K12 Math Video: Teaching Standard 6.NS.6 Step-by-Step
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Welcome to our lesson on positive and negative numbers! A number line helps us visualize these numbers. Zero is at the center. Numbers to the right of zero are positive, like 1, 2, 3, and so on. Numbers to the left of zero are negative, like negative 1, negative 2, negative 3. Understanding this concept is essential for working with integers.
Let me show you how to plot points on a coordinate plane. The coordinate plane has two axes: the x-axis goes left and right, and the y-axis goes up and down. The origin is at zero, zero. Let's plot some points together. Point 3, 2 means go 3 units right and 2 units up. Point negative 2, 4 means go 2 units left and 4 units up. Point negative 4, negative 3 means go 4 units left and 3 units down. Point 2, negative 3 means go 2 units right and 3 units down.
Now let's explore the four quadrants of the coordinate plane. Quadrant one is where both x and y coordinates are positive. Quadrant two is where x is negative and y is positive. Quadrant three is where both x and y coordinates are negative. Quadrant four is where x is positive and y is negative. Notice how each quadrant has its own unique combination of positive and negative signs.
Now let's practice together! We need to plot the point negative 3, 4. Let's break this down step by step. First, we start at the origin. The x-coordinate is negative 3, so we move 3 units to the left. Next, the y-coordinate is positive 4, so from our current position, we move 4 units up. There we have it! We've successfully plotted the point negative 3, 4. Notice how we always start from the origin and move horizontally first, then vertically.
Now it's your turn to practice! I want you to try plotting these three points on your own coordinate plane. First, plot the point 2, negative 5. Remember to start at the origin, move 2 units right, then 5 units down. Next, plot negative 4, negative 1. Move 4 units left from the origin, then 1 unit down. Finally, plot 5, 3. Move 5 units right, then 3 units up. Take your time and follow the steps we learned. When you're ready, check your answers with the solution shown here.