Transcript Math Institute Powerpoint Oct. 2010

Numeracy 101
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Karen Greer
Jan Whisonant
October Math Institute, 2010
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Objectives:
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• To gain knowledge in basic numeracy
teaching methods and provide teachers with
lesson plans to implement in their
classrooms.
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• Skills will include number sense, place
value, rounding, mean, mode, median, and
basic fractions.
Numeracy 101
Standards Ladder
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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
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• 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”
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Lesson Plan Handout
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Mean, Mode,
Median Card Game
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What Do We Already Know?
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Sure, the words “Mean, Median, and Mode”
all sound confusing…
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But what about the words we already know,
like average, middle, and most frequent?
They are all the same ideas!
Mean
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Definition:
The average of a set of numbers.
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Mean
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• 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
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Example:
Mary received the following grades on 5
reading tests: 78, 83, 96, 80, and 88.
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To find the mean, add the numbers and
divide by 5.
425
5 = 85
Mean
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Let’s try it!
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Median
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Definition:
The median is the
middle number in an
ordered set of data.
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Median
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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.
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Median
Example:
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?
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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.
Median
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• If there is an even number of
values, find the mean (average)
of the two middle values.
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Median
Example:
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Rudy received the following grades on 6 math tests:
76, 82, 73, 93, 80, 76.
To find the median, put the values in order:
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73, 76, 76, 80, 82, 93.
Since there is an even number of values, find the mean
of the middle two: 76+80
156
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= 2 = 78
The median is 78.
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Median
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Let’s Practice!
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Mode
Definition:
The mode is the value that appears
most often in a set of numbers.
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If all of the values occur the same
number of times, there is no mode.
Mode
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To find the mode, find the value
that occurs most often.
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Mode
Example:
Roxanne received the following grades
on 5 science tests:
82, 95, 77, 82, 88.
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Roxanne scored an 82 twice, so the
mode is 82.
Mode
Example:
Billy received the following grades in
biology class:
88, 96, 67, 99, 83, 89.
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Since all the values occur the same
number of times, there is no mode.
Mode
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Let’s try it!
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“Deal Me In” Activity
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Refer to handout #3
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Count and Read Whole Numbers
Level
1,
1.1
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• Name numbers as dealt using all cards.
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8
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reads as: four hundred seventy-eight
Identify Place Value
Level 2, 1.2
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• Deal 6 cards and arrange from largest
number to smallest number. Label each
digit with its place value name.
ten thousands
thousands
hundreds
tens
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ones
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Identify and Use Math Symbols
Level 1, 2.1
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• Make math symbol cards
• Use with playing cards to create practice
problems.
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Plotting Natural Numbers
Level 1, 3.1
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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
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Model and Apply Addition and Subtraction
Level 1, 4.2
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2 cards + 2 cards, then 2 - 2 cards
3 cards + 3 cards, then 3 cards - 3 cards
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Counting and Making Change
Level 2, 5.2
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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 #.
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Measurements
Linear, weight, and volume terms and
equivalents
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Level
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.
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ft.
in. =
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Rounding
Levels 1, 2, 3, 4
14.1, 14.2 14.3 14.4
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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
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• 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
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• 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 Percents
Level 4, 1.4
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• Make fractions using 2 cards and popsicle
sticks, 3 sets.
• Compare each as fraction, decimal, and
percent.
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Probabilities
Level
4,
9.4,
9.4
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• Draw a card of any suit. Determine simple
probabilities from entire deck.
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Finale
Sorting and countingKinesthetic mode
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• 52 card pickup, then count and sort
into suits.
Thank you!
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Thank you for your attendance at the
Oct. 2010 Math Institute!
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