Thinking With Mathematical Models Math CC7/8 – Be Prepared Journal: 4th and 6th Period: Date: 5/10/2019 Title: TWMM Practice Test #1 Test on May 21st! Warm Up: Turn in Inv. 3 and 4 Quiz if you haven’t already On Desk: Turn In: TWMM Inv. 3 and 4 Quiz with Corrections! In Your Planner: Polyptch Project-Due Monday May 20th Complete and Correct Practice Test #1-Due MONDAY NO TRACKING SHEET FOR THIS WEEK

TWMM Practice Test#1 Expectations: Calculator okay for #4 and #5 only Independently work on each question Work QUIETLY-low voices If you are stuck LOOK in your JOURNAL Still stuck? Ask someone in YOUR table group Finished? Correct it online for HW! Start working on your Polyptych Project

Thinking With Mathematical Models Math CC7/8 – Be Prepared Journal: 1st, 2nd, and 5th Periods Date: 5/10/2019 Polyptych Project Warm Up: Turn in TWMM Take Home Test if you haven’t already! On Desk: Turn In: TWMM Take Home Test with Corrections! In Your Planner: Polyptch Project-Due Monday, May 20th NO TRACKING SHEET FOR THIS WEEK

Can you find the angle of rotation? Your rotation piece must Exclusively be a rotation, and not mistaken as a reflection.

Square THREE: Rotational Symmetry This type of symmetry is based on a central point. The center line can be drawn from many different lines that cross through this center point and the symmetry remains intact. While some examples that are found in nature will have subtle inaccuracies, there are still plenty to look for. Natural examples are flowers such as daisies or sunflowers, sand dollars and cross sections of citrus fruit. Kaleidoscopes are also classic examples of radial symmetry.

To create rotational symmetry: Fold the paper in half. Turn 90 degrees and fold again. This creates your center point. Draw light guidelines from one side of the paper to the other through the center point to give a structure that is similar to that of a spider’s web. I recommend only 3-4 lines to keeping the sections large enough to add design. When a shape is added to one section, it must then be added to all the sections and should be the same size, shape and placement. If color is desired, then the rules of exact symmetry (like in square ONE) come back into play. The color is the same in each shape, in each section.

Can you see the direction and distance of translation?

Square FOUR: Translation Symmetry Translating an object means moving it without rotating or reflecting it. You can describe a translation by stating how far it moves an object, and in what direction. We see examples in nature when observing honey bee combs or scales on a fish.

To create translation symmetry: On your white piece of paper, draw a shape in the upper left-hand corner. The object can be symmetrical (like the honey comb hexagon) or asymmetrical (like the examples on page 19 of you textbook). Decide on a direction and distance for your translation (for example, 2.5 cm to the right). Translate your object your decided distance to the right, and then translate that new object to the right again. Continue until you come to the end of the page. Next, decide the angle in which your translation will slide to the next line. Measure and draw your object in its new position. Translate your object the decided distance to the right, and then translate that new object to the right again. Continue this process until the entire page is covered in your design.