S1/2 Checklist S1/2 Checklist. Whole Numbers. No. Skill Done CfE Code(s) 1 Know that a whole number is a normal counting


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1 Whole Numbers 1 Know that a whole number is a normal counting MNU 00a number such as 0, 1,, 3, 4, Count past 10 MNU 003a 3 Know why place value is important MNU 10a 4 Know that approximating means to get an answer MNU 101a close to the actual (true) answer 5 Add whole numbers (no carrying) without a calculator (e.g ) MNU 103a 6 Add whole numbers (carrying) without a calculator (e.g ) MNU 103a 7 Add whole numbers mentally MNU 103a 8 Approximate answers to adding sums (e.g ) MNU 101a 9 Subtract whole numbers (no borrowing) without a calculator MNU 103a (e.g. 65 ) 10 Subtract whole numbers (borrowing) without a calculator MNU 103a (e.g. 7 38) 11 Subtract whole numbers mentally MNU 103a 1 Approximate answers to subtraction sums (e.g ) MNU 101a 13 Add and subtract whole numbers in reallife problems MNU 303a 14 Multiply a whole number by a single digit without a calculator MNU 103a (e.g. 3 5, 56 9, 879 8) 15 Know how to make the times tables MNU 103a 16 Know the times tables up to 1 1 MNU 103a 17 Multiply whole numbers mentally (e.g. 7 8, 1 4, 35 6) MNU 103a 18 Approximate answers to multiplication sums (e.g ) MNU 101a 19 Multiply a whole number by 10, 100 and MNU 103a (e.g. 5 10, 6 100, 1 000, 30 10, , ) 0 Multiply a whole number by multiples of 10, 100 and MNU 103a (e.g. 4 0, 3 400, , 78 90) 1 Multiply two digit whole numbers without a calculator MNU 103a (e.g , 44 75) Multiply bigger whole numbers (e.g ) MNU 103a 3 Multiply whole numbers in reallife situations MNU 303a 4 Know that a power of a whole number is that number multiplied by MTH 306a 3 itself so many times (e.g. = ) 5 Divide a whole number by a single digit (no remainder) (e.g. 38 7) MNU 103a 6 Divide whole numbers (no remainder) mentally (e.g. 36 9) MNU 103a 7 Divide whole numbers (remainder) mentally (e.g. 40 7) MNU 103a 8 Approximate answers to division sums (e.g ) MNU 101a 1
2 9 Divide whole numbers (no remainder) without a calculator (e.g. 84 6, 119 7) 30 Divide whole numbers (remainder) without a calculator (e.g. 87 5, 13 9) MNU 103a MNU 103a 31 Divide a whole number by 10, 100 and MNU 103a (e.g , , , , , ) 3 Divide whole numbers by multiples of 10, 100 and MNU 103a (e.g. 40 0, , ) 33 Divide whole numbers in reallife situations MNU 303a 34 List even and odd numbers MNU 00a 35 Find factors of a whole number (e.g. 10 has 1,, 5 and 10) MTH 05a 36 Know that a whole number is prime if its only factors MTH 305b are 1 and the whole number itself 37 Know why 1 is not prime MTH 305b 38 Know why is the only even prime MTH 305b 39 Find the prime numbers up to 100 using the Sieve of Eratosthenes, MTH 305b or otherwise 40 Find prime factors of a whole number (e.g. 0 has and 5) MTH 305b 41 Write a whole number as a product of powers of primes (e.g. 7 = 3 3, 50 = 5 ) MTH 305b, MTH 306a 4 Know that rounding means to approximate (estimate) MNU 01a 43 Round a whole number to the nearest 10 (e.g. 9, 35, 85) MNU 301a 44 Round a whole number to the nearest 100 (e.g. 47, 149, 1 55) MNU 301a 45 Round a whole number to the nearest (e.g. 459, 499, 3 500) MNU 301a 46 Find the square of a number (e.g. 1, 4, 10, 1 ) MTH 306a 47 Find the square root of a number (e.g. 1, 49, 11 ) MTH 406a 48 Know that BODMAS means Brackets, Orders, Division, MTH 03c Multiplication, Addition and Subtraction 49 Use BODMAS without brackets (e.g = 59) MTH 03c 50 Use BODMAS with brackets (e.g. 1 (5 ) = 7) MTH 403b
3 Fractions, Percentages and Decimals 1 Know that a fraction is (usually) part of a whole and written as, MNU 107a numerator denominator Work out unitary fractions (numerator = 1) of a whole number without a calculator (e.g. half of 0, quarter of 48) 3 Work out other fractions of a whole number without a calculator such as, MNU 107b MNU 107b 3 4 of 16 of Know that a proper fraction is one where the numerator is smaller than the denominator (e.g. /3) 5 Know that an improper fraction (aka topheavy) is one where the numerator is bigger than the denominator (e.g. 5/4) MNU 107a MNU 107a 6 Know that a mixed number is a whole number plus a proper fraction MNU 107a 7 Change a mixed number into an improper fraction, for example, MTH 307c 3 7 = Change an improper fraction into a mixed number, for example, 14 3 = Know that equivalent fractions are ones that are the same (e.g. /4 = 1/) 10 Simplify fractions and write fractions in simplest form such as, 0 4 = Add and subtract fractions with the same denominator such as, MTH 307c MTH 107c MTH 07c MTH 307b = , = Add and subtract fractions with different denominators such as, MTH 307b 3
