Apple Professional Development Session with Apple Education Trainer, Kyle Pearce. Learn about integrating the iPad in your Intermediate/Senior (Middle School/High School) Math Classroom. In this session, we will explore the idea of a 4-Part Math Lesson using the Stacking Papers 3 Act Math Tasks, explore ideas around Assessment and Evaluation as well as how you can do this more efficiently on iPad, Collaborative Inquiry, a new math tool called Mathspace, and how to make your math lessons visual using Keynote.
2015-16 GECDSB Middle Years Collaborative Inquiry Session 1Kyle Pearce
This document outlines an agenda for a professional development session on collaborative inquiry. It includes:
- Introductions of the presenters and an overview of the purpose and topics to be covered in the session
- Definitions and explanations of key terms like collaborative inquiry, engagement, and student learning needs
- Examples of collaborative inquiry questions and theories of action
- Discussions of challenges teachers have observed in the classroom and how collaborative inquiry could help address them
- Next steps like having teachers develop their own inquiry questions and sharing ideas with other schools
Slide deck from Session #2 from the 2015-16 Middle Years Collaborative Inquiry (MYCI) in Mathematics for the Greater Essex County District School Board in Windsor-Essex, Ontario, Canada.
The document is an "Ultimate Pinterest Planner" that provides monthly strategies and tips for using Pinterest to promote a business. Each month includes sections with suggestions on what types of content to pin based on trends, what to promote, ideas for content planning, a tip of the month, and action items. The goal is to help users strategically build their business on Pinterest throughout the year without feeling overwhelmed. It also provides space to track monthly statistics and includes introductions on how to get started and maximize results from the planner.
This math lesson teaches students how to add two-digit numbers. It provides two examples, showing how to line up the numbers in columns and carry digits when the sum is greater than 9. Key steps include lining up numbers in columns, adding right columns and carrying digits to the left column if needed, then adding the left column. Students are asked to practice an addition problem on their own and show their work before teaching the process to the class.
This document contains a series of math problems and games related to addition and subtraction. It asks the user to solve problems like 4+2 and 3+1, choose answers to problems like ?+3=6, and identify how many objects are hidden based on given totals. It also provides links to online math games related to addition, subtraction, and number skills.
This document discusses teaching mathematics using the model method. It begins by explaining the origins of the model method in Singapore, where it was developed in the 1980s to help students with word problems. The model method uses bars or boxes to represent quantities in word problems visually. It then provides examples of how the model method can be used to solve problems involving part-whole, comparison, and change concepts. Several lessons are outlined that teach students how to apply the model method by drawing diagrams and solving sample problems step-by-step.
The document provides a detailed lesson plan for a grade 4 mathematics class on adding and subtracting fractions. The lesson plan outlines objectives, subject matter, procedures used, and examples worked through step-by-step with the class. The key topics covered are: adding and subtracting fractions with similar and dissimilar denominators, as well as adding and subtracting mixed numbers with similar and dissimilar denominators. The teacher leads the class through examples of each process.
2015-16 GECDSB Middle Years Collaborative Inquiry Session 1Kyle Pearce
This document outlines an agenda for a professional development session on collaborative inquiry. It includes:
- Introductions of the presenters and an overview of the purpose and topics to be covered in the session
- Definitions and explanations of key terms like collaborative inquiry, engagement, and student learning needs
- Examples of collaborative inquiry questions and theories of action
- Discussions of challenges teachers have observed in the classroom and how collaborative inquiry could help address them
- Next steps like having teachers develop their own inquiry questions and sharing ideas with other schools
Slide deck from Session #2 from the 2015-16 Middle Years Collaborative Inquiry (MYCI) in Mathematics for the Greater Essex County District School Board in Windsor-Essex, Ontario, Canada.
The document is an "Ultimate Pinterest Planner" that provides monthly strategies and tips for using Pinterest to promote a business. Each month includes sections with suggestions on what types of content to pin based on trends, what to promote, ideas for content planning, a tip of the month, and action items. The goal is to help users strategically build their business on Pinterest throughout the year without feeling overwhelmed. It also provides space to track monthly statistics and includes introductions on how to get started and maximize results from the planner.
This math lesson teaches students how to add two-digit numbers. It provides two examples, showing how to line up the numbers in columns and carry digits when the sum is greater than 9. Key steps include lining up numbers in columns, adding right columns and carrying digits to the left column if needed, then adding the left column. Students are asked to practice an addition problem on their own and show their work before teaching the process to the class.
