Watch the video below for an introduction to the lesson.
Mathematically, OPPOSITES are the same distance away from zero, but on opposite sides of zero on the number line.
Click on the image to open the Google Draw numberline, create a copy from the template and then complete the following:
For each coloured point, move the square of the same colour to the opposite point on the numberline.
Use a text box to write an explanation for how you determined the locations for your points underneath the numberline.
The minus symbol (-) is also used to indicate the opposite of a value.
Use the embedded Desmos activity to complete the following:
Drag each point to the appropriate location on the number line. (If you get them all correct a star will appear, if no star, keep trying!)
In your exercise book or folder write an explanation for how you determined the locations for your points.
What is the opposite of an opposite? -(-4) represents "the opposite of the opposite of 4" or "the opposite of negative 4".
Click on the image to open the Google Draw numberline, create a copy from the template and then complete the following:
For each coloured point, move the square of the same colour to the opposite point on the numberline.
Use a text box to write what you notice about the locations of "the opposite of an opposite".
Complete the embedded Desmos activity below by dragging each point to the correct spot on the numberline. (If you get them all correct a star will appear, if no star, keep trying!)
Look at the embedded Desmos activity below.
Use a number line to help you determine whether each of the six coloured statements is true or false.
Drag the point to indicate your decision.
Choose two colored statements and in your exercise book or folder, describe below how you determined whether they were true or false.
If the embeds aren't working, or you're a little confused, watch these two videos and then try the activities again.
Introduction to integers
Duration: 8:02
The number line
Duration: 6:21
Next, we're going to see how good you are at estimating distances! Watch the video for a description of this activity.
You will need:
markers of some kind – could be cones, shoes, cans of food
a tape measure
Using two markers, estimate a distance of a metre. Carefully measure the distance you have marked out.
If your estimate is too large, use a positive number to record how much larger your estimate was.
If your estimate was too short, use a negative number to record how much smaller your estimate was.
Repeat for distances of 50cm, 1.5m and 3m.
We can use counters to help us work with directed (positive and negative) numbers.
Complete the tasks below in your exercise book or folder.
Example 1
Look at the picture Example 1. Which number is greater? How do you know?
Mark both numbers on a vertical number line.
Do you still agree with your original answer?
How would you explain to a friend or a younger sibling, how to work out which number is greater?
Represent each of the following with counters. Draw the counters into your exercise book or folder. You may like to check your answers on a vertical number line.
1 more than -2
1 less than -3
1 less than 0
2 less than -3
3 more than -1
You could play the “Placing numbers on a number line“ game from the MathsFrame website to practise ordering negative numbers.
Use the template button to create a copy of the Venn diagram worksheet and then complete the activity on ordering negative numbers.
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.