4 = 5 7, = Multiply fractions, for example, MTH 407b = Know that a percentage is a fraction with denominator = 100 MNU 07a 15 Know that 100 % = 1 whole and 1 % = 1 out of 100 MNU 07a 16 Know other important equivalences between fractions and common percentages such as, MNU 07b 50 % = 5 % = 75 % = 0 % = 10 % = % = Change simple percentages to fractions such as, MNU 07a 70 % = = Work out common or simple percentages of a whole number without MNU 07a a calculator (e.g. 5 % of 64, 60% of 740) 19 Know that a decimal (number) is a whole number with a decimal point MNU 0a and a number of digits (fractional part) after the point 0 Round a decimal to the nearest unit (e.g. 0 4, 3 5, 5 9), tenth MNU 301a (e.g. 1 45, 449) or hundredth (e.g. 0 56, ) 1 Find a decimal on a number scale (up to hundredths) MNU 07a Add decimals (up to 3 d.p.) without a calculator MNU 07a 4
5 (e.g ) 3 Subtract decimals (up to 3 d.p.) without a calculator (e.g ) 4 Multiply a decimal (up to 3 d.p.) by a single digit whole number (e.g ) 5 Multiply a decimal (up to 3 d.p.) by 10, 100 and (e.g , , ) 6 Multiply a decimal (up to 3 d.p.) by a multiple of 10, 100 or (e.g , , ) 7 Divide a decimal (up to 3 d.p.) by a single digit whole number (e.g ) 8 Divide a decimal (up to 3 d.p.) by 10, 100 and (e.g , , ) 9 Divide a decimal (up to 3 d.p.) by a multiple of 10, 100 or (e.g , , ) MNU 07a MNU 07a MNU 07a MNU 07a MNU 07a MNU 07a MNU 07a 30 Know simple decimals such as 50 % = 0 5 and 5 % = 0 5 MNU 07a 31 Work out commonly used percentages (such as 60 %, 5 % ) MNU 07a of a whole number or decimal without a calculator 3 Work out other percentages with a calculator MNU 307a (e.g. 3 % of 43, 1 7 % of 65, 37 % of 9 3) 33 Work out one number as a percentage of another with a calculator (e.g. 1 as a percentage of 47) MNU 307a 34 Know that every fraction can be written as a decimal that either terminates (stops) or goes on forever (recurs), for example, 5 = 0 4 MNU 07b 5 = = 0 5& 9 35 Change simple fractions and percentages to decimals MNU 07b 36 Divide two small whole numbers without a calculator, giving the MNU 307a answer to a certain number of decimal places (e.g. /3 = correct to 3 d.p.) 5
6 Temperature and Integers 1 Know that an integer is a whole or negative whole number MNU 04a Know that temperature is a measure of hotness or coldness MNU 04a 3 Know units of temperature (e.g. degrees Celsius ( C )) MNU 04a 4 Read temperature from a thermometer MNU 304a 5 Add small integers without a calculator (e.g. 3 + ( 5)) MNU 04a 6 Add other integers with a calculator (e.g ) MNU 04a 7 Subtract small integers without a calculator (e.g. 11 ( 17)) MNU 04a 8 Subtract other integers with a calculator (e.g. 671 ( 53)) MNU 04a 9 Work out temperature differences MNU 304a 10 Multiply integers (e.g. 3 4, 5 ( 4), ( 6) ( 7)) MNU 04a 11 Divide integers (e.g. 0 5, 56 ( 7), ( 60) ( 1)) MNU 04a Patterns and Sequences 1 Spot a number pattern and continue it MTH 113b Give the rule used to get the next number in a number pattern MTH 113b 3 Spot a picture pattern and continue it MTH 013a 4 Describe the rule used to get the next picture in a picture pattern MTH 013a 5 Make a table from a picture pattern with constant differences MTH 113b 6 From a table, work out a rule for the number of items in the n th MTH 313a, MTH 413a picture (n th term formula) for a simple picture pattern with constant differences (e.g. n, 3n, 4n, 5n) 7 From a table, work out a rule for the number of items in the n th MTH 313a, picture for a complicated picture pattern with constant MTH 413a differences (e.g. n + 3, 3n 1, 5n ) 8 Use the n th term rule to find the number of items in the n th MTH 413a picture 9 Use the n th term formula to find which picture (value of n) MTH 413a has a certain number of items 10 Solve reallife problems using sequences MTH 413a 11 Spot triangular numbers and know how they are made from pictures MTH 013a 1 Spot square numbers and know how they are made from pictures MTH 013a 13 Explore other figurate numbers MTH 13a 14 Build up the Fibonacci sequence MTH 13a 15 Explore how Fibonacci numbers arise in reallife MTH 013a 6
7 Symmetry and Tilings 1 Know that a shape has symmetry if, after changing it, the shape looks the same MTH 119a Know that a reflection involves a line of symmetry MTH 19a, 3 Find a line of symmetry on a shape MTH 19a, 4 Draw a vertical line of symmetry on a picture (e.g. capital W) MTH 19a, 5 Complete a picture that has a vertical line of symmetry MTH 19a, 6 Make a picture that has a vertical line of symmetry MTH 19a, 7 Draw a horizontal line of symmetry on a picture (e.g. capital H) MTH 19a, 8 Complete a picture that has a horizontal line of symmetry MTH 19a, 9 Make a picture that has a horizontal line of symmetry MTH 19a, 10 Draw more than 1 line of symmetry on a picture (e.g. rectangle) MTH 19a, 11 Draw a diagonal line of symmetry on a picture (e.g. square) MTH 19a, 1 Complete a picture that has a diagonal line of symmetry MTH 19a, 13 Make a picture that has a diagonal line of symmetry MTH 19a, 14 Know that a rectangle does not have a diagonal line of symmetry MTH 119a 15 Investigate reflection symmetry in reallife MTH 119a 16 Know that a rotation involves a turning about MTH 419a the middle of a picture 17 Know that the order of rotational symmetry is the number of MTH 419a times the picture must be turned to get it back to the original picture 18 Complete a picture which has halfturn symmetry MTH 419a 19 Complete a picture on squared paper which has halfturn symmetry MTH 419a 0 Complete a picture which has quarterturn symmetry MTH 419a 7
