# 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
   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.
   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
   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.
   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
   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.
   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-
   10.2: Use trigonometric ratios and Pythagoras’ theorem to solve more complex three-
   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.
       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.
       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].
       11.5: Solve a quadratic equation by completing the square. [Grade A–A*].
       11.6a: Recognise why some quadratic equations cannot be factorised. [Grade A*].
Module                      Description of work to be covered
1                          Diagnostic Analysis of Spring Term 1
‘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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