This document contains a series of math problems and games related to addition and subtraction. It asks the user to solve problems like 4+2 and 3+1, choose answers to problems like ?+3=6, and identify how many objects are hidden based on given totals. It also provides links to online math games related to addition, subtraction, and number skills.
This document discusses teaching mathematics using the model method. It begins by explaining the origins of the model method in Singapore, where it was developed in the 1980s to help students with word problems. The model method uses bars or boxes to represent quantities in word problems visually. It then provides examples of how the model method can be used to solve problems involving part-whole, comparison, and change concepts. Several lessons are outlined that teach students how to apply the model method by drawing diagrams and solving sample problems step-by-step.
The document provides a detailed lesson plan for a grade 4 mathematics class on adding and subtracting fractions. The lesson plan outlines objectives, subject matter, procedures used, and examples worked through step-by-step with the class. The key topics covered are: adding and subtracting fractions with similar and dissimilar denominators, as well as adding and subtracting mixed numbers with similar and dissimilar denominators. The teacher leads the class through examples of each process.
Tap Into Teen Minds in Math With iPad - EdTechTeacher Chicago Navy PierKyle Pearce
Embark on a journey of creating a digital learning environment in a secondary one-to-one iPad math class to effectively deliver a 4-part math lesson (modified from 3-part lesson) while eliminating wasted time copying useless facts. This approach has resulted in increased student engagement and high levels of student success. Positive results from the one-to-one iPad math classroom has led to the introduction of a One iPad Classroom model for instructional use through the Middle Years Collaborative Inquiry Project for intermediate teachers in 29 schools. Both one-to-one and One iPad Classroom models continue to grow as GECDSB educators strive to redefine digital learning in mathematics with iPad.
From introducing an effective One-to-Many iPad Classroom approach that will allow you to use your iPad as a wireless Interactive Whiteboard via AirPlay to going completely paperless by using cloud-based file storage solutions, you can be up and running with a sustainable model that works! Already one-to-one and looking for transformative tasks to help you and your students climb the SAMR Ladder? We will discuss a new free blogging network, MathBlogs.ca - a platform for teachers and students to share their math work to improve their math communication and develop a deep understanding of the concepts while interacting with their peers publicly. We won’t forget to look at how to make tasks in your class real and relevant for your students by including media rich resources prompting student discussion and engagement.
While technology can certainly make math tasks more meaningful and enjoyable, we will also explore how iPads can be used to collect useful student assessment as learning and assessment for learning data and organize it to allow students, teachers and parents to better understand urgent student learning needs and develop strategies for success.
Tap Into Teen Minds Paperless iPad Math Classroom - iPadpalooza SessionKyle Pearce
Thanks for allowing me to learn with you today at iPadpalooza as we explore some uses for Apple iPad/iOS and technology in the Mathematics Classroom! You can access other resources shared in this presentation here: http://tapintoteenminds.com/ipadpalooza
Topics in the presentation include how to go completely digital in math class using GoodNotes 4 on iPad, making math visual and real and other math tools to make your math class come alive!
2015-16 Middle Years Collaborative Inquiry (MYCI) Project Session #3Kyle Pearce
2015-16 Middle Years Collaborative Inquiry (MYCI) Project Session #3 Slide Deck for the Greater Essex County District School Board (GECDSB). Presented on Friday May 13th, 2016.
OTF Connect Webinar - Exploring Measurement and the 4-Part Math LessonKyle Pearce
Ontario Teachers Federation (OTF) Connect Webinar Session: Exploring Measurement and the 4-Part Math Lesson Slide Deck. Delivered via webinar on March 9th, 2015.
Making Math Contextual, Visual, and Interconnected Using TechnologyKyle Pearce
The document discusses strategies for improving mathematics education through contextual, visual, and interconnected instruction that utilizes technology. It advocates for making math relatable to students' lives and experiences, using visual representations and hands-on activities to demonstrate concepts, and showing how different math topics are interrelated rather than teaching them as isolated skills. The goal is to increase student engagement, confidence, and success in math.
