Say: Now, let's locate the ordered pairs on the grid.Students should make the connection to the y-axis. Ask: What do you think this line is called?.Point to the vertical line on the grid.Point to the horizontal line on the grid.Let's take a closer look at the different parts of the grid. (Point to the grid you made.) This grid is called a coordinate grid. Say: Now we're going to graph the equation x + 5 = y on a grid.When they are finished, record the ordered pairs in the table publicly for the class. Ask: What is the first number we used for x? (1) What is the first number we calculated for y? (6) So, what is the first ordered pair? (1,6).These numbers are called the x- and y-coordinates. Therefore, the first number in an ordered pair is a value for x, and the second number is a value for y. Label the fourth column of your table "Ordered Pairs." Remind students that when they locate points on a grid, they first move right on the x-axis, then up on the y-axis. Say: Let's write ordered pairs using the values of x and y.Then ask for a volunteer to complete the table publicly for the class. Have students complete the first three columns of their tables on their own. Continue to replace x with 2, 3, then 4.Write "1 + 5" in the second column below " x + 5." Then write "6" in the third column below y. Ask: What happens to the equation if we replace x with 1? Elicit from students the equation 1 + 5 = 6.Label the first column x, the second column x + 5, and the third column y. Draw a table with four columns and five rows.Students should say that the equation means "a number plus five equals another number," or a comparable statement. Ask: How could you say this equation in words?.Write the equation x + 5 = y publicly for the class to see.They should also be able to recognize and interpret an equation. Prerequisite Skills and Concepts: Students should know about ordered pairs and locating points on a grid. Ensure all students have a copy of the grid. Label the x- and y-axes from 0 through 10. Preparation: Draw a coordinate grid where all students can see it. Materials: Poster paper or a way to display a coordinate grid publicly for the class straightedge one copy of a coordinate grid, a straightedge, and lined paper for each student Key Standard: Interpret an equation as a linear function, whose graph is a straight line. One example could read, " Rule: The first number plus three equals the second number ordered pairs: (2,5) (3,6) (4,7) and (5,8)."ĭeveloping the Concept Finding and Graphing Points for Linear RelationshipsĪt this level, students will begin to see the relationship between equations and straight-line graphs on a coordinate grid. Have students identify the rule and explain how to graph the points.
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