Simultaneous Equations Starters:Boxing Day: Work out the contents and the cost of the Christmas boxes from the given clues Light Shopping: A lamp and a bulb together cost 32 pounds. The lamp costs 30 pounds more than the bulb. How much does the bulb cost? Oblongs: Find the dimensions of a rectangle given the perimeter and area. Pentadd: Five numbers are added together in pairs and the sums shown. What might the five numbers be? Planet Numpair: The sum and product are given, can you find the two numbers? Rabbits and Chickens: There are some rabbits and chickens in a field. Calculate how many of each given the number of heads and feet. Rail Weigh: Record the weights of the trains to work out the weight of a locomotive and a coach. A real situation which produces simultaneous equations. Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions. Same Same: A problem involving two people's ages which can be solved using algebra. Santa's Sleigh: Work out the number of clowns and horses given the number of heads and feet. Simultaneous Occasions: A problem which can best be solved as a pair of simultaneous equations. Sum of the Signs: Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for? Summer Holidays: There are some children and donkeys on a beach. Together they have 25 heads and 64 legs. How many children? How many donkeys? Two Numbers: Find the two numbers whose sum and product are given. Advanced Simultaneous Equations Starters
Small images of these Starters    Complete Index of Starters
Curriculum for Simultaneous Equations:Years 7 to 9Pupils should be taught to use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations more... Years 10 and 11Pupils should be taught to solve 2 simultaneous equations in 2 variables (linear/linear {or linear/quadratic}) algebraically; find approximate solutions using a graph more... Pupils should be taught to translate simple situations or procedures into algebraic ex Feedback:Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex: "This website was brilliant. My class and I really enjoy doing the activites." 
Notes:This topic covers simultaneous equations with two different variables. The starters pose real world problems which can be solved using the techniques taught at school or by other intuitive methods. Simultaneous Equations Activities:Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra. Pentadd Quiz: Find the five numbers which when added or multiplied together in pairs to produce the given sums or products. Recurring Decimals: Change recurring decimals into their corresponding fractions and vica versa. Simultaneous Equations: A series of exercises, increasing in difficulty, about simultaneous equations. Simultaneous Solutions: Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions. Using Graphs: Use the graphs provided to solve both simultaneous and quadratic equations. Window View: Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Simultaneous Equations. Simultaneous Equations Investigations:Window View: Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Simultaneous Equations Videos:Simultaneous Equations (Elimination): This video demonstrates how to solve simultaneous equations by elimination. Simultaneous Equations (Substitution): This video demonstrates how to solve simultaneous equations by substitution. Simultaneous Equations Worksheets/Printables:Simultaneous Equations Extension Exercise: An exercise that appeared in an algebra book published in 1895. It starts with basic questions but soon gets tricky! Simultaneous Equations External Links:Links to other websites containing resources for Simultaneous Equations are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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Friday, February 16, 2018