8 1 Complete a picture on squared paper which MTH 419a has quarterturn symmetry Investigate rotational symmetry in reallife MTH 119a 3 Know that a glide symmetry involves sliding (translating) a picture a given distance along a straight line and reflecting it MTH 119a 4 Complete a pattern that has glide symmetry MTH 19a, 5 Make a pattern that has glide symmetry MTH 019a 6 Investigate glide symmetry in reallife MTH 119a 7 Know that a tiling (tessellation) is a way of covering a flat surface without overlaps or gaps (like bathroom tiles) MTH 116b 8 Know that any square, triangle or rectangle makes a tiling MTH 116b 9 Know that any quadrilateral or regular hexagon makes a tiling MTH 116b 30 Know that there are 3 regular (aka Platonic) tilings MTH 116b 31 Continue a regular tiling pattern MTH 116b 3 Make a regular tiling pattern MTH 116b 33 Know that there are 8 semiregular tilings MTH 116b 34 Continue a semiregular tiling pattern MTH 116b 35 Make a semiregular tiling pattern MTH 116b 36 Know why a pentagon does not make a tiling MTH 116b 37 Investigate other shapes that don t tile MTH 116b 38 Investigate Penrose tilings MTH 116b Mass and Weight 1 Know that mass is a measure of how much material there is MNU 011a Know that weight is a measure of how heavy something is MNU 011a 3 Know that in maths, weight is often (incorrectly) used for mass MNU 011a 4 Estimate the weight of an object MNU 111a 5 Weigh objects using various devices MNU 111a 6 Know that units of mass include grams (g) and kilograms (kg) MNU 111a 7 Know that 1 kg = g MNU 11b 8 Change kilograms to grams MNU 11b 9 Change grams to kilograms MNU 11b 10 Know that 1 tonne = kg MNU 11b 11 Change kilograms to tonnes MNU 11b 1 Change tonnes to kilograms MNU 11b 8
9 Time, Distance and Speed 1 Know that time is a measure of how long something lasts MNU 010a Know different units of time (e.g. seconds, minutes, hours, days) MNU 010a 3 Use a clock or watch to tell the time MNU 010a 4 Use a stopwatch to accurately measure times MNU 010a 5 Estimate how long something takes MNU 110c 6 Know that 60 seconds = 1 minute MNU 010a 7 Change minutes to seconds (e.g. 7 min = 40 s) MNU 010a 8 Change seconds to minutes (e.g. 10 s = 3 5 min) MNU 010a 9 Change minutes into minutes and seconds MNU 010a 10 Change minutes and seconds into minutes only MNU 010a 11 Know that 60 minutes = 1 hour MNU 010a 1 Change hours to minutes (e.g. 4 h = 40 min) MNU 010a 13 Change minutes to hours (e.g. 150 min = 5 h) MNU 010a 14 Change hours and minutes into hours only MNU 010a 15 Change hours into hours and minutes MNU 010a 16 Know that 4 hours = 1 day MNU 010a 17 Change days to hours (e.g. 5 days = 10 h) MNU 010a 18 Change hours to days (e.g. 36 h = 1 5 days) MNU 010a 19 Know the 7 days of the week and their order MNU 010a 0 Know how many days are in each month MNU 010a 1 Know the 1 months of the year and their order MNU 010a Know that a leap year has 366 days MNU 010a 3 Decide whether or not a specific year is a leap year MNU 010a 4 Change 1 hour time to 4hour time (e.g pm 13 57) MNU 110a 5 Change 4 hour time to 1hour time (e.g am) MNU 110a 6 Write time in words and figures (e.g or twentyfive to eight) MNU 010a 7 Add times, especially in hours and minutes MNU 010a 8 Subtract times, especially in hours and minutes MNU 010a 9 Work out time differences in the same day (e.g to 3 13) MNU 010a 30 Work out time differences over midnight (e.g. 11 pm to 6 am) MNU 010a 31 Use a timetable (e.g. bus or train) to plan a journey MNU 10a 3 Plan a personal routine using a clock or diary MNU 110b 33 Know that Earth has 4 time zones MNU 010a 34 Plan a journey that involves travelling between time zones MNU 10a 35 Know that an Earth day is not the same as a day on other planets MNU 010a 36 Know that distance is a measure of how far away something is MNU 010a 37 Know different units of distance (e.g. metres, kilometers, miles) MNU 010a 9
10 38 Know that speed is a measure of how fast something moves MNU 010a 39 Know different units of speed (e.g. miles per hour) MNU 010a 40 Work out distance D when told speed S and time T using, MNU 310a D = S T without a calculator (e.g. S = 5 5 mph, T = h) 41 Work out distance D when told speed S and time T using, MNU 310a D = S T with a calculator (e.g. S = 3 9 m/s, T = 7 6 s) 4 Calculate speed using, MNU 310a S = D T without a calculator (e.g. D = 56 m, T = 4 s) 43 Calculate speed using, MNU 310a S = D T with a calculator (e.g. D = 39 miles, T = 7 h) 44 Calculate time using, MNU 310a T = D S without a calculator (e.g. D = 10 km, S = 6 km/s ) 45 Calculate time using, MNU 310a T = D S with a calculator (e.g. D = 63 m, S = 13 m/s ) 46 Draw a distancetime graph MNU 410b 47 Know that the steepness of a distancetime graph shows speed MNU 410b 48 Know what a flat part of a distancetime graph means MNU 410b 49 Use a distancetime graph to solve problems MNU 410b 50 Estimate how long a journey may take at a certain speed MNU 10c 10
11 Angles 1 Know that an angle is the shape made by lines (arms) sharing a common endpoint and that a unit of angle is the degree MTH 17a Use 3 letters to name an angle MTH 317a 3 Know that an acute angle is strictly between 0 and 90, an obtuse MTH 17a angle is strictly between 90 and 180 and a reflex angle is strictly between 180 and Know that a right angle has 90 MTH 17a 5 Know that complementary angles add up to 90 MTH 17a 6 Work out a missing angle at a right angle MTH 317a 7 Know that a straight line has 180 MTH 17a 8 Know that supplementary angles add up to 180 MTH 17a 9 Work out a missing angle at a straight line MTH 317a 10 Know that a circle has 360 MTH 17a 11 Work out a missing angle in a circle MTH 317a 1 Use a protractor to measure an angle smaller than 180 MTH 17b 13 Use a protractor to measure an angle bigger than 180 MTH 17b 14 Use a protractor to draw an angle MTH 17b 15 Estimate sizes of angles MTH 17a 16 Know that parallel lines are ones that never meet MTH 317a 17 Know that a transversal is a line that crosses MTH 317a or more lines at different points 18 Know that corresponding angles (aka Fangles) are made MTH 317a when a transversal crosses a pair of parallel lines 19 Know that corresponding angles are equal MTH 317a 0 Know that alternate angles (aka Zangles) are made MTH 317a when a transversal crosses a pair of parallel lines 1 Know that alternate angles are equal MTH 317a Know that vertically opposite angles (aka Xangles) are made when two straight lines cross each other MTH 317a 3 Know that vertically opposite angles are equal MTH 317a 4 Know that the 3 angles in any triangle add up to 180 MTH 317a 5 Find a missing angle in a triangle when told the other angles MTH 317a 6 Know that the 4 angles in a quadrilateral add up to 360 MTH 317a 7 Find a missing angle in a quadrilateral when told the other 3 angles MTH 317a 8 Find the sum of the interior angles in a polygon MTH 317a 9 Find the sum of the exterior angles in a polygon MTH 317a 30 Find missing angles in various constructions and geometric figures MTH 317a 11
12 Ratio and Proportion 1 Know that things are in direct proportion (aka direct variation) if one increases at the same rate as the other Solve simple proportion problems such as, if identical bottles weigh 40 grams, find the weight of 1 of these bottles 3 Solve more difficult problems involving proportion such as, if 3 identical items cost 1 36, find the cost of 5 of these items 4 Know that a ratio is a way of dividing up something into or more segments, each segment being made up of equal parts 5 Know that a ratio of a to b (written a : b) means that for each amount of a there is an amount b (and that the total number of parts = a + b); for example, a ratio of boys to 3 girls means that for every boys, there are 3 girls ( : 3) 6 Know that a ratio of a : b does not equal a ratio of b : a unless a = b MNU 308a MNU 308a MNU 308a MNU 308a MNU 308a MNU 308a 7 Know that a ratio of 1 : 1 means equal parts MNU 308a 8 Simplify ratios such as, : 4, 17 : 51, 35 : 5 and 00 : 350 MNU 308a 9 Work out problems involving ratios by considering the total number of parts 10 Work out problems involving proportion by multiplying or dividing the relevant whole numbers 11 Know that a graph of direct proportion is a straight line passing through the origin of a coordinate system 1 Solve direct proportion problems such as, if the cost of a carpet varies directly as its length and a 5 metre long carpet costs 340 (i) how much will a carpet of 8 metres cost (ii) how long is a carpet which costs 38? MNU 308a MNU 308a MTH 413d MNU 308a 1
13 Directions, Bearings and Scale Drawings 1 Give directions for a journey using the words left, right, back and forward MTH 017a Follow directions for a journey MTH 117a 3 Know that the four cardinal compass directions are North (N), MTH 17c South (S), East (E) and West (W) and know where they point 4 Know that a bearing is an angle (i) written using 3 digits (ii) measured clockwise from a North line MTH 17c 5 Work out the bearing of a point B from a point A by drawing the North line at A and measuring clockwise to B MTH 17c 6 Measure the bearing of one point from another MTH 17c 7 Know the bearings of the 4 cardinal compass directions, i.e. N (0 ), MTH 17c E (090 ), S (180 ) and W (70 ) 8 Know that four of the intercardinal compass directions are North East (NE), North West (NW), South East (SE) and South West (SW) and know where they point MTH 17c 9 Know the bearings of the 4 intercardinal compass directions, i.e. MTH 17c NE (045 ), SE (135 ), SW (5 ) and NW (315 ) 10 Describe a given journey using compass directions MTH 17c 11 Know the meaning of backbearing MTH 17c 1 Know that if a point B has a bearing from A that is bigger than MTH 17c 180, the backbearing is the bearing minus Know that if a point B has a bearing from A that is smaller than MTH 17c 180, the backbearing is the bearing plus Use bearings and backbearings to solve navigational problems MTH 17c 15 Know that a scale is a rule for working out an actual (reallife) length when told the measured length (and vice versa) MTH 17d 16 Know that a scale is usually written as a ratio MTH 17d 17 Work out a reallife length when told the MTH 317c scale and the measured length 18 Know what a scale drawing is MTH 17d 19 Make a scale drawing of a line MTH 317c 0 Make a scale drawing of a square or rectangle MTH 317c 1 Make scale drawings of other shapes and figures MTH 317c Use scale drawings to solve practical problems MTH 317b such as designing a house 3 Plot a point given the bearing and distance from another point MTH 317b 4 Plot point C given the bearing and distance from points A and B MTH 317b 13
14 Coordinates 1 Know that a coordinate is a pair of things (usually numbers) (x, y), x being the x  coordinate and y the y  coordinate Know that a coordinate grid consists of an equally spaced (usually numbered) horizontal line (x  axis), an equally spaced (usually numbered) vertical line (y  axis) and the origin (where the axes cross) 3 Know that (x, y) is not the same as (y, x) unless x and y are the same MTH 18a, MTH 318a MTH 18a, MTH 318a MTH 18a, MTH 318a 4 Know that points such as (3, 0), (8, 0) and (0, 0) are on the x  axis MTH 18a, MTH 318a 5 Know that points such as (0, ), (0, 9) and (0, 0) are on the y  axis MTH 18a, MTH 318a 6 Know that the origin has coordinates (0, 0) MTH 18a, MTH 318a 7 Plot a coordinate when x and y are positive or zero MTH 18a, MTH 318a 8 Find and give the coordinates of an object on a grid with numbers and/or letters MTH 118a, MTH 18a, MTH 318a 9 Know that a coordinate grid can be divided into 4 quadrants MTH 418a 10 Plot coordinates in all four quadrants MTH 418a 11 Given 3 points on any coordinate grid, plot another point to complete a quadrilateral 1 Given points on any coordinate grid, plot other points to complete a quadrilateral 13 Given the area of a quadrilateral and 1 or vertices as coordinates on any coordinate grid, plot a coordinate (or ) to complete the quadrilateral MTH 418a MTH 418a MTH 418a 14
15 Statistics and Probability 1 Use tally marks to count MNU 00a Know that data (aka information) is a list of things, usually numbers MNU 00a 3 Collect data MNU 00a 4 Know that a frequency table (aka tally chart) is a way of MTH 11a recording how many times something happens 5 Make a tally chart MTH 11a 6 Know the meaning of grouped data MNU 10b 7 Make a frequency table using grouped data MNU 10b 8 Make a frequency polygon using grouped data MTH 11a 9 Know that the mode is the most common thing and MTH 40b work out the mode from a list of things 10 Calculate the mode from a frequency table MTH 40b 11 Calculate the range of data using the equation, MTH 40b Range = Highest number Lowest number 1 Calculate the range from a frequency table MTH 40b 13 Work out the mean using the equation, MTH 40b Mean = Total How many numbers there are 14 Calculate the mean of data that has 0 and negative numbers MTH 40b 15 Calculate the mean from a frequency table MTH 40b 16 Know that the median of a data set is the middle number when the MTH 40b list is written from lowest to highest; in the case of numbers in the middle, the mean of these is taken to find the median 17 Calculate the median of some data MTH 40b 18 Calculate the median from a frequency table MTH 40b 19 Read information from a bar graph MNU 0a 0 Draw a bar graph MTH 11a 1 Read information from a pictograph MNU 0a Draw a pictograph MTH 11a 3 Read information from a line graph MNU 0a 4 Draw a line graph MTH 11a 5 Read information from a pie chart MNU 0a 6 Draw a pie chart MTH 11a 7 Use statistics in reallife situations MNU 00c, MNU 30a, MNU 30b 15
