Year 7. Student Booklet. Name... Form...

Transcription

1 Year 7 Student Booklet Name... orm...

2 Rainbow Number - Colours Add and subtract using the number line Add and subtract and whole numbers Add and subtract decimals Recall basic time facts Read and write times in words, 12hour and 24 hour Use a timeline to add and subtract times Solve simple problems involving speed, distance and time Understand place value of whole numbers and decimals on the number line Understand negative numbers position on the number line and use to perform simple calculations involving negative numbers. Understand fractions position on the number line. Represent a fraction (and mixed numbers) using a diagram Equivalent fractions and simplifying fractions Add and subtract fractions (same denominator) ind a fraction of an amount Add and subtract fractions (different denominator) Multiply fractions Divide fractions Understand that percentage means out of 100 Understand that fractions, decimals and percentages can be used as a number and as an operator ind 50% and 10% of an amount ind multiples of 5% ind multiples of 1% Solve simple percentage change problems Solve problems involving compound interest and depreciation Understand the effect of multiplying and dividing by powers of 10 Perform metric conversions Perform imperial conversions Be able to recall times tables up to 12 x 12 Long Multiplication Long Multiplication with decimals Use powers of 10 to multiply decimals e.g. 40 x 0.07 Calculation methods. e.g = = Use timetables to recall division facts, including remainders. Use bus stop method to divide (whole number answer) Bus stop division with decimals (give answers as decimals or fractions Convert fractions into decimals Dividing by two digit numbers Dividing by decimals Use ratio notation and diagrams to represent them Simplify ratios Divide an amount into a ratio Solve ratio problems Simple direct and inverse proportion problems

3 Mark / Grade 6 Skills Target Strength Date Completed T1 1st Target: 2nd Target: Mark / Grade 6 Skills Target Strength Date Completed T2 1st Target: 2nd Target:

4 Mark / Grade 6 Skills Target Strength Date Completed T3 1st Target: 2nd Target: Mark / Grade 6 Skills Target Strength Date Completed T4 1st Target: 2nd Target:

5 Mark / Grade 6 Skills Target Strength Date Completed T5 1st Target: 2nd Target:

6 Unit 1 Objectives Level Analysing & Displaying Data 3 Represent and interpret data in tables, charts and diagrams 3 ind 'most common' from a set of discrete data or grouped bar chart 3 ind the mode and range of a set of data. 3 Extract data and interpret discrete bar charts 3 Use a calculator effectively 4 Construct on paper, and using ICT simple bar graphs and bar-line / graphs 4 Extract data, interpret and draw conclusions from line graphs / 4 Extract data and interpret frequency tables / 4 ind the mode from any bar chart / 4 Construct on paper, and using ICT, frequency diagrams for grouped / discrete data 4 Collect data from a simple experiment and record in a simple / frequency table 4 ind the modal class for a small set of grouped discrete data / 4 Calculate the median of a set of data / 4 Compare two simple distributions using the range, mode and median / 5 Calculate the mean for a small set of discrete data / 5 Draw conclusions from simple statistics for a single distribution / 5 ind the mode, median, mean and range for a set of data / 5 Compare sets of data using their ranges and averages / 5 Construct and interpret compound and dual (comparative) bar charts 5 Use two way tables for discrete data. 5 Construct and interpret pie charts and line graphs 5 Use questionnaire responses to complete a data collection sheet 5 Construct a simple frequency table with equal class intervals for continuous data.

7 Level Analysing & Displaying Data 6 Construct line graphs for time series (requency Polygon) 6 Interpret and/or compare bar graphs and frequency diagrams which are misleading (with false origins, different scales etc.). 6 Construct and interpret scatter graphs 6 Use correlation to describe relations between sets of data 6 ind the modal class of a set of continuous data 6 Make inferences about data through extracting information from a two way table 7 Draw and use a line a best fit to estimate a missing value Level Calculation & Number Skills 3 Add and subtract several numbers, looking for strategies 3 Understand and apply the order in simple calculations (no brackets) 3 Recognise and extend number sequences formed by counting on or counting back 3 Develop calculator skills involving negative number input, sign change, squares and square root keys 3 Round positive whole numbers to the nearest 10 4 Consolidate the rapid recall of addition and subtraction facts and positive integer complements to Use standard column procedures to add and subtract whole numbers 4 Approximate before carrying out an addition or subtraction. 4 Know square numbers, 1 x 1 up to 10 x 10, and their corresponding square roots 4 Consolidate the rapid recall of multiplication facts to 10 x 10 4 Order positive and negative integers in context; show positions on number lines 4 Multiply and divide integers by 10 and 100 and 1000 and explain the effect 4 Divide a quantity into two parts in a given ratio where ratio is given in worded form /

