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APA
Subject:
Education
Type:
Coursework
Language:
English (U.S.)
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MS Word
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Total cost:
$ 26.73
Topic:
Lesson Preparation for Algebraic Equations and Word Problems
Coursework Instructions:
The following goals have been identified by the special education teacher collaborating with the general education math teacher for Fiona:
Simplify addition, subtraction, multiplication, and division equations [e.g., (2x + 6) + (4x + 7) = 6x + 13].
Solve expressions with variables (e.g., 3x = -24).
Write and solve the algebraic equation in a real-life word problem.
Part 1: Strategies
As the special education teacher, select two researched-based instructional strategies that could be used to help Fiona meet her identified goals.
Instructional strategies should include:
Explicitly teaching related vocabulary
The use of the concrete-representational-abstract strategies
Graphic organizers
Mnemonic devices
The use of assistive technology
In 250-500 words, summarize the recommended instructional strategies, rationalizing their appropriateness for Fiona’s goals and ability to help motivate Fiona to meet her goals. Include specific tips for implementation.
Part 2: 3 Day Unit Plan
Design a comprehensive mathematics unit plan based on the goals identified for Fiona. Outline three sequenced lesson plans, using the “3 Day Unit Plan Template.”
Your unit plan must include:
Appropriate augmentative and alternative communication systems and assistive technology to make the lesson content more accessible.
Integration of both formative and summative assessments to demonstrate mastery and support the generalization of learning for the student.
Integration of an appropriate ELA writing standard related to Fiona’s third identified goal.
Part 3: Home Connection
In 250-500 words, explain how you plan to involve Fiona’s parents in meeting her goals. Include a specific at-home activity to help in her continued success.
Coursework Sample Content Preview:
GCU College of Education LESSON UNIT PLAN TEMPLATE GCU College of Education LESSON UNIT PLAN TEMPLATE
Section 1: Lesson Preparation
Teacher Candidate Name: [Your Name]
Grade Level: [Fiona's Grade Level]
Unit/Subject: Algebraic Equations and Word Problems
Title of Unit and Brief Summary: Create a title for each lesson and 1-2 sentences summarizing the lesson, identifying the central focus based on the content and skills you are teaching.
* Day 1: Simplifying Equations - Students will learn how to simplify addition, subtraction, multiplication, and division equations.
* Day 2: Solving Expressions with Variables - Students will learn how to solve expressions with variables.
* Day 3: Real-life Word Problems - Students will learn how to write and solve algebraic equations in real-life word problems.
Classroom and Student Factors/Grouping: Describe the important classroom factors (demographics and environment) and student factors (IEPs,
504s, ELLs, students with behavior concerns, gifted learners), and the effect of those factors on planning, teaching, and assessing students to facilitate learning for all students. This should be limited to 2-3 sentences and the information should inform the differentiation components of the lesson.
The classroom consists of diverse learners, including students with IEPs, 504s, ELLs, students with behavior concerns, and gifted learners. Small group instruction and differentiation strategies will be employed to address individual needs and facilitate learning for all students.
Day 1
Day 2
Day 3
National/State
Learning Standards
List specific grade-level standards that are the focus of the lesson being presented.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.3: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.7: Solve linear equations in one variable.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.8: Analyze and solve pairs of simultaneous linear equations.
8.EE.8a: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs because points of intersection satisfy both equations simultaneously.
Specific Learning
Target(s)/Objectives
Based on state standards, identify what is intended to be measured in learning.
Simplify addition, subtraction, multiplication, and division equations.
Solve expressions with variables.
Write and solve algebraic equations in real-life word problems.
Academic Language General academic vocabulary and content-specific vocabulary included in the unit.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
Unit Resources, Materials, Equipment, and Technology
List all resources, materials, equipment, and technology to be used in the unit.
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
* Calculator (if allowed)
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
Calculator (if allowed)
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
Calculator (if allowed)
Depth of Knowledge
Lesson Questions
What questions can be posed throughout the lesson
to assess all levels of student understanding?
* Level 1: Recall
* Level 2: Skill/Concepts
* Level 3: Strategic Thinking
* Level 4: Extended Thinking
Level 1: Recall - What are the four basic arithmetic operations?
Level 2: Skill/Concepts - How do you simplify an equation by combining like terms?
Level 3: Strategic Thinking - Why is it important to simplify equations before solving them?
Level 4: Extended Thinking - How can simplifying equations help in real-life problem-solving?
Level 1: Recall - What is a variable in an algebraic expression?
Level 2: Skill/Concepts - How do you solve an expression with a variable?
Level 3: Strategic Thinking - When might you need to solve expressions with variables in real life?
Level 4: Extended Thinking - How can understanding expressions with variables help in other areas of math?
Level 1: Recall - What is a real-life word problem?
Level 2: Skill/Concepts - How do you write an algebraic equation for a word problem?
Level 3: Strategic Thinking - How can writing algebraic equations help you solve real-life problems?
Level 4: Extended Thinking - How can you apply the knowledge of algebraic equations to other subjects or situations?
Section 2: Instructional Planning
Day 1
Day 2
Day 3
Anticipatory Set
How will students’ prior knowledge be activated as well as gain student interest in the upcoming content?
Review basic arithmetic operations and discuss the importance of simplifying equations.
Connect the previous day's learning by discussing how simplifying equations can help solve expressions with variables.
Engage students with real-life examples where algebraic equations can be applied to solve word problems.
Presentation of Content
Multiple Means of
Representation
Describe how content will be presented in various wa...
Section 1: Lesson Preparation
Teacher Candidate Name: [Your Name]
Grade Level: [Fiona's Grade Level]
Unit/Subject: Algebraic Equations and Word Problems
Title of Unit and Brief Summary: Create a title for each lesson and 1-2 sentences summarizing the lesson, identifying the central focus based on the content and skills you are teaching.
* Day 1: Simplifying Equations - Students will learn how to simplify addition, subtraction, multiplication, and division equations.
* Day 2: Solving Expressions with Variables - Students will learn how to solve expressions with variables.
* Day 3: Real-life Word Problems - Students will learn how to write and solve algebraic equations in real-life word problems.
Classroom and Student Factors/Grouping: Describe the important classroom factors (demographics and environment) and student factors (IEPs,
504s, ELLs, students with behavior concerns, gifted learners), and the effect of those factors on planning, teaching, and assessing students to facilitate learning for all students. This should be limited to 2-3 sentences and the information should inform the differentiation components of the lesson.
The classroom consists of diverse learners, including students with IEPs, 504s, ELLs, students with behavior concerns, and gifted learners. Small group instruction and differentiation strategies will be employed to address individual needs and facilitate learning for all students.
Day 1
Day 2
Day 3
National/State
Learning Standards
List specific grade-level standards that are the focus of the lesson being presented.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.3: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.7: Solve linear equations in one variable.
Arizona Mathematics Standards for Algebra 1, Standard Strand 1: Create and manipulate equations, inequalities, and expressions that represent patterns or relationships between quantities.
8.EE.8: Analyze and solve pairs of simultaneous linear equations.
8.EE.8a: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs because points of intersection satisfy both equations simultaneously.
Specific Learning
Target(s)/Objectives
Based on state standards, identify what is intended to be measured in learning.
Simplify addition, subtraction, multiplication, and division equations.
Solve expressions with variables.
Write and solve algebraic equations in real-life word problems.
Academic Language General academic vocabulary and content-specific vocabulary included in the unit.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
General academic vocabulary: equation, variable, expression, simplify, solve.
Content-specific vocabulary: addition, subtraction, multiplication, division, word problems, algebraic equations.
Unit Resources, Materials, Equipment, and Technology
List all resources, materials, equipment, and technology to be used in the unit.
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
* Calculator (if allowed)
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
Calculator (if allowed)
* Textbook/worksheet with algebraic equations
* Graphic organizers
* Concrete-representational-abstract strategies
* Assistive technology (e.g., text-to-speech software)
* Whiteboard and markers
Calculator (if allowed)
Depth of Knowledge
Lesson Questions
What questions can be posed throughout the lesson
to assess all levels of student understanding?
* Level 1: Recall
* Level 2: Skill/Concepts
* Level 3: Strategic Thinking
* Level 4: Extended Thinking
Level 1: Recall - What are the four basic arithmetic operations?
Level 2: Skill/Concepts - How do you simplify an equation by combining like terms?
Level 3: Strategic Thinking - Why is it important to simplify equations before solving them?
Level 4: Extended Thinking - How can simplifying equations help in real-life problem-solving?
Level 1: Recall - What is a variable in an algebraic expression?
Level 2: Skill/Concepts - How do you solve an expression with a variable?
Level 3: Strategic Thinking - When might you need to solve expressions with variables in real life?
Level 4: Extended Thinking - How can understanding expressions with variables help in other areas of math?
Level 1: Recall - What is a real-life word problem?
Level 2: Skill/Concepts - How do you write an algebraic equation for a word problem?
Level 3: Strategic Thinking - How can writing algebraic equations help you solve real-life problems?
Level 4: Extended Thinking - How can you apply the knowledge of algebraic equations to other subjects or situations?
Section 2: Instructional Planning
Day 1
Day 2
Day 3
Anticipatory Set
How will students’ prior knowledge be activated as well as gain student interest in the upcoming content?
Review basic arithmetic operations and discuss the importance of simplifying equations.
Connect the previous day's learning by discussing how simplifying equations can help solve expressions with variables.
Engage students with real-life examples where algebraic equations can be applied to solve word problems.
Presentation of Content
Multiple Means of
Representation
Describe how content will be presented in various wa...
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