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Mastering Algebraic Expressions and Rectangle Perimeter Problems

This lesson focuses on translating verbal expressions into algebraic expressions, specifically through guided practice using examples such as calculating the perimeter of a rectangle. Students will learn to manipulate expressions by applying operations such as multiplication, addition, and division. The session will include step-by-step instructions on how to identify terms, factors, and coefficients, as well as verifying solutions. By the end of the lesson, students will confidently find the width of a rectangle given its perimeter and the relationship between its length and width.

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Mastering Algebraic Expressions and Rectangle Perimeter Problems

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  1. Warm Up 8/6/14 Write each sentence as an expression: • Multiply n by 4, and then add 3 to your answer. • Add 3 to n, and then multiply your answer by 4. • Add 5 to n, and then divide your answer by 3. • Multiply n by n, and then multiply your answer by 5. 5. Multiply n by 5, and then square your answer.

  2. Guided Practice Example 3 A rectangle has a perimeter of 110 inches. The width of the rectangle is 9inches less than the length, What is the width, in inches, of the rectangle? 1.1.1: Identifying Terms, Factors, and Coefficients

  3. Guided Practice:Example 3, continued Translate the verbal expression into an algebraic expression. (Hint: use a drawn representation) 1.1.1: Identifying Terms, Factors, and Coefficients

  4. Guided Practice: Example 3, continued Simplify the expression and solve. The expression can be simplified by following the order of operations and combining like terms. 1.1.1: Identifying Terms, Factors, and Coefficients

  5. Guided Practice: Example 3, continued Check that you have answered the question. A rectangle has a perimeter of 110 inches. The width of the rectangle is 9 inches less than the length, What is the width, in inches, of the rectangle? We have solved for the length, how do we solve for width? 1.1.1: Identifying Terms, Factors, and Coefficients

  6. Guided Practice: Example 3, continued 4. Check your answer. Does the perimeter equal 110 inches? 1.1.1: Identifying Terms, Factors, and Coefficients

  7. Notecard Activity

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