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Welcome to Everyday Mathematics

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Log on to the Everyday Mathematics website or the South Western Math Coach's web site ... Ask your child to teach you the math games and play them. ... – PowerPoint PPT presentation

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Title: Welcome to Everyday Mathematics


1
Welcome to Everyday Mathematics
  • University of Chicago School Mathematics Project

2
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.

3
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

4
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

5
Lesson Components
  • Math Messages
  • Mental Math and Reflexes
  • Math Boxes / Math Journal
  • Home links
  • Explorations
  • Games
  • Alternative Algorithms

6
Learning Goals
Secure Skills
Developing Skills
Beginning Skills
7
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

8
What Parents Can Do to Help
  • Come to the math nights
  • Log on to the Everyday Mathematics website or the
    South Western Math Coachs 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 childs teacher
    with questions or concerns

9
Thank You for Coming
10
Partial Sums
  • An Addition Algorithm

11
Partial Sums
600
Add the tens (60 80)
140
Add the ones (8 3)
751
12
Let's try another one
1300
Add the tens (80 40)
120
Add the ones (5 1)
1426
13
Do this one on your own
Let's see if you're right.
1200
100
1318
Well Done!
14
Trade-First Subtraction
  • An alternative subtraction algorithm

15
12
8
12
In order to subtract, the top number must be
larger than the bottom number
2
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.
5
6
7
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.
Now subtract column by column in any order
16
11
Lets try another one together
6
15
1
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.
2
7
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 11 and the top
number in the hundreds column becomes 6.
Now subtract column by column in any order
17
13
8
12
3
9 4 2 - 2 8 7
Now, do this one on your own.
6
5
5
Let's see if you're right.
Congratulations!
18
9
Last one! This one is tricky!
6
13
10
7 0 3 - 4 6 9
2
4
3
Oh, no! What do we do now?
Let's trade from the hundreds column
Let's see if you're right.
Congratulations!
19
Partial Products Algorithm for Multiplication
20
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
6
7
X
5
3
3,000
Calculate 50 X 60
350
Calculate 50 X 7
180
Calculate 3 X 60
21
Calculate 3 X 7
3,551
Add the results
21
Lets try another one.
1
4
X
2
3
200
Calculate 10 X 20
80
Calculate 20 X 4
30
Calculate 3 X 10
12
Calculate 3 X 4
322
Add the results
22
Do this one on your own.
3
8
Lets see if youre right.
X
7
9
2, 100
Calculate 30 X 70
560
Calculate 70 X 8
270
Calculate 9 X 30
72
Calculate 9 X 8
3002

Add the results
23
Partial Quotients
  • A Division Algorithm

24
The Partial Quotients Algorithm uses a series of
at least, but less than estimates of how many
bs in a. You might begin with multiples of 10
theyre easiest.
13 R2
There are at least ten 12s in 158 (10 x
12120), but fewer than twenty. (20 x 12 240)
10 1st guess
- 120
Subtract
38
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
Subtract
2
13 Sum of guesses
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 )
25
Lets try another one
219 R7
- 3,600
100 1st guess
Subtract
4,291
- 3,600
100 2nd guess
Subtract
691
10 3rd guess
- 360
331
- 324
9 4th guess
7
219 R7 Sum of guesses
26
Now do this one on your own.
199 R 15
- 4,300
100 1st guess
Subtract
4272
-3870
90 2nd guess
Subtract
402
7 3rd guess
- 301
101
- 86
2 4th guess
199 R 15 Sum of guesses
15
27
Congratulations on a job well done!
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