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….?

ExpectationsExpect 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

Two Color Counters1. Use a two-color counter template.2. Count out five two-color counters and put

them in a paper or plastic cup.3. Shake the cup and carefully spill out the

counters onto the table.4. How many are red? Yellow?5. Put this information in the template. Repeat

the activity ten times6. 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

Reading and Writing Large Numbers1,000,000

1. Replace the zero in the hundreds place with a three.2. Write the new number. Read the new number.3. Replace the zero in the ten thousands place of the

new number with a nine.4. Write the new number. Read the new number.

5. Replace the zero in the tens place of the new number with a two.

……

PATTERNS

• Math is the science of patterns and order.• AAB GGY TTL• 771 225 15 15 0• Blue Blue Red• Clap Clap Snap

Football Frenzy

• 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/SmallestChoose 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/SmallestChoose 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 13Here 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• 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 66Take 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

• 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 Mulliganemulli1272@verizon.net

215.630.8828

MathShapes: go figure!Helping You Help a Child