Welcome to Welcome to Paxtang’s Everyday MathPaxtang’s Everyday Math

Family Night!Family Night!

Are you ready to go nuts for math?Are you ready to go nuts for math?

Curriculum FeaturesCurriculum Features Research-Based, Spiraling ProgramResearch-Based, Spiraling Program

Real-life Problem SolvingReal-life Problem Solving

Balanced InstructionBalanced Instruction

Multiple Methods for Basic Skills PracticeMultiple Methods for Basic Skills Practice

Emphasis on CommunicationEmphasis on Communication

Enhanced Home/School PartnershipsEnhanced Home/School Partnerships

Appropriate Use of TechnologyAppropriate Use of Technology

Lesson ComponentsLesson Components

Math MessagesMath Messages Mental Math and ReflexesMental Math and Reflexes Math Boxes / Math JournalMath Boxes / Math Journal Home links/Study LinksHome links/Study Links ExplorationsExplorations GamesGames Alternative AlgorithmsAlternative Algorithms Enrichment/ESL StrategiesEnrichment/ESL Strategies

Learning GoalsIn order to reach the “Adequate” level, studentsmust demonstrate the tested skill with 85% or greateraccuracy.

One essential goal in the Everyday Math program is for students to be fluent with grade-appropriate basic math facts.

AssessmentAssessment

Grades primarily reflect mastery of secure Grades primarily reflect mastery of secure skillsskills

End of unit assessmentsEnd of unit assessments Math boxesMath boxes Relevant journal pagesRelevant journal pages Ongoing Slate assessments and quizzesOngoing Slate assessments and quizzes Checklists of secure/developing skillsChecklists of secure/developing skills ObservationObservation

What Parents Can Do to HelpWhat Parents Can Do to Help Come to the math nightsCome to the math nights Log on to the Log on to the Everyday Mathematics website or the website or the

Paxtang staff websitesPaxtang staff websites Read the Family letters – use the answer key to help Read the Family letters – use the answer key to help

your child with their homeworkyour child with their homework Use the SRB/MRBUse the SRB/MRB Ask your child to teach you the math games and play Ask your child to teach you the math games and play

them.them. Ask your child to teach you the new algorithmsAsk your child to teach you the new algorithms Contact your child’s teacher with questions or concernsContact your child’s teacher with questions or concerns Study Basic Math Facts dailyStudy Basic Math Facts daily

Lattice Method Lattice Method of Multiplicationof Multiplication

1. Create a grid. Write one factor along the top, one digit per cell.

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

62

4

1

8

08

32

2

4

Write the other factor along the outer right side, one digit per cell.

0

62

4

1

8

08

32

2

4

Partial QuotientsPartial Quotients

A Division AlgorithmA Division Algorithm

The Partial Quotients Algorithm uses a series of “at least, but less than” estimates of how many. You might begin with multiples of 10 – they’re easiest.

12 158There are at least ten 12’s in 158 (10 x 12=120), but fewer than twenty. (20 x 12 = 240)

10 (1st guess)

- 12038

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 )

Partial SumsPartial Sums

An Addition AlgorithmAn Addition Algorithm

268+ 483

600Add the hundreds (200 + 400)

Add the tens (60 +80) 140Add the ones (8 + 3)

Add the partial sums(600 + 140 + 11)

+ 11751

An alternative subtraction algorithm An alternative subtraction algorithm

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

Partial Products Partial Products Algorithm for Algorithm for MultiplicationMultiplication

Calculate 50 X 60

67X 53

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

Calculate 20 X 10

14X 23

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.

Calculate 30 X 70

38X 79

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.

Now do this one on your own.

43 8,572100 – 1st guess

- 4,3004272

Subtract

90 – 2nd guess

-3870

15199 R 15

Sum of guesses

Subtract

4027 – 3rd guess- 301

1012 – 4th guess

- 86

329+ 9891200 100

+ 18

1318

Now, do this one on your own.

9 4 2

- 2 8 7

12

313 8

6 5 5

Last one! This one is tricky! 7 0 3

- 4 6 9

13

9 6

2 4 3

10