# Writing linear equations from tables

How can a graph, a table, an equation or ordered pairs help you describe the relationship between two variables? Can you turn this expression into an equation? Explain that typically the value of the independent variable is freely chosen, but the value of the dependent variable is calculated for particular values of the independent variable.

Create equations that describe numbers or relationships. Place the curser in the Y column and push. Does anyone see a pattern? I expect that right away, at least one student will say "We need to know how tall you are Which variable is independent?

How should we measure the cup?

They should write in their own notebook or on the blank Answer Sheet included. But, they will only be given 4 cups to figure out an answer to this question.

How is graphing a linear equation from ordered pairs similar to graphing a linear equation using a table? Print single-sided copies and slide pages into plastic page protectors to keep problems and answers together. Show the student how to check each row and be certain the mathematical relationship is consistent for every input value.

Questions Eliciting Thinking Which variable is independent dependent? Practice using the equation to find values for Y by playing Red Rover where teams choose a person to come to their team to explain the rule and show how the new ordered pair was created by using that rule.

What happens to the test grade when the number correct on the test changes? Keep complete sets in order. Enter two or three more values in the X column.

Instructional Implications Review the terms dependent variable and independent variable. Prepare 2 or more complete sets of the activity to have enough pages for each pair of students in the class.

Instructional Implications Pair the student with a Moving Forward partner. Another option is for students to write in their own notebooks. If when this occurs, I will stack 18 cups to show students that that cup tower barely reaches my shin.

Instructional Implications Provide the student with some completed tables of values and guide him or her to recognize trends or patterns. You will need to discuss the minimum and maximum values to be shown for the x and y-axes, so their calculator graphs will look like the graphs on their worksheets.

How tall is the base? Can anyone create an equation for this situation? Challenge the student to write an equation to represent the relationship in the table and then create a real-world context that can be modeled by the equation.

Questions Eliciting Thinking How are the numbers on the left side of the table related to the numbers on the right side of the table? What happens to g when n increases by one?

Which variable is dependent? What would f 6 referred to in this situation? I begin by telling my students that their challenge is to figure out how many stacked styrofoam cups it would take to reach to the top of my head.

Records the operation instead of the complete equation. Guide the student to describe precisely, in mathematical terms, how to calculate a value of the dependent variable from a value of the independent variable.

Have students predict what they think the rule might be, and write that as an equation. What are the two important sections of the cup?

Do this for B, C, and D. Estimate the rate of change from a graph.representation (table, graph, or verbal description).

Graph a linear equation given an equation. SLOPE-INTERCEPT FORM y = m x + b m is the _____ b is the _____ Write the equation of a line given the slope and y-intercept. Write the equation of the line with the given slope and y-intercept. Writing Linear Equations Worksheets These Linear Equations Worksheets will produce problems for practicing writing linear equations from graphed lines.

These Linear Equations Worksheets are a good resource. Worksheet Level 2: Writing Linear Equations Goals: I have mastered level 2 when I can: Write an equation given the slope and y-intercept Write an equation from a table Write an equation in slope-intercept form for each table below.

Show how you found the slope and y. What is the slope represented in the table above? x. y.

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Writing linear equations from tables
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