Ohio Mathematics Academic Content Standards (2001)
Number, Number Sense and Operations Standard
Benchmarks (K–2)
I.
Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting.
Benchmarks (3–4)
H.
Use relationships between operations, such as subtraction as the inverse of addition and division as the inverse of multiplication.
Grade Level Indicators (Grade 1)
13.
Model and represent multiplication as repeated addition and rectangular arrays in contextual situations; e.g., four people will be at my party and if I want to give 3 balloons to each person, how many balloons will I need to buy?
Grade Level Indicators (Grade 2)
7.
Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting.
Grade Level Indicators (Grade 3)
8.
Model, represent and explain multiplication; e.g., repeated addition, skip counting, rectangular arrays and area model. For example:
a. Use conventional mathematical symbols to write equations for word problems involving multiplication.
b. Understand that, unlike addition and subtraction, the factors in multiplication and division may have different units; e.g., 3 boxes of 5 cookies each.
10.
Explain and use relationships between operations, such as:
a. relate addition and subtraction as inverse operations;
b. relate multiplication and division as inverse operations;
c. relate addition to multiplication (repeated addition);
d. relate subtraction to division (repeated subtraction).
Grade Level Indicators (Grade 5)
8.
Identify and use relationships between operations to solve problems.
Principles and Standards for School Mathematics
Number and Operations Standard
Understand meanings of operations and how they relate to one another
Expectations (Pre-K–2)
understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally.
Expectations (3–5)
understand various meanings of multiplication and division;
identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems;