Integers
Curriculum Expectations
Grade 7:
- add and subtract integers, using a variety of tools (e.g., two-colour counters, virtual manipulatives, number lines).
Grade 8:
-represent the multiplication and division of integers, using a variety of tools [e.g., if black counters represent positive amounts and red counters represent negative amounts, you can model 3 x (–2) as three groups of two red counters];
– solve problems involving operations with integers, using a variety of tools (e.g., twocolour counters, virtual manipulatives,number lines);
Minds On.
Do you think that two negative integers could have the same difference as two positive integers?
Modeling the Multiplication of Integers
Action...
Consolidate
Grade 7s: a - b = -8 and b is less than 10. What could "a" be?
Grade 8s: Why does it makes sense that (-3) x (-2) = 6?
Minds On..
Action
Grade 7
Create pairs of integers that meet the following requirements. Explain your thinking.
a) The sum of a positive and a negative integer is the same as the sum of two positive integers.
b) The sum of a positive and a negative integer is the same as the sum of two negative integers.
c) The difference between a positive and a negative integer is the same as the difference between two negative integers.