16 8 Know that probability measures the likelihood (the chances ) of something (event or outcome) happening 9 Know that probability is worked out using the equation, MNU 40a MNU 1a MNU 3a Probability = f t where f = number of favourable outcomes and t = total number of outcomes 30 Write probability as a fraction, decimal or percentage MNU 3a 31 Mark probability on a likelihood line MNU 3a 3 Do probability experiments (e.g. with cards or dice) MNU a 33 Predict what might happen in a probability experiment MNU a 34 Know that the total probability of all possible outcomes of an event equals 1 35 Know that probability written as a fraction always has the numerator less than or equal to the denominator 36 Know that probability written as a decimal always has a value between 0 and 1 (including both these values) 37 Know that probability written as a percentage always has a value between 0 % and 100 % (including both these values) 38 Know that a probability of 0 (or 0 %) means no chance of a given event happening 39 Know that a probability close to 0 (or 0 %) means (very) unlikely to happen MNU a MNU 3a MNU 3a MNU 3a MNU 1a MNU 1a 40 Know that a probability of 1 (or 100 %) means certainty MNU 1a 41 Know that a probability close to 1 (or 100 %) MNU 1a means (very) likely to happen 4 Calculate the probability of simple events (such as obtaining a 5 MNU 3a from rolling a fair 6sided die numbered from 1 to 6), leaving the answer as a fraction 43 Calculate the probability of a value occurring in a MNU a frequency table, leaving the answer as a fraction 44 Predict how many times an event is likely to occur MNU 4a 45 Use probability in reallife situations MNU 4a 16
17 Algebraic Expressions 1 Know the meaning of (algebraic) expression MTH 314a Know the meaning of term in an algebraic expression MTH 314a 3 Write down examples of expressions MTH 314a 4 Make expressions from reallife situations MTH 314a 5 Collect like terms together (e.g. x + 5x x) MTH 314a 6 Know the meaning of simplify an expression MTH 314a 7 Add and subtract expressions (e.g. 3x + 5 x 1) MTH 314a 8 Multiply and divide expressions (e.g. x 3x, 1x 4x) MTH 314a 9 Know when expressions are the same MTH 314a 10 Work out an expression by replacing letters with numbers (substitution) MTH 314a 11 Expand/break brackets (e.g. 3 (x 4)) MTH 414a 1 Use BODMAS to evaluate an expression MTH 314a 13 Find algebraic factors (factors of an algebraic term) MTH 414b 14 Find common factors of algebraic terms (e.g. 3x and 1x ) MTH 414b 15 Factorise simple algebraic expressions (e.g. 1x 7) MTH 414b Volume 1 Know that volume measures how much 3D space there is in a shape MNU 011a Know that units of volume include cubic centimetres (cm 3 ), cubic MNU 111a metres (m 3 ), litres (l) and millitres (ml) 3 Estimate volume MNU 111a 4 Know that 1 l = ml MNU 11b 5 Change litres to millilitres MNU 11b 6 Change millilitres to litres MNU 11b 7 Work out the volume of a cube or cuboid by using the equations, MNU 11c V = L L L (Cube) V = L B H (Cuboid) 8 Work out the height of a cuboid when told its volume and sides MTH 311b 9 Work out the volume of a shape by counting cubes MNU 11c 10 Calculate the volume of a prism given the base area and length MTH 411c 11 Work out the volume of a compound 3D shape MTH 311b 17
18 Solving Equations and Inequations 1 Know that an equation links expressions that are the same (balanced) MTH 115a Solve simple equations involving pictures MTH 115b 3 Make an equation from a number machine or picture MTH 315a 4 Solve 1step equations (e.g. 3x = 18, x = 0, 5 + x = 11) MTH 315a 5 Solve step equations (e.g. 5x 3 = 17, 3x 3 = 18) MTH 315a 6 Solve equations with 4 terms (e.g. 3x + = 18 x) MTH 415a 7 Solve equations with brackets (e.g. 6 (x 1) = 4) MTH 415a 8 Solve equations involving multiplying brackets MTH 415a (e.g. (x + 1) (x + 1) = (x + ) (x 3)) 9 Solve equations with fractions (e.g. 1 (x 1) = 16) MTH 415a 10 Know that an inequation links expressions MTH 115a that are not necessarily the same 11 Know the meanings of the 4 inequality symbols ( <, >, and ) MTH 115a 1 Solve simple inequations using pictures MTH 415a 13 Make an inequation MTH 415a 14 Solve 1step inequations (e.g. 3x < 4, x > 0, 6 + x 17) MTH 415a 15 Solve step inequations (e.g. 4x 3 > 5, 4x 3 < 1) MTH 415a 16 Solve inequations with 4 terms ( of which involve the unknown) (e.g. 3x x) MTH 415a 17 Solve inequations with brackets (e.g. (x 3) 4) MTH 415a 18 Solve inequations involving multiplying brackets MTH 415a (e.g. (x + 1) (x + 1) (x + ) (x 3)) 19 Solve inequations with fractions (e.g. 1 (x 1) < 16) MTH 415a 18
