Year 9 Mastery Statements for Assessment 1. Topic Mastery Statements - I can Essential Knowledge - I know

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1 Year 9 Mastery Statements for Assessment 1 Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae Indices (positive, and fractional) Use trial and improvement to find a square root Understand and be able to state error levels and limits of accuracy Simplify basic surds Solve problems needing the use of upper and lower bounds in calculations eg. Maximum area Calculations with standard form More complex surd calculations Solve problems involving compound measures (speed, density, pressure etc) Calculate volume and surface area of cylinders Calculate arc length and the area of sectors Rounding numbers to significant figures Square roots The upper and lower bounds of a number The metric units of measure for speed, density and pressure The formula for arc length and sector area Expand the product of two binomials The difference between equation, Rearrange more complex formulae including powers and roots formula and expression Factorise quadratic equation of form ax²+bx+c The difference between 2x 3 and (2x) 3 The special case of difference of two squares

2 Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae Interpret and use a calculator effectively Use index notation for small integer powers Index laws Standard form writing large and small numbers in standard form Rounding to 2sf and 3sf Estimating answers to questions including roots and indices Indices (positive, and fractional) Use trial and improvement to find a square root Understand and be able to state error levels and limits of accuracy Simplify basic surds Calculate the area of trapeziums Calculate the area and circumference of circles Calculate the volume and surface area of prisms Convert between metric units of volume and area Solve problems involving compound measures (speed, density, pressure etc) Calculate volume and surface area of cylinders Factorise an expression by finding the HCF Simplify expressions that involve brackets, powers and division Substitute positive and negative integers into a formula or expression Derive formula Expand the product of two binomials Rearrange more complex formulae including powers and roots The form for which numbers should be given in standard form Rounding numbers to significant figures Square roots The formulae for area and circumference of circles The formula for area of a trapezium The formula for volume of a prism The metric units of measure for speed, density and pressure That x - = +, and a negative number squared = positive The difference between equation, formula and expression

3 Topic Mastery Statements - I can Essential Knowledge - I know Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae Order decimals and negative numbers Add, subtract, multiply and divide negative numbers Multiply and divide by powers of 10 Find the HCF and LCM of 2 integers Prime factor decomposition Cubes and cube roots to 5³ Rounding to 1sf Interpret and use a calculator effectively Use index notation for small integer powers Index laws Standard form writing large and small numbers in standard form Rounding to 2sf and 3sf Estimating answers to questions including roots and indices Calculate the area of triangles and parallelograms Calculate the volume of cuboids Convert between metric and imperial units of measure Calculate the area of trapeziums Calculate the area and circumference of circles Calculate the volume and surface area of prisms Convert between metric units of volume and area Substitute positive integers into formulae/expressions Rearrange basic formulae eg a=bc to c=b/a Factorise an expression by finding the HCF Simplify expressions that involve brackets, powers and division Substitute positive and negative integers into a formula or expression Derive formula Fluent knowledge of tables Understand what a significant figure is The form for which numbers should be given in standard form The formulae for area of triangles and parallelograms The formula for volume of a cuboid The formulae for area and circumference of circles The formula for area of a trapezium The formula for volume of a prism The rules of BIDMAS apply to algebra That x - = +, and a negative number squared = positive

4 Topic Mastery Statements Essential Knowledge Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae I can order and compare decimals I can add and subtract decimals I can find the square roots of square numbers I can identify prime numbers I can round to decimal places I can order decimals and negative numbers I can add, subtract, multiply and divide negative numbers I can multiply and divide by powers of 10 I can find the HCF and LCM of 2 integers I can write any number using prime factor decomposition I know cubes and cube roots to 5³ I can round to 1sf I can calculate the area of squares and rectangles I can convert between metric units of measurement I can find volume by counting cubes I can calculate the area of triangles and parallelograms I can calculate the volume of cuboids I can convert between metric and imperial units of measure I can simplify expressions involving negative terms and where there is more than one unknown I can write/use formulae using algebra I can substitute positive integers into formulae/expressions I can rearrange basic formulae eg a=bc to c=b/a I know the prime numbers to 100 I understand decimal place value I have fluent knowledge of tables I understand what a significant figure is I know the metric units of measure for length, weight and capacity I know the formula for area of a rectangle I know the formulae for area of triangles and parallelograms I know the formula for volume of a cuboid I know how to recognise like terms I know that the rules of BIDMAS apply to algebra

