Operations with Rational Numbers
Rational numbers unify fractions and integers under one umbrella: any number expressible as p/q where q ≠ 0. Students consolidate all four operations across positive and negative fractions, mixed numbers, and decimals, building the fluency that underpins algebraic manipulation throughout secondary mathematics.
What students explore
Rational numbers unify fractions and integers under one umbrella: any number expressible as p/q where q ≠ 0. Students consolidate all four operations across positive and negative fractions, mixed numbers, and decimals, building the fluency that underpins algebraic manipulation throughout secondary mathematics.
Key ideas
Add, subtract, multiply, and divide rational numbers in fraction and decimal form. Apply order of operations to rational number expressions. Evaluate multi-step problems involving rational numbers. Solve problems in real-world contexts using rational number arithmetic.
Putting it together
Apply these ideas through worked examples, guided practice, and real-world problems.