VIEWS: 7 PAGES: 3 POSTED ON: 10/3/2012 Public Domain
Learning Programme Unit: Spring Term 2 Subject: Mathematics Year: 11 Title: GCSE Modular Mathematics Higher Tier Learning objectives: Book 2H: 7.1: Change the subject of a formula where the subject occurs more than once. [Grade A– A*]. 7.2ai: Solve equations in which the variable (the letter) appears as part of the numerator of a fraction. [Grade D–C]. 7.2aii: Solve equations where you have to expand brackets first. [Grade D–C]. 7.2aiii: Solve equations where the variable appears on both sides of the equals sign. [Grade D–C]. 7.2aiv: Set up equations from given information and then solve them. [Grade D–C]. 7.2bi: Solve equations in which the variable (the letter) appears as part of the numerator of a fraction. [Grade D–C]. 7.2bii: Solve equations where you have to expand brackets first. [Grade D–C]. 7.2biii: Solve equations where the variable appears on both sides of the equals sign. [Grade D–C]. 7.2biv: Set up equations from given information and then solve them. [Grade D–C]. 7.2ci: Solve equations in which the variable (the letter) appears as part of the numerator of a fraction. [Grade D–C]. 7.2cii: Solve equations where you have to expand brackets first. [Grade D–C]. 7.2ciii: Solve equations where the variable appears on both sides of the equals sign. [Grade D–C]. 7.2civ: Set up equations from given information and then solve them. [Grade D–C]. 7.3: Set up equations from given information, and then solve them. [Grade D–C]. 7.4: Estimate the answer to some equations that do not have exact solutions, using the method of trial and improvement. [Grade C]. 7.5: Solve simultaneous linear equations in two variables. [Grade B–A]. 7.6: Solve problems using simultaneous linear equations in two variables. [Grade B–A]. 7.7: Solve linear and non-linear simultaneous equations. [Grade A–A*]. 8.1: Construct triangles, using compasses, a protractor and a straight edge. [Grade D]. 8.2a: Construct the bisectors of lines and angles. [Grade C]. 8.2b: Construct angles of 60° and 90°. [Grade C]. 8.3: Draw a locus for a given rule. [Grade C]. 8.4: Solve practical problems using loci. [Grade C]. 9.1a: Show two triangles are similar. [Grade C–B]. 9.1b: Work out the scale factor between similar triangles. [Grade C–B]. 9.2: Find the equation of a line, using its gradient and intercept. [Grade B]. 10.1: Use trigonometric ratios and Pythagoras’ theorem to solve more complex two- dimensional problems. [Grade A*]. 10.2: Use trigonometric ratios and Pythagoras’ theorem to solve more complex three- dimensional problems. [Grade A*]. 10.3: Find the sine, cosine and tangent of any angle from 0° to 360°. [Grade A*]. 10.4: Use the sine rule and the cosine rule to find sides and angles in any triangle. [Grade A–A*]. 10.5: Work out trigonometric ratios in surd form. [Grade A*]. 10.6: Work out the area of a triangle if you know two sides and the included angle. [Grade A–A*]. 11.1: Expand two linear brackets to obtain a quadratic expression. [Grade C–B]. 11.2: Factorise a quadratic expression into two linear brackets. [Grade B–A]. 11.3: Solve a quadratic equation by factorisation. [Grade C–A]. 11.4: Solve a quadratic equation by using the quadratic formula. [Grade A]. 11.5: Solve a quadratic equation by completing the square. [Grade A–A*]. 11.6a: Recognise why some quadratic equations cannot be factorised. [Grade A*]. 11.6b: Solve practical problems using quadratic equations. [Grade A*]. Module Description of work to be covered 1 Diagnostic Analysis of Spring Term 1 Assessment/Mock Exam & addressing ‘Misconceptions’. 2 Statistics GCSE Controlled Test. 3 Algebra: Equations. (Book 2H – Chapter 7:7.1 – 7.7). 4 Geometry: Constructions. (Book 2H – Chapter 8: 8.1 – 8.4). 5 Geometry: Similarity. (Book 2H – Chapter 9: 9.1 & 9.2). 6 Geometry: Trigonometry. (Book 2H – Chapter 10: 10.1 – 10.6). 7 Algebra: Quadratics. (Book 2H – Chapter 11: 11.1 – 11.6). 8 Spring Term 2 Assessment Tests: Mock GCSE Maths & Statistics Exams. Success criteria: For full details please use the individual link to each chapter summary. Book 2H: CHAPTER 7 CHAPTER 8 CHAPTER 9 CHAPTER 10 CHAPTER 11 Assessment arrangements: A combination of class work and online homework results will be used to assess the grade students are working at. Self-assessment will also be completed at the end of each chapter of work. An assessment test every half term. Homework / Extended learning: Homework will usually be set as past exam papers/questions or as an extended learning task using a variety of online exercises on MyMaths, Sam Learning and MangaHigh websites. They will be set each half term and should be worked on for a minimum of 40 minutes per week. Worksheets / written exercises may also be used.