Basic Geometric Figures – Day 1 Intro to Geometry Basic Geometric Figures – Day 1

Agenda ENGAGEMENT DO NOW 5 min. CLOSURE 5 min. Complete a PRE – Test------------------------30 min Timed Show all your work! USE A PENCIL! Geometry Pictionary ( about 25 min) RULES--------------------------------------------2-5 min Student A draws-------------------------------5 min Student B draws-------------------------------5 min Discussion----------------------------------7 – 10 min Points, Lines and Planes ---------( about 30 min) Worksheet Power Point – Intro to Geometry ------20 min Compare answers ( partners ) ---------5 min. Discussion/Questions ( large group) --5 min. DO NOW 5 min. CLOSURE 5 min. Describe the diagram using the geometric language and symbols discussed in class today.

Objectives G-CO.A.1   Know precise definitions based on the undefined notions of point, line, distance along a line, and distance around a circular arc. 

Students communicate mathematic ideas effectively and efficiently. Student Outcomes    Students communicate mathematic ideas effectively and efficiently.  

DO NOW Find your name on your workbook. Some of your assigned seats have changed. The number written on your workbook is your calculator number. Get your calculator! Complete the assignment to the right ( 5 min.)

PRE-TEST You have 30 minutes to complete as many problems as you can. SHOW ALL YOUR WORK! USE A PENCIL! DO YOUR BEST WORK. YOU DO NOT HAVE TO COMPLETE EVERY PROBLEM. SKIP PROBLEMS YOU DO NOT KNOW HOW TO DO! You have 30 minutes to complete as many problems as you can.

PRE-TEST

PICTIONARY You will work with a partner. Determine who will be partner A and Who will be partner B You will each need: Pencil One piece of blank computer paper Position your desks back-to- back

RULES Drawer: You may not ask any questions. You may not look at the picture your partner has or any pic they may draw. You may only request that the direction be repeated. Caller You may not look at the drawing your partner is making You may not tell your partner if they are right or wrong. You may only describe the picture you are given. You may not draw any examples.

PICTIONARY

and detailed definitions? Why is it important to have precise and detailed definitions?

In order to communicate mathematic ideas effectively and efficiently.

EUCLID “father of geometry” a Greek mathematician, often referred to as the "founder of geometry"[1] or the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics(especially geometry) from the time of its publication until the late 19th or early 20th century. EUCLID “father of geometry”

 It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful[1][2] and influential[3] textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, THE ELEMENTS

Geometric Assumptions and Definitions

Geometric Assumptions (M1 p. S4) Facts and definitions we assume to be true. Through any two points there is exactly one line. Every plane contains at least three noncollinear lines To every pair of points, A and B, there corresponds a real number. Every line has a coordinate system. (ruler postulate)

Point Identifies a position in space. No length, width, or depth. Labeled using a single capital letter.

line - made up of points (has no thickness). Named by 2 points on the line or a lowercase script letter 𝑀𝑃 𝑃𝑀 𝑁𝑃 𝑃𝑁

plane - a flat surface made up of points. Named by a capital script letter or 3 noncollinear points in the plane Through any three noncollinear points there is exactly one plane.

ray - Part of a line Has an endpoint and extends indefinitely in one direction. Use 2 points to name a ray, starting with the endpoint 𝐴𝐶 𝐴𝐵

segment - part of a line with 2 endpoints Name using the 2 endpoints 𝐴𝐵 𝐵𝐴

BASIC VOCABULARY DEFINED TERMS

COPLANAR- two or more figures that lie in the same plane NONCOPLANAR – Two or more figures that are NOT in the same plane.

STANDARD NOTATIONS Module 1- Page 5

Check worksheet

CLOSURE Quick Review

EXIT SLIP Using the mathematical language discussed in class today, describe the figures you see below. B A

For any word that you do not know, complete a Frayer Model. STUDY SKILL! For any word that you do not know, complete a Frayer Model.

Frayer Model Formal definition In your own words WORD include any synonyms you may know graphic graphic