Key Stage 4 Mathematics  Independent Learning Activities
Click on the links below to access the approximate schemes of learning and the associates Mathswatchvle.com clip numbers.
Year 10To access the ILAs for Mathematics, login to www.mathswatchvle.com.
School ID: shenfield Login: School Login Number Password: watch Then you can search for the Clip Numbers in the search box. 
Year 11To access the ILAs for Mathematics, login to www.mathswatchvle.com.
School ID: shenfield Login: School Login Number Password: watch Then you can search for the Clip Numbers in the search box. 
Calculations
To identify the correct operations required and use written calculations to solve worded problems (Clip #60) To calculate with all four operations of arithmetic using positive and negative numbers (Clip #99a and Clip #99b) To apply the hierarchy of operations to accurately work out calculations involving two or more operations, with and without calculators (Clip #17, Clip #18 and Clip #59) To identify and write the inverses for operations and apply these to check the results of calculations and develop the skills required to solve equations (Clip #63) Shapes and solids To know the names and features of common polygons (Clip #36 and Clip #69) To know how to describe and label common features (parallel and perpendicular lines, etc.) of plane figures (Clip #67) To identify and describe line and rotational symmetry in plane figures (Clip #83 and Clip #75) To know and use properties of triangles, including their interior angle sum (Clip #68) To know and use properties of quadrilaterals, including their interior angle sum (Clip #70) To know and use properties of threedimensional solids (polyhedra) (Clip #37) 2D representations of 3D shapes To apply what you already know about the properties of 3D objects To be able to recognise a 3D object from its net and viceversa (Clip #82) To work with 2D representations of 3D objects (Clip #81) To construct and interpret plans and elevations of 3D objects (Clip #81) Properties of whole numbers To recall and understand key definitions To consolidate understanding of basic place value (Clip #15 and Clip #97) To apply knowledge of factors and primes to express a number as a product of its prime factors (Clip #44 and Clip #95) To simplify a collection of numbers that have been multiplied together by writing them in index form (Clip #111) To use the ‘listing method’ to find the highest common factor and lowest common multiple of a set of numbers (Clip #96) To use prime factor trees to find the highest common factor and lowest common multiple of a set of numbers (Clip #95) Rounding, estimation and accuracy To round to the nearest positive integer power of ten and apply this to some reallife examples (Clip #3 and Clip #14) To round values to a specified number of decimal places (Clip #20) To round values to a specified number of significant figures (Clip #101a) To truncate values and understand when this is useful to apply in context (Clip #14) To apply the ability to round to one significant figure in order to estimate answers to more complex calculations without using a calculator (Clip #101b) To use inequalities and identify the lower and upper bounds for measurements and use these within calculations to find maximum and minimum solutions (Clip #125) To calculate the upper and lower bounds of a calculation (for discrete and continuous quantities) (Clip #160) Introduction to algebra To interpret and work with algebraic notation including an understanding of correct, formal language and notation (Clip #102a) To form algebraic expressions from worded instructions and geometric problems (Clip #106) To simplify products and quotients and apply the index laws to simplify (Clip #45 and Clip #46) To simplify algebraic expressions by collecting like terms (Clip #102a) To simplify products and quotients (Clip #102b and Clip #102c) To expand the product of a single term and binomial (Clip #103a, Clip #103b) To factorise out common factors and recognise that the HCF must be factored out for an expression to be fully factorised (Clip #104) To form expressions from word problems and use algebra to solve problems in different contexts including number problems (Clip #105a and Clip #105b) Fractions To apply knowledge of factors and multiples to simplify fractions and identify equivalent fractions and mixed numbers (Clip #47 and Clip #48) To apply and explain an algorithm to find the median fraction (Clip #49) To apply the four operations to fractions (Clip #56 and Clip #57) To apply knowledge of the four operations to solving problems involving fractions and mixed numbers (Clip #139) To calculate fractions of amounts (Clip #8 and Clip #55) To express one number as a fraction of another Decimals To apply knowledge of place value to convert between decimals and fractions and order fractions and decimals (Clip #58) To add, subtract, multiply and divide decimals (Clip #11, Clip #19 and Clip #100) To use a calculator to complete more complicated calculations that involve decimals (Clip #50 and Clip #64) To convert recurring decimals to fractions (Clip #98) Percentages To convert between fractions, decimals and percentages (Clip #10) To use fractions, multipliers or calculators to work out percentages of amounts (Clip #51 and Clip #52) To express a quantity as a percentage of another (Clip #53 and Clip #54) To calculate percentage increase or decrease (Clip #92, Clip #93 and Clip #136) To calculate the original amount given the value after an increase or decrease (Clip #138) Powers and roots To write a series of numbers multiplied together in index form (Clip #111) To write an exponent on a calculator (Clip #26) To understand zero and negative indices (Clip #156) To apply the laws of indices for multiplying and dividing, and for powers of indices (Clip #111) To work with fractional indices and understand the link to surds (Clip #156 and Clip #157) To calculate roots of a number (Clip #46) To solve problems involving powers and roots (Clip #158) Mensuration To convert metric units for capacity, mass and length (Clip #35) To convert metric units for area and volume (Clip #124) To understand units of time are not metric (Clip #25) To convert units of time and solve related problems (Clip #24) To convert currencies using scale factors (Clip #64) To convert compound measurements (Clip #126) To use formulae for compound units: speed = distance/time, density = mass/volume, pressure = force/area, and to find any one of the variables given values for the other two (Clip #126) To read and use scales on maps including both line/bar scales and ratio scales (Clip #4, Clip #88 and Clip #117) To form scales to construct scale drawings to fit a given dimension (Clip #80 and Clip #130) To read and use bearings in scale drawings (Clip #131) To understand the connection between a bearing of B from A and A from B on a given line segment (Clip #131) Perimeter To calculate the perimeter of a given simple shape, including the use of properties of triangles, quadrilaterals and regular polygons (Clip #33) To understand that the perimeter of a shape is its boundary and what a boundary is for a composite shape where a smaller shape has been removed from the centre of a larger shape (Clip #33) To calculate the perimeter of composite shapes (Clip #33) To form expressions and equations for the perimeter of a given shape and solve these equations to find unknown lengths (Clip #105 and Clip #106) To know and use a formula (either C = πD or C = 2πr) for the circumference of a circle to find the value of one variable given any other, e.g. D given C (Clip #72) To know how find the arc length of a given sector and hence the perimeter of this shape (Clip #72) To use known perimeter formulae from sections 1 and 2 to solve contextual problems (Clip #72) Area To know and use the formulae for calculating the area of rectangles, triangles, parallelograms and trapeziums (Clip #73a and Clip #73b) To form algebraic expressions for the area of a shape given expressions for lengths of the shape To know and use the formula for calculating the area of a circle (Clip #106 and Clip #71) To adapt this formula to find the area of a sector given the angle formed at the centre between the radii using fractions of the whole (Clip #71 and Clip #107) To split composite shapes into the sum of known shapes from sections 1 and 2 (Clip #73c and Clip #73d) To recognise that the area of some composite shapes can be found by subtracting known areas from a larger shape Further algebra To know what a quadratic expression is To be able to expand the product of two binomials (Clip #103b) To be able to factorise expressions of the form x^2 + bx + c (Clip #140a) To recognise and use the factorised form for the difference of two squares (Clip #141) To complete the square on a quadratic expression (Clip #141) To simplify and manipulate algebraic fractions (Clip #163) To form algebraic expressions to solve problems (Clip #161) Autumn Term

Two way tables