8 Level Calculation & Number Skills 5 Know and use the priority of operations and laws of arithmetic / (BIDMAS) 5 Round whole number and decimals / 5 Check answers using various methods / 5 Use written methods to add, subtract, multiply and divide whole / numbers 5 Recognise and use factors, multiples and prime numbers / 5 Use index notation for squares, cubes and positive integer powers of / 10 (e.g. write 27 as 3³ and 1000 as 10³) 5 ind factor pairs using any whole number 5 Multiply and divide negative integers by a positive integer 5 Divide three-digit by two-digit whole numbers 5 ind the C or LCM of 2 numbers less than 20 5 Give the positive and negative square root of a square number. 5 Be able to estimate square roots of non-square numbers less than Be able to work with calculations where the brackets are squared or square rooted 5 Checking by an inverse operation (questions other than four rules, e.g. square roots checked with squaring) 6 Combine laws of arithmetic for brackets with mental calculations of square roots 6 Combine laws of arithmetic for brackets with mental calculations of cubes, (e.g. ( )^3) 6 Be able to find cube roots by factorising e.g. cube root of 216 is cube root of 8 x 27 which is = 8x27 should be given to them 6 Be able to use mental strategies to solve word problems set in context using square roots and cubes roots mentally TEST 1

9 Unit 3 Objectives Level Expressions, unctions and ormulae 4 ind outputs of simple functions expressed in words and symbols 4 Describe simple functions in words 4 Substitute positive integers into simple formulae expressed in words 4 Simplify simple linear algebraic expressions by collecting like terms 4 Substitute positive integers into simple formulae expressed in words 5 Substitute integers into simple formulae expressed in letter symbols 5 Construct expressions from worded description, using addition, subtraction and multiplication 5 Identify variables and use letter symbols 5 Identify the unknowns in a formula and a function 5 Derive simple formulae expressed in letter symbols / 5 Understand the difference between an expression and a formula and the meaning of the key vocabulary 'term' 5 Know that the contents of brackets are evaluated first when using algebra 5 Derive more complex formulae expressed in letter symbols (e.g. 30/x, x y, m/2, 3m + 4, a + a + 3, a²) 5 Begin to multiply a positive integer over a bracket containing linear terms (e.g. 4(x + 3)) 6 Substitute positive and negative integers into simple formulae (eg distance = speed x time) 6 Know that multiplication and division are carried out before addition and subtraction e.g. ab + cd, a x b and c x d must be calculated before adding 6 Understand the different role of letter symbols in formulae and functions 6 Understand the difference between 2n and n² 6 Know that expressions involving repeated multiplication can be written as n, n 2, n 3 6 Evaluate an expression by substituting a positive value into the expression x 2 or x 3 6 actorise common factors e.g. 6a + 8b=2(3a + 4b) 6 Multiply a single term over a bracket e.g. x(x + 4), 3x(2x 3) 6 Derive complex algebraic expressions and formulae (e.g. to cook a joint of beef, allow 20 mins per 1/2 kg and another 30 mins, write a formula to show the number of minutes, m, to cook the joint which weighs x kg) / / / /