Using iTunes U in Math Class - Prince Albert Grand CouncilKyle Pearce
Resource page for the Using iTunes U in Math Class professional development session delivered for the Prince Albert Grand Council in March 2015. http://tapintoteenminds.com
GECDSB Subject Specific PD - Gamifying Formative Assessment With Knowledgehoo...Kyle Pearce
This document discusses gamifying formative assessment with Knowledgehook gameshow. It provides information on various topics related to professional development including mathematics, student success initiatives, and educational Twitter accounts to follow. Key individuals from the school board are also listed. The rest of the document consists of slides from a presentation discussing balancing new and traditional teaching methods, conceptual vs procedural understanding in math, the school board's math vision framework, and the four stages of learning mastery.
Grab the slide deck from the 2014-15 Greater Essex County District School Board Middle Years Collaborative Inquiry (MYCI) in Mathematics Session #2 Professional Development Session.
3 Act Math Tasks include Stacking Paper,
Unpacking an Interactive 4-Part Math LessonKyle Pearce
This document describes a 4-part interactive math lesson plan consisting of definitions/procedures, examples, tasks, and consolidation. It provides an example lesson on sharing chocolates between 4 people. Students are asked to predict and calculate how many chocolates each person would receive. They then solve related problems to determine the number of each color chocolate. The lesson is designed according to a vision of math education that is interconnected, visual/concrete, and contextualized.
Integrating iPad in Math Class - Peel District School BoardKyle Pearce
This document summarizes Kyle Pearce's presentation on integrating iPads in mathematics. The presentation includes demonstrations of using iPads for digital note taking, interactive math lessons and activities, and math task deconstruction. It provides an agenda for the morning and afternoon sessions which cover topics like using the GoodNotes app, Desmos activities, and visible thinking tools. The goal is to show how iPads can be used to enhance math teaching and increase student success through effective teaching practices and transformational technology use.
This document outlines the agenda for a math session, including:
- Morning activities like a 3 act math task, iTunes U course, and a big idea team task
- Afternoon activities such as another 3 act math task, collaborative inquiry check-in, and a Desmos activity
- Links and resources for additional math tasks and Desmos activities
The document provides an itinerary and resources for teachers to engage students in interactive math lessons and discussions.
Making Math Contextual, Visual and Concrete with TechnologyKyle Pearce
1. The document discusses making math more engaging for students by making it more contextual, visual, and concrete.
2. It proposes teaching math in a way that shows how concepts are interconnected, using real world examples and hands-on activities.
3. The goal is to help students develop confidence in and positive perceptions of math, which can lead to greater student success.
Math is an important subject that is required for many areas of study and life. While many students struggle with math, online tutoring provides an easy way to get help from professional math tutors without leaving home. Students can find tutors through online portals, check their qualifications, and get assistance with math topics and homework assignments. These tutors use step-by-step explanations to help students understand concepts and solve problems in order to successfully complete their work.
Gamifying the Math Classroom With Standards Based GradingKyle Pearce
The document discusses assessment that is gamified with badges. It provides examples of using tools like Google Sheets and badges to create standard-based grading assessments. Teachers can create assessments in Google Sheets by adding headers, sheets, and using conditional formatting to highlight cells. Assessment results can be published to the web. The goal is to make assessment more engaging for students by incorporating game-like elements and badges.
AMATYC 39th Annual Conference Friday night Ignite Event: Twenty slides are automatically advanced every 15 seconds while the speakers have exactly five minutes to share their passion!
This document discusses mathematical skills and concepts in early childhood education. It covers how mathematics is used in everyday life, key areas of mathematics taught in early years frameworks, Piaget's stages of cognitive development and how they relate to mathematical learning, practical early mathematics skills, and the importance of understanding children's mathematical development and assessing their understanding to inform planning. The document emphasizes linking mathematics activities to children's experiences and ensuring all children feel confident in their mathematical abilities.
Digging Deep Into Ratios and Proportional Reasoning in the Middle Grades - NC...Kyle Pearce
The document discusses proportional relationships and ratios. It provides background on a symposium hosted by the Arizona Mathematics Partnership to clarify conceptual images related to ratios and proportional relationships from the Common Core State Standards. Dick Stanley is quoted as saying the CCSS approach to proportionality through proportional relationships and the constant of proportionality is remarkable and an improvement over previous approaches using ratios and proportions.
