Mathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : 1 Date Year 9 MEG :

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1 Personal targets to help me achieve my grade : AFL Sheet Number 1 : Standard Form, Decimals, Fractions and Percentages Standard Form I can write a number as a product of it s prime factors I can use the prime factors to find the HCF & LCM of pairs of values I can calculate with powers of 10 using Index Laws I can convert a large number into standard form and vice-versa I can convert a small number into standard form and vice-versa I can multiply and divide using standard form without calculator I can multiply and divide using standard form using a calculator I can add and subtract using standard form with/without calculator I can solve worded real-life problems involving standard form Decimals I can round to a required decimal place I can round to a required significant figure I can estimate calculations by rounding to one significant figure I can calculate and apply upper and lower bounds of calculations Can multiply and divide by a number between 0 & 1 I can add and subtract decimals I can multiply and divide decimals I can solve worded real-life problems involving decimal calculations

2 Fractions and Percentages I can add & subtract fractions I can multiply fractions I can divide fractions I can calculate with mixed numbers and fractions I can convert between fractions, percentages & decimals I can write recurring decimals as fractions I can find a percentage of an amount I can find the outcome of a given percentage increase or decrease, using multipliers I can calculate simple and compound interest I can calculate the original amount before a percentage change I can solve problems involving repeated proportional changes I can solve worded real-life problems involving percentages AFL Sheet Data 1 : Probability I know that if A and B are independent events, the probability of both A and B occurring is P(A and B) = P(A) P(B) I can list possible outcomes of 2 or more events on a tree diagram I can use tree diagrams to calculate probabilities I can use tree diagrams to calculate probabilities in without replacement sampling I understand conditional probability I can solve worded real-life problems involving probability AFL Sheet Shape 1 : Area/Volume, Angles/Pythagoras & Transformations

3 Area & Volume I can convert between metric measurements (length/area/volume) I can calculate the perimeter and area of a rectangle, triangle, parallelogram, trapezium and compound shapes of these I can calculate the area and circumference of a circle I can calculate the area of a sector of a circle I can calculate the arc length of a sector of a circle I can calculate the volume of prisms I know and use formula connecting density, volume and mass I can calculate the surface area of prisms I can solve worded real-life problems involving area and volume Angles & Pythagoras I can use Pythagoras theorem to find sides of right-angled triangle I can find angles on lines, points and vertically opposite with reasons I can find angles in triangles with reasons I can find angles in quadrilaterals with reasons I can explain why the angle sum of any quadrilateral is 360 I can recall properties and definitions of special types of quadrilateral I can calculate and use the interior and exterior angles of polygons I can use parallel lines, alternate angles, corresponding angles and interior angles to find angles giving reasons I can solve problems using angle facts of polygons and parallel lines Transformations I can describe and transform 2-D shapes that are reflections I can describe and transform 2-D shapes that are rotations

4 I can describe and transform 2-D shapes that are translations I can describe and transform 2-D shapes that are enlargements by a positive or fractional scale factor I can describe and transform 2-D shapes that are enlargements by a negative scale factor AFL Sheet Algebra 1 : Expressions, Linear Equations & Sequences Expressions I can write expressions using algebraic notation I can simplify expressions using index laws for multiplication, division and brackets I can expand single brackets, including 2 sets and simplifying I can expand and simplify double brackets I can factorise into single brackets by removing common factors I can factorise quadratic expressions into two brackets I can factorise expressions using the difference of 2 squares (DOTS) Linear Equations and Inequalities I can set up simple equations from situations or diagrams I can solve equations with the unknown on both sides I can solve equations with fractions, negatives and/or brackets I understand inequalities and show them on a number line I can solve single inequalities (e.g. 2x 3 < 7) I can solve double sided inequalities (e.g. x 5 < 2x 3 < 7) Sequences I can generate sequences given the nth term I can find the nth term of a linear sequence

