# 2molarHCl's Shop

I provide maths lessons and worksheets across various GCSE and A Level topics.

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I provide maths lessons and worksheets across various GCSE and A Level topics.

#### Solving equations (variable on one side, both sides then brackets)

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A lesson on solving equations, starting with the variable on one side, both sides then finally with brackets.

#### Converting between metric units of area and volume

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A powerpoint and worksheet on converting between metric units of area and volume. The worksheet is scaffolded and allows the students to discover for themselves how to convert between the different units.

#### Problem solving with fractions (mixed operations)

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This is a set of 12 questions involving adding, subtracting, multiplying and dividing fractions. Students need to read the worded problems and decide which operation they need to use. I ran this as a relay and displayed their team names and scores on the second powerpoint; they had 3 attempts at a question before they had to move on.

#### Composite functions

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An introduction to functions, the notation used and composite functions. A nice and structured powerpoint, with a tarsia activity to finish.

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A powerpoint used to recap solving quadratic equations, by factorising, completing the square and using the quadratic formula. It was used for a C1 lesson but is also relevant for GCSE.

#### AS Change of base formula and exponentials

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A lesson that covers using the change of base formula for logarithms and sketching different exponential functions, with the aim for students to see for themselves the key aspects of the graphs.

#### Surface area (with a wrapping task)

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A lesson on surface area, including a starter on area of 2D shapes, the surface area of cuboids and the surface area of prisms, mainly triangular based. There is a wrapping task that was designed at Christmas time, which involves students working in groups to find out how much wrapping paper is needed and how much it will ost to wrap all of the presents. This could easily be adapted for a birthday or any other celebration.

#### Collecting like terms

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A lesson for low ability students that introduces collecting like terms, first by using language and pictures then moving into the more abstract. There is a differentiated worksheet in the powerpoint, which is followed by using whiteboards to simplify expressions with multiple terms including negatives.

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A complete lesson on factorising quadratics. The starter recaps expanding expressions, before moving on to an explanation of how to factorise quadratics. There is a sequence of questions to be used with mini-whiteboards until students are confident. Included in the powerpoint is a slide with questions that are to be printed and cut out, so students can attempt two questions at a time and check with you in the form of a relay. There are also extension questions and help sheets towards the end of the powerpoint.

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A lesson on sketching quadratic graphs by finding the roots and turning points. Included are scaffolded worksheets for breaking down the steps (solving the quadratic, completing the square etc.).

#### AS Equations with indices

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AS Level lesson on solving equations involving indices. Includes examples of raising both sides of an equation to a given power and manipulating numbers to have the same base (e.g. 9 = 3^2, 27 = 3^3).

#### Equation of perpendicular lines

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Lesson covering the equation of a perpendicular line. Starts with students identifying reciprocals of numbers before moving on to finding the equation of a perpendicular line to a given line passing through a given point.

#### AS Roots and the discriminant

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A powerpoint for C1 that covers using the quadratic formula, what roots are and how the discriminant can be used to determine the number of roots a function has.

#### AS Tranformations of functions

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An introduction to transforming functions for C1. The worksheet provided has axes for students to draw the transformed functions. The second lesson moves away from using the coordinates and includes an example of an exam question.

#### A2 Modulus functions

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An introduction to the modulus function. Covers sketching different modulus functions and solving modulus equations by sketching.

#### Equation of a circle

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A lesson on discovering the equation of a circle. Students start by plotting coordinates using a table of values followed by whiteboard questions on identifying the radius given an equation and writing the equation given the radius. After this are a few examples of finding the points of intersection of a line and a circle using simultaneous equations.

#### Worded ratio questions

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This is a complete lesson on ratio, starting with the basics of simplifying ratios, sharing amounts in a ratio, calculating parts of a ratio given the difference between and finishing with a set of problem solving questions with answers provided.