- relating equality and inequality to balance
- comparing sets
- recording equalities with an equal sign
- recording inequalities with a not equal sign
- solving problems involving equality and inequality.
[C, CN, R, V]
(a) |
Compare two quantities of the same object (same shape and mass) by using a balance scale to determine if the quantities are equal or not. |
(b) |
Construct two unequal sets using identical objects and verify orally and concretely that the sets are not equal. |
(c) |
Analyze the impact of changing one of two equal sets upon the equality of the two sets. |
(d) |
Analyze the impact of making changes (equal and unequal) to both of two equal sets upon the equality of the sets. |
(e) |
Analyze and sort sets according to equality and explain the reasoning. |
(f) |
Model two number expressions to determine if the expressions are equal (=) or not equal (≠) and write a number sentence to show the relationship (e.g., 3 + 2 and 4 + 1 are both equal to 5, so the two expressions are = and I write 3 + 2 = 4 + 1; 7 - 5 and 3 are not the same quantity, so I write 7 – 5 ≠ 3). |
(g) |
Create statements of equality and non-equality and model the statements to verify the relationship. |