Grade D: Extract and use data from a 2way table (Clip #85) Grade C: Design and use 2way tables (Clip #85) Displaying Data Grade D: Scatter diagrams, lines of best fit and correlation (Clip #87) Grade C: Correlation, association and causality; outliers Grade C: Stem and leaf diagrams; find modal class and estimate mean/median from grouped data (Clip #89a and Clip #89b) Prime Factor Decomposition Grade E: Factors, multiples and prime numbers (Clip #44); prime factor decomposition (Clip #95); recall of squares, cubes and square roots (Clip #46); index notation for squares, cubes and powers of 10 (Clip #111) Grade D: Find HCF and LCM of 2 numbers (Clip #96a and Clip #96b) Trial and improvement Grade C: Solve equations using trial and improvement (Clip #110) Questionnaires Grade D: Design and criticise survey questions (Clip #134) Grade C: Understand sample and population; design and use datacollection sheets for grouped (Clip #84), discrete and continuous data Averages Grade C: Calculate/estimate the mean from frequency tables & grouped frequency tables (Clip #133a and Clip #133b) Statistical Diagrams Grade C/B: Produce and interpret a variety of statistical displays including frequency polygons. (Clip #86 and Clip #88) Cumulative Frequency and Box Plots Grade B: Draw and interpret cumulative frequency tables and graphs (Clip #151); quartiles and IQR; compare sets of data by drawing and interpreting box plots; compare distributions (Clip #152) Sequences and nth Term Grade C: Generate a linear sequence given a rule (Clip #65); Calculate the nth term of a linear sequence (Clip #112); use nth term to predict whether a term is in the sequence. Constructions and loci Grade D: Construct triangles using a ruler, protractor and pairs of compasses; draw circles and arcs to a given radius (Clip #80) Grade C: Ruler and compass constructions including angles and bisectors (Clip #127, #128 and #129); find and describe regions satisfying a combination of loci (Clip #130) Histograms Grade B: Draw and interpret histograms; understand and use frequency density (Clip 181) Pythagoras’ Theorem and Trigonometry Grade C: Use Pythagoras' Theorem in 2D (Clip 118a, Clip# 118b and Clip #119) Grade B: Use Pythagoras' Theorem in 3D (Clip 174); give answers to Pythagoras problems as surds; use trigonometric ratios in 2D to find side length and angles (Clip 147a, b, c) Index notation and Surds
Grade B: Use index laws to simplify and calculate numerical expressions involving powers; simplify expressions using index laws; simplify simple surds (Clip #111) Grade A/A*: Use calculators to explore exponential growth and decay; use index laws for integers, fractional and negative powers and powers of powers (Clip #156); simplify complex surds (Clip #157); calculate equations using surds including rationalising denominators (Clip #158) Direct and Indirect Proportion Grade B: Calculate quantities using direct and inverse proportionality (Clip #159) Grade A: Set up and solve word problems involving direct and inverse proportionality (Clip #159) Upper and Lower Bounds Grade B: Upper and lower bounds of measurements (Clip #125) Grade A: Upper and lower bounds of calculations; appropriate degrees of accuracy using upper and lower bounds (Clip #160) Histograms Grade B: Draw and interpret histograms; understand and use frequency density (Clip #181) Grade A: Find the median from a histogram (Clip #181) Probability Grade B: Selection with or without replacement (Clip #153); tree diagrams (Clip #154); compare theoretical and experimental probabilities (Clip #132); compare relative frequencies from samples of different sizes Sampling Grade B: Select and justify sampling schemes including random and stratified sampling (Clip #183) Sine and cosine rules Grade A: Calculate angles and lengths in nonrightangle triangles; calculate the area of triangles given 2 lengths and an included angle (Clip #173) Pythagoras and Trigonometry in 3D Grade B: Use Pythagoras' Theorem in 3D (Clip #174); give answers to Pythagoras problems as surds (Clip #119); use trigonometric ratios in 2D (Clip #147) Grade A: Use trigonometric ratios in 3D (Clip #175) Surface Area and Volume Grade B: Solve problems involving surface area and volume (Clip #120 and Clip #121); convert between metric volume measures (Clip #35); convert between units of volume and capacity (Clip #126) Grade A: Calculate surface areas and volumes of complex 3D shapes including cones, pyramids and frustums of cones (Clip #177 and Clip #178) Grade A*: Solve problems involving surface area and volume of complex shapes (Clip #178) Similar Shapes Grade B: Understand and use congruence and similarity in plane shapes to make geometric inferences and to justify proofs (Clip #123); understand and use the relationships between linear, area and volume scale factors (Clip #149) Vectors Grade B: Understand and use standard vector notation; represent vectors and combinations of vectors (Clip #180) Grade A/A*: Solve complex geometric problems in 2D using vectors (Clip #180) 