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Maths - KS3 - 2024/25

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Message Subject: Year 7 Curriculum Overview 2024-2025 “Let the questions be the curriculum” Socrates Knowledge & Understanding Literacy Skills Literacy Skills and KEY vocab Assessment What is being assessed? Homework/ Independent Learning Composites Components includes understanding of KEY concepts Formal Retrieval if any HT1 Exploring Sequences Week 1-2 Foundation • Describe and continue linear sequences. • Be able to explain why a sequence is linear. • Explain term to term rules of linear sequences. Core • Know the difference between linear, quadratic, and geometric sequences. • Find missing terms in sequences • Understand linear sequences create straight line graphs by plotting onto an axis. Higher • Describe and continue sequences including linear, quadratic, and geometric. • Be able to explain why a sequence is linear, quadratic, or geometric. • Know the shape of non-linear sequences as graphs. • Explore Fibonacci sequences. Ensure all pupils have a method for multiplication (introduce lattice grid where necessary) and division. Make use of the class insights from Sparx. Starter for Thursday’s lesson (or first lesson after Wednesday). • Linear • Non-linear • Quadratic • Geometric • Fibonacci • Increasing • Decreasing • Term • Axis • Axes • Graph Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Introduction to Sparx homework; book computer room and ensure all pupils can access and complete homework. All classes will have homework set and due on Wednesday. Place value and ordering numbers Week 3-5 Foundation • Recognise and be able to write a number up to one billion. • Be able to work out intervals and position integers on a number line. • Multiplication • Division • Sequences • Integer • Interval • Round • Approximate • Inequality • Greater than • Less than Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays.

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• Know and use the inequality signs correctly when comparing two numbers. • Round numbers to the nearest 10, 100, 1000. • Order a list of integers. Core • Understand place value with decimals. • Position fractions and decimals on a number line. • Work out intervals on a number line with decimals. • Find the range of a set of data. • Find the median of a set of data. • Round numbers to one significant figure. Higher • Introduction to standard form. • Convert large numbers between ordinary and standard form • Convert small numbers between ordinary and standard form. • Ascending • Descending • Average • Range • Median • Power • Index End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Addition and Subtraction Week 6-7 Foundation • Have a formal method for addition and subtraction of integers. • Have a formal method for addition and subtraction of decimal numbers. • Understand the concept of perimeter. • Find the perimeter of simple shapes i.e. squares, rectangles and triangles. • Solve problems with frequency trees. • Solve problems with two-way tables. • Solve problems with timetables. • Solve problems with bar charts. • Multiplication • Division • Sequences • Place Value • Sum • Difference • Commutative • Associative • Perimeter • Units • Frequency • Scale Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Core • Choose appropriate mental strategies for addition and subtraction. • Find the perimeter of any given shape, including compound shapes. • Draw and label axes accurately and construct a bar chart from a set of data. Higher • Add and subtract numbers in standard form. Key Questions: “Explain why the sequence is linear?” “Why does a sequence create a straight line when plotted on a graph?” “What happens when there are two numbers in the middle and we want to find the median?” “Why is standard form helpful?” “Why is 6.5 hours not 6 hrs 50 minutes?” (e.g.) HT2 Directed numbers Week 1/2 Foundation • Understand directed numbers in context i.e. temperature. • Represent negative numbers on a number line. • Order a set of positive and negative numbers. • Perform calculations which cross 0 i.e. 2-5, -3+7 Core • Add directed numbers. • Subtract directed numbers. • Know the rules for multiplication and division with directed numbers. • Sequences • Place value • Addition • Subtraction • Positive • Negative • Ascending • Descending • Product Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Algebraic notation Foundation • Multiplication • Division • Addition • Function • Input • Output Formative assessment will be taking place in all Sparx homework for all pupils set

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Week 2-4 • Use a function machine to find an output (up to 2 step) • Know the inverse operations (+, -, X, ÷, square, √) • Use a function machine to find an input with a given output. Core • Use letters to generalise number operations i.e. 2xa=2a, 3÷b= 3/b • Create expressions (using a function machine where appropriate) i.e. c x2 +5 = 2c+5 • Substitute values (positive, negative, fractions) into expressions. • Generate linear sequences given its nth term. • Represent simple linear functions as graphs to show that they create straight lines. Higher • Substitute values into expressions with more than 2 steps/variables. • Generate quadratic sequences given its nth term. • Represent quadratic functions on graphs to show they create curved graphs. • Find the nth term of a linear sequence. • Subtraction • Operation • Square • Square root • Inverse • Variable • Coefficient • Expression • Equation • Substitute • Brackets • Nth term classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. and due in on Wednesdays. Equality and equivalence Week 5-7 Foundation • Solve one step equations (use of calculators if possible). • Be aware of like terms and be able to collect simple expressions. Core • Sequences • Place value • Algebraic notation • Multiplication • Equivalent • Equation • Solve • Inverse • Term • Like term • Coefficient • Power • Index Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays.

