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MATHEMATICS LEARNING PROGRAMME TEACHING GROUP: 8M3 STAFF: A. Wright HALF TERM: 6 (Summer Term 2) Subject Topic/Unit: Number, Geometry, Algebra By the end of this unit of work you will demonstrate your learning and the progress you have made towards achieving your aspirational target by: Calculate Highest Common Factor and Lowest Common Multiple for a set of numbers. To display a number as the product of its prime factors. Calculate angles within parallel lines, triangles and quadrilaterals. Construct both a line and angle bisector accurately with the use of pencil, compasses and ruler. State the nth term rule for a linear/arithmetic sequence. Module 1 The literacy skills you will need to develop and include within the final assessment of your learning are: All work must be presented neatly and in-line with Academy expectations. Understand key words within a Mathematical context. Accurate spelling. Key words: See Literacy focus for each module for top 3 key words and a full list of key words is provided in the Progress Assessment book for this learning pathway. Module 2 Learning objective: 1.1 Add, subtract, multiply and divide integers. (Levels 5 – 6) Learning objective: 2.1 Identify alternate angles and corresponding angles. (Level 6) 1.2 Use multiples, factors, common factors, highest common factors, lowest common multiples and primes. (Levels 4 – 6) 2.2 Understand that: the angle sum of a triangle is 180° and of a quadrilateral is 360°; the exterior angle of a triangle is equal to the sum of the two interior opposite angles. (Levels 5 – 6) 1.3 Use squares, positive and negative square roots, cubes and cube roots, and index notation for small positive integer powers. (Levels 5 – 6) 1.4 Find the prime factor decomposition of a number, for example, 8000 = 26 × 53. (Level 6) Literacy focus: Prime, factor, multiple, Highest Common Factor (HCF), Lowest Common Multiple (LCM). Homework task: Weekly Challenge (Level 4 – 5) 2.3 Understand a proof that: the angle sum of a triangle is 180° and of a quadrilateral is 360°; the exterior angle of a triangle is equal to the sum of the two interior opposite angles. (Level 6) 2.4 Solve geometrical problems using side and angle properties of special quadrilaterals, explaining reasoning with diagrams and text; classify quadrilaterals by their geometrical properties. (Levels 5 – 6) Literacy focus: Parallel, Alternate, corresponding, interior, exterior. Homework task: Weekly Challenge (Level 4 – 5) Module 3 (Week 3) Module 4 Learning objective: To assess CWA level/grade and monitor progress. Learning objective: To address misconceptions from SUT2 assessments. Literacy focus: Reading and interpreting questions. Literacy focus: Quality of written communication (QWC). Homework task: Weekly Challenge & revision using on-line & other revision materials. (Level 4 – 5) Homework task: Weekly Challenge & revision using on-line & other revision materials. (Level 4 – 5) Module 5 Module 6 Learning objective: Learning objective: 2.5 Use a straight edge and compasses to construct: the mid-point and perpendicular bisector of a line segment; the bisector of an angle; the perpendicular from a point to a line; the perpendicular from a point on a line. (Level 6) 1.6 Use linear expressions to describe the nth term of a simple arithmetic sequence, justifying its form by referring to the activity or practical context from which it was generated. (Level 5 – 7) Literacy focus: Perpendicular, bisect, line segment, construct. Literacy focus: Linear expression, nth term, sequence, arithmetic. Homework task: Weekly Challenge. (Level 4 – 5) Homework task: Weekly Challenge. (Level 4 – 5) Module 7 (NUMERACY) Learning objective: Interpret key words and identify appropriate mathematical calculations linked real life scenarios Give good reasons and clear explanations to justify solutions (Level 4-5) Literacy focus: Develop written communication skills; clear presentation, capital letters, punctuation and spellings. Homework task: Mini projects from functional skills scenarios linked to everyday life - detailed on Numeracy Learning Programmes on the Academy’s website. (Level 4-5)