Integers on the Number Line & Cartesian Plane
Count Through Zero
Fill in the missing numbers on the number line.
Count Backwards Through Zero
Fill in the missing numbers as you count backwards.
Match Integers to Descriptions
Draw a line to match each description to its integer.
Match Temperatures to Integers
Draw a line to match each temperature description to its integer.
Is It Positive or Negative?
Circle whether each integer is positive or negative.
-8
12
-1
0
Order Integers
Circle the correct order from smallest to largest.
-4, 2, -1
3, -5, 0
-2, -6, 1
Order These Integers
Circle the correct order from smallest to largest.
5, -3, -7
-1, -8, 4
0, -10, 6
Sort: Positive or Negative?
Sort each integer into the correct column.
Integer Pairs That Make Zero
Each pair of integers adds to zero. Find the missing partner.
Number Line: Place the Integer
Write the integer that belongs at each position on the number line.
The integer exactly halfway between -4 and -2: ___
The integer exactly halfway between -1 and 3: ___
The integer 3 steps to the left of 1: ___
The integer 5 steps to the right of -7: ___
Skip Counting with Integers
Fill in the missing numbers in each skip-counting pattern.
Which Integer Is Greater?
Circle the greater integer in each pair.
Which is greater?
Which is greater?
Which is greater?
Which is greater?
Which Integer Is Smaller?
Circle the smaller integer in each pair.
Which is smaller?
Which is smaller?
Which is smaller?
Which is smaller?
Compare with < or >
Circle the correct symbol to compare the integers.
-3 ___ 2
5 ___ -5
-8 ___ -3
0 ___ -1
-12 ___ -15
Order from Smallest to Largest
Write these integers in order from smallest to largest.
4, -2, 0, -5, 3 → ___
-8, -1, 7, -3, 5 → ___
10, -10, 0, -5, 5 → ___
Integers Between
List all the integers between the two given numbers.
Integers between -3 and 3: ___
Integers between -5 and 0: ___
Integers between -2 and 4: ___
Match the Opposite Integer
Draw a line to match each integer to its opposite.
Descending Integer Patterns
Fill in the missing numbers in the descending pattern.
Plot Points on the Cartesian Plane
Write the coordinates for each point described below.
A point 3 units right and 2 units up from the origin: ( ___ , ___ )
A point 4 units left and 1 unit down from the origin: ( ___ , ___ )
A point at the origin: ( ___ , ___ )
A point 2 units right and 5 units down from the origin: ( ___ , ___ )
Name the Coordinates
Write the coordinates for each described location on a Cartesian plane.
6 units left and 3 units up: ( ___ , ___ )
5 units right and 5 units down: ( ___ , ___ )
On the y-axis, 4 units above the origin: ( ___ , ___ )
On the x-axis, 7 units to the left: ( ___ , ___ )
Which Quadrant?
Circle the quadrant where each point belongs.
(3, -2)
(-5, 1)
(-3, -4)
(7, 8)
Match Point to Quadrant
Draw a line to match each point to its quadrant.
Sort Points by Quadrant
Sort each ordered pair into the correct quadrant.
Sort the Temperatures
Sort these temperatures into the correct column.
Integer Word Problems
Solve each problem using integers.
The temperature was 3°C in the morning and dropped 8 degrees by midnight. What was the midnight temperature?
A submarine is at -50 metres. It rises 20 metres. What is its new depth?
A lift starts on floor 2 and goes down 5 floors. What floor is it on?
The temperature rose from -6°C to 4°C. How many degrees did it rise?
Real-Life Integers
Write the integer that represents each situation.
A loss of $15: ___
12 metres above sea level: ___
A temperature of 8 degrees below zero: ___
Gaining 25 points in a game: ___
Underground car park level 3: ___
Temperature Challenge
Circle the correct answer for each temperature question.
Which is colder: -3°C or -8°C?
Which is warmer: -1°C or 0°C?
It is -4°C. The temperature rises 7°. What is it now?
It is 2°C. The temperature drops 9°. What is it now?
Cartesian Plane Shapes
Plot these points on a Cartesian plane and name the shape they make.
Points: (1, 1), (1, -1), (-1, -1), (-1, 1). Shape: ___
Points: (0, 3), (3, 0), (0, -3), (-3, 0). Shape: ___
A rectangle has corners at (2, 4) and (-2, -4). What are the other two corners?
Distance Between Points
Calculate the distance between each pair of points on a number line.
Distance between -3 and 5 on the number line: ___
Distance between -7 and -2 on the number line: ___
Distance between -4 and 4 on the number line: ___
Distance between 0 and -9 on the number line: ___
Home Activity: Integers Around Us
Find integers in real life!
- 1Check the weather forecast — are any temperatures below zero? Write them as negative integers.
- 2Look at a thermometer. Mark where 0°C is. Count down from 0 to find negative numbers.
- 3Draw a number line from -10 to 10 and mark five integers of your choice.
- 4Find examples of negative numbers in real life (e.g. underground car park levels, temperatures).