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• Solve two step equations in a variety of forms with answers including negative numbers and fractions. • Be able to collect like terms involving negative numbers. • Expand a single set of brackets. Higher • Solve multi-step equations. • Solve equations with variables on both sides of an equation. • Expand two sets of brackets and simplify the expressions. • Simplify • Expand • Brackets End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Key Questions: “How do we add on/ take away a negative number?” “Why do negative numbers decrease in size but the digits themselves go up?” “How will we reverse a function machine to find an input?” “Why do we do the same thing to the left and right to balance an equation?” CIAG Numeracy skills, Researcher, Meteorologist, Analyst HT3 Algebra retrieval Week 1 Fraction, Decimal and Percentage Equivalence Weeks 2-4 Foundation • Represent tenths and hundredths on a diagram and number line. • Convert between simple fractions and decimals (tenths, hundredths, quarters, fifths) • Use hundred square to represent percentages. • Convert between simple fractions, decimals and percentages. • Use simple equivalent fractions. Core • Directed number • Multiplication and division • Algebraic notation • Equality and equivalence • Digit • Interval • Fraction • Decimal • Percentage • Equivalent • Numerator • Denominator • Mixed number • Recurring Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Convert fluently between fractions and decimals (including eighths and thousandths) • Convert between fractions, decimals, and percentages. • Identify and use equivalent fractions. Higher • Explore fractions, decimals and percentages greater than 1. • Order FDP Fractions and Percentages of an amount Week 5-6 Foundation • Find a unit fractions of a given amount. • Find a fraction of a given amount. • Find 5%, multiples of 10%, 25%, 50% and 75% of a given amount without a calculator. • Find % of an amount with a calculator. Core • Find the whole given a fraction of an amount. • Find a % of an amount without a calculator. • Use multipliers to find a % of an amount with a calculator. Higher • Increase and decrease by a given % • Solve problems with fractions and percentages greater than 1. • FDP equivalence • Directed numbers • Addition and subtraction • Place value • Fraction • Numerator • Denominator • Percent • Decimal • Multiplier Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “When we multiply a number, will it always get bigger?” “Why is it useful to be able to convert between fractions, decimals and percentages?”

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HT4 Solving Problems with multiplication and division Weeks 1-4 Foundation • Understand and use factors, multiples, and primes. • Lattice multiplication to multiply integers and decimals. • Bus stop division to divide integers and decimals. • Multiply and divide by powers of 10. • Understand appropriate metric units. • Metric conversions. • Use BIDMAS to understand order of simple calculations. • Find the areas of rectangles, parallelograms, and triangles. • Calculate the mean. Core • Find HCF and LCM by listing. • Divide by a decimal. • Divide integers with a decimal remainder. • Use BIDMAS to complete more complex calculations. • Find the area of trapezia. • Find the area of compound shapes. • Solve problems involving the mean. Higher • Find HCF and LCM using product of primes. • Multiply by 0.1 and 0.01. • Explore multiplication and division in algebraic expressions. • Fraction and percentages of amounts • Sequences • Equality and equivalence • Algebraic notation • Multiply • Divide • Product • Factor • Venn diagram • Integer • Multiple • Common • Metric • Kilo • Metre • Gram • Litre • Operation • Parallel • Perpendicular • Base • Height • Mean Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Addition and subtraction of fractions Weeks 5 and 6 Foundation • Understand representations of fractions. • Add and subtract unit fractions. • Multiplication and division • FDP equivalence • Numerator • Denominator • Ascending • Descending • Addition Formative assessment will be taking place in all classrooms using MWBs to check for Sparx homework for all pupils set and due in on Wednesdays.

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• Add and subtract fractions with the same denominator. • Add and subtract fractions with one denominator a multiple of the other. • Add and subtract fractions with different denominators. • Add and subtract integers and fractions. • Understand and use equivalent fractions. • Be able to simplify fractions. • Convert between mixed numbers and improper fractions. Core • Add and subtract mixed numbers and improper fractions. • Order fractions with different denominators. • Add and subtract fractions and decimals. • Use simple algebraic fractions. Higher • Add and subtract with algebraic fractions. • Directed numbers • Place value • Subtraction • Equivalent • Mixed number • Improper fraction • Expression • Variable pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Key Questions: “Why is area measured in units squared?” “Why are square numbers, called square numbers?” “What does equivalence mean?” CIAG Retail, Analyst, Engineer HT5 Constructing and measuring Week 1-3 (including exam week) Foundation • Be able to draw and measure line segments. • Know the different types of triangles and quadrilaterals. • Know the different types of angles. • Adding and subtracting fractions • Fraction and percentage of amounts • Line segment • Notation • Angle • Degrees • Acute • Right-angle • Obtuse Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays.

