Mathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : 4 Date Year 9 MEG :

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1 Personal targets to help me achieve my grade : AFL Sheet Number 1 : Integers, Decimals, Fractions Integers I can multiply single digit numbers (know my times tables) I can multiply and divide by a power of 10 I can put numbers and decimals in ascending or descending order I can add and subtract negative numbers I can multiply and divide negative numbers I can find multiples and factors I can find squares, cubes, square roots and cube roots I can calculate Highest Common Factor (HCF) I can calculate Lowest Common Multiple (LCM) I can solve worded LCM real-life problems Calculations I can use BIDMAS for order of operations I can add and Subtract numbers I can add and Subtract decimals I can solve problems involving money I can multiply numbers (up to 3 by 2 digits) I can divide numbers (up to 3 by 2 digits) I can multiply decimal by number (up to 3 by 1 digits)

2 I can divide decimal by number (up to 3 by 1 digits) I can solve worded real-life number problems Fractions I can find equivalent fractions to any given fraction I can simplify fractions by cancelling common factors in the numerator and denominator. I can put fractions into ascending or descending order I can add and subtract fractions with same denominator I can solve worded real-life problems involving fractions I can find equivalent fractions to any given fraction AFL Sheet Data 1 : Probability Probability I can use the probability scale and find the probability of an event I can identify mutually exclusive outcomes and know sum of probabilities of these is 1 I can calculate probability from a two way table I can draw and use sample space to find probability I can find expected number of times event will occur I can calculate and use relative frequency AFL Sheet Shape 1 : Area& Measures, Angles & Transformations Area & Measures I can recall rough metric equivalents to imperial units (feet to cm, miles to km, pounds to kg, pints to litres & gallons to litres) I can convert between metric measurements (length, mass and capacity)

3 I can make estimates in everyday life (e.g. man s height) I can read analogue and digital clocks I can read timetables and calculate time intervals I can read and interpret scales on range of measuring instruments I can calculate the perimeter of rectangles I can calculate the perimeter of compound shapes I can calculate the area of rectangles I can calculate the area of triangles I can calculate the area of compound shapes I can solve worded real-life problems involving area or measures Angles I can measure, label and draw angles and lines I can find angles on lines with reasons I can find angles on points with reasons I can find angles on vertically opposite with reasons I can find angles in triangles with reasons I know names and properties of different triangles Transformations I can recognise reflection and rotation symmetry of 2-D shapes I can reflect objects given mirror line I can rotate objects I can translate objects using vectors I can describe rotations by a centre, angle and direction

4 I can describe translations using vectors I can tessellate objects AFL Sheet Algebra 1 : Expressions, Linear Equations & Sequences Expressions I can write expressions using algebraic notation I can simplify expressions I can expand single brackets I can expand 2 separate single brackets and simplify expressions I can factorise into single brackets Linear Equations and Inequalities I can set up and solve simple equations I can solve one-sided equations (unknown on one side) Sequences I can generate and describe sequences using a term-to-term rule I can generate sequences using nth term formula by substitution I can find the nth term formula of a linear sequence I can draw and describe a sequence of patterns I can solve problems using nth term formula of patterns AFL Sheet Number 2 : Ratio and Proportion, Percentages of Amounts Ratio and Proportion I can convert a fraction to a decimal

5 I can convert a decimal to a fraction I can convert a decimal and fraction to a percentage I can convert a percentage to a decimal I can convert a percentage to a fraction I can use the equivalence of fractions, decimals and percentages to compare proportions I can simplify a ratio I can divide a quantity into two or more parts in a given ratio I can solve real-life problems involving ratio and direct proportion Percentages of Amounts I can calculate a fraction of a quantity I can calculate a percentage of a quantity I can find the outcome of a given percentage increase or decrease I can solve worded real-life problems involving percentages AFL Sheet Algebra 2 : Sampling, Averages, Diagrams Collecting Data I can design a questionnaire I understand random sampling and bias I can design a data collection sheet and use it to collect data I know different types of data (qualitative, quantitative, discrete, continuous, primary, secondary) I can design and use two way tables Averages I can find the mean, median, mode and range of a list of data

