8th U4L2 - Keeping Equations Balanced

Organize these into if they keep an equation/hanger balanced or not.

Groups:

(a) Balanced

,

(b) NOT Balanced

• Taking 1 of the same shape off both sides

• Adding 2 shapes on left and 1 of the same shape on right

• Taking one shape from the left and putting it on the right

• Adding 1 of the same shape to both sides

How can you write this hanger as an equation?

Groups:

(a) Correct Equation

,

(b) NOT a good equation

• 4 = 2x

• 12 = 4 + 2x

• 12 = 2x

• 4 · 4 · 4 · 4 = 4 · x ·x

• 4 + 4 + 4 + 4 = 4 + x + x

• 16 = 4 + 2x

What does a triangle equal?

• 3

• 4

• 6

• 12

What does a red trapezoid equal?

• 2

• 1

• 6

• 4

What would be a good equation for this hanger model?

• 2 = x

• 2 + 2 = x

• 2 · 2 = x

• x = 2

What does a blue circle equal?

a

1

2

3

6

After you take off common shapes from both sides, what would be a good equation?

• 4 + 4 = x + x

• 4 + 4 + 4 = x + x

• x = 4

• 4 + 4 + 4 = x + 4

What does a purple trapezoid equal?

• 6

• 12

• 3

• 4

What does a blue hexagon represent?

• 2

• 6

• 4

• 3

What equation does this model?

• x - 3 =7

• x + 3 = 7

• 3x = 7

• x/3 = 7