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... 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All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy: "3 NQTs in the department, I'm new subject leader in this new academy  Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!" 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." 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 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary: "I use Starter of the Day as a registration and warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. 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The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy: "I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson." 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 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. 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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. 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