5 I can find the nth term of a quadratic sequence I can solve problems using nth term formula of a linear sequence AFL Sheet Number 2 : Ratio and Proportion Ratio and Proportion I can use the equivalence of fractions, decimals and percentages to compare proportions I can calculate a proportion of an amount I can express a number as a fraction/percentage of another number I can simplify a ratio I can divide a quantity into two or more parts in a given ratio I can solve exchange rate problems I understand and can use direct proportion I understand and can use inverse proportion I can solve worded real-life problems involving ratio and proportion I can solve worded real-life problems involving percentages AFL Sheet Algebra 2 : Sampling, Averages, Diagrams Sampling, Averages, Spread I can design a two way table I understand random sampling and bias I can choose suitable methods of sampling to investigate a population, including random, systematic and stratified sampling I can find averages and range from a frequency table I can find averages and range from a grouped frequency table

6 I can calculate the mean from combined data sets Box Plots & Cumulative Frequency I can find interquartile range for list of data I can draw box plots from a list of data I can draw cumulative frequency diagrams I can use cumulative frequency diagrams to find estimates for median and IQR I can use cumulative frequency diagrams to draw box plots I can use cumulative frequency diagrams and box plots to compare two data sets, including finding the skewness Representing Data I can draw and interpret stem and leaf diagrams I can draw and interpret frequency polygons for grouped data I can draw and use pie charts I can draw and use scatter graphs, draw a line of best fit where appropriate, and recognise positive, negative and zero correlation I can interpolate and extrapolate apparent trends while knowing the dangers of so doing in scatter diagrams AFL Sheet Shape 2 : Constructions, Pythagoras & Trigonometry Constructions I can use ruler, protractor and/or compasses do constructions, including triangles, angle bisectors and perpendiculars to lines I can find loci to produce shapes and paths I can construct Loci using compasses and/or ruler I can draw plans and elevations given 3-D sketch and vice-versa I can draw and use bearings accurately to solve real-life problems Pythagoras and Trigonometry

7 I can use Pythagoras to find hypotenuse of a right-angled triangle I can use Pythagoras to find a shorter side of a right-angled triangle I can solve real-life problems using Pythagoras theorem I can use Pythagoras theorem to find length of line segment I can find the coordinates of midpoint of line segment I can remember the trigonometric ratios for sin, cos and tan I can use the appropriate ratio to find a missing side I can use the appropriate ratio to find a missing angle I know the exact values sinx and cosx for x=0,30,45,60 and 90 I know the exact values of tanx for x=0,30,45 and 60 I can solve real-life problems using Pythagoras and trigonometry, including finding angles of elevation and depression AFL Sheet Algebra 2 : Formulae and Graphs I can substitute positive and negative numbers into a formula, including powers I can derive a formula (e.g. area or perimeter from a diagram) I can solve real-life problems using formula I can change the subject of a formula involving fractions, powers or roots I can change the subject of a formula where the subject appears twice I can draw linear graphs given its equation in different forms I know linear equations give straight line graphs I can find the equations of horizontal and vertical lines i.e. y=? and x=? I know what the gradient (m) and intercept (c) are and find them from the equation of a line I can find the equation of a line in the form y=mx + c given its gradient and intercept.

8 I can find the equation of a line in the form y=mx + c given the point it crosses the y-axis and the equation of a parallel line I can find the equation of a line in the form y=mx + c by finding its gradient and intercept given 2 points or its graph I can find equation of a perpendicular line I can find the coordinates of the midpoint of a line segment I can draw quadratic curves, e.g. y = x2 + 3 I can draw cubic curves, e.g. y = x3 + x + 3 I can plot graphs of reciprocal functions, e.g. y = 1/x I can recognise the shape of the graphs of linear, quadratic, and cubic functions I can use a graph to estimate values I can use the formula connecting distance, speed and time I can draw a distance-time graph I can interpret a distance-time graph to calculate speed I can plot graphs of real life functions (e.g. conversion graphs) I can use a conversion rate to change between different currencies I can use real life graphs to solve problems by interpreting the gradient and intercept (e.g. bills) AFL Sheet Shape 3 : Circle Theorems and Similarity Circle Theorems I can solve angle problems using angle facts of polygons and parallel lines I can recall angles from same arc in same segment are equal I can recall angle at circle centre is double angle at circumference I can recall angle in a semi-circle is a right angle I can recall opposite angles of a cyclic quadrilateral sum to 1800

