Unit 1 – Shapes & Designs – Math Notebook

Page 1 – Instructions for Unit Project
Page 2 – Idea Catcher for Unit Project
Page 3 – 1.1 Focus Question – must include date (8/30/21) and page number.

What properties do all polygons share? What properties do some subgroups of polygons share?

Some properties all polygons share – they all have straight lines, no curves. No lines intersect, and the figures are closed.

Some properties of SOME polygons – parallel sides (one set or more than one set), sides the same length, angles the same measure, acute, obtuse, or right angles.
Page 4 – “POLYGONS” Frayer model
Page 5 – 1.2 Focus Question – must include date (8/31/21) and page number

•What are some common benchmark angles? Each benchmark angle is equal to what part of a full turn?

(Each benchmark angle should be sketched and labeled)
Page 6 – 1.3 Focus Question – must include date (9/1/21) and page number

• When a drawing shows two rays with a common endpoint, how many rotation angles are there?  How would you estimate the measure of each angle?

(There are two angles, and students should draw a diagram and explain where each one is. Students should explain how to use the benchmark angles from page 5 to estimate the measure of an angle.)
Page 7 – 1.4 Focus Question – must include date (9/2/21) and page number

•How do you measure an angle with an angle ruler and a protractor?
Page 8 – 1.5 Focus Question – must include date (9/3/2021) and page number

•In a triangle, what measures of sides and angles gives just enough information to draw a figure that is uniquely determined?

(This means, how much information do I have to give you before there’s only one triangle you can draw. Page 23 of your textbook, part B, is helpful in answering this question.)
Page 9 – Chart of Angle Measurements from Lesson 2.1 (date 9/13/21 and page number)
Page 10 – 2.1 Focus Question – must include date (9/13/21) and page number

•What is the size of each angle and the
sum of all angles in a
★·.·´¯`·.·★ regular polygon ★·.·´¯`·.·★
with n sides?

(Answering this should include how many triangles you can make from each regular polygon (in other words, how many 180s are there in the shape?))

(Make sure you not only include instructions for finding the angle sum and angle measure, but also EXAMPLES of how to do it.)
Page 11 – 2.2 Focus Question – must include date (9/14/21) and page number

•What is the angle sum of *any polygon* with n sides? How do you know your formula is correct?
Page 12 – 2.3 Focus Question – must include date (9/17/21) and page number

•Which regular polygons can be used to tile a surface without overlaps or gaps? Why do some regular polygons tile and others do not?

A good answer has words AND pictures demonstrating what polygons tile and what one do not and WHY.
Page 13 – 2.4 Vocabulary – 9/21/21

Must have a picture and an explanation for each:
•Convex Polygon
•Concave Polygon
•Interior Angle
•Exterior Angle
Page 14 – 2.4 Focus Question – 9/21/21

What is an exterior angle of a polygon? What do you know about the measures of exterior angles? How do you know?

(Use words and diagrams to explain all parts of this question)
Page 15 – Labsheet 2.4 A (Question A) – 9/21/21
Page 16/17 – Properties of Polygons/Shapes Toolkit (9/24/21)
Page 18 – Triangles – find the value of x (9/24/21)
Page 19 – Polygon Angle Measures (9/24/21)
Page 20 – 3.1 Triangle Chart (9/27/21)
Page 21 – 3.1 Focus Question

• What combinations of three side lengths can be used to make a triangle? How many different shapes are possibe for such a combination of side lengths?

A good answer will have a rule (probably in words) for what side lengths will make a triangle, as well as a diagram or two.
Page 22 – 3.2 Focus Question

• What is the smallest number of side and angle measurements that will tell you how to draw an exact copy of any given triangle?
Page 23 – Unique Triangle or not? Chart
Page 24 – Quadrilateral side lengths – Chart
Page 25 – 3.3 Focus Question

• What combination of side lengths can be used to make a quadrilateral? How many different shapes are possible for any such combination of side lengths?
Page 26 – 3.4 Focus Question – When two parallel lines are cut by a transversal, what can be said about the eight angles that are formed?
Page 27 and 28 – Chart – types of symmetry
Page 29 – 3.5 Focus Question – How are squares, rhombuses, rectangles and trapezoids similar? How are they different?