SlideShare a Scribd company logo
1 of 31
Download to read offline
Day 1 Pythagorean Theorem with answers.notebook
1
June 06, 2016
Square Roots
Do Now:
Pythagorean
Theorem Day 1
HW
Review Packet #2 Due
Wednesday 6/8
Day 1 Pythagorean Theorem with answers.notebook
2
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
3
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
4
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
5
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
6
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
7
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
8
June 06, 2016
Day 1 Pythagorean Theorem with answers.notebook
9
June 06, 2016
Square Root of a Number:
Is one of the two equal factors of a squared
number.
a.) Find the square root of 16 based on the definition.
Square Root Symbol: √
Day 1 Pythagorean Theorem with answers.notebook
10
June 06, 2016
Square Root of a Number:
Is one of the two equal factors of a squared
number.
a.) Find the square root of 16 based on the definition.
Square Root Symbol: √
Day 1 Pythagorean Theorem with answers.notebook
11
June 06, 2016
12
= 1
22
= 4
32
= 9
42
= 16
52
= 25
62
= 36
72
 = 49
82
= 64
92
 = 81
102
= 100
112
 = 121
122
= 144
132
= 169
142
 = 196
152
 = 225
Perfect Squares
Day 1 Pythagorean Theorem with answers.notebook
12
June 06, 2016
Evaluate the following.
36 121
196
25
225
64
9
81
Day 1 Pythagorean Theorem with answers.notebook
13
June 06, 2016
Evaluate the following.
36 121
196
25
225
64
9
81
Day 1 Pythagorean Theorem with answers.notebook
14
June 06, 2016
Estimate each square root to the nearest whole number.
40
40
40
40
A.) What is the next perfect square that is greater than 40?
B.) What is the next perfect square that is less than 40?
C.) What are the square roots of the perfect squares?
D.) Which perfect square is closer to 40?
E.) Use a calculator to check your answer.
Day 1 Pythagorean Theorem with answers.notebook
15
June 06, 2016
Estimate each square root to the nearest whole number.
40
40
40
40
A.) What is the next perfect square that is greater than 40?
B.) What is the next perfect square that is less than 40?
C.) What are the square roots of the perfect squares?
D.) Which perfect square is closer to 40?
E.) Use a calculator to check your answer.
Day 1 Pythagorean Theorem with answers.notebook
16
June 06, 2016
The square of the length of the hypotenuse is
equal to the sum of the squares of the lengths
of the legs.
Brainpop Video.
Pythagorean Theorem
Day 1 Pythagorean Theorem with answers.notebook
17
June 06, 2016
The Pythagorean Theorem
Day 1 Pythagorean Theorem with answers.notebook
18
June 06, 2016
Formula
Diagram
Pythagorean Theorem Graphic Organizer
a2 
+ b2
  = c2
The longest side of the 
right triangle.  The side 
opposite the right angle. 
 ( c in the formula)
The two sides that form 
the right angle. ( a and b in 
the formula)
a
b
cThe square of the 
hypotenuse is equal to the 
sum of the squares of the 
lengths of the legs.
Pythagorean
Theorem
Hypotenuse:
Leg:
Day 1 Pythagorean Theorem with answers.notebook
19
June 06, 2016
Hypotenuse: The longest side of the right triangle,opposite
the right angle,letter "c" in the formula.
Legs: Two sides that form the right angle, letters
"a" and "b" in the formula.
Day 1 Pythagorean Theorem with answers.notebook
20
June 06, 2016
Below is a rectangle that is 24 centimeters long and 10
centimeters wide. How can we find the length of the
diagonal?
10cm
24cm
(not drawn to scale)
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
21
June 06, 2016
Below is a rectangle that is 24 centimeters long and 10
centimeters wide. How can we find the length of the
diagonal?
10cm
24cm
(not drawn to scale)
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
22
June 06, 2016
Think-Pair-Share Activity:
a2
+ b2
= c2
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
23
June 06, 2016
Think-Pair-Share Activity:
a2
+ b2
= c2
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
24
June 06, 2016
a2
+ b2
= c2
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
25
June 06, 2016
a2
+ b2
= c2
a2
+ b2
= c2
Day 1 Pythagorean Theorem with answers.notebook
26
June 06, 2016
E.) A checkerboard is 10 inches long on each side. What is the
length of the diagonal from one corner to another?
(Draw a diagram to help solve the problem)
10in
10in
Day 1 Pythagorean Theorem with answers.notebook
27
June 06, 2016
E.) A checkerboard is 10 inches long on each side. What is the
length of the diagonal from one corner to another?
(Draw a diagram to help solve the problem)
10in
10in
Day 1 Pythagorean Theorem with answers.notebook
28
June 06, 2016
Finding the diagonal of the SMARTboard
Day 1 Pythagorean Theorem with answers.notebook
29
June 06, 2016
BEFORE YOU LEAVE
Can the hypotenuse of a right triangle be
shorter than one the legs of that right
triangle? Explain your answer.
Day 1 Pythagorean Theorem with answers.notebook
30
June 06, 2016
Pythagorean
Theorem
Hypotenuse:
Leg:
Formula
Diagram
Pythagorean Theorem Graphic Organizer
a2
+ b2
= c2
The sum of the squares of
the legnth of the legs is
equal to the square of the
legnth of the hypotenuse!
Longest Side
Side opposites the right angle
Sides that form the right
angle ( Two Shorter sides)
a
b
c
Attachments
Calculator Demonstration.notebook

