The Attributes of Data
There are many different attributes that data can have. They fall into two fundamental categories quantitative and qualitative. Quantitative are those that can be defined by numeric values and have the ability to be measured. This are the values that we are accustomed to working with in math and science settings. Qualitative attributes are much more difficult to define. These are qualities that cannot be measured on a scale of any kind, in most cases. These are most commonly observations and define the characteristics or descriptors of the data. A basic example is color. Something you can see, but is difficult to bring to numbers of any form. These worksheets and lessons help us begin to make sense of data sets and begin to analyze what they can tell us.
Aligned Standard: Grade 6 Statistics - 6.SP.B.5b
- Unit Rates Step-by-step Lesson- Imagine that we could travel with rockets on land...
- Guided Lesson - We work on average prices, miles per minute, and burning calories in a minute.
- Guided Lesson Explanation - Unit rate problems are great to get you started on new tasks.
- Practice Worksheet - You might notice that I like to data charts, that is definitely very true for this skill.
- Matching Worksheet - This worksheet makes for a nice fresh reminder at the start of class.
- Answer Keys - These are for all the unlocked materials above.
These were very difficult for me to dream up. My head hurt after these.
- Homework 1 - There are 15 staff workers in a shop. There are 3 groups of workers. Each group has 5 members.
- Homework 2 - Troy, Brio and Rose are starting a race. They ran the same distance but their times are different. At what pace did they run at? Calculate their miles per min.
- Homework 3 - Amy started 9 projects over three days. On day 1 she takes 6 hours, on day 2 she takes 7 hours and on 3 day she works for 5.30 hours to complete the projects. Each day she completed 3 projects.
I could find zero references to work off of with these. The standard really runs in a new direction.
- Practice 1 - Ali, Lex and Joe walk daily. Ali can burn 210 calories in 25 minutes by walking at a speed of 4 miles per min. Lex can burn 200 calories in 22 minutes by walking at a speed of 3 miles per min.
- Practice 2 - Henry buys items over three days for $717. The table shows the prices of items he bought on Monday, Thursday and Saturday.
- Practice 3 - Stefan and Paul had a contest to see who could draw a Justin Beiber cartoon the fastest over the period of one day. Stephen made 20 drawings in two hours and Paul took 1 hour to make 35 drawings.
Math Skill Quizzes
After students complete the quiz they are pros with input/output charts.
- Quiz 1 - What is the speed of A and B if, A moves 45 meters in 12 seconds and B moves 35 meters in 10 seconds.
- Quiz 2 - 3 different planes fly into Newark Airport. Who reached the airport the fastest?
- Quiz 3 - Complete the number per min column of the chart.
How to Spot Patterns in Data?
When examiners are tasked with testing a student's IQ level, they make the students solve a series of number patterns. Identifying and understanding patterns is one of the fundamental skills in math. Every numeric data set follows a specific pattern and identifying the hidden patterns can help students excel in their IQ tests. Every number in a data set is connected to its preceding number which creates a pattern in a data set.
Here are some steps that you should follow when you have a series of values that you are trying to spot trends and sequence patterns in:
Step 1: Evaluate First Three Values - Work out the pattern between the first three numbers. You can identify the pattern between three numbers by applying all four basic arithmetic operations such as addition, subtraction, multiplication, and division. Make sure you start with addition first. Check if it satisfies the relationship between the first and the second term, then between the second and the third term.
Step 2: Validate the Relationship - If you can find out which operation is connecting the three numbers, you can then easily identify the value by which the number is increasing or decreasing. Once you have found out the relationship between the first three numbers, apply the relationship on any three consecutive numbers. You can randomly select the numbers. If even these numbers satisfy the relationship, you have found out the pattern.
If it does not satisfy the pattern, you need to revisit the first three terms and see which other operations satisfy their relationship. While the first three terms do not always define the sequence, they do define most. We would encourage to focus on those values.