Unit 6

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Transcript of Unit 6

Page 1: Unit 6

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Page 2: Unit 6

Key Concepts Construct, read, and interpret stem and leaf plots.

Add and subtract fractions with like and unlike denominators.

Understand how sample size affects results.

Find common denominators.

Convert among fractions, decimals, and percents.

Identify and use data landmarks.

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Construct, Read, and Interpret Stem and Leaf Plots

For instance, suppose you have the following list of values: 12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41.

A stem and leaf plot for this data looks like this:

A stem and leaf plot is a way of organizing data so that you will see how many scores fall within a particular range.

Stem Leaf

1 2, 3

2 1, 7

3 3, 4, 5, 7

4 0, 0, 1

The "stem" is the left-hand column which contains the

tens digits. The "leaves" are the lists in the right-hand

column, showing all the ones digits for each of the tens,

twenties, thirties, and forties. As you can see, the original

values can still be determined; you can tell, from that bottom leaf, that the three values in the forties were 40, 40, and

41.

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Construct, Read, and Interpret Stem and Leaf Plots

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Click on the flowers to practice and learn more!

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1. High Temperatures in October Stem Leaves

4 7 5 2 4 8 5 0 3 1 6 2 0 5 7 0 2 4 1

a. How many temperatures are at least 44 degrees?

b. How many high temperatures are recorded?

c. What is the range of the data set?

2. This stem-and-leaf plot shows

grades that students received on a math quiz.

Test Scores Stem Leaves

3 1 4 5 6 7 6 2 7 5 0 8 7 2 9 3 0 5 9 8 9 2 4 6 1

10 0

a. List the top 3 scores.

b. How many scores are there?

c. How many students scored at least 92 on the math quiz?

3. This stem-and-leaf plot shows how long it took each student in a class to complete a homework assignment.

Minutes to Complete Homework

Stem Leaves 2 7 3 6 4 7 5 4 7 8 1 5 1 9 4 6 5 3 7 7 6 2

a. Sort the number of minutes it took students to complete their homework from the slowest time to the quickest time.

b. What is the range of the data set?

c. Sort the number of minutes it took students to complete their homework from the quickest time to the slowest time.

Name ___________

Remember, the stems represent the

tens digit and the leaves represent the ones digits.

Directions:1. Print this page2. Answer the questions using the

information found in the stem and leaf plots.

3. Turn this page in to Mrs. R.4. Return to the previous slide.

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Name ____________Directions:1. Print this page for your record keeping.2. Use the random number generator at http://urlant.com/zwooq3. Collect 25 pieces of data and create a stem and leaf plot for your data.4. Answer the questions and turn this page in to Mrs. R.

Find the following data landmarks:____ max ____ median____ min ____ mode____ range ____ mean

Describe your data in words: _______________________________________________________________________________________________________________________________________________________________________________

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Add and subtract fractions with like and unlike denominators.

Click us for activities and explanations!

Remember, in order to add or subtract fractions you must have common denominators. The numerators are the numbers you are adding or subtracting. The

denominator stays the same.

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Understand How Sample Size Affects Results

Sample Size is the number of pieces of data you gather. It could be the number of people you survey, or the number of times you conduct an experiment.

In probability, the larger the sample size, the closer your experimental probability (the actual results you get) will be to the theoretical probability (the calculated probability using math).

In a survey, the larger the sample size, the better your data will reflect the population you are gathering information about.

Click me to play probability games to

see how long it takes to reach the expected

results.

Click me to do a coin flipping

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Find common denominators

In order to add and subtract fractions, you must be able to find common denominators.

COMMON DEMONINATOR means two fractions have the same denominator (bottom number, piece sizes).

Click on the bones to learn how to find common denominators and practice finding common denominators.

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Converting Among Fractions, Decimals, and Percents

Fractions, decimals, and percents are all ways of describing a part out of a whole.

A decimal is a fraction that has a denominator of 10, 100, 1000, etc.You can change a fraction into a decimal by dividing the numerator by the denominator.

A percentage is a quantity out of 100. “Per cent” means per 100.You can change a decimal into a percent by multiplying it by 100.You can change a fraction into a percent by finding an equivalent fraction with a denominator of 100, or by changing it to a decimal and multiplying by 100.

Click the chickens for more instruction and practice!