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 Prove 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 7

Complete Sentences: The sum of three and eleven is equal to fourteen. 3 + 11 = 14 When you add the three to eleven you get fourteen. 11 + 3 = 14 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 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

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. 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/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 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 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. The hexagon is one whole. What shape is one-half of the hexagon? Prove it. The hexagon is one whole. What shape is one-third of the hexagon? Prove it. 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 Prove 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 emulli1272@verizon.net 215.630.8828 MathShapes: go figure! Helping You Help a Child