9 I can recall angle between tangent and radius is a right angle I can recall 2 tangents from an external point to a circle are equal I can recall and use alternate segment theorem I can solve problems using the circle theorems, giving reasons Similarity I understand similarity of 2-D shapes and identify similar shapes I can find a missing length in 2 similar shapes I understand similarity of 2-D shapes, especially triangles, using this to find missing lengths and angles I understand and use the effect of enlargement for perimeter, area and volume of shapes and solids I can find unknown lengths/areas/volumes of similar 3-D shapes AFL Sheet Data 3 : Histograms I can represent grouped continuous data on a histogram I understand and calculate frequency density I can calculate frequency from a histogram I can use information from tables and histograms to complete a table or graph I can use histograms to compare 2 or more sets of data by using modal class, range and skewness AFL Sheet Number 3 : Index Laws and Surds I can use index law for multiplication, division and brackets I can use index law for fractional and/or negative powers I can evaluate numbers written with fractional and negative powers I can use surds in exact calculations, without a calculator by simplifying, adding and subtracting them

10 I can use algebraic techniques to expand and simplify brackets containing surds I can rationalise a denominator AFL Sheet Algebra 3 : Simultaneous & Quadratic Equations & Graphical solutions Simultaneous Equations I can set up and solve equations from situations or diagrams I can solve linear equations with the unknown on both sides I can solve equations with fractions, negatives and/or brackets I can solve simultaneous equations where two of the letters have the same coefficient I can solve simultaneous equations where you need to multiply one or both of the equations. I can solve simultaneous equations where one is linear, other is quadratic I can solve real-life problems using simultaneous equations Quadratic Equations I can solve quadratic equations by factorising I can solve quadratic equations using the quadratic formula I can solve quadratic equations by completing the square Graphical Solutions I can plot graphs of exponential and reciprocal functions I can recognise the shape of the graphs of linear, quadratic, cubic, exponential and reciprocal functions I can solve simultaneous linear equations graphically I can identify and interpret roots of quadratic functions graphically I can identify and interpret intercepts of quadratic functions graphically I can identify and interpret turning points of quadratic functions graphically

11 I can find approximate solutions to simultaneous linear and quadratic/cubic equations graphically I can draw & interpret a distance-time graph to calculate speed I can plot & interpret graphs of real life functions (e.g. conversion graphs) I can use real life graphs to solve problems by interpreting the gradient and intercept (e.g. bills) AFL Sheet Shape 4 : Trigonometry and Volume/Surface Area I can remember the trigonometric ratios for sin, cos and tan I can use the appropriate ratio to find a missing side I can use the appropriate ratio to find a missing angle I know the exact values sinx and cosx for x=0,30,45,60and 90 I know the exact values of tanx for x=0,30,45 and 60 I can solve real-life problems using Pythagoras and trigonometry, including finding angles of elevation and depression I can use the sine rule to find missing side in triangles that are not right-angled I can use the sine rule to find missing angle in triangles that are not right-angled I can use the cosine rule to find missing side in triangles that are not right-angled I can use the cosine rule to find missing angle in triangles that are not right-angled I can solve real-life problems using sine and cosine rules I can calculate the area of a triangle using trigonometry I can calculate the area of segment in circle I can calculate the volume of pyramid, cone or sphere I can calculate the surface area of a pyramid, cone or sphere I can calculate volume of frustums of cones I can calculate surface area of frustums of cones

