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Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Topic: 3 Introduction
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
to Angles and Triangles
Days: 16
Grade(s):
Common Assessments on what students should know and do in this unit:
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Topic: 3 Introduction
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
to Angles and Triangles
Days: 16
Grade(s):
Key Learning: The defined and undefined terms in Geometry.
Unit Essential Question(s):
What makes a geometric figure undefined?
Concept:
Concept:
Concept:
Naming, Measuring, and
Classifying Angles
Special Angles
Angles of a Triangle
In this lesson, you will:
Identify and name lines, line segments, rays, and
angles.
measure angles
Classify angles
In this lesson, you will:
identify pairs of adjacent angles
identify complementary and supplementary angles
identify angles that are complementary and
supplementary to given angles
identify vertical angles
identify linear pairs
In this lesson, you will:
Name triangles
Find sums and measures of angles in triangles
Use the Triangle Sum theorem Use
the Exterior angle theorem Discover
the Exterior Angle Inequality
Lesson Essential Question(s):
How are rays, lines, and line segments
named, and can they be named in more
than one way? (A)
Lesson Essential Question(s):
What are adjacent, complementary,
supplementary, vertical, and linear angles?
(A)
Lesson Essential Question(s):
How can you use the Triangle Sum
Theorem and the exterior angle Theorems
to find the missing Angle? (A)
Vocabulary:
adjacent angles, Complementary Angles,
Supplementary Angles, Vertical angles,
opposite rays, Linear pair,
Vocabulary:
interior angle, theorem, Proof, Triangle Sum
Theorem, Exterior Angle, Exterior Angle
Theorem, Exterior Angle Inequality,
How are angles formed, named, classified,
and measured? (A)
(A)
Vocabulary:
point, line, line segment, endpoints, ray,
initial point, angle, vertex, sides, straight
angle, right angle, acute angle, obtuse
angle, measure of an angle, degrees,
congruent angles
Page 1 of 2
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Topic: 3 Introduction
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
to Angles and Triangles
Days: 16
Grade(s):
Concept:
Concept:
Classifying Triangles
The Triangle Inequality
Concept:
In this lesson, you will: Classify
triangles by angles Classify
triangles by side lengths
In this lesson, you will:
Use the Triangle Inequality
Investigate the relationship between the sides and
angles of triangles.
Lesson Essential Question(s):
What are the different ways to classify
triangles? (A)
Lesson Essential Question(s):
What is the Triangle Inequality? (A)
Lesson Essential Question(s):
(A)
Vocabulary:
Acute triangle, Right Angle, Obtuse angle,
Equiangular triangle, Equilateral Triangle,
Isosceles Triangle, Scalene triangle
Vocabulary:
Triangle Inequality
Vocabulary:
Additional Information:
Attached Document(s):
Page 2 of 2
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Vocab Report for Topic:
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
3 Introduction to Angles and Triangles
Days: 16
Grade(s):
Concept:
Naming, Measuring, and Classifying Angles
point has no length, width, or thickness but has a poisition. Named with a capital letter
line has length but no width or thickness. It extends without end in two directions. You can name a line
by identifying two points on the line. Capital letters with a line on top of it
line segment a portion of a line between two points called the endpoints.
endpoints the two points on the end of a line segment
ray a part of a line that consists of an initial point and all points on the line that lie on one side of the
initial point.
initial point The beginning point of a ray
angle a figure that is formed from two rays that extend from a common point called the vertex.
vertex a common point in an angle.
sides the rays of an angle
Page 1 of 5
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Vocab Report for Topic:
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
3 Introduction to Angles and Triangles
Days: 16
Grade(s):
straight angle An angle that has a measure of 180 degrees
right angle an angle that has a measure of 90 degrees
acute angle An angle that has a measure of less than 90 degrees
obtuse angle An angle that has a measure that is greater than 90 degrees
measure of an angle indicates the size of an angle
degrees the unit of measurement of angles
congruent angles Two angles that have the same measure
Concept:
Special Angles
adjacent angles Angles that share a common vertex and side.
Complementary Angles When two angles add together to equal 90 degrees.
