## Using Matrices to Represent Data

#### Aligned To Common Core Standard:

**High School** - HSN-VM.C.6

How are Matrices Used to Represent Data? Matrices is an outstanding concept to represent data if your data is related to each other in an adjacent manner. For instance, let us consider the marks of different subjects that you study in your class. Almost every student study the same subjects; however, each student may get different marks in each of those subjects. A matrix would allow us to keep track of all of this and make it easier to perform calculations that without the matrix would be cluttered. You can think of a matrix like a graphic organizers for large amounts of data. These worksheets and lessons introduce students to using matrices as a method of representing data. We explain the why and how.

### Printable Worksheets And Lessons

- Ice Cream Matrix Step-by-step Lesson- Take a simple chart and make it into a functional matrix.

- Guided Lesson - Matrices on washing machine, student grades, and the population of international plate spinners.

- Guided Lesson Explanation - Students usually get the hang of this skill very quickly. One of the fastest high school skills to pick up.

- Practice Worksheet - A whole bunch of matrices for you to create.

- Matching Worksheet - Match the matrices to the data tables that they represent.

#### Homework Sheets

We finally start to see the application of matrices in everyday work.

- Homework 1 - Create a matrix to represent how Grade 1 and 2 students like Math, English and Spanish.
- Homework 2 - The table shows data from two areas of the city. We recorded the number of people who are and are not Vegetarians. Write a matrix to represent this data.
- Homework 3 - The table shows data from two different cities. We recorded the number of people that do and do not have a job.

#### Practice Worksheets

First comes data charts, then matrices, then writing your own algorithm. End that off with a job at Google or Apple.

- Practice 1 - A laptop company collects data on the sale of laptops in two areas from the years 2003 to 2006. The data can be found below. Express this data as a matrix.
- Practice 2 - The following table shows grades received by second year and third year students in Accounting and Economics classes. Express this data as a matrix.
- Practice 3 - The table below shows the number of people who were trained plate spinners in the Europe and Paris between 1992 and 1995.

#### Math Skill Quizzes

This are simple scenarios so that students don't get lost in the details.

- Quiz 1 - A matrix is a method for organizing data. It is very similar to a data chart in that the data are organized into rows and columns. Each piece of data are called an entry.
- Quiz 2 - The table shows the number LLB students who passed the big test. We look at both 1st and 2nd year students. Write this data as a matrix.
- Quiz 3 - The given table shows the data from the number people who like South Indian and Italian restaurants. The poll was taken from 2 parts of the city.