5 Topic Mastery Statements Essential Knowledge Whole Numbers and Decimals Measures, perimeter area and volume Expressions and formulae I can use negative numbers in the context of temperature I can complete written and mental calculations adding and subtracting up to 3 digits I can multiply by 10 and 100 I can list factors and multiples I can identify square numbers I can round to whole numbers I can estimate answers by rounding to whole numbers I can order and compare decimals I can add and subtract decimals I can find the square roots of square numbers I can identify prime numbers I can round to decimal places I can find the perimeter of a shape by measuring I can find the area of a shape by counting squares I can calculate the area of squares and rectangles I can convert between metric units of measurement I can find volume by counting cubes I can write/use formulae in words I can understand and use basic algebraic notation eg a + a = 2a I can simplify expressions involving negative terms and where there is more than one unknown I can write/use formulae using algebra I know my multiplication tables I know the square numbers to 100 I know the definition of a factor and a multiple I know the prime numbers to 100 I understand decimal place value I know the metric units of measure for length, weight and capacity I know the formula for area of a rectangle I understand letters represent unknown numbers I know how to recognise the terms

6 Assessment point 2 Unit: Fractions Decimals & Percentages Salmon Calculate repeated percentage change (compound interest & depreciation) Calculate a percentage change (percentage profit/loss) Find the original amount after a percentage change Know the difference between compound and simple interest Blue + - x Mixed numbers + - x algebraic fractions (where numerators & denominators are just a single term) Convert recurring decimals to fractions and vice versa (only when denominators are 3 or 9) Find a percentage increase or decrease using the multiplier method Yellow Pink Green x Fractions Simplify algebraic fractions (where numerators & denominators are just a single term) Convert between fractions decimals and percentages Calculate a percentage of an amount (with a calculator) Find a percentage Increase or decrease (without using the multiplier method) Express one quantity as a percentage of another + - Fractions Order fractions by converting to the same denominator Find the reciprocal of a whole number or fraction Calculate a fraction of an amount Convert between fractions and mixed numbers Calculate a percentage of an amount (without a calculator) Shade a fraction of a shape + - Fractions with the same denominator Calculate unit fractions of an amount (up to one-tenth)

7 Unit: Angles and Properties of 2D shapes Salmon Know the basic congruence criteria for triangles (SSS, SAS, ASA & RHS) Construct a logical proof using known angle facts Blue Know that the exterior angles of a polygon sum to 360 and apply this to find unknown interior angles Know the definitions for the following parts of a circle tangent, chord, arc, sector & segment. Yellow Know and use angle facts related to parallel lines Use standard conventions for labelling sides and angles of polygons Work out unknown angles in quadrilaterals and regular polygons Pink Know the properties of special types of quadrilaterals Work out unknown angles in triangles Know that vertically opposite angles are equal Know the definitions for the following parts of a circle radius, diameter and circumference Construct angles and triangles using a ruler and a protractor Green Identify acute, obtuse, reflex and right angles Order angles by size Know the names of different types of polygons Know the names of special types of triangle and quadrilateral Understand the direction of a turn (clockwise/anticlockwise) Describe the amount of turn (½, ¼, ¾ & full turns)

8 Unit: Graphs Salmon Recognise the shapes of quadratic, cubic (y=x 3 +k only) and reciprocal graphs Plot graphs of quadratic, cubic and reciprocal functions. Sketch graphs of quadratic functions finding the roots by factorising Blue Work out the gradients of lines Recognise and use the general equation of a straight line graphs Identify parallel lines from their equations Find the coordinates of the mid-point of lines Interpret more complex real life graphs (eg distance/time) Yellow Plot graphs from tables Plot linear graphs from their equations Interpret basic real life graphs (eg conversion graphs) Recognise and use equations of horizontal and vertical lines Use coordinates in all four quadrants Green Pink Read and plot coordinates in the first quadrant

9 Unit: Statistics Use previously learned techniques to compare two distributions. Blue Salmon Calculate an estimate of the mean from grouped data Construct and interpret (with reference to correlation) scatter diagrams Yellow Calculate the mean of discrete data from a frequency table Construct and interpret time series graphs Construct and interpret more complex pie charts Understand the different types of data (primary, secondary, quantitative, qualitative, discrete and continuous) Pink Construct and interpret line graphs Construct and interpret simple pie charts Construct and interpret dual and composite bar charts Calculate means and ranges Green Construct and interpret bar charts Construct and interpret pictograms construct and interpret tally charts

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