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0011 0010 1010 1101 0001 0100 1011Numeracy 101

Karen GreerJan Whisonant

October Math Institute, 2010

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• Copyright © 2008 Texas Education Agency• Copyright © Notice.  The materials are copyrighted © and trademarked ™ as the property of the Texas

Education Agency (TEA) and may not be reproduced without the express written permission of TEA, except under the following conditions:

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• Private entities or persons located in Texas that are not Texas public school districts, Texas Education Service Centers, or Texas charter schools or any entity, whether public or private, educational or non-educational, located outside the state of Texas MUST obtain written approval from TEA and will be required to enter into a license agreement that may involve the payment of a licensing fee or a royalty.

• For information contact

• Richard JarrellOffice of Copyrights, Trademarks, License Agreements, and RoyaltiesTexas Education Agency1701 N. Congress Ave.Austin, TX 78701-1494(512) 463-9270 or (512) 936-6060

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Objectives:

• To gain knowledge in basic numeracy teaching methods and provide teachers with lesson plans to implement in their classrooms.

• Skills will include number sense, place value, rounding, mean, mode, median, and basic fractions.

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Numeracy 101Standards Ladder

• Number Sense• Math Symbols• Currency• Measurements• Graphs and Charts• Rounding, Estimation, Mean, Median, and Mode• Decimals and Percents • Ratios and Proportions• Fractions• Algebra• Geometry• Trigonometry

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Numeracy

• Numeracy is the ability to deconstruct quantities, keep track of the parts, put the parts back together in a different way to solve a problem, and know that the answer makes sense.

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Number Sense Activity:“ Call Me”

Lesson Plan Handout

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Mean, Mode, Median Card Game

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0011 0010 1010 1101 0001 0100 1011What Do We Already Know?

Sure, the words “Mean, Median, and Mode” all sound confusing…

But what about the words we already know, like average, middle, and most frequent?

They are all the same ideas!

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Mean

Definition:

The average of a set of numbers.

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Mean

• To find the mean (average), add all of the values in the set. Then divide the total by the number of values in the set.

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Mean

Example:Mary received the following grades on 5 reading tests: 78, 83, 96, 80, and 88.

To find the mean, add the numbers and divide by 5. 425

5 = 85

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Let’s try it!

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Definition:

The median is the

middle number in an

ordered set of data.

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To find the median:

1.Write the set of numbers in order from smallest to largest.

2.If there is an odd number of values, choose the middle value for the median.

Median

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MedianExample:

Joe worked 5.5 hours on Monday, 6 hours on Tuesday, 8 hours on Wednesday, 7.5 hours on Thursday, and 4.5 hours on Friday. What is the median number of hours he worked?

To find the median, put the values in order:

4.5, 5.5, 6, 7.5, 8.

Since there is an odd number of values, the one in

the middle is the median. The median is 6.

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Median

• If there is an even number of values, find the mean (average) of the two middle values.

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MedianExample:

Rudy received the following grades on 6 math tests:

76, 82, 73, 93, 80, 76.

To find the median, put the values in order:

73, 76, 76, 80, 82, 93.Since there is an even number of values, find the mean

of the middle two: 76+80 156

2 = 2 = 78

The median is 78.

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Median

Let’s Practice!

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ModeDefinition:

The mode is the value that appears most often in a set of numbers.

If all of the values occur the same number of times, there is no mode.

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Mode

To find the mode, find the value that occurs most often.

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ModeExample:

Roxanne received the following grades on 5 science tests:

82, 95, 77, 82, 88.

Roxanne scored an 82 twice, so the mode is 82.

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ModeExample:

Billy received the following grades in biology class:

88, 96, 67, 99, 83, 89.

Since all the values occur the same number of times, there is no mode.

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Mode

Let’s try it!

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“Deal Me In” Activity

Refer to handout #3

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Count and Read Whole NumbersLevel 1, 1.1

• Name numbers as dealt using all cards.

reads as: four hundred seventy-eight

8 7 4

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Identify Place ValueLevel 2, 1.2

• Deal 6 cards and arrange from largest number to smallest number. Label each digit with its place value name.

ten thousands thousands hundreds tens ones

9 7 6 3 4

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Identify and Use Math SymbolsLevel 1, 2.1

• Make math symbol cards

• Use with playing cards to create practice problems.

8 4

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Plotting Natural NumbersLevel 1, 3.1

Play solitaire by going from lowest to highest and highest to lowest.

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Addition and Subtraction Using 1 Digit Level 1, 4.1

5 3

7 2

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Model and Apply Addition and Subtraction

Level 1, 4.2

2 cards + 2 cards, then 2 - 2 cards3 cards + 3 cards, then 3 cards - 3 cards

6

5 3 6

8 7

5 4

8 7

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• 4 cards on top using a decimal to make it $, then 2 to 4 cards of lesser value to subtract.

• Name currency that could be used to give change from top #.

8

6 1

2

4 5

5 8

Counting and Making ChangeLevel 2, 5.2

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MeasurementsLinear, weight, and volume terms and

equivalentsLevel 1, 6.1

• 2 cards (1 for ft., 1 for in.) Convert to smaller unit. Do for each type of measurement.

• Do + and – problems using all types

• Level 5, 6.5 Convert to higher or lower measurement.

ft. in. =

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RoundingLevels 1, 2, 3, 4

14.1, 14.2 14.3 14.4

Using any number of cards dealt, round to specified place values.

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Math Symbols and Calculations with Fractions Level 2, 2.2

• Use popsicle stick for dividing line and put one card on top and one on bottom to make each fraction.

• Add symbol cards to add, subtract, multiply, or divide.

• Remind students to simplify answers.

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Compare Fractions, Identify Mixed Numbers, and Decimals

Level 3, 1.3

• Create fractions with cards and popsicle sticks.

• Make improper fractions and practice changing to mixed numbers.

• Simplify where needed.

• Make multiple fractions and have students place them in order.

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Equivalents: Fractions, Decimals and PercentsLevel 4, 1.4

• Make fractions using 2 cards and popsicle sticks, 3 sets.

• Compare each as fraction, decimal, and

percent.

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ProbabilitiesLevel 4, 9.4, 9.4

• Draw a card of any suit. Determine simple probabilities from entire deck.

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FinaleSorting and counting-

Kinesthetic mode

• 52 card pickup, then count and sort

into suits.

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Thank you!

Thank you for your attendance at the Oct. 2010 Math Institute!