Y10 Foundation SOW Term 1

Transcription

1 Y10 Fundatin SOW Term 1 Algebra Fcus Students shuld be cmpletely familiar with all the rules f algebra Plt straight line graphs f functins by setting up a table f x and y pints as crdinate pairs (by use f functin machines) Numeracy Fcus Add, subtract, multiply, divide with negative numbers Bidmas Estimating answers t calculatins Ntes Fundatin students shuld cnstantly be reminded f the rules f algebra and the benefit f using functin machines as a means f understanding the rder f peratins and reverse them t slve fr unknwns nfidence and accuracy in wrking with negative numbers and als using the crrect rder f peratins will be essential fr all aspects f the SOW, especially Algebra tpics. Stress the imprtance and value f being able t estimate answers estimatins allw students t have cnfidence in their actual answers and instantly recgnise whether an answer is likely t be crrect r nt. Students shuld be able t estimate angles t and use this in checking answers. Tpic Learning Objectives Grade Number: Place value Understand place value and rder numbers, representing them as psitins n a number line (include negative numbers) F F Number: Number peratins Add, subtract, multiply and divide with psitive and negative numbers E Knw the crrect rder f peratins (BIMAS) E Number: Apprximatin & calculatin Rund numbers t a given place value psitin, decimal place r significant figure Use apprximatins t ne significant figure t make estimates t calculatins Use calculatrs effectively & efficiently / /

2 Tpic Algebra: Arithmetic sequences Algebra: Linear graphs Angle prperties Angles f plygns Learning Objectives Generate a sequence frm number and diagram patterns Generate a sequence frm a term-t-term rule and a nth term rule Find and use the nth term f an arithmetic sequence Identify which terms cannt be in a given sequence Find utputs fr inputs using functin machines E Understand inputs & utputs f a functin as crdinate pairs Use axes and crdinates t describe the psitin f a pint in fur quadrants Plt and draw crdinates and graphs f functins f y in terms f x Understand a linear sequence represents a straight line and can crrespnd t a functin f y in terms f x in the frm y = mx + c Understand the frm y = mx + c and the meaning f m and c Explre the gradients and equatins f parallel lines Recgnise equatins f hrizntal/vertical graphs Estimate and accurately draw angles G Identify acute, btuse, reflex and right angles E Recall and use prperties f angles at a pint, n a straight line, intersecting lines E Understand and use the angle prperties f parallel lines crrespnding & alternate angles / Give reasns fr angle calculatins Knw the angle prperties f all types f triangles & quadrilaterals / alculate and use the interir/exterir angles f (regular) plygns t slve prblems Bearings Understand and use bearings E/ nstruct scale drawings invlving bearings ngruence Understand cngruence and identify cngruent shapes /

3 Year 10 Fundatin SOW Term 2 Numeracy Fcus Fractins Using index laws: Teach alngside index laws in algebra calculating in standard frm Algebra Fcus Expanding and simplifying linear & quadratic expressins Link t area & perimeter f shapes (withut slving) Link t index laws Investigatins and Prblem Slving Pythagras Prfs Ntes nfidence and accuracy in wrking with negative numbers and als using the crrect rder f peratins will be essential fr all aspects f the SOW, especially Algebra tpics. nverting between fractins, decimals and percentage will be included in SOW Term 4 Tpic Learning Objectives Grade Resurces Algebra & number: Understand and use pwer and index ntatin Index Laws Use a calculatr t wrk ut pwers f a number Use index laws t simplify algebraic expressins r number calculatins in index frm /B Bing n shared drive suitable fr start r Understand yu can nly use the index laws with pwers f the same base /B end Include: Any number r variable t the pwer f 0 is 1 Any number r variable t the pwer f 1 is the number r variable itself

4 Tpic Learning Objectives Grade Algebra: Understand rules f algebra t write & manipulate algebraic expressins Expressins Simplify algebraic expressins by cllecting like terms Link t perimeter f shapes Expand single & duble brackets. Include: 3(x + 2) 4(2x 5) /B Links t area f shapes Factrise int single brackets Number: Fractins Number: Multiples/ Factrs Number: Prime Factrs iscuss the imprtance f leaving answers t calculatins as fractins as these are exact answers Simplify & find equivalent fractins Ordering fractins nvert between imprper and mixed fractins Add & subtract fractins Multiply and divide fractins alculate a fractin f a quantity Use a calculatr t wrk ut fractin calculatins Identify factrs f a whle number List factrs by cnsidering the prduct f pairs f factrs Understand that a prime number nly has tw factrs List multiples by cnsidering the times table f whle numbers Find the HF and LM f tw numbers Identify factrs, multiples and prime numbers Find the prime factr decmpsitin f psitive integers Write a number as the prduct f its prime factrs Find the HF and LM f tw r three numbers (by use f venn diagram) / / / E E E E Pythagras Rund answers accurately t degree required Understand, recall and use Pythagras Therem Find the lngest missing side, hyptenuse, f a right-angled triangle Rearrange the frmula t find the length f a shrter side f a right-angled triangle.

