What exactly is the meaning of the del symbol with an x next to it, as seen in Equation [1]?

The student is not able to solve a real-world problem by reasoning about the quantities.

Examples of Student Work at this Level The student attempts a computational strategy to solve the problem but misinterprets the conditions stated in the problem.

The student does not attempt to write an equation. Can you restate the problem in your own words? What are you asked to find? What information are you given? Can you explain how to determine the amount Elijah has paid so far? Instructional Implications Guide the student to determine the unknown quantity in the problem and represent it with a variable.

Explain the relationship among all quantities given or described. Ask the student to determine the total amount of money Elijah would pay after one, two, three, and four months of membership.

Assist the student in using these calculations to develop an equation that models the relationship among the quantities given in the problem. Provide additional opportunities to model relationships among quantities with equations. Examples of Student Work at this Level The student: Correctly uses a computational strategy to solve the problem and does not write an equation.

Correctly uses a computational strategy but writes an incorrect equation. If you represent it with a variable, can you write an equation that models the relationship among the quantities described in the problem?

Instructional Implications Work with the student on modeling relationships among quantities with equations. Ask the student to explicitly describe the meaning of any variables used in the equations. Emphasize the relationship between algebraic expressions and the quantities they represent in the context of the situations in which they arise.

Then guide the student to replace the varying quantity in parentheses with a variable to write the equation. Almost There The student is unable to use the equation to solve the problem.

Examples of Student Work at this Level The student writes the correct equation but then: Solves it incorrectly, such as combining unlike terms of 25 and 30m to get 55m. Writes mathematically incorrect statements while solving e.

Makes mathematical errors in the solution process. Questions Eliciting Thinking Can you solve your equation? What would the solution of your equation indicate about the answer to the question posed in this problem? Could you have written an equation without having solved the problem first?

Instructional Implications Explain to the student that writing and solving an equation is an effective strategy for solving mathematical problems.

In this problem, the objective in writing and solving the equation is to answer the question posed in the problem. Ask the student to solve his or her equation and explain what the solution means in the context of the problem.

Have the student explain the meaning of the variable in context and the significance of the solution in solving the word problem. Got It The student provides complete and correct responses to all components of the task. Examples of Student Work at this Level The student writes and solves an equation to determine Elijah paid for three months at the gym.

The student may use any variable when writing an equation such as:In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

An example of a polynomial of a single indeterminate, x, is x 2 − 4x + ashio-midori.com example in three variables is x 3 + 2xyz 2 − yz + 1.

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation .

Given the graph of an ellipse, find its equation, and vice versa. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept..

If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation . The Story Equation: How to Plot and Write a Brilliant Story from One Powerful Question (Brilliant Writer Series) - Kindle edition by Susan May Warren. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading The Story Equation: How to Plot and Write a Brilliant Story from One Powerful Question (Brilliant. A line has a slope of negative 3/4 and goes through the point 0 comma 8. What is the equation of this line in slope-intercept form?

So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line.

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Harris–Benedict equation - Wikipedia