12 I can use co-ordinates to identify a point on a 3-D grid I can use Pythagoras theorem to solve 3-D problems, including calculating length of diagonal in cuboid AFL Sheet Shape 5: Vectors I understand and use vector notation and the associated vocabulary I can describe a translation by using vector notation I can represent, add and subtract vectors graphically I understand and use commutative properties of vector addition I can calculate scalar multiple of vector and represent it graphically I understand that vectors represented by parallel lines are multiples of each other I understand how the sign of a vector relates to its directions I can solve geometric problems in 2-D using vector methods I can apply vector methods for simple geometrical proofs AFL Sheet Number 4 : Proportion I can set up and use equations to solve direct proportion problems I can identify the graph of two variables in direct proportion I can set up and use an equations to solve inverse proportion problems I can identify the graphs of variables that are inversely proportional. I can discuss and interpret graphs modelling real situations AFL Sheet Algebra 4 : Algebraic Fractions I can simplify algebraic fractions (by factorising)

13 I can multiply algebraic fractions I can divide algebraic fractions I can add and subtract algebraic fractions I can solve equations involving algebraic fractions AFL Sheet Shape 5 : Congruence and Proofs I understand congruence and how it applies to transformations I understand and use the four conditions (SSS, SAS, ASA, RHS) to prove the congruence of two triangles I can use congruent triangles to prove geometric results I can prove any of the circle theorems I can derive mathematical proof algebraically AFL Sheet Algebra 5 : Transforming Graphs and Trigonometric Graphs I can translate graphs vertically I can translate graphs horizontally I can stretch graphs parallel to y-axis I can stretch graphs parallel to x-axis I can transform graphs by combining transformations I can draw the graphs of sine & cosine between -360O & 360O I can use the trig graphs to solve equations to find the trig ratios for angles between 0 and 360 degrees I understand and use the symmetry of the graphs of trigonometric functions to find further solutions to equations I can transform graphs of trigonometric functions

14 AFL Sheet Algebra 6 : Sequences I can find and use the nth term formula of a linear sequence I can solve problems using nth term formula of a linear sequence I can recognise and use Fibonacci type sequences I can recognise and use quadratic sequences I can recognise and use simple geometric progressions (r n where n is an integer, and r is a rational number > 0 or a surd) I can identify and interpret roots of quadratic functions graphically I can identify and interpret intercepts of quadratic functions graphically I can identify and interpret turning points of quadratic functions graphically AFL Sheet Data 4 : Frequency Trees, Venn Diagrams and Sampling I can record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees I can complete Venn diagrams I can calculate probability from Venn diagrams I understand and use set notation for Venn diagrams I can use Venn diagrams to calculate conditional probabilities AFL Sheet Number 5 : Rates of Change I can recall and use the formula connecting pressure I can change between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical contexts I can change between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in algebraic contexts I can interpret the gradient of a straight line graph as a rate of change I can express a multiplicative relationship between two quantities as a ratio or a fraction

15 I can relate ratios to fractions and to linear functions I can use inequality notation to specify simply error intervals due to truncation I can estimate powers and roots of any given positive number AFL Sheet Algebra 7 : Graphs I can solve quadratic inequalities in one variable I can solve quadratic & cubic equations using iteration I can expand products of more than two binomials I can identify roots of quadratics graphically I can identify intercepts graphically I can identify turning points graphically AFL Sheet : Number Revision I can calculate and use upper and lower bounds of calculations I can use calculators efficiently and appropriately to perform complex calculations with numbers of any size, knowing not to round during intermediate steps of a calculation I can solve problems using standard form with/without a calculator I can solve real-life percentage and fraction problems I can evaluate numbers written with fractional and negative powers I can use algebraic techniques to expand and simplify brackets containing surds I can rationalise a denominator Writing I can write in Standard English C

16 I can spell subject specific words correctly I can organise my written work so that the meaning is clear C C Reading I am able to identify relevant information from the texts I have read I am able to use a range of strategies to access and understand the texts I have read C C