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Enrichment in Mathematics – Year 7 Unit as per MTP (Autumn) Algebra 1 Sequences & functions Formulae & identities Number 1 Place value Integers (=/-) Calculations Calculator methods SSM 1 Mensuration Ref to Supplement of Examples in Framework Pg 144 – 163 Pg 112 – 113 Core Objectives Generate simple integer sequences Find terms given a rule Functions from real-life Use letter symbols Pg 36 – 41 Pg 48 – 51 Pg 88 – 91 Pg 102 – 105 Pg 108 – 109 Decimal notation Multiply and divide 10, 100, 1000, etc Negative numbers Increasing 10 x 10 recall Approx to calculations Pg 198 – 201 Pg 228 – 31 Pg 234 – 241 2D rep of 3D shapes Units of measurement Solve everyday problems involving length & area. Area & perimeter of rectangles, surface area of cuboids Activity Consecutive numbers ExtensionFinding the nth term of a linear and quadratic sequence. Digit Sum Finding sum of numbers and sum of consecutive numbers from 1 to 100. Use of shortcuts encouraged. Magic Square Board Three Split Cube The Cafe Number 2 Fractions, decimals & % Calculations Handling Data 1 Handling data Probability Pg 60 – 77 Pg 92 – 101 Pg 110 – 111 Pg 256 – 261 Pg 268 – 271 Pg 276 – 283 Worcestershire Numeracy Team Fractions: parts of shapes, simplifying, equivalent, + and – simple fractions. recognise the equivalence of fractions, decimals & % Extend mental methods, check results, simplify problems explain & justify methods Averages – MMM & range of grouped data Interpretations of tables, pie charts, graphs, etc Probability scale from 0-1 in simple context. Notes A traditional task rearranging the digits 1-9 into a 3 × 3 grid so that every row, column and diagonal add to the same total. Finding dimensions of boards given relative measurements; uses area, trial & improvement, patternseeking and algebraic generalisation. Finding surface area of a cube from given restrictions; uses trial & improvement or algebraic method. Splitting a 4 by 4 grid of table into sections; problemsolving. What’s between ½ and ¾? A starter/plenary activity looking at equivalent fractions. Birthday Boy Starter/plenary task using equivalent fractions & problem solving. Sam’s CD’s A real life problem solving monetary task involving the 4 operations and finding fractions of amount. Where do I fit in? A whole class, active task looking at median, mode and range in a real life context. Enrichment Activities Enrichment in Mathematics – Year 7 Algebra 2 Equations Formulae & identities SSM 2 Geometrical reasoning Lines, angles & shapes Coordinates Mensuration Pg 112 – 119 Pg 138 – 143 Pg 178 – 189 Pg 218 – 219 Pg 232 – 233 Worcestershire Numeracy Team Use letter symbols Algebraic operations Collecting like terms Use x single bracket Substitution of positive integers Solve problems & represent a problem mathematically using symbols, words, diagrams & tables Conventions Angles, parallel lines, triangles & quadrilaterals 2D coordinates in all 4 quadrants Solving algebraic puzzles A task encouraging pupils to find a number of different ways of finding a solution. Leads to discussion about efficiency. What time is dinner? A paired activity based on solving a mystery style problem. Substitution & problem solving involved. Right Angles Geogebra file Finding the maximum possible number of rightangles in polygons; patternseeking. Enrichment Activities Enrichment in Mathematics – Year 7 Unit as per MTP (Spring) Handling Data 2 Handling data Number & measures 3 Place value Calculations Calculator methods Ref to Supplement of Examples in Framework Pg 248 – 255 Pg 262 – 265 Pg 268 – 271 Use statistical methods to solve problems Collect, organise data using a questionnaire, diagrams, ICT, graphs, tables etc Solve word problems Pg 42 – 45 Pg 82 – 87 Pg 92 – 111 Pg 228 – 231 Round to nearest 10,100,… 4 rules to integers & decimals Order of operations Mental methods, fractions, decimals, % ×/÷ 3 digit by 2 digit Check results, break down a calculation Pg 52 – 59 Pg 108 – 109 Pg 148 - 167 Multiples & factors Primes, ∆ numbers, squares Sequences Simple linear graphs Pg 184 – 189 Pg 198 – 201 Pg 220 – 223 Identify angle, side