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: How many children and how many donkeys are on the beach? You can work it out from the number of heads and the number of feet! Two Numbers: Find the two numbers whose sum and product are given.
Small images of these Starters :: Index of Starters Simultaneous Equations Advanced Starters:Same Series Sum: Find an arithmetic series and a geometric series that have the same sum of the first five terms. Two real numbers: The sum of the reciprocals of two real numbers is 1, and the sum of their cubes is 4. What are they?
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 expressions or formulae; derive an equation (or 2 simultaneous equations), solve the equation(s) and interpret the solution more... Years 12 and 13Pupils should be taught to solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation more... Feedback: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." Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. 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 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 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Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource  thanks a million." Comment recorded on the i asp?ID_Top 'Starter of the Day' page by Ros, Belize: "A really awesome website! Teachers and students are learning in such a fun way! Keep it up..." Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS: "This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 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Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! 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 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much 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." 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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 selfmarking, multilevel set of exercises on solving pairs of 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. Unbeknownst: Some picture grid puzzles which can be solved by using simultaneous equations. 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 Examples: These are the examples used in the help video for the Simultaneous Equations online exercise. 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