A FULL LESSON on calculating the angle and radius of a sector, given its area or arc length. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. Fractions of amounts. Solving equations using the balancing method. We are learning about: The angle and radius of a sector. We are learning to: Calculate the angle and radius of a sector, given its area, arc length or perimeter. Differentiated objectives: Developing learners will be able to calculate the angle of a sector, given its area, arc length or perimeter. Secure learners will be able to calculate the radius of a sector, given its area, arc length or perimeter. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the angle and radius of a sector. Starter: Spot the mistake activity: calculating the area of a sector. Main: Examples to find the angle of a sector given its area or arc length. Standard questions with diagrams progressing to worded questions. Two further examples to find the radius of a sector given its area or arc length. Standard questions with diagrams, following on to two problem solving questions. Plenary: Find two pairs of integer values for the radius and an acute angle which give an arc length of 2π? Extra: Examples provided on printable worksheet. Similar to a bookmark shape, the students find it easy to stick this in on the (I use) left side of the page in their books. It saves time from writing down large amounts of text and drawing diagrams. More time to focus on learning!! Booklet with all questions provided as worksheet to stick in books. Any feedback is appreciated!

A FULL LESSON on expanding double brackets. Contents of download: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Triggered PowerPoint lesson which does not display solutions unless you click on the ‘Solution’ button. Use this if you would prefer to teach a different method of expanding brackets (e.g. The grid). Worksheets printable for students. Worksheets can be used independent of the lesson! Multiplication grid for use in an otherwise paperless lesson. We are learning about: Expanding double brackets We are learning to: Expand double brackets and simplify the expression. Differentiated objectives: Developing learners will be able to expand single brackets. Secure learners will be able to expand double brackets and simplify the expression. Excelling learners will be able to solve unfamiliar problems involving expanding double brackets. Main: Starter activity on expanding and simplifying the sum of two brackets. Walked through examples on products of binomials followed by increasingly difficult practice questions and activity. Walked through examples on products of harder binomials, followed by questions, spot the mistake and problem solving area question. All solutions given on PPT.

A FULL LESSON on constructing perpendicular and angle bisectors. Assumed prior knowledge: Use of a compass and straight edge Measuring an angle We are learning about: Constructing bisections We are learning to: Construct a perpendicular bisector and an angle bisector Differentiated objectives: Developing learners will be able to construct the perpendicular bisector of a straight line. Secure learners will be able to construct the perpendicular bisector of a straight line from a point. Excelling learners will be able to construct perpendicular bisectors and angle bisectors. Starter: MWB activity inspired by schoolyourself.org. Main: Worked through problem with visual prompts and steps followed by practice questions on worksheets. Answers to first three parts of each of the non-worded questions are given on the PPT.

A simple starter activity on labelling parts of a circle (with answers). Credit to mistrym03 for the idea which can be found in the following lesson Click here

At least TWO FULL LESSONs on circle theorems exam practice (assuming an average of 5 minutes per question and 2 x 1 hour lessons). Contents of download: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Exam booklet for students to work through (all solutions full animated for clarity and displayed on the PowerPoint). We are learning about: Circle theorems: exam practice We are learning to: Calculate the missing angles in a circle using circle theorems. Differentiated objectives: Developing learners will be able to apply circle theorems to find missing angles. Secure learners will be able to justify, with reason, the circle theorems they apply to find missing angles. Excelling learners will be able to solve unfamiliar problems using circle theorems.

A full lesson on sketching cubics, quartics and reciprocal functions. Incorporates the use of GeoGebra and the Casio fx-991EX Classwiz. Please do leave feedback! Thank you.

A FULL LESSON on calculating the area and perimeter of a sector. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. Fractions of amounts. Working with ratios (one question) Angles in quadrilateral (one question) We are learning about: The area and perimeter of a sector. We are learning to: Calculate the area and perimeter of a sector. Differentiated objectives: Developing learners will be able to calculate the area of a sector of a circle. Secure learners will be able to calculate the perimeter of a sector. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area and perimeter of a sector. Starter: What fraction of the circle is shaded? Main: Examples to find the area and perimeter of a sector. Standard questions with diagrams progressing to worded and problem solving questions. Plenary: Spot the mistake. Extra: Booklet with all questions (including example) provided as worksheet to stick in books. Any feedback is appreciated!

A FULL LESSONs on finding parts of a ratio given another. This lesson is designed to follow on from my previous lesson on dividing into parts. Contents of download: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Worksheets for examples and exercises (Separated or together depending on how you would like to print for your students). I personally print: Examples, worksheet 1, worksheet 2. We are learning about: Ratio - parts into parts We are learning to: Calculate parts of a ratio, given another. Differentiated objectives: Developing learners will be able to divide an amount into a given number of equal parts. Secure learners will be able to calculate different parts of a ratio, given another. Excelling learners will be able to solve unfamiliar problems involving calculating different parts of ratios. Main: Walked through examples with bar modelling, followed by practice questions on worksheets. Increasingly difficult questions leading up to exam-style questions at the end. All solutions given on PPT. Credit to MrBartonMaths and his intelligent practice exercise for inspiration behind Q5.

A FULL LESSON, which could definitely be used over 2 lessons for the right classes, on solving equations involving algebraic fractions. Contents of download: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Two worksheets printable for students with examples to speed up the lesson (no copying down questions etc). Worksheet can be used independent of the PowerPoint lesson! We are learning about: Solving equations with algebraic fractions We are learning to: Solve equations involving algebraic fractions Differentiated objectives: Developing learners will be able to solve equations involving algebraic fractions with numerical denominators. Secure learners will be able to solve equations involving algebraic fractions with algebraic denominators. Excelling learners will be able to solve unfamiliar problems involving solving equations with algebraic fractions. Main: Walked through examples with binomial numerators, which lead on to practice exercises of similar question types. Further walked through examples with binomial denominators. This splits the lesson into two distinct parts (or 2 whole lessons for the appropriate classes). All solutions given on PPT. Please do leave feedback!!