More Related Content

More from Erik Tjersland

Linear equations lesson 7 slope formula
Linear equations lesson 7 slope formulaLinear equations lesson 7 slope formula
Linear equations lesson 7 slope formulaErik Tjersland
 
Module 4.5 lesson 10 scale area
Module 4.5 lesson 10 scale areaModule 4.5 lesson 10 scale area
Module 4.5 lesson 10 scale areaErik Tjersland
 
Module 4.5 lesson 9 computing actual lengths
Module 4.5 lesson 9 computing actual lengthsModule 4.5 lesson 9 computing actual lengths
Module 4.5 lesson 9 computing actual lengthsErik Tjersland
 
Linear equations lesson 6 slope
Linear equations lesson 6 slopeLinear equations lesson 6 slope
Linear equations lesson 6 slopeErik Tjersland
 
Module 4.5 lesson 7 scale factor as a percent
Module 4.5 lesson 7 scale factor as a percentModule 4.5 lesson 7 scale factor as a percent
Module 4.5 lesson 7 scale factor as a percentErik Tjersland
 
Module 4.5 lesson 6 scale map
Module 4.5 lesson 6 scale mapModule 4.5 lesson 6 scale map
Module 4.5 lesson 6 scale mapErik Tjersland
 
Linear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical linesLinear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical linesErik Tjersland
 
Module 4.5 lesson 4 scale area problems
Module 4.5 lesson 4 scale area problemsModule 4.5 lesson 4 scale area problems
Module 4.5 lesson 4 scale area problemsErik Tjersland
 
Module 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawingsModule 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawingsErik Tjersland
 
Module 4.5 lesson 2 unit rate as the scale factor
Module 4.5 lesson 2 unit rate as the scale factorModule 4.5 lesson 2 unit rate as the scale factor
Module 4.5 lesson 2 unit rate as the scale factorErik Tjersland
 
Linear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equationsLinear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equationsErik Tjersland
 
Module 4.5 lesson 1 scale drawings
Module 4.5 lesson 1 scale drawingsModule 4.5 lesson 1 scale drawings
Module 4.5 lesson 1 scale drawingsErik Tjersland
 
Review for module 4 exam
Review for module 4 examReview for module 4 exam
Review for module 4 examErik Tjersland
 
Linear equations lesson 3 consecutive integers
Linear equations lesson 3 consecutive integersLinear equations lesson 3 consecutive integers
Linear equations lesson 3 consecutive integersErik Tjersland
 
14 mixed review with percents with answers
14   mixed review with percents with answers14   mixed review with percents with answers
14 mixed review with percents with answersErik Tjersland
 
Module 4 lesson 12 relative error
Module 4 lesson 12 relative errorModule 4 lesson 12 relative error
Module 4 lesson 12 relative errorErik Tjersland
 
Linear equations lesson 2 geometric word problems
Linear equations lesson 2 geometric word problemsLinear equations lesson 2 geometric word problems
Linear equations lesson 2 geometric word problemsErik Tjersland
 
Module 4 lesson 11 simplest interest
Module 4 lesson 11 simplest interestModule 4 lesson 11 simplest interest
Module 4 lesson 11 simplest interestErik Tjersland
 
Linear equations lesson 1 classifcation of solutions
Linear equations lesson 1 classifcation of solutionsLinear equations lesson 1 classifcation of solutions
Linear equations lesson 1 classifcation of solutionsErik Tjersland
 

More from Erik Tjersland (20)

Linear equations lesson 7 slope formula
Linear equations lesson 7 slope formulaLinear equations lesson 7 slope formula
Linear equations lesson 7 slope formula
 
Module 4.5 lesson 10 scale area
Module 4.5 lesson 10 scale areaModule 4.5 lesson 10 scale area
Module 4.5 lesson 10 scale area
 
Module 4.5 lesson 9 computing actual lengths
Module 4.5 lesson 9 computing actual lengthsModule 4.5 lesson 9 computing actual lengths
Module 4.5 lesson 9 computing actual lengths
 
Linear equations lesson 6 slope
Linear equations lesson 6 slopeLinear equations lesson 6 slope
Linear equations lesson 6 slope
 
Module 4.5 lesson 7 scale factor as a percent
Module 4.5 lesson 7 scale factor as a percentModule 4.5 lesson 7 scale factor as a percent
Module 4.5 lesson 7 scale factor as a percent
 
Module 4.5 lesson 6 scale map
Module 4.5 lesson 6 scale mapModule 4.5 lesson 6 scale map
Module 4.5 lesson 6 scale map
 
Linear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical linesLinear equations lesson 5 horizontal and vertical lines
Linear equations lesson 5 horizontal and vertical lines
 
Module 4.5 lesson 4 scale area problems
Module 4.5 lesson 4 scale area problemsModule 4.5 lesson 4 scale area problems
Module 4.5 lesson 4 scale area problems
 
Module 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawingsModule 4.5 lesson 3 computing actual lengths from scale drawings
Module 4.5 lesson 3 computing actual lengths from scale drawings
 
Module 4.5 lesson 2 unit rate as the scale factor
Module 4.5 lesson 2 unit rate as the scale factorModule 4.5 lesson 2 unit rate as the scale factor
Module 4.5 lesson 2 unit rate as the scale factor
 
Linear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equationsLinear equations lesson 4 graphing linear equations
Linear equations lesson 4 graphing linear equations
 
Module 4.5 lesson 1 scale drawings
Module 4.5 lesson 1 scale drawingsModule 4.5 lesson 1 scale drawings
Module 4.5 lesson 1 scale drawings
 
Review for module 4 exam
Review for module 4 examReview for module 4 exam
Review for module 4 exam
 
Linear equations lesson 3 consecutive integers
Linear equations lesson 3 consecutive integersLinear equations lesson 3 consecutive integers
Linear equations lesson 3 consecutive integers
 
14 mixed review with percents with answers
14   mixed review with percents with answers14   mixed review with percents with answers
14 mixed review with percents with answers
 
Module 4 lesson 13
Module 4 lesson 13Module 4 lesson 13
Module 4 lesson 13
 
Module 4 lesson 12 relative error
Module 4 lesson 12 relative errorModule 4 lesson 12 relative error
Module 4 lesson 12 relative error
 
Linear equations lesson 2 geometric word problems
Linear equations lesson 2 geometric word problemsLinear equations lesson 2 geometric word problems
Linear equations lesson 2 geometric word problems
 
Module 4 lesson 11 simplest interest
Module 4 lesson 11 simplest interestModule 4 lesson 11 simplest interest
Module 4 lesson 11 simplest interest
 
Linear equations lesson 1 classifcation of solutions
Linear equations lesson 1 classifcation of solutionsLinear equations lesson 1 classifcation of solutions
Linear equations lesson 1 classifcation of solutions
 

Recently uploaded

APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphThiyagu K
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajanpragatimahajan3
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room servicediscovermytutordmt
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...Pooja Nehwal
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Disha Kariya
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 

Recently uploaded (20)

APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room service
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 

Day 1 pythagorean theorem