Transcript Presentation - Ohio Afterschool Network

DO You Speak Math?
OHIO
February 3, 2015
Why Change is Necessary
• 60% of all new jobs in the 21st century will
require skills that are possessed by only 20%
of the current work force (US Dept. of Ed)
• The common denominator for success in
college is the successful completion of algebra
and geometry (Houghton/Mifflin)
Goals for Today
• Empower Facilitators
– Develop and deepen your familiarity with math
discussions and math questions
– Provide strategies to “help you help your children”
master the Content Standards through the Practice
Standards
• Prove
– MATH IS NOT A SPECTATOR SPORT
HOW DO YOU HELP?
QUESTION QUESTION QUESTION
What do you already know?
How do you know that?
What are you being asked to find?
Can you organize your data?
What do you think your answer should be?
What would happen if….?
Expectations
Expect success – there is no math gene; everyone
can learn math
Expect answers in complete sentences –
Three plus five equals eight
3+5=8
3+5=6+2
Expect explanations – hear it, say it, write it –
internalize it
Around the House
– Sort Groceries:
• Eat/Not Eat
• Pasta/vegetables/produce/meat
• Bags/boxes/cans/bottles
– Sort Toys: action figures, board games, etc.
Around the House
– Sort Groceries: type, weight, shapes
– Sort Toys: action figures, board games,
etc.
– Find Shapes around the House:
squares, rectangles, circles, by room,
tally chart
– Find Numbers: clock, microwave,
thermostat, dvd/cd player
Complete Sentences:
1. The sum of three and eleven is equal to
fourteen. 3 + 11 = 14
2. When you add the three to eleven you get
fourteen. 11 + 3 = 14
3. Fourteen is the result when you increase
three by eleven. 14 = 3 + 11
• Seven
7
6+1
Odd
Prime
2 less than 9
Greater than 3
Small when compared to 179
Large when compared to 1/10
Connect Numbers to the Real World
Ways to express 9
- 2 more than the number of days in a week
- 3 less than a dozen eggs
- 2 less than the number of players on a football
team
- Not 6 + 7
- Not 45/8
1.
2.
3.
4.
5.
6.
Two Color Counters
Use a two-color counter template.
Count out five two-color counters and put
them in a paper or plastic cup.
Shake the cup and carefully spill out the
counters onto the table.
How many are red? Yellow?
Put this information in the template. Repeat
the activity ten times
Do you have all combinations?
• Write number sentences for the information
you recorded in the template.
• Read the number sentences.
• How do you know that you have all
combinations?
• Can you think of a rule?
Number Activities
• Rote Counting
– Forward and Backward
– Count by 1’s - Stop at 20
– Start at 3 – count by 1’s
– Start at 5 – count by 3’s
– Start at 9 – count by 7’s
– Start at 56 – count backward by 2, by 3, by 4
1.
2.
3.
4.
Reading and Writing Large Numbers
1,000,000
Replace the zero in the hundreds place with a
three.
Write the new number. Read the new number.
Replace the zero in the ten thousands place of
the new number with a nine.
Write the new number. Read the new number.
5. Replace the zero in the tens place of the new
number with a two.
……
PATTERNS
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Math is the science of patterns and order.
AAB
GGY
TTL
771
225
15 15 0
Blue Blue Red
Clap Clap Snap
Football Frenzy
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Your favorite football team made the playoffs.
You are tracking their progress each week.
You know their scores in the last five games were:
20, 24, 38, 33, and 34.
• What plays could the team have made to get each of
the scores?
Largest/Smallest
Choose two dominoes and make the smallest
two-digit number you can from each. For
example:
• These dominoes become 56 and 45.
• Find the sum.
Largest/Smallest
Choose two dominoes and make the largest
two-digit number you can from each. For
example:
• These dominoes become 65 and 54.
• Find the sum.
HUNDREDS CHART
Hundreds Chart
• Used to generate number sense
• Provides basis for addition and subtraction
• Gives students a way to solve problems using
mental math
• Horizontal numbers increase by 1
• Vertical numbers increase by 10
Grade 3 Problem 13
Here is a part of the Hundreds Chart. Fill in the
missing numbers. What patterns did you use to
find the missing numbers?
5
27
33
Pattern Blocks
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Use your pattern blocks to build pictures.
Hexagon – 6 points
Trapezoid – 5 points
Triangle – 4 points
Square – 3 points
Parallelogram – 2 points
Rhombus – 1 point
Build a picture worth more than 30 points but less
than 50 points and
prove you are right.
Grade 2 Problems 61 - 67
Problem 66
Take out your pattern blocks.
1. The hexagon is one whole. What shape is
one-half of the hexagon? Prove it.
2. The hexagon is one whole. What shape is
one-third of the hexagon? Prove it.
3. The parallelogram is one whole. What shape
is one-half of the parallelogram? Prove it.
Football Frenzy
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Discuss various scoring options
Evaluate specific examples
Touchdown – 6 points
PAT – 1 point
Two-point conversion – 2 points
Field Goal – 3 points
Safety – 2 points
– 2 touchdowns, 2 extra points, and 1 field goal
results in 17 points
Reasons for Doing Things
• Builds the Concept of PROOF
• Playing Outside
– Fresh air is good for us
– Exercise helps us stay in shape
– It’s fun
– Play things you can’t play inside
Perimeter
Find the perimeter of a rectangle with a length
of twelve and a width of six.
Perimeter
1. The perimeter of a rectangle is 36 units. Construct
two different figures that satisfy this condition.
2. The perimeter of a five sided figure is 36 units. Give
one set of correct measurements for this figure.
Show the figure.
3. What happens to the measurement of the sides as
the number of sides increases?
Goals for Today
• Empower Facilitators
– Develop and deepen your familiarity with math
discussions and math questions
– Provide strategies to “help you help your children”
master the Content Standards through the Practice
Standards
• Prove
– MATH IS NOT A SPECTATOR SPORT
Take Aways
• Name an idea you can take with you and use
immediately in your classroom.
• QUESTIONS???
Contact Information
Ellen Mulligan
[email protected]
215.630.8828
MathShapes: go figure!
Helping You Help a Child