Coordinate Plane

The coordinate plane is a two-dimensional surface formed by two number lines that intersect at right angles. The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. The point where the axes intersect is called the origin, which is denoted by the coordinates (0, 0).

Quadrants

The coordinate plane is divided into four quadrants, labeled as I, II, III, and IV, moving counterclockwise from the top right quadrant. Each quadrant has its own unique combination of positive and negative coordinates.

Coordinates

Coordinates are used to locate points on the coordinate plane. They are written in the form (x, y), where x represents the horizontal distance from the y-axis (positive to the right, negative to the left), and y represents the vertical distance from the x-axis (positive upwards, negative downwards).

Study Guide

What are the names of the two number lines that form the coordinate plane?
Answer: The x-axis and the y-axis.
What are the coordinates of the origin?
Answer: The coordinates of the origin are (0, 0).
How many quadrants are there in the coordinate plane?
Answer: There are four quadrants.
What are the signs of x and y coordinates in each of the four quadrants?
Answer:
- Quadrant I: (+, +)
- Quadrant II: (-, +)
- Quadrant III: (-, -)
- Quadrant IV: (+, -)
If a point is located 3 units to the right of the y-axis and 5 units above the x-axis, what are its coordinates?
Answer: The coordinates are (3, 5).

Understanding the coordinate plane is essential for graphing and understanding the relationships between points in two-dimensional space.

◂Math Worksheets and Study Guides First Grade. Sequencing

Duck Race - Least to Greatest

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Count with understanding and recognize 'how many' in sets of objects.

Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the quantities they represent, using various physical models and representations.

Grade 1 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of whole number relationships, including grouping in tens and ones

Children compare and order whole numbers (at least to 100) to develop an understanding of and solve problems involving the relative sizes of these numbers. They think of whole numbers between 10 and 100 in terms of groups of tens and ones (especially recognizing the numbers 11 to 19 as 1 group of ten and particular numbers of ones). They understand the sequential order of the counting numbers and their relative magnitudes and represent numbers on a number line.