In this Grade 7 Saxon Math Course 2 investigation, students explore the coordinate plane by learning to identify and graph ordered pairs using the x-axis, y-axis, origin, and four quadrants. Students practice reading coordinates, plotting points in all four quadrants including negative values, and applying coordinate graphing to find perimeters and areas of rectangles and squares. The investigation builds foundational skills for working with geometric figures on a coordinate grid.
Section 1
📘 Coordinate Plane
By drawing two perpendicular number lines and extending the tick marks, we can create a grid over an entire plane called the coordinate plane.
Next, you’ll work through examples on plotting points, identifying coordinates, and using the plane to solve problems involving geometric shapes.
Section 2
Coordinate plane
By drawing two perpendicular number lines, the x-axis (horizontal) and y-axis (vertical), we create a coordinate plane. A point's location is given by coordinates like , where the axes intersect at the origin .
To find , go 5 units right and 2 units up from the origin.
The point is located 4 units left and 1 unit down.
The origin is the super special starting point , where the axes meet.
Imagine a treasure map for a flat world! The first number in directs you left or right, and the second guides you up or down. 'X' literally marks the spot on this grid, making it easy to pinpoint any location.
Section 3
Quadrants
The two axes divide the plane into four regions called quadrants, which are numbered counterclockwise starting from the upper right. Every point is either in a quadrant or on an axis.
A point in Quadrant I has coordinates, like the point .
A point in Quadrant III has coordinates, like the point .
A point on an axis, like , is not in any quadrant.
The plane is cut into four giant pizza slices called quadrants! They are numbered counterclockwise, and each has a unique sign combination for its coordinates, like a secret code for its neighborhood.
Section 4
Finding perimeter and area
By plotting the vertices of a polygon on the coordinate plane, we can determine the lengths of its sides and subsequently calculate its perimeter and area.
A rectangle with vertices has sides of length 5 and 3.
The perimeter is the sum of all sides: units.
The area is length times width: square units.
Become a shape detective! Plot a shape's corners (vertices) on the grid. Count the squares between points to find the side lengths. Now you can easily calculate the shape's perimeter and area.
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Section 1
📘 Coordinate Plane
By drawing two perpendicular number lines and extending the tick marks, we can create a grid over an entire plane called the coordinate plane.
Next, you’ll work through examples on plotting points, identifying coordinates, and using the plane to solve problems involving geometric shapes.
Section 2
Coordinate plane
By drawing two perpendicular number lines, the x-axis (horizontal) and y-axis (vertical), we create a coordinate plane. A point's location is given by coordinates like , where the axes intersect at the origin .
To find , go 5 units right and 2 units up from the origin.
The point is located 4 units left and 1 unit down.
The origin is the super special starting point , where the axes meet.
Imagine a treasure map for a flat world! The first number in directs you left or right, and the second guides you up or down. 'X' literally marks the spot on this grid, making it easy to pinpoint any location.
Section 3
Quadrants
The two axes divide the plane into four regions called quadrants, which are numbered counterclockwise starting from the upper right. Every point is either in a quadrant or on an axis.
A point in Quadrant I has coordinates, like the point .
A point in Quadrant III has coordinates, like the point .
A point on an axis, like , is not in any quadrant.
The plane is cut into four giant pizza slices called quadrants! They are numbered counterclockwise, and each has a unique sign combination for its coordinates, like a secret code for its neighborhood.
Section 4
Finding perimeter and area
By plotting the vertices of a polygon on the coordinate plane, we can determine the lengths of its sides and subsequently calculate its perimeter and area.
A rectangle with vertices has sides of length 5 and 3.
The perimeter is the sum of all sides: units.
The area is length times width: square units.
Become a shape detective! Plot a shape's corners (vertices) on the grid. Count the squares between points to find the side lengths. Now you can easily calculate the shape's perimeter and area.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter