Everyday Everyday MathematicsMathematics

Everyday Everyday MathematicsMathematics

Riverside Elementary SchoolsRiverside Elementary Schools

Everyday Mathematics Philosophy

The children of the 21st century need a math curriculum that is balanced:

*a curriculum that emphasizes conceptual understanding not just teaching procedures

*a curriculum that explores the full mathematics spectrum, not just basic arithmetic

*a curriculum based on how children learn, what they are interested in, and what they need to be prepared for in the future

Research Based Curriculum

• Research shows that 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 like presented in this book.

• The program allows children to revisit a skill numerous times throughout the curriculum because most children will not master a skill the first time it is presented.

• The program establishes high expectations for all students and gives teachers the tools they need to help students meet, and often exceed, these expectations.

• The program helps teachers move beyond the basics and teach higher-order and critical-thinking skills in students.

Key Features of Everyday Mathematics

• Problem solving in real-life situations• Hands-on activities• Sharing ideas through small group and class

discussions• Cooperative learning• Practice through games• Ongoing review of skills taught• Home-and-School Connections

Lesson Components

• Mental Math• Math Messages• Math Boxes• Games• Alternative Algorithms• Home Links• Literature

Learning Goals

• Skills- The student can consistently complete the task independently and correctly.

• Skills-Students show some understanding. Reminders or hints are still needed.

• Skills-Students cannot complete the task independently. Students show little understanding of the concept.

Assessment

• Grades include mastery of secure skills• Unit Assessments (Checking Progress)• Math Boxes• Journal Pages• Written responses• Slate and oral assessments• Game play

Parent Involvement

• Read the Family Letters -use the answer key to help your child with their homework

• Play Math games with your child• Be involved in Math Nights• Maintain high expectations for your child• Log on to the Everyday Math website or Mr.

Morgan’s website at Riverside School District http://www.riversidesd.com/ for extra help

• Keep home-school communication open

PSSA 2007 MATH SCORES

MATH PSSA 2007

81.8 83.977.1

85.1

45

56

0102030405060708090

100

Grade 3 Grade 4 Grade 5 Grade 6 AYP2007

AYP2008

MATH

Everyday Math Algorithms

Partial SumsPartial SumsPartial SumsPartial Sums(Addition Algorithm)(Addition Algorithm)

287+ 625

800Add the hundreds (200 + 600)

Add the tens (80 +20) 100Add the ones (7 + 5)

Add the partial sums(800 + 100 + 12)

+ 12912

Counting Up/Counting Up/Hill MethodHill Method

Counting Up/Counting Up/Hill MethodHill Method

A Subtraction AlgorithmA Subtraction Algorithm

38-14=1. Place the smaller number at the bottom of the hill and the larger at the top.

2. Start with 14, add to the next friendly number. (14+6=20)

3. Start with 20, add to the next friendly number. (20+10=30)4. Start with 30, add to get 38. (30+8=38)

Record the numbers added at each interval:

(6+10+8=24)

Trade FirstTrade First(Subtraction algorithm) (Subtraction algorithm)

1. The first step is to determine whether any trade is required. If a trade is required, the trade is carried out first.

8 3 1

- 4 8 5 2. To make the 1 in the ones column larger than the 5, borrow 1 ten from the 3 in the tens column. The 1 becomes an 11 and the 3 in the tens column becomes 2.

112

3. To make the 2 in the tens column larger than the 8 in the tens column, borrow 1 hundred from the 8. The 2 in the tens column becomes 12 and the 8 in the hundreds column becomes 7.

127

4. Now subtract column by column in any order.

3 6 4

Partial Product Partial Product (Multiplication Algorithm)(Multiplication Algorithm)Partial Product Partial Product

(Multiplication Algorithm)(Multiplication Algorithm)

Multiply 20 X 60 (tens by tens)

27X 64

Multiply 60 X 7 (tens by ones)

1,200 420 80 28

Multiply 4 X 20 (ones by tens)

Multiply 4 X 7 (ones by ones)

Add the results

+

1,728

When multiplying by “Partial Products,” you must first multiply parts of these numbers, then you add all of the results to find the answer.

(20+7)(60+4)

Partial QuotientsPartial QuotientsPartial QuotientsPartial Quotients(Division Algorithm)(Division Algorithm)

Start “Partial Quotient” division by estimating your answer. Check by multiplying and subtraction. The better your estimate, the fewer the steps you will have.

9 8761. Estimate how many 9’s are in 876. (90)

90 x 9 =810 (1st estimate)

- 81066

Subtract2. Estimate how many 9’s are in 66. (7)

7 x 9 =63 (2nd estimate)

- 63

3 97 (Add the estimates)

Subtract3. Because 3 is less than 9, you have finished dividing and you now need to add the estimates to get your answer and the 3 left over is your remainder.

““Lattice”Lattice” (Multiplication Algorithm)(Multiplication Algorithm)

““Lattice”Lattice” (Multiplication Algorithm)(Multiplication Algorithm)

1. Create a 3 by 2 grid. Copy the 3 digit number across the top of the grid, one number per square.

2. Draw diagonals across the cells.

3.Multiply each digit in the top factor by each digit in the side factor. Record each answer in its own cell, placing the tens digit in the upper half of the cell and the ones digit in the bottom half of the cell.4. Add along each diagonal and record any regroupings in the next diagonal

0

21

8

1

4

03

27

2

1

Copy the 2 digit number along the right side of the grid, one number per square.

0

21

8

1

4

03

27

2

1

Thank you for coming!