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• Be able to draw and measure acute and obtuse angles. • Know the shapes up to 10 sides. Core • Understand letter notation for line segments and angles. • Be able to draw and measure reflex angles. • Recognise and define parallel and perpendicular lines. • Know the properties of the different types of triangles. • Know the properties of different types of quadrilaterals (square, rectangle, rhombus, parallelogram, trapezium and kite). • Construct triangles using SSS, SAS and ASA. • Draw and interpret pie charts Higher • Construct parallelograms, kites and hexagons. • Equality and equivalence • Algebraic notation • Straight line • Reflex • Protractor • Quadrilateral • Polygon • Parallel • Perpendicular • Intersect • Pair of compasses • Sector End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Geometric Reasoning Week 4-6 Foundation • Understand and use angles around a point. • Understand and use angles on a straight line. • Understand and use vertically opposite angles. • Know angles in a triangle add up to 180 degrees. • Know angles in quadrilaterals add up to 360 degrees. Core • Find missing angles in isosceles and scalene triangles. • Constructing and measuring • FDP equivalence • Addition and subtraction • Multiplication and division • Angle • Degrees • Intersect • Equilateral • Isosceles • Scalene • Quadrilateral • Parallelogram • Rhombus • Trapezium • Kite • Parallel • Perpendicular • Transversal • Alternate • Corresponding • Co-interior Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Find missing angles in different quadrilaterals. • Use properties of quadrilaterals to find missing angles. Higher • Solve complex multi-step angle problems. • Investigate angles in parallel lines and understand the basic facts. • Use angle facts to obtain simple proofs. • Form and solve equation with angles. Key Questions: “How can we do a sensible to check when measuring/ drawing an angle?” "What other words do we know that use the same pre-fix as our polygon names?” “Can we calculate the interior angles in a pentagon or hexagon?” “How can we show two lines are parallel?” “Do parallel lines have to be straight lines?” HT6 Number sense Week 1-2 Foundation • Know and use number bonds for mental addition and subtraction. • Round numbers to one decimal place. • Calculate with money. Core • Use the chunking method for mental multiplication. • Use estimation to check multiplication. • Round numbers to any given decimal place. • Use rounding to estimate an answer to calculations. • Solve problems involving time and the calendar. Higher • Understand and use error interval notation. • Geometric reasoning • Sequences • Place value • Fraction and percentage of amounts • Metric units • BIDMAS • Addition • Subtraction • Multiplication • Division • Factors • Estimate • Round • Inequality • Error interval • Metric Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Convert metric units for area and volume. Probability and Sets Week 3-4 Foundation • Understand number sets. • Create Venn diagrams for sets of numbers. • Know and use the vocabulary for probability. (impossible, unlikely, even chance, likely, certain) • Generate a sample space and calculate the probability of a single event. (dice, spinners) Core • Understand and use the intersection and union of sets. • Understand and use the probability scale. • Know that all probability sums to 1. Higher • Understand and use the compliment of a set. • Number sense • Adding and subtracting fractions • Directed number • Equality and equivalence • Set • Element • Member • Venn diagram • Intersection • Mutually exclusive • Union • Compliment • Probability • Impossible • Unlikely • Even • Likely • Certain • Bias • Sample space Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Ratio Week 5-6 Foundation • Understand the meaning and representation of ratio. • Understand and use ratio notation. • Write two-part ratios in their simplest form. Core • Simplify a two-part ratio by converting units. • Share a ratio between two parts. • Be able to scale a ratio up. Higher • Simplify a three-part ratio. • Multiplication and division • Geometric reasoning • Constructing and measuring • Probability • Ratio • Proportionate • Simplify • Share • Divide • Convert Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Write ratios in the form 1:n • Share a ratio between three parts. • Share in a ratio when one part is known. • Write a ratio as a fraction. Key Questions: “If a number was rounded to 12, what’s the biggest/ smallest it could be?” “How can we use estimation to check our answers?” “How can we use number bonds to help with addition that passes in to the next ten?” “Is anything certain/ impossible?” “Give an example of something that has an even chance of occurring” “Why do the circles overlap in a Venn Diagram?” “Give an example of a Venn diagram that wouldn’t have overlapping circles” “Does the ratio £2:£3 mean that £5 must have been shared?” CIAG Architecture, Design, Marketing, Hospitality

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Subject: Year 8 Curriculum Overview 2024-2025 “Let the questions be the curriculum” Socrates Knowledge & Understanding Literacy Skills Literacy Skills and KEY vocab Assessment What is being assessed? Homework/ Independent Learning Composites Components includes understanding of KEY concepts Formal Retrieval if any HT1 Ratio and scale Weeks 1 - 3 Foundation • Understand the meaning and representation of ratio. • Understand and use ratio notation. • Write two-part ratios in their simplest form. • Simplify a two-part ratio by converting units. • Share a ratio between two parts. • Be able to scale a ratio up. Core • Simplify a three-part ratio. • Write ratios in the form 1:n • Share a ratio between three parts. • Share in a ratio when one part is known. • Write a ratio as a fraction. Higher • Apply ratio to real contexts and problems • Express a multiplicative relationship between two quantities as a ratio or a fraction • Solve problems involving ratio and algebra • Combine a set of ratios • Improper fractions to mixed numbers • Probability • Venn Diagrams • Angle facts • Add and subtract fractions Key Vocab: • Ratio • Simplify • Scale • Multiplicative • Combination Skills: • Comparing parts of ratios • Understanding order of the ratio via the question • ‘Hannah gets £18 more, etc’ Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Proportion and multiplicative change Weeks 4 – 6 Foundation • Use the unitary method to express directly proportional relationships • Use recipes • Convert currencies • Best Buys Core • Solve problems using direct proportion • Draw and interpret conversion graphs • Explore similar shapes • Use map scales and scale drawings • Rates of pay Higher • Graphs of direct proportion • Use of multipliers for repeated percentage change? • • Fractions and percentages of amounts • Multiplication and division • Perimeter • Ratio • Probability Key Vocab: • Unitary • Proportion • Recipe • Currency • Value • Conversion • Direct Key skills: • International currencies • Recipes and ingredients Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Multiplying Fractions Week 7 Foundation • Multiply a pair of unit fractions • Multiply a pair of any fractions • Core • Multiply a fraction by an integer • Multiply mixed numbers • Multiply fractions in context Higher • Multiply fractions containing algebra • Ordering numbers • Angle facts • Ratio • Recipes and unitary method Key Vocab: • Fraction • Multiply • Improper • Mixed number • Algebraic Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “Does the ratio £2:£3 mean that £5 must have been shared?” “When we multiply an integer by a fraction, will it get bigger or smaller?”