10 Unit 4 Objectives Level Graphs, Decimals, ractions and Measures 4 Interpret information from a simple real life graph, eg temperature (including negatives), rainfall; conversion graphs - metric units and currencies 4 Read x and y coordinate in the first quadrant 4 Plot a co-ordinate in the first quadrant 4 Know and understand conventions and notation used for 2-D co-ordinates in the first quadrant 4 Order and round decimals 4 Use the symbols =,, <, >,, / 4 Read scales 4 Calculate with decimals / 4 Use measures and conversions 5 Read x and y co-ordinate in all four quadrants 5 Generate first quadrant co-ordinates that satisfy a simple linear rule; plot these 5 Use a diagram to compare two or more simple fractions 5 Begin to add and subtract simple fractions and those with simple common denominators 5 Extend the possible fractions that can be used in mental calculations by using halving and doubling strategies 5 Express one number as a fraction of another. The numbers should be very simple (halves, quarters, thirds). 5 Simplify fractions by cancelling all common factors 5 use < and > to compare fractions with same denominator, or unit fractions with different denominators 5 Add and subtract simple fractions with denominators of any size 5 Recall of equivalent fractions and decimals and percentage including for fractions that are greater than 1. Match across all 3 types, and need to be simple fractions (1/2, 1/4, 1/5, 1/10) 5 Recall known facts including fraction to decimal conversions 6 Use division to convert a fraction to a decimal 6 Interpret division as a multiplicative inverse. Know that 1 divided by 1/4 is the same as 1 x 4 6 Understand the effect of multiplying a positive number by a fraction less than 1 TEST 2

11 Unit 5 Objectives Level actors, Multiples & ractions 3 Develop calculator skills involving the use of clear keys and all operation keys 3 Identify at least 2 factors of 2 digit numbers with 3 or 4 factors 3 Recognise multiples of 2, 5, and 10 and 25 3 Apply simple tests of divisibility (2, 9, 10, 5) 3 Round up or down after division, depending on context 4 Extend written methods to TU U & TU U 4 Recognise and use multiples and factors 4 Apply simple tests of divisibility (3, 6, 9, 4) 4 Know and use the order of operations (four rules, not powers or brackets) 4 Understand multiplication as it applies to whole numbers. 4 ind common factors and primes 4 Recognise and use common factor, highest common factor and lowest common multiple 4 Identify numbers with exactly 2 factors (primes) 4 Compare fractions / 5 Simplify fractions / 5 Calculate with fractions / (addition, subtraction and fractions of amounts) 5 Work with equivalent fractions, decimals and percentages / 5 ind percentages of amounts 6 Add and subtract mixed number fractions without common denominators. 6 Add and subtract up to 3 fractions mixing both addition and subtraction into the calculation, with denominators less than or equal to 12 and the using the LCM denominator in the calculation - the answer can be a mixed number 6 Multiply and divide an integer by a fraction 7 Cancel common factors before multiplying fractions 7 Multiply a fraction by a mixed number 7 Divide a fraction by a fraction

12 Unit 6 Objectives Level Decimals, Measures & Probability 3 Recognise the relationship between hundredths and tenths 3 Know what each digit represents in numbers with up to two decimal places 3 Read and write whole numbers in figures and words 3 Order metric units of measurement (e.g. 1 mm, 1 cm, 1 m, 1 km or equivalent) 3 Draw and measure lines to the nearest millimetre (in mm) 3 Use decimal notation for tenths and hundredths 3 Record readings and estimates from scales to a suitable degree of accuracy 4 Choose suitable units to estimate or measure length, mass and capacity 4 Round positive whole numbers to the nearest 10, 100 or Round decimals to one decimal place or to the nearest whole number 4 Read and interpret scales involving decimals on a range of measuring instruments 4 Use standard column procedures to add and subtract decimals with up to two places 4 Consolidate and extend mental methods of calculation to include decimals 4 Enter and interpret numbers on a calculator in different contexts (decimals and money) 4 Enter money amounts on calculator 4 Use the vocabulary of probability

13 Level Decimals, Measures & Probability 5 Round decimals to two decimal places in context of money only 5 Understand and use the probability scale from 0 to 1 5 Calculate probability based on equally likely outcomes 5 Calculate the probability of an event not happening 5 Calculate experimental probability 5 Multiply and divide decimals with one or two places by single-digit whole numbers 5 Add and subtract more than two integers or decimals with up to two decimal places, but with varying numbers of significant figures and using a mixture of operations within the calculation 5 Understand where to position the decimal point by considering equivalent calculations which are given - not the basic table fact e.g x 70 = 4.2, what is 0.6 x Know there are different ways of finding an approximate answer 6 Order positive & negative decimals as a list with the smallest on the left. 6 Write terminating decimals as fractions 6 Round numbers to two or three decimal places 6 Round to an appropriate number of decimal places after calculations, e.g. money problems after division, perimeter when using the pi key and a radius in cm etc. 6 Multiply and divide by decimals, dividing by transforming to division by an integer 6 Use knowledge of place value to calculate the product or division of two decimals where both are less than 1 and at least the first has two digits other than zero TEST 3

