Chapter 1
Numbers and Operations
Course: Elementary Education Multiple Subjects 7001
Subject: Elementary Education Mathematics Subtest 7003
Chapter: Numbers And Operations
1. Applies the concepts of ratios and unit rates to describe relationships between two quantities
Understanding ratios and unit rates helps students make comparisons between quantities in a wide range of everyday contexts. These concepts provide foundational tools for interpreting real-life situations involving quantity, value, efficiency, density, and cost.
Ratios
A ratio is a mathematical expression that shows how two quantities compare. It does not necessarily imply that the quantities are equal, but rather how many times one quantity relates to the other. Ratios can compare:
- Part-to-part (e.g., number of apples to oranges)
- Part-to-whole (e.g., number of boys to total students)
- Whole-to-whole (e.g., one classroom's size to another's)
Common forms of ratio representation include:
- Word form: “3 to 2”
- Colon notation: “3:2”
- Fraction form: “3/2”