and symmetry properties of triangles & quadrilaterals 2D representation of 3D shapes Construction (SAS, ASA ,… Pg 70 – 81 Pg 110 – 111 Recognise equivalence of fractions, decimals & % Compare simple proportion Relationship between ratio and proportion Divide a quantity into 2 parts in a given ratio Check results Algebra 3 Integers, powers & roots Calculator methods Sequences, functions & graphs SSM 3 Geometrical reasoning Lines, angles & shapes Construction Number 4 Fractions, decimals & % Ratio & proportion Calculations Algebra 4 Equations, formulae & identities Core Objectives Pg 112 – 125 Worcestershire Numeracy Team Use letter symbols Algebraic operations Collecting like terms Simplify linear algebraic expressions Construct and solve simple linear equations Activity Notes Recycling A classroom task where students have to apply their knowledge of statistical methods and methods of calculation to look at profit made by recycling aluminium cans. Digit Multiplication Starter /plenary task that provides opportunity for pupils to apply their knowledge of multiplication/division facts. Always, sometimes, never true A different take on an always sometimes never task where pupils are asked to go on and justify their generalisations using proof. An ideal opportunity for paired/group work and discussion. Read my mind Practical task that tests pupils’ spatial awareness as well as their ability to translate 3D to 2D. Can also be related to plans & elevations. Flour Power Short task using percentage increase and decreases. Asks pupils to question the validity of their answers. What’s the Size? Ratio and proportion in a shape, space & measures context. Bad Dog An introduction to formal algebra. A word problem that could be used as a starter or plenary. Enrichment Activities Enrichment in Mathematics – Year 7 Unit as per MTP (Summer) SSM 4 Transformations Handling Data 3 Handling data Probability Number 5 Place value Calculations Calculator methods Fractions & % Ref to Supplement of Examples in Framework Pg 202 – 212 Use language & notation associated with: translations, rotations, reflections Pg 250 – 273 Pg 278 – 285 Solve problems including MMM & range Collect, organise data using a questionnaire Suitable graphical representation Interpretation / inferences Range of techniques Pg 52 – 55 Pg 88 – 111 Pg 66 – 77 SSM 5 Geometrical reasoning Lines, angles & shapes Construction HCF, LCM, primes Rapid recall facts Extend mental methods Estimates & approximations ×/÷ of decimals by a single digit whole number Recognise equivalence of fractions, decimals & % Activity Notes Transforming Triangles Geogebra solution file Rotating triangles around midpoints of sides and exploring the properties of the resulting shapes; uses rotation of 180° about a centre, side and angle properties of quadrilaterals. Average bar charts A paired or group activity matching bar charts to sets of averages data and calculating missing values. A game similar to those using order of operations to find varying answers, however this provides more challenge and brings in wider aspects of number work. Prime number challenge is a homework or small class investigation on prime numbers. Can use spreadsheet to find answer. 24 Game Prime Number Challenge Pg 122 – 143 Pg 154 – 177 Construct & solve simple linear equations Substitution positive integers Solve problems & represent a problem mathematically using symbols, words, diagrams & tables Plot simple linear graphs including y = c & x = c Always, sometimes, never - Fibonacci sequences A different take on an always sometimes never task where pupils are asked to go on and justify their generalisations using proof. Pg 184 – 212 Pg 220 – 223 Identify angle, side and symmetry properties of triangles & quadrilaterals Explore transformations & symmetries using ICT Construction (SAS, ASA ,… Construct nets of 3D shapes Construct It! Geogebra file Geogebra solution Uses triangle construction to help construct a quadrilateral; awareness of multiple solutions. Algebra 5 Equations, formulae & identities Sequences, functions & graphs Core Objectives Worcestershire Numeracy Team Enrichment Activities