A scatter plot is a type of mathematical diagram using Cartesian coordinates to display values for two variables for a set of data. The data is displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis.

**Variables:**In a scatter plot, we have two variables - one represented on the horizontal axis (x-axis) and the other on the vertical axis (y-axis).**Data Points:**Each data point on the scatter plot represents the values of the two variables for a particular observation or data entry.**Trend:**The pattern or trend in the data can be observed by examining the overall distribution of the points on the scatter plot.**Correlation:**The scatter plot can show the relationship between the two variables, indicating whether they are positively correlated, negatively correlated, or not correlated at all.

To create a scatter plot, follow these steps:

- Collect data for the two variables of interest.
- Choose which variable will be represented on the x-axis and which on the y-axis.
- Plot each data point on the graph, using the value of one variable as the x-coordinate and the value of the other variable as the y-coordinate.
- Look for patterns and trends in the distribution of the data points.

Scatter plots are commonly used to:

- Identify relationships between variables.
- Identify outliers in the data.
- Assess the strength and direction of the correlation between variables.

For example, let's say we want to analyze the relationship between the number of hours students spend studying and their test scores. We can create a scatter plot with the number of study hours on the x-axis and the test scores on the y-axis. Each data point will represent a student's study hours and test score, allowing us to see if there is any correlation between the two variables.

Scatter plots are a valuable tool for visually displaying and analyzing the relationship between two variables. By understanding how to create and interpret scatter plots, we can gain insights into the patterns and trends within our data.

.Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.