Page 2 of 5
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Vocab Report for Topic:
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
3 Introduction to Angles and Triangles
Days: 16
Grade(s):
Supplementary Angles When two angles add together and equal 180 degrees.
Vertical angles Angles whose sides form two pairs of opposite rays
opposite rays Two rays on the same line that have the same initial point and extend in opposite directions.
Linear pair Two adjacent angles form a linear pair if the noncommon sides of the angles are opposite rays.
Concept:
Angles of a Triangle
interior angle the angles inside a triangle
theorem a statement that has been shown, or poven, to be true.
Proof The process of showing that a statement is true
Triangle Sum Theorem The sum of the interior angles of a triangle is 180 degrees
Exterior Angle -
Page 3 of 5
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Vocab Report for Topic:
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
3 Introduction to Angles and Triangles
Days: 16
Grade(s):
formed when one of the sides of a triangle is extended into a ray. An exterior angle of a triangle is
adjacent to an interior angle.
Exterior Angle Theorem the measure of an exterior angle of a triangle is equal to the sum of the measures of the two
nonadjacent interior angles.
Exterior Angle Inequality The measure of an exterior angle of a triangle is greater than the measure of either of the
nonadjacent interior angles.
Concept:
Classifying Triangles
Acute triangle this triangle can be classified by its interior angles, and all the interior angles are acute.
Right Angle this triangle can be classified by its interior angles, one of the angles is a right angle.
Obtuse angle this triangle can be classified by its interior angles, one of the angles is an obtuse angle.
Equiangular triangle A triangle in which all three interior angles have the same measure of 60 degrees.
Equilateral Triangle A triangle in which the sides all have the same length.
Isosceles Triangle -
Page 4 of 5
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Vocab Report for Topic:
Subject(s):
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
3 Introduction to Angles and Triangles
Days: 16
Grade(s):
a triangle in which at least two of the sides have the same length
Scalene triangle a triangle in which none of the sides have the same length
Concept:
The Triangle Inequality
Triangle Inequality The length of one side of a triangle is less than the sum of the lengths of the other sides of the
triangle.
Page 5 of 5
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Naming, Measuring, and Classifying Angles
Days: 16
Grade(s):
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How are rays, lines, and line segments named, and can they be named in more than one way?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Day 1: Students will complete Brainstorming to answer the following questions to prepare them for The
lesson. ? what is a constellation? Name a constellation that you know. What does the Big Dipper get its
name? Why is the constellation Orion called the hunter? Day 2: Computer Software
Key vocabulary to preview:
Day 1: Warm up from p. 113B Day 2: Computer Software
Teaching Strategies:
Instruction:
Day 1: Students will complete Lesson 3.1 in groups. Day 2: Computer Software
Assignment and/or Assessment:
Day 1: Day 2:
Summarizing Strategy:
Day 1: Day 2:
Time (in days):
2
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Naming, Measuring, and Classifying Angles
Days: 16
Grade(s):
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How are angles formed, named, classified, and measured?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Day 1: computer software Day 2: Motivator discussion from page 121 B What is the most famous bridge that
you have ever crossed? have you ever seen the Golden Gate Bridge in San Francisco, CA? What type of
bridge is the Golden Gate Bridge? What does a suspension bridge look like? what does a cable -stayed bridge
look like?
Key vocabulary to preview:
Day 1: Computer Software/Notes/formulas Day 2: Warm up from p. 121 B
Teaching Strategies:
Instruction:
Day 1: Comptuer software/notes Day 2: Lesson 3.2
Assignment and/or Assessment:
Day 1: NOTES/computer software Day 2: lesson 3.2 and student assignment 3.2
Summarizing Strategy:
Day 1: Computer Software Day 2: Draw a triangle formed by three intersecting lines on the board. Label the
12 angles formed. Have students volunteer to identify all the pairs of adjacent angles, supplementary angles,
vertical angles, and linear pairs.