14 Unit 7 Objectives Level Lines, Angles & Shapes 3 Know and use left and right, anticlockwise and clockwise 3 Describe angles as fractions of full turns 1/4, 1/2, 3/4 3 Know and use compass points and 90, 180, Identify right angles and parallel lines 4 Use correct notation for labelling lines and angles 4 Distinguish between acute, obtuse and reflex angles 4 Use a protractor to measure acute angles to the nearest degree 4 Identify perpendicular lines 4 Use a protractor to measure obtuse angles to the nearest degree 4 Know the sum of angles on a straight line 4 Begin to estimate the size of angles 4 Use a protractor to draw acute angles to the nearest degree 4 Know the sum of angles a round a point 4 Identify and label angles and lines 4 Use properties of 2D shapes / 5 Calculate angles in a triangle / 5 Draw triangles accurately / 5 Solve problems involving angles / 5 Identify all the symmetries of 2-D shapes 5 Solve geometric problems using symmetry, side and angle properties of equilateral and isosceles triangles and quadrilaterals 5 Solve simple geometrical problems showing reasoning 5 ind co-ordinates of points determined by geometric information 5 Identify alternate angles 5 Recognise and use vertically opposite angles

15 Level Lines, Angles & Shapes 6 Identify corresponding angles 6 Understand a proof that the sum of the angles of a triangle is 180 degrees 6 Understand a proof that the sum of the angles of a quadrilateral is 360 degrees 6 Classify quadrilaterals by their geometric properties 6 Explain how to find the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons 6 Identify alternate and corresponding angles on the same diagram 6 Calculate the interior and exterior angles of regular polygons 6 Understand a proof that the exterior angle of a triangle is equal to the sum of the two interior opposite angles 7 Use the interior and exterior angles of regular and irregular polygons Unit 8 Objectives Level ractions, Ratio & Proportion 3 Order fractions with common denominators or unit fractions using diagrams 3 Recognise when two fractions are equivalent with a diagram 3 ind simple fractions of whole number quantities 3 Relate fractions to division 4 Cancel a fraction down to its simplest form 4 Use fraction notation to describe parts of shapes. 4 Consolidate and extend mental methods of calculation to include fractions. (Adding and subtracting fractions with common denominators) 4 Understand a percentage as the number of parts per Convert a percentage to a number of hundredths or tenths 4 Recognise the equivalence of fractions, decimals and percentages 4 ind simple percentages of whole number quantities 4 Change an improper fraction to a mixed number

16 Level ractions, Ratio & Proportion 5 Use fractions to compare proportions / 5 Understand and use ratios 5 Solve problems involving direct proportion 5 Use percentages to compare proportions 5 Reduce a ratio to its simplest form 5 Increase the knowledge of standard metric units to include tonne, hectare 5 Divide a quantity into two parts in a given ratio, where ratio given in ratio notation 5 Reduce a three part ratio to its simplest form by cancelling 5 Simplify a ratio expressed in different units 5 Understand the relationship between ratio and proportion (convert proportions to ratios) 5 Write ratios as fractions, percentages 5 Solve word problems involving direct proportion 5 Use the unitary method to solve simple word problems involving ratio and direct proportion 6 Divide a quantity into more than 2 parts in a given ratio 6 Simplify a ratio expressed in fractions or decimals 6 Convert between larger area measures to smaller ones (e.g. cm² to mm²) 6 Compare ratios by changing them to the form 1:m or m:1 6 Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions Test 4

17 Unit 9 Objectives Level Graphs & Sequences 4 Interpret information from a simple real life graph, eg temperature (including negatives), rainfall; conversion graphs - metric units and currencies 4 Read x and y coordinate in the first quadrant 4 Plot a co-ordinate in the first quadrant 4 Know and understand conventions and notation used for 2-D co-ordinates in the first quadrant 5 Generate first quadrant co-ordinates that satisfy a simple linear rule; plot these 5 Generate and describe simple and more complex sequences including / nth term 5 Recognise and plot straight line graphs / 5 Identify and plot coordinates in all four quadrants / 5 Make links between graphs, sequences and functions / 5 Know that an arithmetic sequence is generated by a starting number a, then adding a constant number d 5 ind a term given its position in a sequences like 10 th number in 4x table is 40 (one operations on n) 5 Generate and describe integer sequences such as powers of 2 and growing rectangles 5 Read x and y co-ordinates in all four quadrants 5 Generate terms of a liner sequences using term to term using positive or negative integers 5 Recognise straight line graphs parallel to x or y axis 5 Understand the infinite nature of a set of integers 5 Begin to use a linear expression to describe the nth term in a one-step arithmetic sequence 5 Generate terms of a linear sequence using position to term with positive integers using the nth term. 5 Generate terms from a complex practical context (e.g maximum crossing for a given number of lines). 5 Predict how the sequence will/should continue and test for several more terms. 5 Know how to find the midpoint of a line segment 5 Plot a graph of a simple linear function in the first quadrant. 5 Compare graphs of simple functions