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“Does £1=$1.29 mean dollars are worth more than pounds? HT2 Dividing Fractions Week 1 Foundation • Divide an integer by a fraction • Divide a pair of fractions Core • Understand and use the reciprocal • Divide fractions and mixed numbers Higher • Divide algebraic fractions • Ratio • Proportion • Probability • Multiplying fractions • Substitution Key vocab: • Divide • Fraction • Improper • Mixed number • algebraic Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Working in the cartesian plane Weeks 2 – 4 Foundation • Work with coordinates in all four quadrants • Identify and draw y=k, x=k, y=x • Plot graphs in the form y=kx and y=x+k • Complete simple tables of values and plot lines on to a graph Core • Identify and draw y=-x • Plot and draw lines from a table of values including those with a negative gradient • Use graphs to show directly proportional relationships • Calculate the gradient from a line • Find the midpoint of a line Higher • Calculate the gradient from 2 points • Explore negative gradients • Use tables of values to plot non-linear graphs • Proportion • Probability • Multiplying fractions • Dividing fractions Key vocab: • Coordinates • Quadrant • Axes • Table • Equation • Gradient • Y-intercept • Midpoint • Negative • Linear • Non-linear • Quadratic • Cubic • Reciprocal Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Recognise the shapes of key non-linear graphs including quadratic, cubic and reciprocal Representing Data Weeks 5 and 6 Foundation • Plot scatter graphs • Draw a line of best fit • Identify correlations and interpret relationships on a scatter graph • Create tally and frequency tables Core • Identify different types of data • Represent grouped and ungrouped data in a table- including continuous data • Identify advantages and disadvantages of grouped/ungrouped data Higher • Find averages from frequency tables • Coordinates • Tables of values • Best Buys • Fractions of amounts • Dividing fractions Key vocab: • Graph • Correlation • Interpret • Frequency • Relationship • Continuous • Discrete • Average Key skills: Interpreting relationships between data Classroom Summative assessment Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Sets and Probability Week 7 Foundation • Construct and interpret two-way tables • Find probabilities from two-way tables • Construct and interpret sample space diagrams Core • Find probabilities from Sample space diagrams • Find probabilities from Venn Diagrams • Listing outcomes • Data • Graphs and coordinates • Ratio Key vocab: • Construct • Probability • Venn • Outcomes Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Product rule for finding total number of outcomes Higher Key Questions: “Why do we multiply by the reciprocal when dividing a fraction?” “Why are x=k lines vertical and y=k lines horizontal?” “When have we used substitution to find values in a different area of algebra? (sequences)” “What is the difference between a fair and biased dice?” “Why do we divide by 2 when listings outcomes for a pair” CIAG Cartography, Banking, chefs, baking, real-estate, statistician, data analyst. HT3 Brackets, binomials, equations and inequalities Weeks 1 – 4 Foundation • Form algebraic expressions • Solve one step equations (use of calculators if possible). • Be aware of like terms and be able to collect simple expressions. • Be able to collect like terms involving negative numbers. • Expand a single set of brackets. • Factorise a simple expression • Solve two step equations in a variety of forms Core • Expand two sets of brackets and simplify the expressions. • Use directed numbers with algebra • Factorise expressions into a single bracket • Solve multi-step equations including the use of brackets • Solve equations with variables on both sides of an equation. • List integers that satisfy an inequality • Add and subtract fractions • Best buys • Multiplying and dividing fractions • Tables of ratios • Probability Key vocab: • Algebraic • Expression • Equation • Inequality • Identity • Formulae • Factorise • Term • Variable • Binomial • Coefficient • Quadratic Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Solve inequalities and represent on a number line • Expand a pair of binomials including an x2 coefficient Higher • Factorise a quadratic expression • Factorise a quadratic with a prime number coefficient • Rearrange simple formulae Indices Weeks 5-6 Foundation • Find squares, cubes and roots • Evaluate expressions involving squares, cubes and roots • Adding and subtracting expressions with indices • Use the laws of indices to multiply and divide numbers written in index notation; • Use calculators for all calculations: positive and negative numbers, brackets, square, cube, powers and roots, and all four operations. Core • Use brackets and the hierarchy of operations with powers inside the brackets, or raising brackets to powers; • Simplify algebraic expressions by multiplying and dividing indices Higher • Powers of powers • Fractional and negative indices • Ratio • Brackets • Solving equations • Solving inequalities • Factorise Key vocab: • Indices • Square root • Cube root • Notation • Negative • Positive • Order of operations • Fractional Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Recall that n0 = 1 and n–1 = 1n for positive integers n as well as, 12n = √n and 13n = 3√n for any positive number n; • Simple change of base Key Questions: “How does finding the highest common factor, help us factorise an expression?” “How do we isolate the variable when solving an equation?” “Why is anything to the power of zero equal to 1?” “Do negative powers lead to negative answers?” HT4 Sequences Week 1 Foundation • Find and describe rules of linear and geometric sequences • Know the difference between linear, quadratic, and geometric sequences. • Find missing terms in sequences Core • Describe and continue sequences including linear, quadratic, and geometric. • Generate linear sequences given a simple algebraic rule • Generate non-linear sequences given a complex algebraic rule • Find the nth term of a linear sequence • Explore Fibonacci sequences. Higher • Find the nth term of a simple quadratic sequence • Expand and factorise • Indices • Solve equations • Ratio • Listing outcomes • Probability Key vocab: • Linear • Geometric • Fibonacci • Quadratic • Sequence • Linear • Arithmetic • Quadratic Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Fractions and percentages Weeks 2 – 4 Foundation • Convert between simple fractions and decimals (tenths, hundredths, quarters, fifths) – use of hundred square, pictorial representations. • Calculate percentages of an amount without a calculator (multiples of 5) • Calculate percentages, decimals and fractions of an amount using a calculator. • Convert a percentage into a multiplier Core • Convert fluently between fractions, percentages and decimals of an amount • Calculate fractions, decimals and percentages of amounts without a calculator • Use multipliers to calculate a percentage of an amount • Use multipliers for percentage increase and decrease • Find a number as a fraction or percentage of another number • Work with percentage change • Tackle percentage problems in context Higher • Repeated percentage change including compound interest • Reverse percentages • Complex percentage problems • Sequences • Tables of values • Data • Solving equations • Indices • Probability Key vocab: • Fractions • Percentages • Decimals • Multiplier • Increase • Decrease • Interest • Tax • Profit Key skills: % of an amount (not off) Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Standard Form Weeks 5 -6 Foundation • Work with powers of 10 • Convert large numbers into standard form • Convert standard form into ordinary numbers (positive indices) Core • Investigate positive and negative powers of 10 • Convert large & small numbers into standard form • Convert standard form into ordinary numbers • Non-calculator arithmetic with standard form (multiply, divide, add, subtract) • Standard form problems using a calculator (e.g. population, space, cells) • Fractions • Percentages • Sequences • Indices • Expanding and factorising • Ratio Key vocab: • Powers • Standard form • Negative • Decimals • Indices Exam Week Summative assessment Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “What is true about linear sequences?” “Why does an nth term help us to generate numbers in a sequence?” “When is Standard Form used in real life?” CIAG Economist, algorithm engineer, architect, computer scientist, actuary, financial analyst, astronomer, biologist. HT5 Angles Weeks 1 – 3 Foundation • Measure and draw angles • Basic angle facts and reasoning • Angles in triangles • Angles in quadrilaterals • Angles in parallel lines (single step problems) • Fractions • Percentages • Indices • Standard form/ powers • Ratio • Sequences • Solving equations • Proportion Key vocab: • Angles • Quadrilateral • Polygons • Parallel • Interior • Exterior • Construction • Bisector • Perpendicular Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Sparx homework for all pupils set and due in on Wednesdays.

