12/2/12 Math Journal

Relate your understanding of unit rate and proportionality to that of rate of change and slope. How are they similar and how do they differ? How can one use their understanding of unit rate and proportionality to interpret real world rate of change/slope problems presented in graphs.

Math Journal 10/26/12

Discuss what you have learned about the angles formed when two parallel lines are cut by a transversal. Describe the special angle relationships that appear, and how they are related to each other. Last week, you learned about complementary and supplementary angles. Discuss how these angle relationships do or do not play a role within the parallel lines and transversal. Finally, where might you see parallel lines cut by transversals in the real-world? How might knowing the angles location to each other help you in these real-world scenarios?

Math Journal 10/14/12

Describe your understanding of the Triangle Sum Theorem. What does it say about the angles of a triangle? How can you use the Triangle Sum Theorem to prove 3 angle measurements are the angles of a triangle? Can the theorem be used to prove that 3 angle measurements are not the angles of a triangle? Apply your understanding of the Triangle Sum Theorem to answer the following scenario. 

Triangle LMN is an obtuse triangle and m < L = 25 degrees. m < M is the obtuse angle, and its measure in degrees is a whole number. What is the largest m < N can be to the nearest whole degree?

10/5/12 Math Journal

What does it mean when you see the phrase “Not Drawn to Scale” next to a geometric image? What might happen if you use a measurement tool to solve this type of problem? When an image in not drawn to scale what is the best strategy one can use to solve the problem?

9/28/12 Math Journal

What have you learned thus far about similarity versus congruence? How do transformations that result in congruent images differ from transformations that result in similar images? What strategies can be used to trace the sequence of transformations, and how can the information you obtain from the sequence help you to prove if the original and final images are congruent or similar?

Math Journal 9/23/12

Journal: What have you learned this week about congruence and transformations? What properties (size, shape, orientation) of an image, if any, change when you perform each of the transformations studied this week? How does the orientation (location) change for each type of transformation? Where are some places in your world that you see transformations?

Journal: According to a compass rose this arrow is facing east. Explain how a reflection (flip) over the y-axis, a rotation (turn) counter-clockwise, and translation (slide) 4 units down would affect the direction of this arrow. Which direction according to a compass rose would the arrow be facing after each transformation?