18 Level Graphs & Sequences 6 Begin to use linear expressions to describe the nth term in a two-step arithmetic sequence (e.g nth term is 3n + 1 or 2n 3) 6 Generate terms of a linear sequences using position to term with negative integers 6 Generate four quadrant coordinate pairs of simple linear functions 6 Recognise geometric sequences and appreciate other sequences that arise 6 Begin to use formal algebra to describe the nth term in an arithmetic sequence 6 ind the midpoint of a horizontal or vertical line segment AB, using coordinates of these points (no diagrams) 6 ind the midpoint of a diagonal line segment AB using the coordinate of these points (no diagrams) 6 In tables of functions compare changes in y with corresponding changes in x and how this relates to the function (e.g if in a table they y values goes up by 3, the coefficient of x is 3) 6 Plot and recognise graphs of y = x and y = x 6 Plot the graphs of simple linear functions in the form y = mx + c in four quadrants 6 ind the term-to-term rule for geometric sequences and continue to the next few terms.

19 Unit 10 Objectives Level Shapes, Perimeter, Area, Volume & Transformations 3 Know names of regular polygons 3 Recognise properties of squares and rectangles 3 Classify triangles (isosceles, equilateral, scalene) using equal angles, sides or lines of symmetry 3 Calculate perimeters of rectangles and regular polygons 3 Understand and measure perimeters of rectangles and regular polygons 3 Recognise where a shape will be after a translation 3 Recognise where a shape will be after a reflection 4 Calculate the perimeter and area of shapes made from rectangles 4 Use units of measurement to estimate and solve problems in everyday contexts involving length, area 4 ind the perimeter of a square/rectangle by counting 4 Choose suitable metric units to estimate area 4 ind the measurement of a side given the perimeter of squares and rectangles 4 Use the formulae to calculate the area of a square/rectangle 4 Recognise and visualise the symmetry of a 2D shape line symmetry and rotation symmetry 4 Describe reflection symmetry of any triangle or quadrilateral 4 Identify simple angle, side and symmetry properties of triangles 4 Describe line symmetry properties of regular polygons 4 Solve simple geometrical problems using properties of triangles 4 Describe congruence. / 4 Describe reflections / 4 Describe rotations / 4 Describe translations /

20 Level Shapes, Perimeter, Area, Volume & Transformations 5 ind the area of triangles by counting / i.e. adding full and partial squares 5 ind enlargements and scale factors. / 5 Identify line and rotational symmetry. / 5 Combine transformations / 5 Calculate the perimeter and area of more complex shapes made from rectangles 5 Use nets to calculate the surface area of simple cuboids 5 Identify more complex nets of 3D shapes including irregular polyhedra. 5 Calculate the surface area of simple cuboids (without use of nets) 5 Convert cm 3 to ml and litres and vice versa 5 Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons) 6 Calculate areas of compound shapes made from rectangles and triangles 6 Deduce a formula for the area of a triangle 6 Deduce and use the formula for the area of a parallelogram 6 Deduce a formula for the area of a trapezium 6 Use a formula to calculate the area of parallelograms 6 Know and use the formula for the volume of a cuboid in a simple situation 6 Know and use the formula for the volume of a cuboid in a more complex situation 6 Calculate volumes of shapes made from cuboids, for lengths given as whole numbers 6 Calculate surface areas of shapes made from cuboids, for lengths given as whole numbers 6 Convert between area measures (e.g. mm² to cm², cm² to m², and vice versa) 6 Convert between volume measures (e.g. mm³ to cm³, cm³ to m³, and vice versa) TEST 5