6 I can find averages and range from a frequency table I can find averages and range from a grouped frequency table Displaying and Interpreting Data I can draw and interpret pictograms I can draw and interpret bar charts I can draw and use stem and leaf diagrams to find averages/range I can draw and interpret pie charts I can draw and interpret histograms (equal class width) I can draw and interpret frequency polygons I can draw and interpret scatter diagrams I can draw and use line of best fit I understand correlation (positive, negative and zero correlation) AFL Sheet Number 3 : Decimals, Factors I can round decimals to a number of decimal places I can add and Subtract decimals I can multiply decimals I can divide decimals I can write a number as a product of it s prime factors I can calculate HCF & LCM I can solve worded real-life problems involving decimals AFL Sheet Algebra 2 : Formula, Linear and Quadratic Graphs

7 Formulae I can substitute positive and negative numbers into expressions, including powers I can substitute into a formula I can solve worded real-life problems involving formula I can derive a formula (e.g. area or perimeter from a diagram) I can form and solve simple linear equations I can change the subject of a simple formula Graphs I can plot points in all 4 quadrants 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 in the form y = mx + c I can find the coordinates of the midpoint of a line segment I can draw simple quadratic curves, e.g. y = x2 + 3 AFL Sheet Shape 2 : Area, Volume and Angles Formulae I can calculate the area of a parallelogram I can calculate the area of a trapezium I can calculate the circumference of a circle I can calculate the area of a circle I can name and draw parts of the circle

8 I can identify and name 3-D shapes I can draw nets of 3-D shapes I can find the surface area of cuboids I can calculate the volume of cuboids I can calculate the volume of prisms (cylinders, triangular prisms) I can use the formula connecting density, volume and mass I can solve worded real-life problems involving area or volume Angles I can find angles in quadrilaterals with reasons I can recall properties and definitions of special types of quadrilateral I can identify and name polygons 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 AFL Sheet Number 4 : Decimal Calculations I can use BIDMAS for order of operations, including powers I can round numbers to a given number of significant figures I can estimate calculations by rounding to one significant figure and multiplying and dividing mentally I can use a given calculation to answer other questions by rearranging or changing the decimal place. I understand the effects of multiplying and dividing by numbers between 0 and 1 I can multiply and divide decimals, understanding where to put d.p. 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

9 I can solve worded real-life problems involving calculations AFL Sheet Algebra 3 : Equations and Real Life Graphs Equations I can set up and solve simple equations (unknown on one side) I can set up and solve two-sided equations (unknown on both sides) I can solve equations that include brackets, negatives and/or fractions I understand what is meant by the term inequality and show them on a number line I can solve one-sided inequalities (e.g. 2x 3 < 7) I can solve two-sided inequalities (e.g. 2x 3 < 7 + x) Real Life Graphs 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 Number 5 : Fractions and Percentages I can add and subtract fractions with different denominator I can multiply fractions I can divide fractions I understand what a reciprocal is

10 I can calculate simple interest I can use percentages in real-life situations (VAT, profit, loss) I can express a number as a percentage of another number I can solve worded real-life problems involving percentages AFL Sheet Shape 3 : Constructions and Enlargement Constructions I can read and construct scale drawings I can measure and write bearings I can draw bearings accurately to solve real-life problems I can construct triangles using ruler and compasses or protractor I can construct the perpendicular bisector of a line I can construct the perpendicular from a point on a line I can construct the bisector of an angle 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 shapes Enlargement I can enlarge Objects by positive scale factor I can enlarge Objects by positive scale factor & centre of enlargement I can describe enlargements by centre of enlargement & scale factor I understand congruence and how it applies to transformations I can describe reflections by giving the equation of the line

