maths yr11h lp4 by Fq5L78pJ

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									                                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.

								
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