<p>Students are provided with structure to facilitate plotting straight line graphs of implicit equations.</p> <p>The worksheet is split into two sections, progressing in difficulty, and each has an extension section. For very able students a further extension could be to find the points of intersection without having to plot the lines, although it is generally beneficial for their understanding to have a visual representation available as well. Answers are provided, including the plotted straight lines.</p> <p>The focus of this lesson could be any of the following:<br /> – Plotting straight line graphs;<br /> – Rearranging equations;<br /> – Simultaneous equations;<br /> – Intersection of straight lines;<br /> – What it means to ‘satisfy’ an equation;<br /> – Implicit vs explicit equations.</p> <p>Many concepts are touched upon here and you will need to decide which angle you are approaching this activity from to ensure that the lesson is coherent.</p> <p>Also included is a basic starter to give practise rearranging to change the subject of an equation.</p>

<p>An animated powerpoint demonstrating the equivalence of corresponding and alternate angles (angles in parallel lines).</p> <p>Includes a starter to recap angles on a straight line and in a full turn, three worksheets of increasing difficulty, and a game of pairs where students match diagrams with the size of the unknown angle and the rule used.</p>

<p>This game puts students in charge of a theme park, for which they will choose from a selection of rides using the ride information cards, which detail the running cost and ticket price of each ride, the percentage of visitors that buy a ticket for it, its risk rating, and the cost of insurance for it.</p> <p>Each day a dice roll will then generate a random event which impacts on the fate of the rides, and students will have to use their knowledge of percentages to calculate the number of visitors buying a ticket for each of their rides that day.</p> <p>Included:</p> <p>– A powerpoint presentation outlining the rules and taking you through the game;<br /> – A set of information cards for students to use to choose their rides; and<br /> – A colour coded table for students to fill in throughout the game to keep track of the popularity of their rides, any fines they have to pay or compensation they are awarded.</p> <p>This is an excellent resource for consolidating students’ knowledge of how to calculate percentages of numbers and increase numbers by a given percentage. It also makes use of other basic number skills and strategic decision making.</p> <p>The game should take around 50 minutes start to finish, but it will be within your control to increase or decrease this as appropriate. Great to use as a fun end of term game that still gets students using lots of important maths skills without it feeling like work.</p> <p>A fun end of term game maths game to reinforce knowledge of calculating percentages, which leads naturally to useful discussions as students are keen to calculate how much money they have earned.</p>