5 Year 10 Fundatin SOW Term 3 Numeracy Fcus ecimals Accurate runding skills (required fr Pythagras) Students lack cnfidence when calculating with decimals. Suggest remving decimal when calculating, then replace in answer at the end (eg using estimatin) Mst bjectives can be met thrugh starters Algebra Fcus Slving all types f equatins Link t linear equatins learnt in term 1 Use functin machines t aid the rder and visualise the inverse functins. Link t area & perimeter f shapes, setting up equatins and slving. Investigating and Prblem Slving Investigate which regular plygns tessellate and why. Stencils maybe available t supprt task. See Lisa. Ntes nfidence and accuracy in wrking with negative numbers and als using the crrect rder f peratins will be essential fr all aspects f the SOW, especially Algebra tpics. nverting between decimals and fractins r percentage will be included in SOW Term 4 Algebra wrk much f the skills fr slving equatins have been learnt previusly (term1 - linear equatins) cnsider this when planning and creating yur verview, particularly time needing t be spent n these learning bjectives. Transfrmatins prvide students with prepared grids t save student time Tpic Learning Objectives Grade Number: Estimate calculatins invlving decimals t ensure decimal pint is crrectly psitined in the answer E ecimals Use written methds t calculate with decimals Ensure students preferred methd is accurate & encurage new/imprved methds where issues arise E/ Multiply/divide by a number between 0 and 1. Be able t use ne calculatin t find an answer t anther Eg 322 x 48 = Using this find 3.22 x 4.8 r

6 Number: Squares, cubes and rts Recgnise and use squares and cubes and crrespnding rts Use the square and cube functins n a calculatr Understand and use index ntatin fr squares and cubes E

7 Algebra: Slving Linear Equatins Understand an equatin has an equal sign. A linear equatin may be slved by ding the same (inverse) peratin t bth sides refer t inverse functins and functin machines if required Include slutins that may be negative r fractinal Slve linear equatins with unknwns n bth sides, expanding brackets and simplifying terms, if applicable, first. Be able t create a linear equatin frm wrding r shape and slve t find a slutin t the prblem Eg perimeter f a shape, angles in a plygn E// /B /B/A B/A Algebra: Slving nn-linear equatins Algebra: Inequalities Slve equatins using trial & imprvement Be able t list integers that satisfy an inequality Slve linear inequalities by treating them like a linear equatin Knw that by multiplying r dividing by a negative the inequality sign is reversed. Be able t represent slutins n a number line Slve inequalities that have been cmbined Eg y 3y + 2 < 8 + 2y B B

8 Tpic Learning Objectives Grade Resurces Recgnise reflectin symmetry and rtatinal symmetry f 2 shapes Symmetry & Understand a tessellatin is a tiling pattern with n gaps r verlaps Tessellatin Investigate whether regular plygns tessellate Transfrmatins Recgnise and visualise lines f symmetry, reflectins, rtatins and translatins escribe and transfrm 2 shapes using reflectins, rtatins and translatins Understand and use vectr ntatin fr translatins escribe and transfrm cmbinatins f transfrmatins escribe and transfrm 2 shapes using enlargements, including psitive and simple fractinal scale factrs (negative = higher) / See resurce flder hs/echalk/enlargement/tea chingtl/enlargementt l.html Pythagras Rund answers accurately t degree required Understand, recall and use Pythagras Therem Find the lngest missing side, hyptenuse, f a right-angled triangle Rearrange the frmula t find the length f a shrter side f a right-angled triangle.

