![]() 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. Provide students with other examples of ordered pairs that follow a rule.Use a straightedge to connect the points. Students should see that a line will be formed. Ask: What figure do you think will be formed by connecting the points on the grid?.Emphasize the importance of moving right for the first number in the ordered pair and up for the second number. Have students verbalize how to locate the point for each of the other ordered pairs.Students should say to "start at 0, move 6 units to the right, then 4 units up." Mark this point on the grid for the class to see. Ask: How would you locate the point for (6,4) on the grid?.Say: Let's locate these ordered pairs on a grid.You can help them by using the rule to write each ordered pair as an equation: 6 – 2 = 4, 7 – 2 = 5, 8 – 2 = 6, 9 – 2 = 7. Students should notice that each ordered pair follows this rule. Ask: Does the same rule apply to the other ordered pairs?.Ask: What rule describes the relationship between the numbers in this ordered pair?Īlthough many rules work for this pair in isolation, elicit from students this rule: the first number minus two equals the second number.Write these ordered pairs where all students can see them: (6,4) (7,5) (8,6) and (9,7).Preparation: Draw a large coordinate grid that the entire class can see. Materials: Poster paper or a way to display a coordinate grid publicly for the class straightedge Key Standard: Graph points on the coordinate plane. A day spent plotting coordinates that fall in a straight line will be a day well spent. Your students may have encountered ordered pairs last year, but it's a good idea to start by reviewing how to locate a point on a grid from an ordered pair. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.Introducing the Concept Finding and Graphing Points for Linear Relationships The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. And then do the same but following a horizontal line to find the y-coordinate.Ī relation is a set of ordered pairs. Begin at the point and follow a vertical line either up or down to the x-axis. To find out the coordinates of a point in the coordinate system you do the opposite. And the y-coordinate tells you have many steps to move up (positive) or down (negative). The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). It's always a good idea to start at the origin. To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. Exactly one ordered pair of numbers names a given point in the plane.Exactly one point in the plane is named given the numbers of the ordered pair and.The completeness property for points in the plane tells us two things The first number corresponds to the x-coordinates and the second to the y-coordinate. The axes divide the plane into four quadrants.Ī point in a coordinate plane is named by its ordered pair of the form of (x, y). These lines are perpendicular and intersect at their zero points. As you remember from pre-algebra a coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis.
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