11 I can describe rotations by a centre, angle and direction I can describe translations using vectors AFL Sheet Shape 4 : Pythagoras Pythagoras Theorem I can use Pythagoras theorem to find hypotenuse of a right-angled triangle I can use Pythagoras theorem to find a shorter side of a right-angled triangle I can use Pythagoras theorem to find any side of a right-angled triangle I can solve real-life problems using Pythagoras theorem AFL Sheet Shape 5 : Similarity, Area and Volume I can describe and transform 2-D shapes that are reflections, rotations, translations and enlargements I understand congruence and how it applies to transformations I understand similarity of 2-D shapes I can identify similar shapes I can find a missing length in 2 similar shapes I can find a missing length in similar triangles I understand and use the effect of enlargement for perimeter, area and volume of shapes and solids I can solve worded real-life problems involving area and volume AFL Sheet Data 3 : Probability from Tree Diagrams I can draw tree diagrams

12 I can calculate probabilities from tree diagrams in contexts with replacement I can decide when to add or multiply two probabilities I can calculate probabilities from tree diagrams in contexts without replacement AFL Sheet Number 6 : Index Laws and Standard Form I can use the laws when brackets, multiplying and dividing powers I can use the laws when using negative powers I understand the display on a calculator in standard form I can input a number in standard form into a calculator 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 add, subtract, multiply & divide numbers in standard form I can solve worded real-life problems involving standard form AFL Sheet Number 7 : Percentages I can find the outcome of a given percentage increase or decrease, using multipliers I can calculate simple interest I can calculate compound interest I can calculate the original amount before a percentage change I can solve problems involving repeated proportional changes I can express a number as a percentage of another number I can solve worded real-life problems involving percentages

13 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 choose suitable methods of sampling to investigate a population, including random and stratified sampling AFL Sheet Number 8 : 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 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 calculate upper and lower bounds of calculations Data Review : Averages, Diagrams and Probability I can find averages and range from a grouped frequency table I can draw and use stem and leaf diagrams to find averages/range I can draw and interpret pie charts I can draw and interpret scatter diagrams I can calculate probability, expected number and relative frequency

14 I can solve worded real-life problems involving probability Shape Review : Angles, Area and Transformations I can solve worded real-life problems involving area or volume I can solve angle problems I can describe all transformations (reflections, rotations, translations and enlargements) AFL Sheet Algebra 4 : Sequences, Equations and Graphs I can solve real-life problems involving substituting into formula 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 recognise and use Fibonacci type sequences I recognise and use quadratic sequences I recognise and use simple geometric progressions ( where n is an integer) I can plot graphs of cubic functions I can plot graphs of reciprocal functions I recognise the shape of the graphs of quadratic and cubic functions 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 I can find and analyse gradients for graphs in the form y=mx+c I can find the equation of a line in the form y=mx + c by finding its gradient and intercept given 2 points or through one point with a given gradient I can find equation of a parallel line

15 I can solve linear equations include brackets, negatives and/or fractions 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 linear equations graphically I can solve real-life problems involving simultaneous equations I can simplify expressions, including simple index laws I can expand 2 separate single brackets and simplify expressions I can expand and simplify double brackets I can factorise quadratic expressions into two brackets I can factorise quadratic expressions into two brackets using difference of two squares I can solve quadratic equations by factorising Number Review : Calculations I can solve real-life problems involving decimals I can solve real-life problems involving percentages I can solve real-life problems involving ratio and proportion AFL Sheet Shape 6 : Trigonometry and Circles I can use Pythagoras theorem to find a missing side of a right-angled triangle 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 & 90

16 I know the exact values of tanx for x=0,30,45 & 60 I can solve real-life problems using Pythagoras and/or trigonometry 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 write answers in terms of I can solve worded real-life circles problems 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 surface area and volume of composite solids AFL Sheet Shape 7 : 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 Writing I can write in Standard English I can spell subject specific words correctly C C

17 I can organise my written work so that the meaning is clear 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