- 5Draw a Cartesian plane and plot your family members' ages as coordinates (e.g. Mum = (1, 42), Dad = (2, 45)).
Integer Counting Patterns
Fill in the missing integers in each pattern.
Absolute Value (Extension)
Circle the correct absolute value for each integer.
|-7| = ?
|4| = ?
|-12| = ?
|0| = ?
Match Integer Operations
Draw a line to match each expression to its value.
Adding Integers
Calculate each integer addition.
-4 + 9 = ___
-7 + (-3) = ___
5 + (-8) = ___
-6 + 6 = ___
-15 + 20 = ___
Subtracting Integers
Calculate each integer subtraction.
3 − 8 = ___
-2 − 5 = ___
6 − (-3) = ___
-4 − (-9) = ___
-10 − (-10) = ___
Sort Integers: Ascending Order
Drag each integer to order from smallest (left) to largest (right).
Integer Bonds to 5
Find the missing integer that makes each pair add to 5.
Temperatures This Week
This graph shows daily high temperatures (°C). Answer the questions.
| Monday | |
| Tuesday | |
| Wednesday | |
| Thursday | |
| Friday |
On which day was it coldest?
What was the difference between the hottest and coldest days?
What was the mean temperature for the week?
Integer Word Problem Check
Circle the correct answer for each problem.
A diver is at -12 m. Rises 5 m. New depth?
Temp was -3°C. Dropped 4°. New temp?
Floor 3. Goes down 7 floors. New floor?
Score was -5. Gained 9 points. New score?
Cartesian Plane Distances
Calculate horizontal and vertical distances between points.
Horizontal distance from (-3, 2) to (5, 2): ___
Vertical distance from (1, -4) to (1, 3): ___
Horizontal distance from (-6, 0) to (-1, 0): ___
Vertical distance from (0, -5) to (0, 4): ___
Integer Frequency
Count how many of each type of integer appear in the list: -3, 5, -1, 0, 7, -8, 2, 0, -4, 6.
| Item | Tally | Total |
|---|---|---|
Negative | ||
Zero | ||
Positive |
Integer Distance from Zero
Each frame shows the distance of an integer from zero. Fill in the frames.
Comparing Negatives
Write < or > to compare each pair of negative integers.
-3 ___ -7
-10 ___ -2
-1 ___ -100
-50 ___ -49
Positive and Negative Counters
Count the positive (+) and negative (−) counters in each group.
Reading Coordinates
Read each coordinate description and write the ordered pair.
x = -4, y = 3: ( ___ , ___ )
x = 0, y = -5: ( ___ , ___ )
x = 6, y = -2: ( ___ , ___ )
x = -7, y = -7: ( ___ , ___ )
Classify Coordinate Pairs
Sort each coordinate pair by its location on the Cartesian plane.
Match Situation to Integer
Draw a line to match each real-world situation to an integer.
Integer Number Line Challenges
Answer these questions using a number line.
What integer is 6 units to the left of 2? ___
What integer is 4 units to the right of -9? ___
What integer is halfway between -8 and 2? ___
What integer is 3 units above -7 on a vertical number line? ___
Reflection on the Cartesian Plane
Circle the coordinates of the reflected point.
(3, 2) reflected over the x-axis:
(3, 2) reflected over the y-axis:
(-1, -4) reflected over the x-axis:
(-5, 3) reflected over the y-axis:
Integer Challenge Problems
Solve these harder integer problems.
If -3 + n = 5, what is n? ___
If n − 4 = -7, what is n? ___
The sum of two integers is -2. One integer is 5. What is the other? ___
List all integers n where -4 < n < 2: ___
Real-World Contexts for Integers
Write a real-world context for each integer calculation.
Context for -8 + 5 = -3: ___
Context for 0 − 6 = -6: ___
Positive and Negative Counter Patterns
Continue the pattern with positive (+) and negative (−) counters.
Justify Your Answer
Write a sentence justifying each answer.
Is -50 greater or less than -49? Justify: ___
Why is -1 the greatest negative integer? ___
Explain why 0 is neither positive nor negative: ___
Temperature Graphs
Study these temperatures and answer the questions.
Moscow: -15°C. Sydney: 28°C. Difference = ___°C
The average of -6°C and 4°C is ___°C
If the temperature drops from 3°C by 10°C each day for 3 days, what is the final temperature? ___
Multiplying Integers (Extension)
Circle the correct answer.
Positive × Positive =
Negative × Positive =
Negative × Negative =
-3 × 2 = ?
-4 × -5 = ?
Integer Puzzles
Find the missing integer in each puzzle.
? + (-8) = -3. ? = ___
-5 + ? = 0. ? = ___
? − 3 = -10. ? = ___
7 + ? = -2. ? = ___
Integers on the Cartesian Plane — Summary
Test your knowledge with these summary questions.
Name all 4 quadrants and their sign patterns: ___
What happens to the x-coordinate when you reflect over the y-axis? ___
In which quadrant are both coordinates negative? ___