19 Length 1 Know that length is a measure of how long something is MNU 011a Know that units of length are the same as those of distance MNU 111a 3 Estimate the length of an object MNU 111a 4 Measure lengths of objects using various devices MNU 111a 5 Know that 1 cm = 10 mm MNU 11b 6 Change millimetres into centimetres MNU 11b 7 Change centimetres into millimetres MNU 11b 8 Know that 1 m = 100 cm MNU 11b 9 Change metres into centimetres MNU 11b 10 Change centimetres into metres MNU 11b 11 Know that 1 km = m MNU 11b 1 Change metres into kilometres MNU 11b 13 Change kilometres into metres MNU 11b 14 Add lengths in the same units (e.g. 3 cm plus 48 cm) MNU 11b 15 Add lengths in different units (e.g. 17 cm and 0 5 m) MNU 11b 16 Subtract lengths in the same units (e.g. 96 cm minus 37 cm) MNU 11b 17 Subtract lengths in different units (e.g. 0 5 m minus 4 cm) MNU 11b 18 Know that perimeter is the total distance once around a D shape MNU 11c 19 Work out the perimeter of a square MNU 11c 0 Work out the perimeter of a rectangle MNU 11c 1 Work out the perimeter of a shape that can MNU 11c be broken up into rectangles only Calculate the perimeter of a complicated shape MNU 11c made up of rectangles and triangles only 3 Know how the radius and diameter of a circle are linked MTH 416b 4 Know that the circumference of a circle with radius r is the perimeter and calculated using the equation, MTH 416b C = πr 5 Know that a semicircle is half a circle MTH 416b 6 Calculate the perimeter of a composite shape involving semicircles MTH 416b 19
20 Area 1 Know that area measures how much D space there is in a shape MNU 011a Know units for area (e.g. square centimetres (cm ) ) MNU 011a 3 Estimate the area of a shape MNU 111b 4 Know that 1 cm = 100 mm MNU 11b 5 Change square millimetres into square centimetres MNU 11b 6 Change square centimetres into square millimetres MNU 11b 7 Know that 1 m = cm MNU 11b 8 Change metres into centimetres MNU 11b 9 Change centimetres into metres MNU 11b 10 Know that 1 km = m MNU 11b 11 Change square metres into square kilometres MNU 11b 1 Change square kilometres into square metres MNU 11b 13 Know that 1 h = m MNU 11b 14 Change hectares into square metres MNU 11b 15 Change square metres into hectares MNU 11b 16 Work out the area of a square (L = length) using, A = L L 17 Work out the area of a rectangle (L = length, B = breadth) using, MNU 11c, MNU 311a MNU 11c, MNU 311a A = L B 18 Work out the area of a triangle (H = height, B = breadth) using, A = B H MNU 11c, MNU 311a 19 Work out areas of shapes by counting squares and halfsquares MNU 11c 0 Work out the area of a kite or rhombus (diagonals c and d ) using, MNU 311a A = c d 1 Work out the area of a parallelogram (base B and height H ) using, MNU 311a A = B H Work out the area of a circle (r = radius) using, MNU 311a A = πr 3 Work out the area of a composite shape MTH 311b 0
21 D and 3D Shapes 1 Know that a dimensional (D) shape is a (closed) shape drawn on a (usually flat) surface MTH 116a Know the meaning of vertex MTH 16a 3 Know that a 3sided shape is called a triangle MTH 116a 4 Know that a quadrilateral is a 4sided shape MTH 116a 5 Know that a square is a quadrilateral with (i) all sides the same (ii) 4 right angles (iii) diagonals that bisect each other (iv) 4 lines of symmetry MTH 16a 6 Know that a rectangle is a quadrilateral with (i) pairs of parallel lines (different length) (ii) 4 right angles (iii) diagonals that bisect each other (iv) lines of symmetry 7 Know that a parallelogram is a quadrilateral with (i) pairs of parallel sides (different length) (ii) equal, opposite, acute and equal, opposite, obtuse angles (iii) diagonals that bisect each other (iv) halfturn symmetry, but no lines of symmetry 8 Know that a rhombus is a quadrilateral with (i) pairs of parallel lines (all 4 lines have the same length) (ii) equal, opposite, acute and equal, opposite, obtuse angles (iii) diagonals (different length) that bisect each other at 90 (iv) lines of symmetry 9 Know that a kite is a quadrilateral with (i) pairs of equal sides (each pair a different length), with none parallel (ii) equal opposite angles (iii) diagonals that bisect each other at 90 (iv) 1 line of symmetry MTH 16a MTH 16a MTH 16a MTH 16a 10 Know that a composite shape is one made up of simple shapes MTH 311b such as squares, rectangles, triangles and semicircles 11 Know the meaning of polygon MTH 116a 1 Know important polygons such a triangles, rectangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons and decagons MTH 116a 13 Know the meaning of convex polygon MTH 116a 14 Know the meaning of concave polygon MTH 116a 15 Sketch convex and concave polygons MTH 16c 16 Draw convex and concave polygons with a given number of sides MTH 316a using a ruler and compass 17 Know reallife applications of polygons MTH 16a 18 Name a polygon using letters MTH 116a 19 Know that a circle is all points the same MTH 416b distance from a given point (centre) 1