9 Year 10 Fundatin SOW Term 4 Numeracy Fcus Ensure students are equally able t use calculatr methds fr all number wrk and are nt cmpletely dependent n mental methds, particularly fr: percentage f quantity prprtin ne amunt as a prprtin f anther cnverting between FP Algebra Fcus Refer t algebra skills at all times, especially fr frmulae Eg students knw that 2a = 2 x a. This als applies t a frmula, eg ½ ct = ½ x cst(c) x time (t) Investigating and prblem slving Prblem slving pprtunities within the shape tpics & als deriving frmulae. I hpe t find resurces t meet these bjectives. Ntes Use sme f the learning bjectives as starters, especially where they link t ther LO s. Encurage cnfidence and accuracy in wrking with negative numbers and als using the crrect rder f peratins which is essential fr all aspects f the SOW, especially substitutin int frmulae. Speed (& density) : Avid use f frmula triangles and encurage students t rearrange the frmulas in rder t change the subject as required. Tpic Learning Objectives Grade Resurces Number: FP Recgnise the equivalence f fractins, decimals and percentages nvert between fractins, decimals and percentages by cnsidering its equivalence ut f 100 Remind students t always simplify fractins where pssible Order fractins, decimals and percentages by cnverting them int equivalences

10 Number: Rati & Prprtin nvert a fractin (where equivalent fractin ut f 100 isn t pssible) int a decimal by dividing the numeratr by a denminatr ((shrt divisin higher GSE) r calculatr methd). Include fractins which becme recurring decimals. Recgnise a recurring decimal and the digits which are repeating Understand & use rati ntatin Express rati in its simplest frm, include 3 part ratis ivide a quantity in a given rati nvert between rati & prprtin (fractin, decimal & %) Understand rati cmpares ne part relative t ne r mre ther parts where tgether they make a whle Understand prprtin cmpares ne part relative t the whle as a fractin, decimal r % Slve prblems invlving rati & prprtin / / /B

11 Number : Percentage alculate a percentage f a quantity Teach nn-calculatr & calculatr methd alculate new amunts frm a percentage increase r decrease Higher Extensin alculate cmpund interest & depreciatin Be able t cmpare cmpund interest t a simple interest prblem Use reverse percentage methds t calculate riginal amunt befre a percentage increase/decrease E// /B B A Number/Algebra/ Measure cnversin Algebra: Frmulae - Substitutin and rearranging nvert between ways f measuring time Eg 0.75hrs = 45 minutes r 135 minutes = 2 ¼ hurs etc nvert between metric measures fr length Extend t cnverting between area and vlume if pssible Be able t interpret & use crss-curricular frmulae Understand frmulae describe a relatinship between tw r mre variables and are similar t an algebraic equatin Understand numbers can be substituted int frmulae just like an equatin t wrk ut the value f an unknwn. Use bidmas, negative number and calculatr skills efficiently when substituting int a frmula t calculate the value f an unknwn. Understand -4 2 = -16 but (-4) 2 = 16 (particularly n a calculatr) Be able t derive and use a frmula given infrmatin, using algebraic skills Eg Perimeter/area f a shape r Salary based n pay & hurs wrked etc Rearrange a frmula t make a different variable the subject Understand the subject f a frmula t be the variable n its wn befre the equals sign. Understand rearrange a frmula changes the rder f the frmula t make a different variable the frmula. E/ / B/A /B

12 Use inverse peratins in reverse rder t rearrange a frmula

13 Y10 Fundatin SOW Term 5 Numeracy Fcus Algebra Fcus Efficient calculatr use required fr all parts f this SOW. Refer t all algebra skills t begin revising fr end f year test. Students shuld cnsider bidmas rules when substituting int shape frmulae and functins fr pltting graphs. ntinue t encurage estimating fr calculatins and accurate runding skills. Prblem slving * Prblem slving questins will be available n shared drive. Please use in lessns frm time t time t ensure familiarity with this style f questin fr end f year exams. Ntes Use autgraph t demnstrate graphs, transfrmatins f graphs, simultaneus equatins etc Tpic Learning Objectives Grade Resurces Algebra: Graph sketching Recgnise, draw (using substitutin) and sketch the graphs f: linear functins. Revisit y = mx + c fr linear functins Use autgraph Algebra: Real-life graphs nstructin & Lci raw & interpret distance time graphs raw & interpret graphs mdelling real-life situatins Use a ruler and cmpass draw standard cnstructins nstruct a perpendicular line nstruct the perpendicular bisectr f a line Bisect an angle nstruct triangles Understand that a lcus is a path traced arund a mving pint Arund ne pint the lcus is a circle Between tw pints the lcus is the perpendicular bisectr The lcus f a fixed line is a parallel line Between tw lines the lcus is the angle bisectr Slve wrded/real-lfe prblems using diagrams and lci / B Nets, Plans & Elevatins Analyse 3 shapes thrugh 2 prjectins and crss-sectins Understand a prism has the same crss-sectinal area thrughut its length

14 Understand a plan f a slid is the view frm directly abve (bird s eye view) Understand an elevatin is the view frm the frnt r the side f the slid Be able t draw slids n ismetric paper Be able t unfld the sides f a slid t create its net t scale Find the surface area f simple 3 shapes using nets t help visualise individual surfaces and their dimensins

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