Use and interpret maps and scale drawings; Estimate lengths using a scale diagram; Make an accurate scale drawing from a diagram; Use three-figure bearings to specify direction; B A; Mark on a diagram the position of point given its bearing from point Give a bearing between the points on a map or scaled plan; A B, B A; Given the bearing of a point from point work out the bearing of from Use accurate drawing to solve bearings problems; Solve locus problems including bearings. POSSIBLE SUCCESS CRITERIA Sketch the locus of point on a vertex of a rotating shape as it moves along a line, i.e. a point on the circumference or at the centre of a wheel. COMMON MISCONCEPTIONS Correct use of a protractor may be an issue. NOTES Drawings should be done in pencil. Relate loci problems to real-life scenarios, including mobile phone masts and coverage. Construction lines should not be erased. UNIT 16: Algebra: quadratic equations and graphs SPECIFICATION REFERENCES A4 simplify and manipulate algebraic expressions by: … expanding products of two x2 bx c, binomials; factorising freturn to overview expressions of the form + + including the difference of two squares; … A11 identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically A12 recognise, sketch and interpret graphs of … quadratic functions; … A18 solve quadratic equations algebraically by factorising; find approximate solutions using a graph PRIOR KNOWLEDGE Students should be able to square negative numbers. Students should be able to substitute into formulae. Students should be able to plot points on a coordinate grid. Students should be able to expand single brackets and collect ‘like’ terms. KEYWORDS
Use and interpret maps and scale drawings; Estimate lengths using a scale diagram; Make an accurate scale drawing from a diagram; Use three-figure bearings to specify direction; Mark on a diagram the position of point B given its bearing from point A; Give a bearing between the points on a map or scaled plan; Given the bearing of a point A from point B, work out the bearing of B from A; Use accurate drawing to solve bearings problems; Solve locus problems including bearings. POSSIBLE SUCCESS CRITERIA Sketch the locus of point on a vertex of a rotating shape as it moves along a line, i.e. a point on the circumference or at the centre of a wheel. COMMON MISCONCEPTIONS Correct use of a protractor may be an issue. NOTES Drawings should be done in pencil. Relate loci problems to real-life scenarios, including mobile phone masts and coverage. Construction lines should not be erased. UNIT 16: Algebra: quadratic equations and graphs SPECIFICATION REFERENCES A4 simplify and manipulate algebraic expressions by: … expanding products of two binomials; factorising freturn to overview expressions of the form x2 + bx + c, including the difference of two squares; … A11 identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically A12 recognise, sketch and interpret graphs of … quadratic functions; … A18 solve quadratic equations algebraically by factorising; find approximate solutions using a graph PRIOR KNOWLEDGE Students should be able to square negative numbers. Students should be able to substitute into formulae. Students should be able to plot points on a coordinate grid. Students should be able to expand single brackets and collect ‘like’ terms. KEYWORDS
GCSE%20(9-1)%20Mathematics%20Edexcel%203-year%20Scheme%20of%20Work%20Issue%202.docx