aidemia--modules-lessonplan_request	Titles of parts of the lesson must be formatted as headings
What to create	Lesson plan
Which subject	Mathematics
What topic	1.1 EVALUATING ALGEBRAIC EXPRESSIONS
What length (min)	45
What age group	Year or Grade 6
Include homework
Include images descriptions
Any other preferences	Find Area of each Geometric Figure, Order of Operation

Lesson Plan: 1.1 Evaluating Algebraic Expressions

Grade Level: 6

Subject: Mathematics

Duration: 45 Minutes

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Objective

Students will learn how to evaluate algebraic expressions using substitution, the order of operations, and apply these skills to find the area of geometric figures.

Learning Standards

• CCSS.MATH.CONTENT.6.EE.A.2
• CCSS.MATH.CONTENT.6.G.A.1

Materials

• Whiteboard and markers
• Worksheets with practice problems
• Graph paper for geometric figures
• Calculators (optional)
• {The image of a colorful poster showing the order of operations (PEMDAS) with examples.}

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Introduction (5 minutes)

Begin the lesson by introducing what algebraic expressions are. Explain that an algebraic expression is a combination of numbers, variables, and operations. Provide a few examples such as:

• 3x + 4
• 2(a + b)

Direct Instruction (15 minutes)

1. Evaluating Expressions
   Explain how to evaluate an expression by substituting values for variables. Use the following example:

   • Evaluate 2x + 3 when x = 5.
   • Solution: 2(5) + 3 = 10 + 3 = 13.

2. Order of Operations
   Introduce the order of operations using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

   • Provide an example:
   • Evaluate 3 + 6 × (5 + 4) ÷ 3 - 7.
   • Solution: 3 + 6 × 9 ÷ 3 - 7 = 3 + 54 ÷ 3 - 7 = 3 + 18 - 7 = 14.

3. Finding Area of Geometric Figures
   Discuss how to find the area of various geometric shapes and how to express these areas algebraically. Cover:

   • Rectangle: ( A = l \times w )
   • Triangle: ( A = \frac{1}{2} \times b \times h )
   • Circle: ( A = \pi r^2 )
   • Provide examples for each shape, substituting given values to evaluate the area.

   {The image of different geometric figures such as a rectangle, triangle, and circle, with their formulas and example values noted.}

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Guided Practice (10 minutes)

Distribute the worksheet with the following tasks:

1. Evaluate the following expressions:
   a. ( 4y - 2 ) when ( y = 3 )
   b. ( 5(a + 7) ) when ( a = 2 )
2. Calculate the area:
   a. Rectangle with length 6 and width 4
   b. Triangle with a base of 8 and height of 5

Work through the first question as a class to model the process.

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Independent Practice (10 minutes)

Students will complete the remaining problems on the worksheet independently. Circulate the room to provide support as needed.

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Conclusion (5 minutes)

Review key concepts covered in the lesson:

• What algebraic expressions are and how to evaluate them.
• The order of operations and its importance.
• How to find the area of geometric figures and represent it as an algebraic expression.

Ask students if they have any questions, and summarize the lesson.

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Homework Assignment

1. Evaluate the following expressions:
   a. ( 7x + 2 ) when ( x = 4 )
   b. ( 3(m - 5) ) when ( m = 10 )

2. Calculate the area:
   a. A rectangle with length 12 and width 5
   b. A triangle with a base of 6 and height of 4

Correct Answers:

1. a. ( 7(4) + 2 = 28 + 2 = 30 )
   b. ( 3(10 - 5) = 3(5) = 15 )

2. a. Area of Rectangle: ( 12 \times 5 = 60 )
   b. Area of Triangle: ( \frac{1}{2} \times 6 \times 4 = 12 )

{The image of a homework checklist underlining key areas of focus, like solving algebraic expressions and calculating areas.}

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End of Lesson Plan.