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#### GCSE 9-1 Maths Must Know Topics

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Lesson 1: Quadratic Sequences Lesson 2: Completing the Square Lesson 3: Iteration Lesson 4: Composite Functions Each lesson includes worked examples and practice questions. Alternative methods are shown for completing the square. Iteration lesson includes a video and graphical representation of how iteration works to deepen student understanding.

#### Venn Diagrams (Complete Lesson)

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This PowerPoint is a complete lesson for Venn DIagrams with 2 sets. The lesson begins with with understanding sets and notation, followed by filling in Venn Diagrams when given information in set notation. Afterwards students learn specific notation such as intersection, union, and complement. Thus leading them to use this knowledge to shaded in specific regions of a Venn Diagrams. Once students have grasped the basics, then then begin solving questions by filling in Venn Diagrams. STarting with basic questions, moving to probability and finishing with algebraic questions. A mastery approach has been applied to the PowerPoint to help student with their understanding.

#### Common Factoring - Introductory Lesson

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The Following lesson introduces the concept of common factoring through numerical calculators where students find quicker and easier ways to mental calculator sums through the use of common factoring. It then moves on to algebraic factoring with visual displays (algebraic tiles) and finishes with piecewise factoring. The idea is to move from piecewise factoring onto expanding double brackets.

#### GCSE 9-1 Maths Higher Level Starters (Target 8-9)

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The following starter questions are for students targeting grades 7-9. Questions are taken from various exam boards and include solutions. Encourages students to think and apply their skills in different contexts. Entire PowerPoint includes over 50 questions in the following categories: Coordinate Geometry - Circles Geometric Problems and Proof Algebraic Proof Trigonometry Inequalities Functions Coordinate Geometry – Lines &amp; Curves Sequences Algebraic Problems – including ratio Indices and Surds Statistics Extra

#### Simultaneous Equations - Indices

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The following problem incorporates linear simultaneous equations within an index problem (prime factorization). This question is for those students looking to get 8+ and have the ability to transfer various skills to different contexts. Though this is only one question it will take a lot of time for students to attempt and then walk through the solution. The solution is attached to the slides.

#### GCSE 9-1 Maths Geometric Sequences and Exponential Functions

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The following PowerPoint will take at least 2 days to complete. The lesson starts with Geometric Sequences and links it to Exponential Functions. The lesson also looks at the connection between geometric sequences, exponential functions and compound interest. By the end of the lesson students should be able to find the nth term of a geometric sequence and the equation of an exponential function.

#### GCSE 9-1 Maths Equations of Circles

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Lesson introduces students to drawing and writing equations of circles with centers around the origin and (p,q). The lesson walks through how the equation of a circle is from by linking it with Pythagoras theorem. After the understanding of a circle with center (0,0), the lesson then moves to connect circles with the concept of translations, thus creating equations with centers at (p.q). The package includes lesson presentation, introductory activity to understand circle and its transformations, along with class work and homework exercises.

#### GCSE 9-1 Maths Starters (Target Grades 4-6)

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20 Maths starters for targeting grades 4 - 6 on a Higher Paper. Also works well if teaching a boarder line class with a few students writing the Foundation Exam. Most starters have complete solutions. Questions are taken from various Edexcel Exam papers and contains questions from levels 4 - 9. Certain higher level questions are given for students to transfer their skills and obtain some of the marks.

#### Geometry - rectangles, triangles, trapeziums, circles

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The following resource starts with recapping the concept of perimeter and area of rectangles and rectilinear shapes. As well, introduces students to area mazes to help build on their logically thinking. The PowerPoint introduces students to areas of new shapes: triangles, trapeziums, circles. After circles, students learn area of sectors through pie charts and then move on to arc lengths. After understanding certain shapes, students then learn learn how to draw nets for 3D shapes so that they can then calculate surface areas for certain prisms. Finally, the PowerPoint finishes with students completing metric conversions for lengths and capacity.

#### Quadratic Sequences - Complete Lesson

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The lesson looks at the differences between a linear and quadratic sequences graphically and focusing on finite differences, thus leading to the nth term. The lesson identifies two methods for finding the nth term of a quadratic sequence with multiple questions in different contexts. Questions also have students transferring skills from other topics such as area, solving equations, simultaneous equations, etc. This lesson can also be used with AQA Further Maths students as the PowerPoint ens with limiting value of a sequence.

#### GCSE 9-1 Maths Trigonometry Exact Values

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The following PowerPoint contains about 3-4 days worth of lessons and is a complete package for teaching exact values to students (targeting students grades 7+). Lessons Include: Introduction to Exact Values Evaluating using Exact Values Application Problems (including surds) Problems involving Algebra (including quadratics) The Lesson walks through the basic trigonometric ratios and special triangles introducing trigonometric graphs and alternative ways of remembering 0 and 90 degree angles. Various questions from multiple exam boards and textbooks have been use to give students a range of contexts to apply special triangles. QUestions used tend to incorporate multiple transferable skills such as: surds, algebraic fractions, quadratics, sine law, area of non-right angle triangles etc. Lesson is to be used after students have mastered basic right angle trigonometry and some questions are only useful if students have learn non-right angle trigonometry.

#### Higher GCSE Maths Starters (Target 5 - 9)

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Th bundle contains 32 days worth of starters. Each stater comprises of 2 questions. One being of level 4 or 5 and the other of level 7 to 9. The idea is that students will practice both questions from the beginning and ending of the exam. I find higher level students tend to make mistakes early of in the exam and this allows them to practice these types of questions in class. Thus helping to improve results.

#### Composite Function Starters

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These starters require students to use skills from other topics. There are a total of 7. The idea of these questions is to encourage students to think. For example, in the first question, after understanding the concept of composite functions students are to work backwards to solve for the unknown function. The other questions require other skills such as, completing the square, curve sketching, domain, etc.

#### Embedded Linear Simultaneous Equations

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30+ linear simultaneous equation problems. The PowerPoint starts with a quick recap on how to solve using either substitution or elimination. Most problems require students to transfer skills from other contexts in order to solve the problem. Problems include, linear and quadratic sequence, equations of quadratic graphs, angle properties, equation of a line, area and perimeter, index rules, HCF &amp; LCM, pressure and density, etc.

#### Complete the Square (Full Lesson)

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Full completing the square lesson. Includes completing the square for both simple and complex trinomials and solving using completing the square. Lesson includes full process of how completing the square works with all steps in between.

#### Iteration

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This lesson starts with Trial and Improvement and moves to Iteration by showing the students the Recursive Formula and how it is used. The lesson gives students an understanding of how iteration works by using graphical displays and understanding functions.