Day 1, Session 2 - The Progression of Multiplication and DivisionKyle Pearce
The document discusses progression of multiplication and division concepts through examples of doughnuts and splitting them between classes. It uses visual representations and step-by-step working to solve word problems involving multiplying and dividing large numbers. Interactive examples are provided to reinforce concepts like area, distributive property, and setting up multi-step word problems algebraically.
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Embark on a journey of creating a digital learning environment in a secondary one-to-one iPad math class to effectively deliver a 4-part math lesson (modified from 3-part lesson) while eliminating wasted time copying useless facts. This approach has resulted in increased student engagement and high levels of student success. Positive results from the one-to-one iPad math classroom has led to the introduction of a One iPad Classroom model for instructional use through the Middle Years Collaborative Inquiry Project for intermediate teachers in 29 schools. Both one-to-one and One iPad Classroom models continue to grow as GECDSB educators strive to redefine digital learning in mathematics with iPad.
From introducing an effective One-to-Many iPad Classroom approach that will allow you to use your iPad as a wireless Interactive Whiteboard via AirPlay to going completely paperless by using cloud-based file storage solutions, you can be up and running with a sustainable model that works! Already one-to-one and looking for transformative tasks to help you and your students climb the SAMR Ladder? We will discuss a new free blogging network, MathBlogs.ca - a platform for teachers and students to share their math work to improve their math communication and develop a deep understanding of the concepts while interacting with their peers publicly. We won’t forget to look at how to make tasks in your class real and relevant for your students by including media rich resources prompting student discussion and engagement.
While technology can certainly make math tasks more meaningful and enjoyable, we will also explore how iPads can be used to collect useful student assessment as learning and assessment for learning data and organize it to allow students, teachers and parents to better understand urgent student learning needs and develop strategies for success.
Tap Into Teen Minds Paperless iPad Math Classroom - iPadpalooza SessionKyle Pearce
Thanks for allowing me to learn with you today at iPadpalooza as we explore some uses for Apple iPad/iOS and technology in the Mathematics Classroom! You can access other resources shared in this presentation here: http://tapintoteenminds.com/ipadpalooza
Topics in the presentation include how to go completely digital in math class using GoodNotes 4 on iPad, making math visual and real and other math tools to make your math class come alive!
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Making Math Contextual, Visual, and Interconnected Using TechnologyKyle Pearce
The document discusses strategies for improving mathematics education through contextual, visual, and interconnected instruction that utilizes technology. It advocates for making math relatable to students' lives and experiences, using visual representations and hands-on activities to demonstrate concepts, and showing how different math topics are interrelated rather than teaching them as isolated skills. The goal is to increase student engagement, confidence, and success in math.
Using iTunes U in Math Class - Prince Albert Grand CouncilKyle Pearce
Resource page for the Using iTunes U in Math Class professional development session delivered for the Prince Albert Grand Council in March 2015. http://tapintoteenminds.com
GECDSB Subject Specific PD - Gamifying Formative Assessment With Knowledgehoo...Kyle Pearce
This document discusses gamifying formative assessment with Knowledgehook gameshow. It provides information on various topics related to professional development including mathematics, student success initiatives, and educational Twitter accounts to follow. Key individuals from the school board are also listed. The rest of the document consists of slides from a presentation discussing balancing new and traditional teaching methods, conceptual vs procedural understanding in math, the school board's math vision framework, and the four stages of learning mastery.
Grab the slide deck from the 2014-15 Greater Essex County District School Board Middle Years Collaborative Inquiry (MYCI) in Mathematics Session #2 Professional Development Session.
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This document describes a 4-part interactive math lesson plan consisting of definitions/procedures, examples, tasks, and consolidation. It provides an example lesson on sharing chocolates between 4 people. Students are asked to predict and calculate how many chocolates each person would receive. They then solve related problems to determine the number of each color chocolate. The lesson is designed according to a vision of math education that is interconnected, visual/concrete, and contextualized.
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This document summarizes Kyle Pearce's presentation on integrating iPads in mathematics. The presentation includes demonstrations of using iPads for digital note taking, interactive math lessons and activities, and math task deconstruction. It provides an agenda for the morning and afternoon sessions which cover topics like using the GoodNotes app, Desmos activities, and visible thinking tools. The goal is to show how iPads can be used to enhance math teaching and increase student success through effective teaching practices and transformational technology use.
