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Transcript
Closing Questions – Geometry (with DOK – Depth of Knowledge – level)
Explain how you can show a conjecture is false. (DOK 2)
Explain the difference between a line and a segment. (DOK 2)
What makes a construction different from a drawing? (DOK 2)
Tell your partner how to find the perimeter of a rectangle. (DOK 1)
Why does a number line have lines at the ends? (DOK 1)
Name two points that are 7 units from -5 on the number line. (DOK 1)
Josh says that you get two obtuse angles after bisecting an angle. Brandon disagrees. Who is correct and why? (DOK 3)
Explain why an obtuse angle cannot have a compliment. (DOK 2)
Write a few sentences explaining why it is impossible for two perpendicular lines form exactly one right angle. (DOK 3)
Describe a real-world example or model of parallel lines. (DOK 2)
Explain why y=mx+b is called the slope-intercept form of the equation of a line. (DOK 2)
Is an equilateral triangle also an isosceles triangle? Explain why or why not. (DOK 3)
Is it possible to have two obtuse angles in a triangle? Write a few sentences explaining why or why not. (DOK 3)
Karen says that there is only one triangle with sides of 3inches, 4inches and 5inches. Mika says that there can be many different
triangles with those measures. Who is correct? Explain your reasoning. (DOK 3)
Compare and contrast altitudes and perpendicular bisectors. (DOK 2)
What kinds of angles are formed when you bisect an obtuse angle of a triangle? Explain. (DOK 1)
Write a few sentences explaining how you know you know whether a triangle is a right triangle if you know the lengths of the three
sides. (DOK 2)
If r<s and p<q, is it true that rp<sq? Explain. hint: look for a counterexample (DOK 3)
In an obtuse triangle, why is the longest side opposite the obtuse angle? (DOK 2)
As the measure of one angle in a triangle increases, what happens to the measure of the side opposite that angle? (DOK 2)
Draw three figures that are not quadrilaterals. Explain why each figure is not a quadrilateral. (DOK 2)
If the measure of one angle of a parallelogram increases, what happens to the measure of its adjacent angles so that the figure
remains a parallelogram? (DOK 3)
Eduardo says that every rhombus is a square. Teisha says that every square is a rhombus. Who is correct? Explain your reasoning.
(DOK 2)
Explain how the length of the median of a trapezoid is related to the lengths of the bases. (DOK 2)
Can a kite be a parallelogram? Explain your reasoning. (DOK 2)
Compare and contrast congruent polygons and similar polygons. (DOK 2)
Find a counterexample to the following statement. An exterior angle measure of any convex polygon can be found by dividing 360
by the number of interior angles. (DOK 1)
Carla says that if the area of a polygon is doubled, the perimeter also doubles. Kevin argues that this is not always the case. Who is
correct? Why? Draw some figures to support your answer. (DOK 2)
Make a conjecture about how the area of a trapezoid changes if the lengths of its bases and altitude are doubled. (DOK 3)
Explain why there are more than two radii in every circle. How many radii are there? (DOK 2)
Compare and contrast minor and major arcs. (DOK 2)
Explain the difference between lateral area and surface area. (DOK 1)
Darnell believes that doubling the radius of a cone increases the volume more than doubling the height. Nicole disagrees. Who is
correct? Explain. (DOK 2)
A cone and a cylinder have the same volume, and their radii have the same measure. What is true about these two solids? (DOK 2)
Describe real-world examples of five different solids. Write the formula used to find the volume of each type of solid. (DOK 2)
Explain why all cubes are similar to each other. Name another solid that is always similar to others in the category. (DOK 2)