Draw the balance scale shown below Then find
Draw the balance scale shown below. Then find three possible solutions that will keep the scale balanced. Note: Figures that are the same shape must have the same value. Draw this scale as shown in your new Workbook UNIT 4 Workbook on Page 6.
Page 7 +9 +7 -4 +12 Where do lines begin? Where do lines end? Why are some lines above the number line? Why are some lines below the number line? If lines represent a series of movements, how do you know where the sequence began?
Page 8 Determine the value of each fruit shown: o Apple o Banana o Cherry
Page 13
Page 14 (balanced)
Take turns going around your table describing how the removal of triangles on each side will change the hanging figures. (triangles removed)
Because the weight of 3 triangles was taken off of the right side, but only two were triangles were taken off of the left side the hanger will become unbalanced. The hanger will now be heavier on the _____ side.
Hint: The weight of a square is not a whole number. Equation: 3 x + 2 = 1 x + 5 1 1 1 1 (balanced)
Pages 14 -15
The shape with an unknown weight is the _____. Let this shape be called x. Part A. Equation: 1 x + 21 = 5 x + 6 3 x 6 x x x 6 6 x
Part B Equation: 2 x + 12 = 2 x + 12 Discuss: Will there be one solution, multiple solutions, or no solution? 6 x x 3 6
Page 15 3 x NOTE: THE VALUE WILL BE A NEGATIVE NUMBER. 3 3 Equation: 2 x + 9 = 1 x + 6 x 3
Page 15
Assignment: Independent Practice Pages 14 -15 # 1 -5 This will be addressed in your Desmos Assignment.
New Diagram x x x x
Page 17
Page 17
Page 18 HINTS: o What are shapes can be canceled out from each side? o What shapes would remain?
Page 18 Rewrite without parenthesis: 1 x + 3 + 1 x – 2 + 3 x + 9 – 1 = 87 1 x + 3 x ( + 3 – 2 + 9 – 1 ) = 87
Page 19 N I L 1 E LIN 2 E o Determine the slope of each line o Determine the y-intercept for each line o Using this information, write an equation for Line 1 and Line 2 using y=mx+b format
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