Application for steemit learning challenge season 22//Learn algebra

I am grateful that Steemit team again provides me an opportunity to be an applicant for season 22 Steemit learning challange.I am happy that for this season I am applying as a teacher with a unique theme and I am enthusiastic that steemians will learn and enjoy season 22 with me!

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Brief history and stats

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My Steemit joining	In December 2022
Total Steemit experience	Around 23 months
Number of followers	117
Reputation	75.239
Voting CSI	5.8
Total SP	12,515

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Applying as a professional

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Professionally, I am a lecturer in private sector college of Pakistan.I did my MS in applied physics from University of engineering and technology.I have in depth knowledge about physics, mathematics as well as algebra.I have around 10 years of teaching experience.Below,my professional experiences can be seen in CV.

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Subject area I want to cover

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Subject area I want to cover is;
"Algebra"

With Algebra I have professional experience because in applied physics we learn about algebra like; Linear algebra is used in vectors, determinants as well as in eigenvalues.Equations are used in learning oscillation,waves, diffusion concepts etc.

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Six examples of weekly lessons

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Week 1 lesson

                             Variables and Expression

This course outline will be described as follows;

√ Defining variables and expressions in algebra
√ Identification of types of variables and expressions.
√ Evaluation of expressions by use of order of operations (PEMDAS).
√ Applications of variables and expressions to real-world problems.
√ Simplifying and solving algebraic expressions.

Expected homework task

• Differentiate independent variable and a dependent variable?
• Show your way of evaluating of an algebraic expression if values of variables are given? Step by step explaining required!
• This is an expression 3x - 2 when x = 5.Evaluate it!
• Make the following expression simplified 2(x + 3) + 1.

                            Equations and Inequalities

This course outline will be described as follows;

√ Defining equations and inequalities.
√ Identification of types of equations and inequalities.
√ Solving linear and non-linear equations and inequalities.
√ Applying algebraic methods for solving equations and inequalities.
√ Using calculators for solving equations and inequalities.

Expected homework task

• Differentiate equation and inequality?
• Explain steps involved to solve a linear equation. Differentiate steps if linear equations and quadratic equation?
• Here is an equation 3x - 2 = 11.Calculate value of x?
• By solving inequality 2x + 5 > 9.Share possible values of x?

Week 3 lesson

                            Equations and systems of equations

This course outline will be described as follows;

√ Defining systems of equations and their types.
√ Solving of linear and nonlinear systems of equations.
√ Applying substitution, elimination, and graphical methods.
√ Analyzing and interpreting solutions to systems of equations.
√ Modeling of real-world problems using systems of equations.

Expected homework task

• Differentiate linear system of equations and nonlinear system of equations?
• Explain substitution method to solve systems of equations. Differentiate substitution method from elimination method.
• By solving this system of equations 3x + 2y = 7 and x - 2y = -3. Tell values of x and y?
• By giving solutions for system of equations x^2 + y^2 = 9 and x + y = 3. Share values of x and y?

Week 4 lesson

                            Linear and quadratic equations

This course outline will be described as follows;

√ Defining of linear and quadratic equations.
√ Solving of linear equations by using addition, subtraction, multiplication, and division.
√ Solving of quadratic equations by using factoring, quadratic formula and graphing.
√ Identifying and applying different methods for solving linear and quadratic equations.
√ Applying linear and quadratic equations to real-world problems.

Expected homework task

• Differentiate linear equation and quadratic equation?
• Explain methodologies to solve quadratic equations.Share pros and cons of each method?
• Share solutions for linear equation 3x + 2 = 11 and show value of x?
• Give a solution for this quadratic equation x^2 + 2x - 6 = 0.

Week 5 lesson

                            Polynomials and rational expressions

This course outline will be described as follows;

√ Defining polynomial and rational expressions.
√ Adding, subtracting and multiplying polynomial expressions.
√ Simplifying of rational expressions by factoring and canceling.
√ Applying polynomial and rational expressions in real-world problems.
√ Solving equations that involves polynomial and rational expressions.

Expected homework task

• Differentiate polynomial expression and rational expression?
• Explain steps used in simplification of a rational expression.Explain some common factors required to be cancel out?
• Please add these polynomial expressions 3x^2 + 2x + 1 and 2x^2 - x - 3 and shared a resulting expression
• Show multiplication of polynomial expressions 2x + 3 and x - 2 with end result of resulting expression.

Week 6 lesson

                            Graphing and Conic sections

This course outline will be described as follows;

√ Graphing of linear, quadratic, and exponential functions.
√ Identifying and analyzing conic sections (circles, ellipses, parabolas, hyperbolas).
√ Writing equations for conic sections that give specified characteristics.
√ Solving problems that includes graphing and conic sections.
√ Applying graphing and conic sections in real-world problems.

Expected homework task

• Diffrentiate linear graph and quadratic graph?
• Explain various types of conic sections with examplifications of each type.
• Share graphing representation of following quation y = x^2 - 2x - 3 and now show vertex, axis of symmetry, and x-interception.
• Search out for equation of circle with center (2, 3) and radius 5. Write this equation in its standard form.

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Students assessment format

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Criteria	Status
Plagiarism 🆓	✅
AI 🆓	✅

Category	Remark
Task 1	/1.5
Task 2	/1.5
Task 3	/3
Task 4	/3
Post quality	1
Total grade	/10

Teacher's Observation

Task 1 review	-----
Task 2 review	-----
Task 3 review	-----
Task 4 review	-----

------Areas of improvement--------

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I am thankful in advance if Steemit team selects me among one of the teaching teams in Steemit learning challenge season 22 because I believe that users will learn a lot about algebra as it is one of unique and innovative topic!

Contact details

Discord ID	khursheedanwar#2159
Telegram	Khursheedanwar

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Thanks

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