This document outlines the agenda for a math session, including:
- Morning activities like a 3 act math task, iTunes U course, and a big idea team task
- Afternoon activities such as another 3 act math task, collaborative inquiry check-in, and a Desmos activity
- Links and resources for additional math tasks and Desmos activities
The document provides an itinerary and resources for teachers to engage students in interactive math lessons and discussions.
Making Math Contextual, Visual and Concrete with TechnologyKyle Pearce
1. The document discusses making math more engaging for students by making it more contextual, visual, and concrete.
2. It proposes teaching math in a way that shows how concepts are interconnected, using real world examples and hands-on activities.
3. The goal is to help students develop confidence in and positive perceptions of math, which can lead to greater student success.
Math is an important subject that is required for many areas of study and life. While many students struggle with math, online tutoring provides an easy way to get help from professional math tutors without leaving home. Students can find tutors through online portals, check their qualifications, and get assistance with math topics and homework assignments. These tutors use step-by-step explanations to help students understand concepts and solve problems in order to successfully complete their work.
Gamifying the Math Classroom With Standards Based GradingKyle Pearce
The document discusses assessment that is gamified with badges. It provides examples of using tools like Google Sheets and badges to create standard-based grading assessments. Teachers can create assessments in Google Sheets by adding headers, sheets, and using conditional formatting to highlight cells. Assessment results can be published to the web. The goal is to make assessment more engaging for students by incorporating game-like elements and badges.
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This document discusses mathematical skills and concepts in early childhood education. It covers how mathematics is used in everyday life, key areas of mathematics taught in early years frameworks, Piaget's stages of cognitive development and how they relate to mathematical learning, practical early mathematics skills, and the importance of understanding children's mathematical development and assessing their understanding to inform planning. The document emphasizes linking mathematics activities to children's experiences and ensuring all children feel confident in their mathematical abilities.
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Students will be able to explain the role and impact of Information and Communication Technology (ICT) in education. They will understand how ICT tools, such as computers, the internet, and educational software, enhance learning and teaching processes. By exploring various ICT applications, students will recognize how these technologies facilitate access to information, improve communication, support collaboration, and enable personalized learning experiences.
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-Students will be able to discuss what constitutes reliable sources on the internet. They will learn to identify key characteristics of trustworthy information, such as credibility, accuracy, and authority. By examining different types of online sources, students will develop skills to evaluate the reliability of websites and content, ensuring they can distinguish between reputable information and misinformation.
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4. Last Workshop
SAMR Ladder
GoodNotes 4
Google Drive / Google Calendar
Taco Cart [3 Act Math]
www.tapintoteenminds.com @MathletePearce
5. Last Workshop
Desmos Line Art
Cookie Cutter [3 Act Math]
DragonBox Algebra
MathBlogs.ca
www.tapintoteenminds.com @MathletePearce
6. Morning
4-Part Math
Stacking Paper [3 Act Math Task]
Growing Success & Assessment
Collaborative Inquiry in Math
www.tapintoteenminds.com @MathletePearce
7. Afternoon
Visualizing 2D & 3D Measurement
Mathspace
Visualizing Algebra - Pool Noodles
Visualizing Math With Keynote
www.tapintoteenminds.com @MathletePearce
8. 4 -Part Math Lesson
1. Minds On
2. Inquiry
3. Consolidation
4. Making Connections
www.tapintoteenminds.com @MathletePearce
39. Growing Success
7 Fundamental
Principles
www.tapintoteenminds.com @MathletePearce
40. 7 Fundamental
Principles
To ensure that assessment, evaluation,
and reporting are valid and reliable,
and that they lead to the improvement
of learning for all students, teachers
use practices and procedures that:
www.tapintoteenminds.com @MathletePearce
41. 7 Fundamental
Principles
“are carefully planned to relate to the
curriculum expectations and learning
goals…”
www.tapintoteenminds.com @MathletePearce
42. 7 Fundamental
Principles
“are communicated clearly to students
and parents at the beginning of the
school year or course and at other
appropriate points throughout the
school year or course;”
www.tapintoteenminds.com @MathletePearce
43. 7 Fundamental
Principles
“are ongoing, varied in nature, and
administered over a period of time to
provide multiple opportunities for
students to demonstrate the full range
of their learning;”
www.tapintoteenminds.com @MathletePearce
44. 7 Fundamental
Principles
“provide ongoing descriptive feedback
that is clear, specific, meaningful, and
timely to support improved learning
and achievement;”
www.tapintoteenminds.com @MathletePearce
45. 7 Fundamental
Principles
“develop students’ self-assessment
skills to enable them to assess their
own learning, set specific goals, and
plan next steps for their learning.”
