IM 7.7.1 Lesson: Relationships of Angles

Use the applet to answer the questions.
Which angle is bigger, [math]a[/math] or [math]b[/math]?
Identify an obtuse angle in the diagram. 
Look at the different pattern blocks inside the applet below. Each block contains either 1 or 2 angles with different degree measures.
Which blocks have only 1 unique angle?
Which blocks have 2 unique angles?
If you place three copies of the hexagon together so that one vertex from each hexagon touches the same point, as shown, they fit together without any gaps or overlaps. Use this to figure out the degree measure of the angle inside the hexagon pattern block.[br][img]data:image/png;base64,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[/img]
Figure out the degree measure of all of the other angles inside the pattern blocks. Be prepared to explain your reasoning.
We saw that it is possible to fit three copies of a regular hexagon snugly around a point.
Each interior angle of a regular pentagon measures [math]108^\circ[/math]. Is it possible to fit copies of a regular pentagon snugly around a point? If yes, how many copies does it take? If not, why not?[br][br][img]data:image/png;base64,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[/img][br][br]If yes, how many copies does it take? If not, why not?[br]
Use pattern blocks in the applet below to determine the measure of each of these angles.
[img]data:image/png;base64,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[/img]
Use the applet to help you answer the above question. (Hint: turn on the grid to help align the pieces.)
If an angle has a measure of [math]180^\circ[/math] then the two legs form a straight line. An angle that forms a straight line is called a straight angle. Find as many different combinations of pattern blocks as you can that make a straight angle. Use the applet below.
Use the applet to help you answer the above question. (Hint: turn on the grid to help align the pieces.)
Tyler and Priya were both measuring angle TUS.
Priya thinks the angle measures 40 degrees. Tyler thinks the angle measures 140 degrees. Do you agree with either of them? Use the applet above. Explain your reasoning.

IM 7.7.1 Practice: Relationships of Angles

Use the applet to draw a right angle.
How do you know it's a right angle?
What is its measure in degrees?
Use the applet to draw a straight angle.
 How do you know it’s a straight angle?
What is its measure in degrees?
An equilateral triangle’s angles each have a measure of 60 degrees.
Can you put copies of an equilateral triangle together to form a straight angle? Explain or show your reasoning.
Can you put copies of an equilateral triangle together to form a right angle? Explain or show your reasoning.
Here is a square and some regular octagons.
In this pattern, all of the angles inside the octagons have the same measure. The shape in the center is a square. Find the measure of one of the angles inside one of the octagons.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation [math]10-0.035d=4[/math].
Is 100 a solution of [math]10-0.035d>4[/math]? Write a question that solving this problem could answer.
Use the distributive property to write an expression that is equivalent to each given expression.
[math]-3(2x-4)[/math]
[math]0.1(-90+50a)[/math]
[math]-7(-x-9)[/math]
[math]\frac{4}{5}(10y+\text{-}x+\text{-}15)[/math]
[size=150]Lin’s puppy is gaining weight at a rate of 0.125 pounds per day.  Describe the weight gain in days per pound.[/size]

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