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Core • Investigate angles in parallel lines • Angles in parallel lines (including multistep problems) • Complex angle problems • Investigate angles in polygons • Sum of interior angles in polygons • Exterior angles in polygons Higher • Constructions triangles and special quadrilaterals • Prove simple geometric facts • Construct an angle bisector • Construct a perpendicular bisector Recorded in Sims tracking spreadsheet. Area and Circles Weeks 4 – 6 Foundation • Area of a square and rectangle • Area of a triangle • Area of a parallelogram • Are of simple compound shapes • Circle parts • Area of a circle Core • Area of a trapezium • Area of compound shapes • Area of a rectilinear shape • Investigate area of a circle • Area of parts of a circle • Area problems • Circumference of a circle • Angles • Standard form • Fractions • Percentages • Sequences Key vocab: • Area • Triangle • Rectangle • Parallelogram • Trapezium • Rectilinear • Compound • Circle • Area • Circumference • Diameter • Sector • Angle • Perimeter Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Higher • Area of a sector • Perimeter of a sector • Complex area problems in context Key Questions: “What do you notice about the sum of angles when a polygon increases in number sides by 1?” “Why do we halve the (base x height) when finding the area of a triangle?” “What is π, why is it 3.141…..?” HT6 Symmetry Week 1 Foundation Core Higher • Area • Solving equations • Angles • Standard form • Indices • Expanding/ factorising Key vocab: • Symmetrical • Reflection • Lines of symmetry • Rotational symmetry • Mirror line Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Data Handling Weeks 2 – 4 Foundation • Set up a statistical survey • Questionnaires • Pictograms • Bar Charts • Vertical Line Graphs • Composite/ multiple bar charts • Draw and interpret simple pie charts • Find the range of a set of data • Percentages • Averages • Measuring and drawing angles • Equations and inequalities • Area • Ratio Key vocab: • Statistics • Questionnaire • Criticise • Pictograms • Graph • Continuous • Discrete • Quantitative • Qualitative • Pie chart • Angle • Composite Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Sparx homework for all pupils set and due in on Wednesdays.

