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Erica's Errors On Numerical Methods

Erica's Errors On Numerical Methods

Erica is struggling with iteration and Newton-Raphson, as it's on the new "Pure 2" syllabus. Can you help her sort out her homework answers and explain what she's done wrong?
alutwyche
Lesson on Equations of Straight Lines

Lesson on Equations of Straight Lines

These are two starter lessons on equations of straight lines. The first is on sketching, and focus on gradient interpretation and the connection between a line and its equation. The second is on finding line equations in general. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe
joezhou
Finding roots and real factors of z^n+k=0

Finding roots and real factors of z^n+k=0

The first resource guides your class through the process of using the real and complex roots of z^n+k=0 to write down its real factors. The introduction includes the important result about the sum of conjugates and then uses equations of the form z^n=1 or z^n=-1 to establish that there is always an even number of complex roots, which can be put into conjugate pairs. It is then shown how each conjugate pair of roots produces a real quadratic factor, while each real root produces a real linear factor. To practise all this there is an exercise with 7 questions for students to complete. Solutions to all the examples and the exercise are included. The second resource contains an exercise with further examination-style questions on this topic. This could be used as additional practice in class or as a homework/test. Answers are provided.
langy74
Vectors - perpendicular from a point to a line

Vectors - perpendicular from a point to a line

This worksheet focuses on the skill of being able to find the point of intersection of the perpendicular from a point to a line. It includes related questions such as the perpendicular distance from a point to a line and the coordinates of the reflection of a point in a line. Some of the lines are given in vector form and some are in cartesian form, so students need to be confident with both. There are 16 questions in total, all answers are provided.
langy74
GCSE 9-1 Exam Question Practice (Algebraic Proof)

GCSE 9-1 Exam Question Practice (Algebraic Proof)

This download has a very challenging selection of exam questions on Algebraic Proof (leading to quadratic equations). They are questions that all Higher students should be practising, but some of them will stretch your very best students. There are fully-worked solutions which will allow your students to check their work themselves meaning that less time is needed for feedback in class. [CLICK HERE] to see a list of the other available topic booklets. They are great for independent study, for a homework, or for working together in class.
Maths4Everyone
GCSE 9-1 Exam Question Practice (Equations with Algebraic Fractions)

GCSE 9-1 Exam Question Practice (Equations with Algebraic Fractions)

This download has a great selection of exam questions on Equations with Algebraic Fractions. The questions cover the full range of skills expected at GCSE for this topic. There are fully-worked solutions for students to follow, which means that less time is needed in class for feedback. [CLICK HERE] to see a list of the other topics available. These topic booklets are great for independent study, for a homework , or for working together in class.
Maths4Everyone
GCSE 9-1 Exam Question Practice (Simplifying Algebraic Fractions)

GCSE 9-1 Exam Question Practice (Simplifying Algebraic Fractions)

This download has a great selection of exam questions on Simplifying Algebraic Fractions. The questions cover the full range of skills expected at GCSE. There are fully-worked solutions for students to follow, which means that less time is needed in class for feedback. [CLICK HERE] to see a list of the other topics available. These topic booklets are great for independent study, for a homework , or for working together in class.
Maths4Everyone
Using graphs resources (new A level)

Using graphs resources (new A level)

These resources cover the whole topic of using graphs in the new A level. Each resource can be used as a teaching aid or as extra practice for your students (all answers are provided). The resources cover the following: Intersections of graphs Inequalities on graphs Graph transformations Proportion Also included is a homework/test that can be used to assess this whole section of the A level - fully worked solutions are provided for this.
langy74
Intersections of graphs (new A level)

Intersections of graphs (new A level)

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the intersections of graphs. The introduction discusses the different methods that can be used but then focuses on the method of substitution. There are then a few examples to illustrate the method, including questions about the geometrical interpretation of the answers. The final section shows how the discriminant can be used to determine/show the number of points of intersection, with examples to illustrate the method. Fully worked solutions to all examples are provided.
langy74
Lesson on Remainder and Factor Theorem Applications

Lesson on Remainder and Factor Theorem Applications

This is lesson on remainder and factor theorems application questions, suitable for exam preparations. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. They are under topics "Polynomial Division". You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe
joezhou