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

Polygon Pieces

Polygon Pieces

Arrange the nine pieces of the puzzle on the grid to make the given polygon. Level one is for those learning the names of shapes while other levels are for those who like a challenge!

 

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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I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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
Best wishes from Inger Kisby"

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"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

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To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

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 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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

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."

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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Friday, February 16, 2018

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