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Core • Draw and interpret pie charts • Draw and interpret line graphs (inc time series) • Represent and interpret grouped data • Misleading graphs • Range Key skills: Interpreting graphs Types of data Recorded in Sims tracking spreadsheet. Averages Weeks 5 – 6 Foundation • Understand and use mean, median and mode from a list Core • Choose the most appropriate average • Mean from an ungrouped table • Estimate for the mean Higher • Compare data using averages and the range • Data • Sequences • Indices • Fractions • Percentages • Ratio • Solving • Range • Area Key vocab: • Mean • Median • Mode • Average • Outlier • Appropriate Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “How do we choose the best average to use when analysing data?” “Why can we only estimate the mean when working with grouped data?” “Why is it useful to put lists of data into a frequency table?” CIAG Construction worker, CAD engineer, interior designer, cartographer, plumber, animator, business analyst, bioengineer, geneticist.

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Subject: Maths Year 9 Curriculum Overview 2024-2025 “Let the questions be the curriculum” Socrates Knowledge & Understanding Literacy Skills Literacy Skills and KEY vocab Assessment What is being assessed? Homework/ Independent Learning Composites Components includes understanding of KEY concepts Formal Retrieval if any HT1 Forming and solving equations Week 1-4 Foundation • Solve one and two-step equations • Solve one and two-step inequalities • Represent an inequality on a number line • Substitute into simple formulae • Form linear expressions using angles and perimeter • Solve simple simultaneous equations with positive equations where y-values are already the same Core • Solve equations with unknowns on both sides • Solve inequalities with unknowns on both sides • Substitute into more complex formulae • Rearrange one and two-step formulae • Form and solve linear equations using angles and perimeter • Factorise quadratic expressions • Solve simultaneous equations Higher • Rearrange more complex formulae • Form and solve quadratic equations using area • Factorise and solve quadratic equations • Basic angle facts • Area of 2D shapes • Factorising • Sharing ratio • Equation • Inequality • Inverse • Solve • Substitute • Unknowns • Rearrange • Form • Factorise • Quadratic • Linear • Formula Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Factorise quadratic expressions with a coefficient Linear and quadratic graphs Week 5-7 Foundation • Plot coordinates on an axis • Be able to draw lines y=a, x=b, y=x on an axis • Understand parallel and perpendicular lines • Use a table of values to plot a linear graph Core • Understand gradients and intercepts to find the equation of a straight line • Know that parallel lines have the same gradient. • Find the equation of a line from a graph • Understand what gradients and intercepts represent in real-life graphs • Find the equation of a line given a gradient and a coordinate point Higher • Rearrange the equation of a straight line • Find the equation of a parallel line given a point. • Explore equations of perpendicular lines • Use a table of values to plot quadratic graphs • Know the shape of and be able to sketch a quadratic graph identifying its roots and turning point. • Substitution • Expanding brackets • Direct proportion problems • Proportion graphs • Axis • Axes • Coordinate • Parallel • Perpendicular • Gradient • Intercept • Equation • Quadratic • Roots • Turning point Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “What do we do when there are unknowns on both sides of an equation?” “Why does the solution to an inequality have to include the symbol?” “How does a quadratic expression differ to a linear expression?” “What is the difference between an expression and an equation?” “What are the features of the equation of a straight line?” “If we know the gradient of a line, can we find its y-intercept?”

