where will I end up? Give the co-ordinates of the point. b) If I start at (1,2) and go three squares east, where will I end up? Give the co-ordinates of the point. c) If I start at (4,5) and go five squares south, where will I end up? Give the co-ordinates of the point. d) If I start at (5,4) and go four squares west, where will I end up? Give the co-ordinates of the point. e) If I start at (1,1) and go three squares north-east, where will I end up? Give the co-ordinates of the point. f) If I start at (1,5) and go two squares south-east, where will I end up? Give the co-ordinates of the point. g) If I start at (0,0) and go five squares north-east, where will I end up? Give the co-ordinates of the point. h) If I start at (2,1) and move to (4,3), which direction did I travel in? i) If I start at (5,0) and move to (2,3), which direction did I travel in? 90 P a g e