I’ve got sheep and chickens on my farm.

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Presentation transcript:

I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got?

4𝑠+2𝑐=22 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? 4𝑠+2𝑐=22 Discuss: What does this equation represent?

𝑠+𝑐=8 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? 𝑠+𝑐=8 Discuss: What does this equation represent?

Solve: 4𝑠+2𝑐=22 𝑠+𝑐=8 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? Solve: 4𝑠+2𝑐=22 𝑠+𝑐=8 Demonstrate with and without a bar model

𝑠 𝑠 𝑠 𝑠 𝑐 𝑐 𝑠 𝑐 22 8 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? 𝑠 𝑠 𝑠 𝑠 𝑐 𝑐 22 𝑠 𝑐 8

𝑠 𝑠 𝑠 𝑠 𝑐 𝑐 𝑠 𝑠 𝑐 𝑐 22 6 16 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? 𝑠 𝑠 𝑠 𝑠 𝑐 𝑐 22 𝑠 𝑠 𝑐 𝑐 6 16 2𝑠=6 𝑠=3

3 3 3 3 𝑐 𝑐 3 𝑐 22 8 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? 3 3 3 3 𝑐 𝑐 22 3 𝑐 8 3+𝑐=8 𝑐=5

Solve: 4𝑠+2𝑐=22 𝑠+𝑐=8 1 2 2 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? Solve: 4𝑠+2𝑐=22 𝑠+𝑐=8 Equation multiplied by 2 gives… 1 2 Demonstrate with and without a bar model 2

Solve: 4𝑠+2𝑐=22 2𝑠+2𝑐=16 1 2 I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? Solve: 4𝑠+2𝑐=22 2𝑠+2𝑐=16 1 2 Demonstrate with and without a bar model Subtracting the equations to eliminate c gives…

I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? Solve: 4𝑠+2𝑐=22 2𝑠+2𝑐=16 1 − 2 Demonstrate with and without a bar model 2𝑠 =6 𝑠 =3

I’ve got sheep and chickens on my farm. In total there are 22 legs and there are 8 heads. How many sheep and chickens have I got? Solve: 4𝑠+2𝑐=22 𝑠+𝑐=8 Substitution 𝑠 = 3 into equation 1 2 Demonstrate with and without a bar model 2 3+𝑐=8 𝑐=5

In your books.. Acknowledgements: TeachitMaths

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