www.tapintoteenminds.com @MathletePearce
53. Standard Based Grading
“…administered over a period of time to
provide multiple opportunities for
students to demonstrate the full range
of their learning;”
www.tapintoteenminds.com @MathletePearce
54. Promote Growth Mindset
Quickly identify
areas for growth
www.tapintoteenminds.com @MathletePearce
66. Publish to the Web
www.tapintoteenminds.com @MathletePearce
67.
68. Professional Learning Cycle
Through Collaborative Inquiry
SAMR Model
Progression
Effective
Instructional Practice
Embedding
Technology
www.tapintoteenminds.com @MathletePearce
69. What is
Collaborative
Inquiry?
Relevant Collaborative
Reflective Iterative
Reasoned Adaptive
Reciprocal
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70. Collaborative
inquiry is…
… an interative process in which teachers
collaborate to develop reasonable inquiry
questions by implementing research-based
strategies and reflecting on how they
impact relevant student learning needs in
the classroom.
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71. However…
“There is no prescribed protocol,
nor is there a single path.”
Capacity Building Series, Collaborative Inquiry
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73. Urgent Student
Learning Need
What is the most urgent student learning
need in your classroom?
What data sources do you have to
support this?
Is it related to content? Learning skill?
Both?
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74. Inquiry Question
Uses neutral, exploratory language
Begins with “how” or “what”
Clearly specifies the focus of your inquiry
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75. Theory of
Action
What will you do and what are the
expected outcomes?
Serves as a storyline for your inquiry
Written as a series of “if… then…”
statements
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81. Exemplar
Urgent Student Learning Need
Inability to demonstrate understanding of
algebra through multiple representations.
Inquiry Question
How will embedding animations of
algebraic concepts impact student ability
to show understanding in multiple ways?
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82. Exemplar
Theory of Action
If we embed short videos with animated
visualizations of algebraic concepts when
introducing new math concepts, then
student engagement will increase.
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83. Exemplar
Theory of Action
If student engagement increases during
the introduction of new algebraic conepts,
then students will be more likely to
remember their multiple representations.
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86. What’s the area of
this pool?
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87. The only tool we
have to measure
with is a pool
noodle.
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88. How many pool noodles
“squares” would it take
to cover the pool?
Area
A =
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89. How many pool noodles
“squares” would it take
to cover the pool?
Area
A =
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90. How many pool noodles
“squares” would it take
to cover the pool?
Area
A =
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91. n
n
n
n n
n
n
n n
n
n
n
n
n
n n n n
How many pool noodles
“squares” would it take
to cover the pool?
Area
A = 17n2
92. n
n
n
n n
n
n
n n
n
n
n
n
n
n n n n
How many pool noodles
“squares” would it take
to cover the pool?
Area
A = 17n2
n2
93. n
n
n
n n
n
n
n n
n
n
n
n
n
n n n n
How many pool noodles
“squares” would it take
to cover the pool?
Area
A = 17n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2
n2
94. n
n
n
n n
n
n
n n
n
n
n
n
n
n n n n
What is the area
if the length of a pool
noodle is 1.5 m?
Area
A = 17n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2
n2
95. n
n
n
n n
n
n
n n
n
n
n
n
n
n n n n
How can we simplify the
diagram using algebra
to save time and hassle?
Area
A = 17n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2
n2
96. 3n
5n n
n
n
3n
2n
4n
How can we simplify the
diagram using algebra
to save time and hassle?
Area
A = 17n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2 n2 n2
n2
n2
97. 3n
3n
5n n
4n
How can we simplify the
diagram using algebra
to save time and hassle?
2n
Area
A = 17n2
98. 3n
3n
5n n
4n
How can we simplify the
diagram using algebra
to save time and hassle?
2n
Area
15n2 A = 17n2
99. 3n
3n
5n n
4n
How can we simplify the
diagram using algebra
to save time and hassle?
2n
Area
15n2 A = 17n2
2n2
100. 3n
3n
5n n
4n
How can we simplify the
diagram using algebra
to save time and hassle?
2n
Area
15n2 A = 17n2
2n2
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