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SUB -TOPIC: SOLVING SIMPLE EQUATIONS
TOPIC: ALGEBRA SUB -TOPIC: SOLVING SIMPLE EQUATIONS
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Core competences to be achieved
Critical thinking and problem solving Efficacy learning to learn Digital literacy
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Solving simple equations
Activity: Solving simple equations by balancing method Work in groups Procedure Look at the following objects: Pictures of: Masses of various objects Standard masses Beam balance
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Cont.. Can you name objects provided? Have you seen them anywhere?
Where did you see them? Put two similar standard masses on two sides of the beam balance . what do you notice? Put two different standard masses on two sides of the beam balance . what do you notice?
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Cont…. g). Put 200 g mass on side A of the beam balance . put 100 g masses on side B of the beam balance. How many 100 g masses balance with 200 g mass? h). Using the results from (g) , find the value of A if 100 + A = 200
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Cont… Try to balance various objects and standard masses on a beam balance. Which different masses balance each other? Record your results in the table below: Standard mass Two 100 g Balances One 200 g
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Cont… Discussion: X + 50 = 100 is called a simple equation.
x is called an unknown To find the value of x is to solve the equation X +50 100 = A B
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Cont.. To maintain balance:
What is added on side a must be added to side B What is taken away side A must be taken away from side B
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Example Solve the equation x + 4 = 15
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solution Proceed as….. X +4 15 =
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Example cont…. Here, what is taken away from side A must be taken away from side B to maintain balance So take away 4 from both sides (x + 4) – 4 = 15 – 4 X = 11
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Digital literacy application
Visit the website: and watch a simulation on solving equations by balancing method. From the simulation answer the following questions: What mass should be added to 150 g mass to make it 350 g? Deduce the value of the unknown in: x + 13 = 21 34 = x - 10
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