IM 7.6.3 Lesson: Reasoning about Equations with Tape Diagrams

Select [b]all[/b] the expressions that are [b]equivalent[/b] to [math]7\left(2-3n\right)[/math].
Explain how you know each expression you select is equivalent.
Select [b]all [/b]the equations that match the diagram below. [br][img]data:image/png;base64,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[/img]
Now explain your reasoning concerning the previous question:
Select [b]all [/b]the equations that match the diagram below. [br][img]data:image/png;base64,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[/img]
Explain your reasoning concerning the previous question:
Select [b]all [/b]the equations that match the diagram below. [br][img]data:image/png;base64,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[/img]
Explain your reasoning concerning the previous question:
Select [b]all [/b]the equations that match the diagram below. [br][img]data:image/png;base64,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[/img]
Explain your reasoning concerning the previous question:
Select [b]all [/b]the equations that match the diagram below. [br][img]data:image/png;base64,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[/img]
Explain your reasoning concerning the previous question:
Sort the equations into categories of your choosing.
Explain the criteria for each category.
Draw a tape diagram to match the equation: 114=3x+18.
Use any method to find values for [math]x[/math] and [math]y[/math] that make the equation true.
Draw a tape diagram to match the equation: 114=3(y+18).
Use any method to find values for [math]x[/math] and [math]y[/math] that make the equation true.
To make a Koch snowflake:[br][br][list][*]Start with an equilateral triangle that has side lengths of 1. This is step 1.[/*][*]Replace the middle third of each line segment with a small equilateral triangle with the middle third of the segment forming the base. This is step 2.[/*][*]Do the same to each of the line segments. This is step 3.[/*][*]Keep repeating this process.[/*][/list][br][img]data:image/png;base64,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[/img][br][br]What is the perimeter after step 2? Step 3?
What happens to the perimeter, or the length of line traced along the outside of the figure, as the process continues?[br]

IM 7.6.3 Practice: Reasoning about Equations with Tape Diagrams

Solve the equation mentally.
[math]2x=10[/math]
[math]-3x=21[/math]
[math]\frac{1}{3}x=6[/math]
[math]-\frac{1}{2}x=-7[/math]
Complete the magic squares by typing in the empty boxes so that the sum of each row, each column, and each diagonal in a grid are all equal.​
Draw a tape diagram to match the equation 5(x+1) = 20
Draw a tape diagram to match the equation 5x+1 = 20
Select [b]all[/b] the equations that match the tape diagram.[br][img]data:image/png;base64,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[/img]
The car is traveling at a constant speed. Find the number of miles the car travels in 1 hour at the given rate:
135 miles in 3 hours
22 miles in [math]\frac{1}{2}[/math] hour
7.5 miles in [math]\frac{1}{4}[/math] hour
[math]\frac{100}{3}[/math] miles in [math]\frac{2}{3}[/math] hour
[math]97\frac{1}{2}[/math] miles in [math]\frac{3}{2}[/math] hour

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