SlideShare a Scribd company logo
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
1
May 27, 2014
Answers Problem Set Lesson 1
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
2
May 27, 2014
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
3
May 27, 2014
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
4
May 27, 2014
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
5
May 27, 2014
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
6
May 27, 2014
 
MODULE 5 Area, Surface Area, and Volume 
Problems
Topic A:  Area of Triangles, Quadrilaterals, and 
Polygons 
Lesson 2:  The Area of Right Triangles
Student Outcomes
§ Students jusfy the area formula for a right triangle by viewing the right triangle as part of a rectangle composed of two right triangles.
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
7
May 27, 2014
a = bh4cm
9cm
a =4cm
9cm
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
8
May 27, 2014
p. 7
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
9
May 27, 2014
 
MODULE 5 Area, Surface Area, and Volume 
Problems
Topic A:  Area of Triangles, Quadrilaterals, and 
Polygons 
Lesson 3:  The Area of All Triangles
Student Outcomes
§ Students show the area formula for a triangular region by decomposing a triangle into right triangles.  For a given triangle, the height of the triangle is the length of the 
altude.  The length of the base is either called the length base or, more commonly, the base.
§ Students understand that the height of the triangle is the perpendicular segment from a vertex of a triangle to the line containing the opposite side.  The opposite side is 
called the base.  Students understand that any side of a triangle can be considered a base and that the choice of base determines the height. 
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
10
May 27, 2014
Remember in Lesson 1......
How do we find the area of a rectangle?
How do we find the area of a parallelogram?
We needed to find the HEIGHT by making a
right angle with the base...
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
11
May 27, 2014
4cm
3cm 3cm
6cm
8cm
10cm
3cm
4cm
It was easy to
find the area of
a right triangle
because the side
was the height.
But what about these??
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
12
May 27, 2014
Notice that by drawing the altitude we have created two right triangles.
How can we calculate the area of the entire triangle?
1.
p. 11
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
13
May 27, 2014
 
MODULE 5 Area, Surface Area, and Volume 
Problems
Topic A:  Area of Triangles, Quadrilaterals, and 
Polygons 
Lesson 4:  The Area of All Triangles
Student Outcomes
§ Students construct the altude for three different cases:  an altude that is a side of a right angle, an altude that lies over the base, 
and an altude that is outside the triangle.
§ Students deconstruct triangles to jusfy that the area of a triangle is exactly one half the area of a parallelogram.
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
14
May 27, 2014
p. 15
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
15
May 27, 2014
p. 17
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
16
May 27, 2014
p. 17
Module 5 Lesson 2­4 Area of All Triangles Combined.notebook
17
May 27, 2014
Closing
Please take out your exit ticket for Lesson 2,3,4, close your
binder, and complete the exit ticket. This will be collected.
§ How are the area formulas of rectangles and right triangles related?
ú Every type of triangle fits inside exactly half of a rectangle that has the 
same base and height lengths.
§ When a triangle is not a right triangle, how can you determine its base and 
height?
ú The height of a triangle is the length of the altude.  The altude is the line 
segment from a vertex of a triangle to the line containing the opposite side (or 
the base) that is perpendicular to the base.
§ Why does the area formula for a triangle work for every triangle?
ú Every type of triangle fits inside exactly half of a rectangle that has the 
same base and height lengths.

More Related Content

PDF
Module 4 lesson 13
PDF
Module 4 lesson 10 simple interest
PDF
Module 5 lesson 1
PDF
Module 4 lesson 8 tax gratuity commission
PDF
Module 4 lesson 12 relative error
PDF
Module 1 lesson 15 multi step ratio problems
PDF
Module 4 lesson 9 tax gratuity commission
PDF
Module 4 lesson 2 percent equations
Module 4 lesson 13
Module 4 lesson 10 simple interest
Module 5 lesson 1
Module 4 lesson 8 tax gratuity commission
Module 4 lesson 12 relative error
Module 1 lesson 15 multi step ratio problems
Module 4 lesson 9 tax gratuity commission
Module 4 lesson 2 percent equations

What's hot (7)

PDF
Module 4 lesson 6 markup and discount
DOCX
Sample of-detailed-lesson-plan-grade-3 (1)
PDF
Module 4 lesson 7 markup and discount
PDF
Module 4.5 lesson 10 scale area
PDF
Module 4.5 lesson 2 unit rate as the scale factor
PDF
Module 4.5 lesson 4 scale area problems
PDF
Review for module 4 exam
Module 4 lesson 6 markup and discount
Sample of-detailed-lesson-plan-grade-3 (1)
Module 4 lesson 7 markup and discount
Module 4.5 lesson 10 scale area
Module 4.5 lesson 2 unit rate as the scale factor
Module 4.5 lesson 4 scale area problems
Review for module 4 exam
Ad

Viewers also liked (7)

DOCX
G6 m4-h-lesson 32-s
DOCX
G6 m4-e-lesson 17-t
DOCX
How to create your own math blog revised
DOCX
G6 m3-c-lesson 19-t
DOCX
G6 m3-c-lesson 16-t
PDF
Module 3 lesson 18
DOCX
G6 m4-f-lesson 19-s
G6 m4-h-lesson 32-s
G6 m4-e-lesson 17-t
How to create your own math blog revised
G6 m3-c-lesson 19-t
G6 m3-c-lesson 16-t
Module 3 lesson 18
G6 m4-f-lesson 19-s
Ad

Similar to Module 5 lesson 2 4 (20)

