In mathematics, a table is a way to organize data in rows and columns. Each row represents a different set of data, and each column represents a different variable or category. Tables are commonly used to display and analyze numerical information, making it easier to spot patterns and relationships within the data.
Parts of a Table
Before we dive into understanding and working with tables, it's important to familiarize ourselves with the basic parts of a table:
Title: The title of the table describes the information being presented.
Header: The header row contains the column titles, which represent the variables or categories being measured.
Body: The body of the table contains the actual data organized into rows and columns.
Row: A horizontal arrangement of data within the table, representing a specific set of information.
Column: A vertical arrangement of data within the table, representing a specific variable or category.
Types of Tables
There are different types of tables used in mathematics and statistics, including:
Frequency Table: A table used to show the number of times each item occurs in a data set.
Two-Way Table: A table used to display the relationship between two categorical variables.
Calculate totals, averages, and other summary statistics based on the data in the table.
Use the information in the table to make predictions or draw conclusions about the data set.
Study Guide
Here are some key concepts and skills to focus on when studying tables:
Understanding the parts of a table and how to interpret the information in each part.
Practice creating and organizing data into tables based on given information or a scenario.
Practice analyzing tables to identify patterns, calculate totals, and draw conclusions based on the data.
Work on real-world applications of tables, such as interpreting data from graphs and creating tables to represent real-world scenarios.
By mastering the concepts and skills related to tables, you'll be well-equipped to work with and interpret data effectively in various mathematical and statistical contexts.
Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]
Expressions and Equations
Work with radicals and integer exponents.
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]