Time (in days):
2
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Naming, Measuring, and Classifying Angles
Days: 16
Grade(s):
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
1
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Special Angles
Days: 16
Grade(s):
Curriculum:
Course:
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What are adjacent, complementary, supplementary, vertical, and linear angles?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Day 1: Motivator from page 129B How many sides does a triangle have? What is a galley kitchen? What
appliances are the most used in the kitchen? What does it mean to say "work triangle" when referring to a
kitchen? Do you have a galley, L-chaped, or U shaped kitchen? Day 2: computer software formulas/notes
Key vocabulary to preview:
Day 1: Warm up from page 129 B Day 2: Computer Software/notes/formulas
Teaching Strategies:
Instruction:
Day 1: lesson 3.3 Day 2: Computer software/notes/formulas
Assignment and/or Assessment:
day 1: lesson 3.3, Student Assignment 3.3 Day 2: computer Software/notes/formulas
Summarizing Strategy:
Day 1: Have different students to come up to the board and draw triangles with 3 acute angles, 2 acute angles
and one right angle, and two acute angles and one obtuse angle. Ask a student to draw triangles on the board,
extending their sides to form and identify external angles. Day 2: Computer Software/notes/formulas
Time (in days):
2
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Angles of a Triangle
Days: 16
Grade(s):
Curriculum:
Course:
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you use the Triangle Sum Theorem and the exterior angle Theorems to find the missing Angle?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
day 1: computer software/notes/formulas day 2: Motivator from Page 137B What is origami? Have you ever
made or watched someone make any origami objects/ Why do you think we are going to use origami today?
How will this help us classify triangles? with what types of triangles are you familiar?
Key vocabulary to preview:
Day 1: computer software/notes/formulas Day 2: Warm up from page 137 B
Teaching Strategies:
Instruction:
Day 1: Computer Software/notes/formulas Day 2: lesson 3.4
Assignment and/or Assessment:
Day 1: Computer Software/notes/formulas Day 2: lesson 3.4, Student Assignment 3.4
Summarizing Strategy:
Day 1: Computer Software/notes/formulas Day 2: Ask students to sketch a triangle and provide a possible set
of three angle measures for the four types of triangles that can be classified acording to their angle measure
Ask several students to sketch a triangle and provide a possible set of three side lengths fo the three types of
triangles that can be classified according to the lengths of their sides.
Time (in days):
2
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: Classifying Triangles
Days: 16
Grade(s):
Curriculum:
Course:
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What are the different ways to classify triangles?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
2
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept: The Triangle Inequality
Days: 16
Grade(s):
Curriculum:
Course:
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What is the Triangle Inequality?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Day 1: motivator from page 145B have you ever tried to put something together without reading the
directions? have you helped to build model airplanes or cars? have you ever helped build a shed or building?
did you have to plan before you started building? how did you know what materials to purchase or how
everything went togehter? Day 2: Computer software/notes/formulas day 3: Study guide for chapter 3 test day
4: Chapter three test
Key vocabulary to preview:
Day 1: Warm up from page 145B Day 2: Computer software Day 3: Study guide for chapter three test day 4:
chapter three test
Teaching Strategies:
Instruction:
Day 1: Lesson 3.5 Day 2: Computer software/notes/formulas day 3: study guide for chapter three Day 4:
Chapter three test
Assignment and/or Assessment:
Day 1: Lesson 3.5 and student assignment 3.5 day 2: computer software/notes/formulas day 3: study guide
chapter 3 day 4: Test chapter 3
Summarizing Strategy:
Day 1: Ask students to make up combinations of side lengths that do and do not make a triangle. Have the
students quiz one another as to whether the given side lengths form a triangle. day 2: computer software/
notes/formulas day 3: Study guide chapter 3 Day 4: Chapter 3 test
Time (in days):
5
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Topic: 3 Introduction to Angles and Triangles
Subject(s):
Concept:
Days: 16
Grade(s):
Curriculum:
Course:
5. Acquisition Lesson
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Page 1 of 1
Lincoln County Curriculum
Math- Geometry
Curriculum:
Course:
Topic: 3 Introduction
Subject(s):
to Angles and Triangles
LINCOLN COUNTY SCHOOL DISTRICT
Date: July 16, 2010 ET
Days: 16
Grade(s):
What is the most viable sequence for the experiences, activities, and lessons in order to help students learn to the best of their
abilities?
Put the Lesson Essential Questions, activities, and experiences in order.
Page 1 of 1