Transum Maths Software

Simultaneous Equations

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Simultaneous Equations. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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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

Featured Activity

Striped Sweets

Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

 

Curriculum for Simultaneous Equations:

Years 7 to 9

Pupils 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 11

Pupils 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...

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"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."

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"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!
Thanks"

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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.

Though there are many formal strategies for solving simultaneous equations the skill of forming the equations from real life situations is a very important stage in working towards a solution.

Algebraic methods are the most efficient for solving basic simultaneous equations but graphical methods, probably using a graphic display calculator or computer software package, may be more suitable for less standard sets of simultaneous equations.

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 ever-growing collection of Exam-Style 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:

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Rounding Ten

Rounding Ten

Round the numbers to the nearest whole number or the given power of ten. So far this activity has been accessed 5872 times and 4195 people have earned a Transum Trophy for completing it.

 

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Friday, February 16, 2018

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