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Daily Organizer MATH 2001 Fall 2017
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Week 1: Angles: relationships and problem solving
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Tuesday, August 15: Welcome to MATH 2001!

What is geometry?

What are angles and why do we have them?

What's a connection between angles and the eclipse next week?

What makes an angle big or small?
Thursday, August 17: If you have your book, please bring the class activities from section 10.1 to class.

Relating two ways to think about angles: Angle as two rays and the space between them; angle as an amount of turning

Angle at grade 4 in the Common Core

Making angles by folding paper and measuring angles with our paper "protractors"

Interesting angle relationships

angles formed by 2 lines in a plane

angles formed by 3 lines in a plane

can we explain these relationships?

CCSS Grade 4: An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “onedegree angle,” and can be used to measure angles.
Week 2: Angles: relationships and problem solving
Monday, August 21: Solar Eclipse! Woohoo, it was great!
Tuesday, August 22: Please bring the class activities from section 10.1 to class.
Interesting angle relationships:

angles formed by 2 lines in a plane: opposite angles

angles formed by 3 lines in a plane

can we explain these relationships?
Thursday, August 24: Please bring the class activities from section 10.1 to class.

Why do the angles in a triangle always add to 180 degrees?

What angle relationships can we discover when we walk around a triangle?

Angle problem solving
Week 3: Angles: relationships and problem solving
Tuesday, August 29: Please bring the class activities from section 10.1 to class.

Angle problem solving. Things we can use to help us solve angle problems:

The parallel postulate

Ideas about walking and turning

Add in extra lines

The sum of the angles in a triangle

Thursday, August 31: Please bring the class activities from sections 10.1 and 10.2 to class.

Angle problemsolving

Eratosthenes method for determining the circumference of the earth.
Week 4: Defining, constructing, and classifying shapes: circles, triangles, quadrilaterals, polygons
Tuesday, September 5: Please bring the class activities from section 10.3 to class.

What are circles mathematically?

Using circles to solve problems
Thursday, September 7: Please bring the class activities from section 10.4 to class.

How can we define and classify 2D shapes?
Week 5: Defining, constructing, and classifying shapes: circles, triangles, quadrilaterals, polygons
Tuesday, September 12: No class because of the storm. We will make up the class with an online assignment.
Thursday, September 14: Please bring the class activities from section 10.4 to class.

How can we define and classify various 2D shapes?

We use properties to categorize shapes

A category of shapes can be defined in different ways, using different sets of properties

Categories of shapes can have subcategories.

Week 6: Defining, constructing, and classifying shapes: circles, triangles, quadrilaterals, polygons
Tuesday, September 19: Please bring the class activities from section 10.4 to class.

Using short lists of properties to define categories of shapes: square, rectangle, rhombus, parallelogram, trapezoid

Classifying shapes in a hierarchy based on properties of the shapes

Constructing shapes with a compass and ruler: triangles and rhombuses
Thursday, September 21: Please bring the class activities from section 10.4 to class.

Test discussion

Constructing shapes:

using a compass and straightedge

by folding and cutting paper

by walking and turning (think: programming a robot!)

Week 7: Measurement; Area: moving and additivity principles
Tuesday, September 26: Please bring the class activities from sections 10.4 and 11.1 to class.

Constructing shapes

By folding and cutting paper

By walking and turning (think: programming a robot!)


Measurement and measurable attributes

What concepts are involved in length measurement?
Thursday, September 28: Please bring the class activities from section 11.1 to class.

Measurement and measurable attributes

What concepts are involved in length measurement?

What concepts are involved in area measurement?

Why can we find the area of a rectangle by multiplying two side lengths?
Week 8: Explaining and solving problems about area
Tuesday, October 3: Please bring the class activities from section 12.1 to class.

Area of a rectangle

By counting squares

Why can we find the area of a rectangle by multiplying two side lengths?


The moving and additivity principles about area

Applying the principles to determine areas

Thursday, October 5: Please bring the class activities from section 12.3 to class.

Finding areas of triangles in progressively sophisticated ways

Choosing the base and height of a triangle

Explaining why the area formula for triangles is valid
Week 9: Explaining and solving problems about area
Tuesday, October 10: Please bring the class activities from section 12.3 to class.

Explaining why the area formula for triangles is valid

Area problem solving
Thursday, October 12: Please bring the class activities from sections 12.3 and 12.4 to class.

Area problem solving

Areas of parallelograms

Why is there no formula for the area of a parallelogram that is only in terms of side lengths?

Developing and explaining an area formula for parallelograms and trapezoids

Week 10: Area of parallelograms, trapezoids, circles;
Tuesday, October 17: Please bring the class activities from sections 12.4 and 12.6 to class.

Areas of parallelograms and trapezoids

Developing and explaining area formulas for parallelograms and trapezoids

Using a paper towel roll to explain the area of a parallelogram!


How are the circumference and diameter of a circle related?
Thursday, October 19: Please bring the class activities from sections 12.6 to class.

Where does the area formula for circles come from?

Area problem solving

How can we find the area of an irregular shape?
Week 11: Perimeter versus area; The Pythagorean theorem;
Tuesday, October 24: Please bring the class activities from sections 12.7 and 12.8 to class.

Do we want some “group quizzes” instead of a third test??

Test discussion

How can we find the area of an irregular shape?

Area versus perimeter
Thursday, October 26: Please bring the class activities from sections 12.8 and 12.9 to class.

How are perimeter and area related for rectangles?

How are perimeter and area related for 2D shapes more generally?

Using area to find the side lengths of “tilted squares”

Group quiz
FALL BREAK Friday, October 27
Week 12: The Pythagorean theorem; Solid shapes: prisms, pyramids, cylinders, cones
Tuesday, October 31: BOO!!!! Please bring the class activities from section 12.9 to class.

Homework comment: r squared versus 2r

Group quiz (finish)

Using area to find the side lengths of “tilted squares”

Where does the Pythagorean theorem come from? Why is it true?
Thursday, November 2: Please bring the class activities from sections 13.1 and 13.2 to class.

Some basic 3D shapes: prisms, cylinders, pyramids, cones.

What are they?

What features do they have?

How can we make them?

Week 13: Volume: developing formulas, problem solving
Tuesday, November 7: Please bring the class activities from section 13.3 to class.

Next week's schedule. Group quizzes next week?

Volumes of prisms

Volumes of pyramids

Volume problem solving

Volume versus surface area
Thursday, November 9: Please bring the class activities from sections 13.3 and 13.4 to class.

Volume problem solving

Volume versus surface area
Week 14: Surface area and patterns/nets
Tuesday, November 14: Please bring the class activities from section 13.2 to class.

Problem solving with patterns and surface area of prisms, pyramids, and cylinders

Group quiz
Thursday, November 16: Please bring the class activities from section 13.2 to class.

Problem solving with patterns, surface area, and volumes of cones

Group quiz
THANKSGIVING BREAK: November 20  24
Week 15: Reasoning about similarity
Tuesday, November 28: Please bring the class activities from section 14.5 to class.

Similarity: mathematical similarity versus similarity in everyday language

How can we reason to solve problems about similar shapes?
Geogebra sketch: scaling in two directions https://ggbm.at/xAzE2Azi

a few more minutes on the group quiz
Thursday, November 30: Last day of class. Bring your questions. We will review material based on your question.