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Solve a system by elimination

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Solve a system by elimination

Season 01

Episode AP11 Time frame 1 period

Objectives :

•

Disover the eliminationmethodfor solving a system.

Materials :

•

Task sheets.

•

10ut-out oloured ard sheets.

•

Slideshow.

1 – Example 5 mins

There are three type of oloured ards :green, yellowand blue.

Eahblueardhasavalueof1,butthevaluesofthegreenandyellowardsareunknown.

Thefollowingsystemhastobesolvedtondoutthevaluesofthe greenand yellowards.

Two greenards and two yellow ards make four.

Threegreen ards and one yelloward makefour.

The steps of the method are shown below.

1. Set up the two equations.

2. Multiply one equation so that the

numberofyellow(orgreen)ards are

equal.

3. Take fromeahequation the number

of green, yellowand blue ards there

4. Dedue the value ofthe green ard.

5. Gobak to the rst equation.

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Season 01 • Episode AP11 • Solve a system by elimination

1

6. Replae eah green ard by the ap-

propriate numberof blue ards.

7. Subtrat the same number of blue

ards from both sides.

8. Dedue the value ofthe yellow ard.

9. Conlude:thevaluesofthegreenand

yellowards are both equalto1.

2 – Solve systems with tokens Remaining time

Students work in pairs. Eah pair has to solve 10 systems with this method(the teaher

should hek that noother method is used). Every good answer earns two points to the

team.

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Document Task sheet

There are three type of oloured ards :green, yellowand blue.

Eahblueardhasavalueof1,butthevaluesofthegreenandyellowardsareunknown.

Use the ards tond out the values of the green and yellowards in the following situa-

tions.

1.

One green ard and two yellowards makeeight.

Three green ards and three yellow ards make fteen.

2.

Four green ards and three yellowards make fteen.

Three green ards and two yellowards make eleven.

3.

Three green ards and two yellowards make two.

Six green ards and fouryellowards maketwo.

4.

Two green ards and three yellowards make seven.

Four green ards and two yellow ardsmakesix.

5.

Three green ards and three yellow ards make seven.

Four green ards and six yellowards make ten.

6.

Two green ards and three yellowards make one.

Four green ards and six yellowards make two.

7.

Three green ards and eight yellowards make four.

Six green ards and fouryellowards makeve.

8.

Three green ards and two yellowards make one.

Two green ards and three yellowards make minusone.

9.

Two green ards and one yelloward makezero.

Three green ards and two yellowards make one.

10.

Three green ards and fouryellowards makeminus one.

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Season 01 • Episode AP11 • Solve a system by elimination

3

Document 1

Cut-out oloured ard sheets

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Season 01 • Episode AP11 • Solve a system by elimination

5

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1 1 1

−1 −1 −1 −1 −1 −1

−1 −1 −1 −1 −1 −1

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