Simultaneous Equations Elimination Complete Lesson Preview the presentation

Simultaneous Equations – Elimination – Complete Lesson Preview the presentation to check ability-level, AFL questions, and the animations during demonstrations. It is recommended to delete slides/sections not needed for your class.

Starter A task at the beginning of the lesson that reviews a skill required for the learning. Knowledge Check Questions to assess students’ current understanding and to consequently show progress. Real-Life Example A ‘hook’ to raise interest and provide a concrete example. Demonstration Slides for a teacher to lead students – didactically or via questioning – through a mathematical method. AFL Questions Assessment For Learning Questions, used to assess students’ competency for independent tasks/activities. Plenary An opportunity for students to prove/evaluate their learning.

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STARTER Solve these equations using a clear method. EXAMPLE a) b) c) d)

STARTER Solve these equations using a clear method. EXAMPLE b) c) a) d) a) b) c) d) a) b) c) d)

A D B E C F

A D B C E F

Use the numbers below to make… Count 261 11 4 7 6 UP 12 2 5 3

December 2020 Simultaneous Equations: Elimination

Choose one pair of simultaneous equations and solve. KNOWLEDGE CHECK

Choose one pair of simultaneous equations and solve. KNOWLEDGE CHECK Answers

Jack and Jill go shopping in the same store. Jack buys 2 doughnuts and 3 apples. He spends £ 3. 50 How much is 1 doughnut? How much is 1 apple? How did you work this out? Jill buys 2 doughnuts and 2 apples. She spends £ 3

We can use maths, and algebra, to solve problems like this. If we calculate the difference between these sums, we can see how much more Jill spent. Jill bought 1 more apple and spent 50 p more. 1 apple must be 50 p If 1 apple is 50 p, 1 doughnut must be £ 1.

These are called simultaneous equations. We use them to find the values of linked variables. One of their uses is in business and economics to compare unknown inputs and known outputs.

We will find the difference between the sums by subtracting. 2 chocolate bars & 1 apple costs £ 2. 50 1 chocolate bar & 1 apple costs £ 1. 50 How much is a chocolate bar? How do we find the value of an apple?

Elimination Method 50 p Substitute the value of one strawberry to find the value of one banana. 50 p

Elimination Method £ 2 Substitute the value of one burger to find the value of one fries. £ 2

Elimination Method

Elimination Method

example Your Turn

example Your Turn

example Your Turn

example Your Turn

example Your Turn

example Your Turn

example Your Turn

example What is different with these simultaneous equations? What happens if we subtract the equations?

example

example Your Turn

example Your Turn

example Your Turn

example Your Turn

Simultaneous Equations: Elimination Method ① 1) Example Substitute the values into each equation to check your answers! 2) 3) 4) 5) 6) 7)

Simultaneous Equations: Elimination Method ① 1) Example Substitute the values into each equation to check your answers! 2) 3) 5) 4) 6) 7) Answers

Simultaneous Equations: Elimination Method ① 1) Example ① Substitute the values into each equation to check your answers! 2) 3) 4) 5) 6) 7)

Simultaneous Equations: Elimination Method ② 1) Example Substitute the values into each equation to check your answers! 2) 5) 3) 4) James bought 5 chocolate bars and 2 packets of crisps. He spent £ 5. 20 Jane bought 2 chocolate bars and 2 packets of crisps. She spent £ 2. 80 How much would 2 chocolate bars and 1 packet of crisps cost?

Simultaneous Equations: Elimination Method ② 1) Example Substitute the values into each equation to check your answers! 2) 3) 5) 4) James bought 5 chocolate bars and 2 packets of crisps. He spent £ 5. 20 Jane bought 2 chocolate bars and 2 packets of crisps. She spent £ 2. 80 How much would 2 chocolate bars and 1 packet of crisps cost? Answers

Simultaneous Equations: Elimination Method ② 1) Example 5) 3) 4) James bought 5 chocolate bars and 2 packets of crisps. He spent £ 5. 20 Jane bought 2 chocolate bars and 2 packets of crisps. She spent £ 2. 80 How much would 2 chocolate bars and 1 packet of crisps cost? Substitute the values into each equation to check your answers! 2) ② Substitute the values into each equation to check your answers! 2) 5) 3) 4) James bought 5 chocolate bars and 2 packets of crisps. He spent £ 5. 20 Jane bought 2 chocolate bars and 2 packets of crisps. She spent £ 2. 80 How much would 2 chocolate bars and 1 packet of crisps cost?

Simultaneous Equations: Elimination Method 1) 2) 3) 4) Rearrange one of the equations before adding or subtracting. 5) 6) 7) ③

Simultaneous Equations: Elimination Method 1) ③ 2) 3) 4) Rearrange one of the equations before adding or subtracting. 5) 6) 7) Answers

Simultaneous Equations: Elimination Method 1) 2) 1) 3) 4) Rearrange one of the equations before adding or subtracting. 5) 6) Simultaneous Equations: Elimination Method ③ 7) 2) 3) 4) Rearrange one of the equations before adding or subtracting. 5) 6) 7) ③

Choose one pair of simultaneous equations and solve. KNOWLEDGE CHECK

Choose one pair of simultaneous equations and solve. KNOWLEDGE CHECK Answers

Check your success! I can solve simultaneous equations by elimination. I can solve worded simultaneous equation questions. I can solve simultaneous equation using addition or subtraction.

Check your success! I can solve simultaneous equations by elimination. I can solve worded simultaneous equation questions. I can solve simultaneous equation using addition or subtraction.

Write a text message to a friend describing… The most important step for solving a simultaneous equation.

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk