Mathematics
Grade 6
15 min
Add integers using counters
Add integers using counters
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify positive and negative integers.
Represent any integer using positive and negative counters.
Form and identify zero pairs using counters.
Add two positive integers using the counter method.
Add two negative integers using the counter method.
Add a positive and a negative integer using the counter method.
Determine the sum of two integers by counting remaining counters.
Ever wondered how to combine hot and cold temperatures, or how your bank balance changes when you deposit and withdraw money? 🌡️💰
In this lesson, you'll learn a fun and visual way to add integers using special objects called counters. This method will help you understand how positive and negative numbers interact and make adding them much clearer.
Real-World Applications...
2
Key Concepts & Vocabulary
TermDefinitionExample
IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero.Examples of integers are -3, 0, 5, -100, 27.
Positive IntegerAn integer greater than zero. It can be written with a '+' sign or no sign.+1, 7, 100 are all positive integers.
Negative IntegerAn integer less than zero. It is always written with a '-' sign.-1, -7, -100 are all negative integers.
Positive CounterA small object (often yellow or a specific color) used to represent a value of +1.If a yellow counter represents +1, then three yellow counters represent +3.
Negative CounterA small object (often red or a different specific color) used to represent a value of -1.If a red counter represents -1, then two red counters represent -2.
Zero PairA combination of...
3
Core Formulas
Adding Two Positive Integers
To add two positive integers, represent each integer with positive counters. Combine all the positive counters and count the total. The sum will be positive.
Use this rule when both numbers in the addition problem are positive. Simply put all the positive counters together and count them up to find the sum.
Adding Two Negative Integers
To add two negative integers, represent each integer with negative counters. Combine all the negative counters and count the total. The sum will be negative.
Use this rule when both numbers in the addition problem are negative. Put all the negative counters together and count them. The answer will always be negative.
Adding a Positive and a Negative Integer
To add a positive and a negative integer, represent...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Easy
What is a 'zero pair' when using counters to add integers?
A.Two positive counters
B.Two negative counters
C.One positive counter and one negative counter
D.Any two counters that are removed
Easy
How would you represent the integer -5 using counters?
A.5 positive counters
B.5 negative counters
C.5 positive counters and 5 negative counters
D.I cannot represent -5 with counters
Easy
If you are using yellow counters for positive and red counters for negative, how would you model the number 4?
A.4 yellow counters
B.4 red counters
C.2 yellow counters and 2 red counters
D.4 yellow counters and 4 red counters
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free