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HT2 Pythagoras Week 1 Foundation • Understand that the Pythagoras theorem uses the area of squares. • Find the hypotenuse of right-angled triangles • Find the short side of right-angled triangles Core • Use Pythagoras to find the diagonal length of a rectangle • Find the perimeter of triangles with a missing length • Find the area of equilateral triangles • Find the length of a line given two coordinates Higher • Use Pythagoras on a coordinate axis • Use Pythagoras to create expressions for lengths of triangles • Even, odd, prime, Square, cube numbers • Perimeter • Gradient • Area • Hypotenuse • Root • Triangle • Square Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. 3D shapes Week 2-4 Foundation • Know the names of 2D and 3D shapes • Recognise prisms • Know what faces, edges and vertices are • Draw accurate nets of cubes and cuboids • Find the surface area of cubes and cuboids • Calculate the volume of cubes and cuboids Core • Sketch and recognise the nets of other 3D shapes i.e. prisms, cylinders, cones and pyramids • Plans and elevations • Area of 2D shapes • Scatter graphs • Averages and the range • Circle • Triangle • Quadrilateral • Square • Rectangle • Parallelogram • Rhombus • Trapezium • Kite • Cube • Cuboid • Prism • Cylinder • Cone • Pyramid • Sphere • Faces Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Find the surface area of triangular prisms and other prisms • Surface area of a cylinder • Calculate the volume of prisms • Calculate the volume of cylinders Higher • Calculate the volume of spheres, cones and pyramids • Find the length of a shape given its volume • Use Pythagoras to calculate missing lengths to find volumes and surfaces areas • Edges • Vertices • Net • Area • Volume • Plan view • Elevation Constructions and congruency Week 5-6 Foundation • Draw and measure angles Core • Draw the locus distance from a point (circles) • Draw the locus distance around a straight line • Draw the locus equidistant from two points • Construct a perpendicular bisector • Construct an angle bisector • Identify and explore congruent triangles • Venn diagrams • Two-way tables • Simplifying ratio • • Protractor • Angle • #Acute • Obtuse • Reflex • Right-angle • Straight line • Loci • Locus • Equidistant • Perpendicular • Bisect • Congruent Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Key Questions: “Which length of a right-angled triangle is the hypotenuse?” “What is a prism?” “Is a cylinder a prism?” “What is the link between the volume of a cylinder and the volume of a cone?” CIAG Technicians, Researchers, Mechanics, Engineers, Architecture HT3 Numbers Week 1-3 Foundation • Know the first 15 square numbers • Solve linear equations • Square • Root • Estimate Formative assessment will be taking place Sparx homework for all pupils set

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(including exam week) • Recognise square roots • Estimate roots i.e √10 • Use the four operations with directed numbers • Find the highest common factor of two numbers • Find the lowest common multiple of two numbers • Use the four operations with fractions • Convert between ordinary form and standard form Core • Understand surds • Simplify surds • Four operations with surds Higher • Expand single and double brackets with surds • Calculate perimeters, areas and volumes using surds • Simple geometric sequences with surds • Collect like terms • Inequalities • Factorising • Surd • Expand • Simplify • Geometric in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. and due in on Wednesdays. Percentages and money Week 4-6 Foundation • Convert between fractions, decimals and percentages • Find a percentage of an amount • Increase by a percentage • Decrease by a percentage • Calculate percentage change • Convert between currencies Core • Calculate reverse percentage • Rules of indices • Rearranging formulae • Fraction • Decimal • Percentage • Increase • Decrease • Convert • Original • Interest • Simple • Compound • Inverse Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Solve problems using percentages – with and without a calculator • Calculate simple interest • Calculate compound interest • Solve currency problems Higher • Solve problems with repeat percentage change • Find the interest rate and years of investment with compound interest • Solve problems involving fractions, decimals, percentages and ratio Key Questions: “Can you show by simplifying a surd that √ = 6?” “If you increase a number by 10% and decrease it by 10% do you get the original number?” “What is the difference between simple and compound interest?” HT4 Fractions Week 1-2 Foundation • Add and subtract unit fractions • Add and subtract any given fractions • Multiply fractions • Divide fractions • Find a fraction of an amount Core • Apply the four operations to mixed numbers • Calculate area and perimeter with fractions and mixed numbers Higher • Simplify algebraic fractions by factorising expressions • Apply the four operations to algebraic fractions • Linear sequences • Forming expressions/equations • Sharing ratio • Fraction • Addition • Subtraction • Multiplication • Division • Reciprocal • Area • Perimeter • Factorise • Quadratic Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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Transformations Week 3-5 Foundation • Translate a shape on a grid • Understand column vectors • Translate a shape using column vectors • Identify order of rotational symmetry • Rotate a shape about a point • Reflect a shape in a horizontal and vertical mirror line • Enlarge a shape by a positive scale factor Core • Describe a translation • Describe a rotation • Reflect a shape in a diagonal mirror line • Reflect a shape when the equation of a line is given • Describe a reflection • Enlarge a shape using a centre of enlargement • Enlarge a shape using a fractional scale factor • Describe an enlargement Higher • Combine two or more transformations on a single axis. • Discuss invariant points • Enlarge a shape using a negative scale factor • Conversions between FDPs • Area • Volume • Surface area • Translation • Column vector • Axes • Rotation • Symmetry • Clockwise • Anticlockwise • Centre • Reflection • Mirror line • Enlargement • Scale factor • Positive • Fractional • Negative • Invariant Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Similar shapes Week 6 Foundation • Find the scale factor of two similar shapes • Know that angles in similar shapes are the same • Convert numbers in standard form • Calculations with • Scale factor • Enlarge Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays.

