Graphing
What is graphing?
Graphing is the process of representing data or functions visually using graphs or charts. In mathematics, graphing is often used to show the relationship between two variables or to represent functions.
Types of Graphs
There are several types of graphs commonly used in mathematics:
- Line Graphs: Used to show the relationship between two variables by connecting data points with straight lines.
- Bar Graphs: Used to compare different categories of data by using rectangular bars of varying lengths.
- Pie Charts: Used to show the parts of a whole by dividing a circle into sectors.
- Scatter Plots: Used to display the relationship between two sets of data by plotting points on a coordinate plane.
Graphing Linear Equations
When graphing linear equations, the standard form y = mx + b is often used. Here, m represents the slope of the line, and b represents the y-intercept.
To graph a linear equation, follow these steps:
- Identify the y-intercept (b) and plot the point (0, b).
- Use the slope (m) to find another point on the line. For example, if the slope is 2, move up 2 units and right 1 unit from the y-intercept and plot another point.
- Draw a straight line through the two points to represent the graph of the linear equation.
Study Guide for Graphing
To effectively study graphing, consider the following tips:
- Understand the different types of graphs and when each type is used.
- Practice plotting points on a coordinate plane to become familiar with graphing linear equations.
- Learn how to calculate and interpret the slope of a line.
- Review how to find and plot the y-intercept of a linear equation.
- Work on interpreting graphs and extracting information from them.
By mastering the concepts and skills related to graphing, you'll be able to effectively represent data and functions visually, helping you solve mathematical problems more easily.
[Graphing] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Seventh Grade. Rational and Irrational Numbers
Study Guide
Rational and Irrational Numbers 
Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Connections to the Grade 7 Focal Points (NCTM)
Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.