Two-thirds of the cylinder is shaded. Some Basic Fraction Ideas Proper Fraction Each of the fractions in the examples on the previous page is called a proper fraction since the fraction represents a part of a single whole object. A proper fraction is a fraction in which the numerator is less than the denominator. Improper Fraction Sometimes we need to write fractions that have more than one whole object.

The student does not understand what it means to write an equivalent expression. Examples of Student Work at this Level The student: Substitutes a value for x and attempts to evaluate the expression.

Multiplies terms together and attempts to evaluate the expression. Questions Eliciting Thinking What is the difference between an expression and an equation? What is the difference between rewriting and solving? Are the terms 4x and 8 like terms?

What does it mean to factor an expression? Instructional Implications Explain the distinction between an expression and an equation.

Provide examples of each in both real-world and mathematical contexts. Adam is three years older than Mattie. If the sum of their ages is 51, how old is each? Review the terms variable, constant, and coefficient. Ask the student to identify examples of variables, constants, and coefficients in the expressions.

Then guide the student to use the information that the ages sum to 51 to write an equation.

Ask the student to identify expressions within the equation making clear the distinction between an expression and an equation. Provide additional opportunities for the student to write expressions and equations. Next use the Distributive Property to introduce the concept of factoring.

Emphasize that the Distributive Property can be used to both expand e. Provide additional opportunities for the student to rewrite linear expressions with rational coefficients in factored form using the fewest number of terms.

Guide the student to check factorizations by expanding and comparing to the original expression. Examples of Student Work at this Level The student combines like terms either correctly or incorrectly but does not factor the expression: How did you know which terms to combine?

What does it mean to factor? What is the Distributive Property?

Jun 18, · How to Simplify Algebraic Expressions In this Article: Article Summary Combining Like Terms Factoring Applying Additional Simplification Skills Community Q&A Learning how to simplify algebraic expressions is a key part of mastering basic algebra and an extremely valuable tool for all mathematicians to have under their yunusemremert.com: K. View Homework Help - polynomials-in-standard-and-factored-form from MATH N/A at durham school of the arts. Polynomials in Standard and Factored Form Name: _ A#_ Part One: Write each expression . Show transcribed image text Write an expression for the area of the shaded region and express it in factored form. (y - 2)^2 (y + 2)^2 (y + 2) (y - 2) y^2 + 4 List all numbers from the given set B that art members of the given Real Number subset.

How is it related to factoring? Almost There The student makes computational errors when calculating with coefficients and constants. Says the sum of and 9 is positive three. Questions Eliciting Thinking Which terms in the original expression are negative or contain a negative coefficient?

I think you made a mistake combining like terms. Can you check your work? How can you check your final answer to determine if it is equivalent to the original expression? Instructional Implications Provide direct feedback to the student regarding his or her error and allow the student to correct it.

Got It The student provides complete and correct responses to all components of the task. Examples of Student Work at this Level The student uses the fewest number of terms and correctly factors each expression. They are not next to each other in the expression.

In the second problem, how did you know that you could combine 3x and 6x? What property justifies this?Find an answer to your question Write an expression in factored form for the area a of the shaded region.

Mar 28, · Write an expression for the area of the shaded region & express it in factored form?Status: Resolved. Writing Polynomials in Standard Form When giving a final answer, you must write the polynomial in standard form.

Standard form means that you write the terms by descending degree. Simplify Trigonometric Expressions Questions With Answers.

Use trigonometric identities and formulas to simplify trigonometric expressions.

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The trigonometric identities and formulas in this site might be helpful to solve the questions below. Writing a polynomial in factored form when given the x-intercepts (zeros) of an equation, and their multiplicity: If a= coefficient, n 1 = first x-intercept (zero), n 2 = second x-intercept (zero), etc.

y = (x + 2)(4x + 3) Their are several methods to factorize polynomials. Here I have used splitting the middle term method. In this we split the middle term into two terms making the polynomial easily factorizable. The spiting should be done such that the product of the two middle terms should be equal to the product of coefficients of the x^2 and constant term.

y = 4x^2 +11x + 6 Terms would be.

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