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Core • Use scale factors to find missing lengths Higher • Solve problems with similar triangles • Explore scale factors for area and volume standard form • Pythagoras End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Key Questions: “What is perimeter?” “What is area?” “What does reciprocal mean?” “What do the numbers in a column vector mean?” “What does invariant mean?” “How could we prove that two shapes are similar?” CIAG Banking, Retail, Sales, I.T., Construction HT5 Trigonometry Week 1-2 Foundation • Know the names of the sides in a right-angled triangle • Be able to correctly label a right-angled triangle • Calculate missing lengths of a right-angled triangle Core • Calculate missing angles in a right-angled triangle Higher • Use trigonometry to calculate perimeters and areas of triangles with missing lengths. • Introduce 3D trigonometry with cubes and cuboids – link with Pythagoras for multi-step problems. • Surds • Expanding brackets • Factorising • Triangle • Hypotenuse • Opposite • Adjacent • Sine • Cosine • Tangent • Function • Inverse Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays. Rates Foundation • Direct proportion • Speed • Distance Formative assessment will Sparx homework for all pupils set

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Week 3-4 • Calculate speed, distance and time using proportion with simple numbers i.e. 30 mins • Investigate distance-time graphs to interpret its information Core • Calculate speed, distance and time using proportion with more challenging numbers i.e. 20 mins • Calculate density, mass and volume using proportion • Convert compound units i.e. m/s into kmph • Calculate speed from distance-time graphs; make a comparison to the gradient Higher • Investigate velocity-time graphs • Calculate the area under a curve which represents total distance • Calculate the acceleration by drawing a tangent to the graph and finding its gradient • Ratio • Area • Time • Ratio • Proportion • Hours • Minutes • Seconds • Miles • Kilometres • Metres • Compound • Density • Mass • Volume • Kilograms • Grams • Gradient • Velocity • Area • Acceleration • Tangent be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. and due in on Wednesdays. Probability Week 5-6 Foundation • Find the probability of a single event i.e. counters from a bag • Calculate the relative frequency of an event • Complete a sample space and calculate probabilities that a given event will occur • Find probabilities from two-way tables and frequency trees Core • Estimate the number of times an event will occur given its probability • Find probabilities from Venn diagrams • Convert FDPs • Multiply fractions • Multiply decimals • Probability • Fraction • Decimal • Frequency • Estimate • Venn diagram • Tree diagram • Independent • Dependent • Set notation Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. End of block assessment. Score out of 20. Recorded in Sims tracking spreadsheet. Sparx homework for all pupils set and due in on Wednesdays.

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• Create tree diagrams for independent events and calculate probabilities Higher • Create tree diagrams for dependent events and calculate probabilities • Explore set notation and calculate probabilities from a range Venn diagrams Key Questions: “What is the sum of all probabilities?” “Describe the ratio between the hypotenuse and the adjacent.” “How do we decide whether we need to use trigonometry or Pythagoras when working with triangles?” “What does 20mph mean?” “Density is a compound unit, which two units could it comprise of?” “Describe the set notation of Venn diagrams.” HT6 Proportion Week 1-2 Foundation • Use ratio to calculate direct proportion problems • Calculate the best buy from a given scenario • Use proportion to calculate recipe problems • Share a ratio with a given amount • Solve ratio problems where one part is known Core • Solve problems involving inverse proportion Higher • Solve problems involving ratio and algebra • Introduce solving direct proportion with algebra by finding the constant ‘k’ • Solve inverse proportion with algebra by finding the constant ‘k’ • Percentages: of an amount, increase, decrease, change. • Similar shapes • Ratio • Direct proportion • Share • Inverse proportion • Constant Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays. Geometrical thinking Foundation • Basic angle facts • Parallel • Alternate • Corresponding Formative assessment will be taking place Sparx homework for all pupils set

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Week 3-4 • Know and be able to identify the three angle rules with parallel lines • Recall angle facts for triangles and quadrilaterals Core • Solve multi-step problems with angles in parallel lines • Calculate missing angles in triangles and quadrilaterals • Form and solve equations in angle problems • Use ratio to solve angle problems Higher • Derive the Sine rule • Find missing lengths and angles using the sine rule • Derive the Cosine rule • Find missing lengths and angles using the cosine rule • Use trigonometry to find the area of any given triangle • Complete problem-solving questions which combine all aspects of trigonometry • Trigonometry • Transformations • Co-interior • Triangle • Equilateral • Isosceles • Scalene • Quadrilateral • Form • Solve • Equation • Sine • Cosine • Area in all classrooms using MWBs to check for pupil understanding. and due in on Wednesdays. Algebra unit Week 5-6 Foundation • Solve linear equations • Expand two brackets and simplify • Expand a pair of binomials • Factorise into a single bracket • Substitution Core • Expand triple brackets • Factorise quadratic expressions, including the difference of two squares • Directed numbers • Fractions • Percentages • Ratio • Solve • Equation • Expand • Brackets • Factorise • Substitute • Quadratic • Expression Formative assessment will be taking place in all classrooms using MWBs to check for pupil understanding. Sparx homework for all pupils set and due in on Wednesdays.

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• Solve quadratic equations • Factorise quadratic expressions with a coefficient Higher • Find lengths of rectangles when the lengths are expressions, and the area is given. • Form and solve quadratic equations by equating the area of two shapes • Use trigonometric functions to form and solve quadratic equations Key Questions: “If it takes one people 10 minutes to tidy a classroom, would it take one person more of less time to tidy the same classroom?” “What does the constant ‘k’ represent in proportion calculations?” “When factorising a quadratic expression, how do we spot it is the difference of two squares?” CIAG Construction, Chef, Hairdresser, Scientist, Engineer