Rational Numbers:
Develop understanding of rational numbers by including negative rational numbers.Explore relationships between positive and negative numbers by modeling them on a number line
Use appropriate notation to indicate positive and negative numbers
Compare and order positive and negative rational numbers (integers, fractions, decimals, and zero) and locate them on a number line
Recognize and use the relationship between a number and its opposite (additive inverse) to solve problems
Relate direction and distance to the number line
Use models and rational numbers to represent and solve problems
Operations With Rational Numbers:
Develop understanding of operations with rational numbers and their properties.Develop and use different models (number line, chip model) for representing addition, subtraction, multiplication, and division
Develop algorithms for adding, subtracting, multiplying, and dividing integers
Interpret and write mathematical sentences to show relationships and solve problems
Write and use related fact families for addition/subtraction and multiplication/division to solve simple equations
Use parentheses and the Order of Operations in computations
Understand and use the Commutative Property for addition and multiplication
Apply the Distributive Property to simplify expressions and solve problems
When your child encounters a new problem, it is a good idea to ask questions such as:
How do negative and positive numbers and zero help describe the situation?
What will addition, subtraction, multiplication, or division of rational numbers tell about the problem?
What model(s) for positive and negative numbers and zero help show relationships in the problem situation?
Accentuate the Negative - Explanation of Concepts for Those Helping at Home - Connected Mathematics 3 Resource