22 0 Draw a circle using a set of compasses MTH 316a 1 Know the meanings of radius (r) and diameter (D) and what they look like on a circle MTH 416b Know that D = r MTH 416b 3 Work out the diameter of a circle when told its radius MTH 416b 4 Work out the radius of a circle when told its diameter MTH 416b 5 Know that a 3dimensional (3D) shape is a shape drawn in space MTH 016a 6 Recognise 3D shapes such as a cube, cuboid, cylinder, pyramid, cone and sphere and name them when shown pictures of them MTH 116a 7 Know that a net of a 3D shape is a flat (D) shape which, MTH 16b when folded up, makes the 3D shape 8 Know the properties of a cube MTH 116a 9 Recognise the net of a cube MTH 16b 30 Draw the net of a cube MTH 16b 31 Decide whether or not a given net can be used to make a cube MTH 16b 3 Make a cube from its net MTH 16b 33 Know the properties of a cuboid MTH 116a 34 Recognise the net of a cuboid MTH 16b 35 Draw the net of a cuboid MTH 16b 36 Decide whether or not a given net can be used to make a cuboid MTH 16b 37 Make a cuboid from its net MTH 16b 38 Know the properties of a pyramid MTH 16a 39 Draw the net of a pyramid MTH 16b 40 Know that a prism is a shape with a flat side (base) that is MTH 116a projected along a direction of 90 to the base 41 Recognise and name a triangular prism MTH 116a (prism with a triangle as base) 4 Know the properties of a triangular prism MTH 16a 43 Draw the net of a triangular prism MTH 16b 44 Know the meaning of polyhedron MTH 116a 45 Know the meaning of convex polyhedron MTH 116a 46 Know the meaning of concave polyhedron MTH 116a 47 Sketch convex and concave polyhedra MTH 16c 48 Know reallife applications of polyhedra MTH 16a 49 Name a polyhedron using letters MTH 16b 50 Make polyhedra using nets MTH 16b 51 Know the 5 Platonic solids MTH 16a 5 Investigate Euler s formula for the vertices, edges and faces of a convex polyhedron MTH 16a
23 Triangles 1 Know that a triangle is acute if all its angles are acute MTH 116a Know that a triangle is obtuse if it has an obtuse angle MTH 116a 3 Know that a rightangled triangle is one that has a right angle MTH 116a 4 Classify triangles by angle MTH 116a 5 Recognise rightangled triangles MTH 116a 6 Know the importance of rightangled triangles in reallife MTH 116a 7 Find lines of symmetry on different types of triangles MTH 116a, MTH 19a, 8 Know that a scalene triangle is one that has all MTH 116a sides of different lengths 9 Know that an isosceles triangle is one that has sides the same MTH 116a length and the remaining side different (equivalently, angles the same and the remaining angle different) 10 Know that an equilateral triangle has all sides the same length MTH 116a (equivalently, 3 angles the same) 11 Classify triangles by length MTH 116a 1 Find missing angles in a triangle MTH 416a 13 Draw triangles using a ruler and set of compasses MTH 316a 14 Know and explore Pythagoras Theorem MTH 416a 15 Use Pythagoras theorem to calculate the hypotenuse MTH 416a in a rightangled triangle 16 Use Pythagoras theorem to calculate a shorter side in a rightangled triangle MTH 416a 3
24 History of Maths Project 1 Work sensibly and properly in a small group MTH 1a Pick out information from a variety of sources MTH 1a 3 Find information (without plagiarizing) about a mathematician by using the internet and/or other resources MTH 31a 4 Know why the mathematician is important in history MTH 31a 5 Find information (without plagiarizing) about a mathematical topic MTH 1a by using the internet and/or other resources 6 Know why the mathematical topic is important in modern times MTH 1a 7 Present findings about a mathematician and/or mathematical topic to a class MTH 1a, MTH 31a 8 Give examples of mathematical skills needed in reallife MTH 41a Financial Maths Project 1 Know the different types of coins and notes used in this country MNU 009a Know that 1 = 100 p MNU 009a 3 Know the different types of coins and notes used in other countries MNU 009a 4 Use money to pay for items MNU 109a 5 Work out how much change is expected after buying an item MNU 109a, MNU 109b 6 Work out profit and loss MNU 09c 7 Fill out an application form to open a bank account MNU 309b 8 Fill out a budget planner MNU 09b 9 Use an ATM MNU 309b 10 Know the features of different types of cards (e.g. credit card, debit card, travel card) MNU 09b 11 Fill in a payslip or a cheque MNU 309b 1 Know the meaning of debt MNU 409a 13 Know that high levels of debt is a national issue MNU 409a 14 Know how to deal with debt MNU 409a 15 Describe ways of saving money and why this is important MNU 309b 16 Know the meaning of interest rate MNU 309a 17 Know that interest rates can be different from lenders MNU 309a 18 Know the dangers of borrowing with high interest rates MNU 309a 19 Know the advantages and disadvantages of borrowing money MNU 309a 4
25 5
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