DOCX
G6 m5-a-lesson 3-t
DOCX
G6 m5-a-lesson 3-t
DOCX
G6 m5-a-lesson 4-t
DOCX
G6 m5-a-lesson 4-t
DOCX
G6 m5-a-lesson 2-t
DOCX
G6 m5-a-lesson 2-t
PDF
Module 5 lesson 5
DOCX
G6 m5-a-lesson 4-s
PPT
Lesson 3 -_parallelograms_kites_trapeziums
DOCX
DOCX
GEOMETRY.DOCX
PPTX
MENSURATION
PPTX
Surface Area And Volume
PPT
Lesson proper area of triangle
PPTX
Maths project
PDF
How to calculate the area of a triangle
PPTX
Triangles
PPTX
Area of SAS Triangles.pptx
PPSX
Geometry Vocabulary and Formulas
PPSX
Geometry Vocabulary and Formulas
G6 m5-a-lesson 3-t
G6 m5-a-lesson 3-t
G6 m5-a-lesson 4-t
G6 m5-a-lesson 4-t
G6 m5-a-lesson 2-t
G6 m5-a-lesson 2-t
Module 5 lesson 5
G6 m5-a-lesson 4-s
Lesson 3 -_parallelograms_kites_trapeziums
GEOMETRY.DOCX
MENSURATION
Surface Area And Volume
Lesson proper area of triangle
Maths project
How to calculate the area of a triangle
Triangles
Area of SAS Triangles.pptx
Geometry Vocabulary and Formulas
Geometry Vocabulary and Formulas

More from mlabuski (20)

DOC
Quiz week 1 & 2 study guide
DOC
Quiz week 1 & 2 practice
DOCX
Welcome to social studies
PDF
Team orion supply list 15 16
DOC
Literature letter graphic organizer
PDF
Team orion supply list 15 16
DOC
Literature letters revised
PDF
Final exam review sheet # 2 2015
PDF
Final exam review sheet # 3 2015
PDF
Final exam review sheet # 1 2015
DOCX
Lessons 12 13 merged
PDF
Mod 5 lesson 12 13
DOCX
G6 m5-c-lesson 13-t
DOCX
G6 m5-c-lesson 13-s
DOCX
G6 m5-c-lesson 12-t
DOCX
G6 m5-c-lesson 12-s
PDF
Mod 5 lesson 9
DOCX
G6 m5-b-lesson 9-t
DOCX
G6 m5-b-lesson 9-s
PDF
Mod 5 lesson 8
Quiz week 1 & 2 study guide
Quiz week 1 & 2 practice
Welcome to social studies
Team orion supply list 15 16
Literature letter graphic organizer
Team orion supply list 15 16
Literature letters revised
Final exam review sheet # 2 2015
Final exam review sheet # 3 2015
Final exam review sheet # 1 2015
Lessons 12 13 merged
Mod 5 lesson 12 13
G6 m5-c-lesson 13-t
G6 m5-c-lesson 13-s
G6 m5-c-lesson 12-t
G6 m5-c-lesson 12-s
Mod 5 lesson 9
G6 m5-b-lesson 9-t
G6 m5-b-lesson 9-s
Mod 5 lesson 8

Recently uploaded (20)

PDF
Keppel_Proposed Divestment of M1 Limited
PDF
THE COMPLETE GUIDE TO BUILDING PASSIVE INCOME ONLINE
PDF
Introduction to Generative Engine Optimization (GEO)
PDF
Charisse Litchman: A Maverick Making Neurological Care More Accessible
PPTX
Negotiation and Persuasion Skills: A Shrewd Person's Perspective
PPTX
Astra-Investor- business Presentation (1).pptx
PPTX
TRAINNING, DEVELOPMENT AND APPRAISAL.pptx
PPTX
interschool scomp.pptxzdkjhdjvdjvdjdhjhieij
PDF
Digital Marketing & E-commerce Certificate Glossary.pdf.................
PPTX
svnfcksanfskjcsnvvjknsnvsdscnsncxasxa saccacxsax
PDF
How to Get Business Funding for Small Business Fast
PDF
Technical Architecture - Chainsys dataZap
PDF
Cours de Système d'information about ERP.pdf
PDF
Satish NS: Fostering Innovation and Sustainability: Haier India’s Customer-Ce...
PDF
Daniels 2024 Inclusive, Sustainable Development
PDF
Robin Fischer: A Visionary Leader Making a Difference in Healthcare, One Day ...
PPTX
Principles of Marketing, Industrial, Consumers,
PPTX
operations management : demand supply ch
PDF
PMB 401-Identification-of-Potential-Biotechnological-Products.pdf
PPT
Lecture 3344;;,,(,(((((((((((((((((((((((
Keppel_Proposed Divestment of M1 Limited
THE COMPLETE GUIDE TO BUILDING PASSIVE INCOME ONLINE
Introduction to Generative Engine Optimization (GEO)
Charisse Litchman: A Maverick Making Neurological Care More Accessible
Negotiation and Persuasion Skills: A Shrewd Person's Perspective
Astra-Investor- business Presentation (1).pptx
TRAINNING, DEVELOPMENT AND APPRAISAL.pptx
interschool scomp.pptxzdkjhdjvdjvdjdhjhieij
Digital Marketing & E-commerce Certificate Glossary.pdf.................
svnfcksanfskjcsnvvjknsnvsdscnsncxasxa saccacxsax
How to Get Business Funding for Small Business Fast
Technical Architecture - Chainsys dataZap
Cours de Système d'information about ERP.pdf
Satish NS: Fostering Innovation and Sustainability: Haier India’s Customer-Ce...
Daniels 2024 Inclusive, Sustainable Development
Robin Fischer: A Visionary Leader Making a Difference in Healthcare, One Day ...
Principles of Marketing, Industrial, Consumers,
operations management : demand supply ch
PMB 401-Identification-of-Potential-Biotechnological-Products.pdf
Lecture 3344;;,,(,(((((((((((((((((((((((

Module 5 lesson 2 4