Welcome to Everyday Mathematics

Welcome to Everyday Mathematics : Welcome to Everyday Mathematics University of Chicago School Mathematics Project

Why do we need a new math program? : Why do we need a new math program? 60% of all future jobs have not even been created yet 80% of all jobs will require post secondary education / training. Employers are looking for candidates with higher order and critical thinking skills Traditional math instruction does not develop number sense or critical thinking.

Research Based Curriculum : Research Based Curriculum Mathematics is more meaningful when it is rooted in real life contexts and situations, and when children are given the opportunity to become actively involved in learning. Children begin school with more mathematical knowledge and intuition than previously believed. Teachers, and their ability to provide excellent instruction, are the key factors in the success of any program. Starting with kindergarten, Everyday Mathematics was developed one grade level at a time. All seven grade levels were written by the same core of authors, in collaboration with a team of mathematicians, education specialists and classroom teachers. Over 175,000 classrooms and 2.8 million students are currently using EM

Curriculum Features : Curriculum Features Real-life Problem Solving Balanced Instruction Multiple Methods for Basic Skills Practice Emphasis on Communication Enhanced Home/School Partnerships Appropriate Use of Technology

Lesson Components : Lesson Components Math Messages Mental Math and Reflexes Math Boxes / Math Journal Home links Explorations Games Alternative Algorithms

Slide6 : Learning Goals

Assessment : Assessment Grades primarily reflect mastery of secure skills End of unit assessments Math boxes Relevant journal pages Slate assessments Checklists of secure/developing skills Observation

What Parents Can Do to Help : What Parents Can Do to Help Come to the math nights Log on to the Everyday Mathematics website or the South Western Math Coach’s web site Read the Family letters – use the answer key to help your child with their homework Ask your child to teach you the math games and play them. Ask your child to teach you the new algorithms Contact your child’s teacher with questions or concerns

Slide9 :

Partial Sums : Partial Sums An Addition Algorithm

Slide11 : 600 Add the tens (60 +80) 140 Add the ones (8 + 3) 751

Slide12 : 1300 Add the tens (80 +40) 120 Add the ones (5 + 1) 1426

Slide13 : 1200 100 1318

Slide14 : An alternative subtraction algorithm

Slide15 : In order to subtract, the top number must be larger than the bottom number 9 3 2 - 3 5 6 To make the top number in the ones column larger than the bottom number, borrow 1 ten. The top number become 12 and the top number in the tens column becomes 2. 12 2 To make the top number in the tens column larger than the bottom number, borrow 1 hundred. The top number in the tens column becomes 12 and the top number in the hundreds column becomes 8. 12 8 Now subtract column by column in any order 5 6 7

Slide16 : Let’s try another one together 7 2 5 - 4 9 8 To make the top number in the ones column larger than the bottom number, borrow 1 ten. The top number become 15 and the top number in the tens column becomes 1. 15 1 To make the top number in the tens column larger than the bottom number, borrow 1 hundred. The top number in the tens column becomes 11 and the top number in the hundreds column becomes 6. 11 6 Now subtract column by column in any order 2 7 2

Slide17 : Now, do this one on your own. 9 4 2 - 2 8 7 12 3 13 8 6 5 5

Slide18 : Last one! This one is tricky! 7 0 3 - 4 6 9 13 9 6 2 4 3 10

Partial Products Algorithm for Multiplication : Partial Products Algorithm for Multiplication

Slide20 : Calculate 50 X 60 6 7 X 5 3 Calculate 50 X 7 3,000 350 180 21 Calculate 3 X 60 Calculate 3 X 7 Add the results 3,551 To find 67 x 53, think of 67 as 60 + 7 and 53 as 50 + 3. Then multiply each part of one sum by each part of the other, and add the results

Slide21 : Calculate 10 X 20 1 4 X 2 3 Calculate 20 X 4 200 80 30 12 Calculate 3 X 10 Calculate 3 X 4 Add the results 322 Let’s try another one.

Slide22 : Calculate 30 X 70 3 8 X 7 9 Calculate 70 X 8 2, 100 560 270 72 Calculate 9 X 30 Calculate 9 X 8 Add the results Do this one on your own. 3002 Let’s see if you’re right.

Partial Quotients : Partial Quotients A Division Algorithm

Slide24 : The Partial Quotients Algorithm uses a series of “at least, but less than” estimates of how many b’s in a. You might begin with multiples of 10 – they’re easiest. There are at least ten 12’s in 158 (10 x 12=120), but fewer than twenty. (20 x 12 = 240) 10 – 1st guess - 120 38 Subtract There are more than three (3 x 12 = 36), but fewer than four (4 x 12 = 48). Record 3 as the next guess 3 – 2nd guess - 36 2 13 Sum of guesses Subtract Since 2 is less than 12, you can stop estimating. The final result is the sum of the guesses (10 + 3 = 13) plus what is left over (remainder of 2 )

Slide25 : Let’s try another one 100 – 1st guess - 3,600 4,291 Subtract 100 – 2nd guess - 3,600 7 219 R7 Sum of guesses Subtract 691 10 – 3rd guess - 360 331 9 – 4th guess - 324

Slide26 : Now do this one on your own. 100 – 1st guess - 4,300 4272 Subtract 90 – 2nd guess -3870 15 199 R 15 Sum of guesses Subtract 402 7 – 3rd guess - 301 101 2 – 4th guess - 86

Slide27 :