1. Welcome to Paxtang’s Everyday Math Family Night! Are you ready to go nuts for math?

2. Curriculum Features Research-Based, Spiraling Program Research-Based, Spiraling Program Real-life Problem Solving Real-life Problem Solving Balanced Instruction Balanced Instruction Multiple Methods for Basic Skills Practice Multiple Methods for Basic Skills Practice Emphasis on Communication Emphasis on Communication Enhanced Home/School Partnerships Enhanced Home/School Partnerships Appropriate Use of Technology Appropriate Use of Technology

3. Lesson Components Math Messages Math Messages Mental Math and Reflexes Mental Math and Reflexes Math Boxes / Math Journal Math Boxes / Math Journal Home links/Study Links Home links/Study Links Explorations Explorations Games Games Alternative Algorithms Alternative Algorithms Enrichment/ESL Strategies Enrichment/ESL Strategies

4. Learning Goals In order to reach the “Adequate” level, students must demonstrate the tested skill with 85% or greater accuracy. One essential goal in the Everyday Math program is for students to be fluent with grade-appropriate basic math facts.

5. Assessment Grades primarily reflect mastery of secure skills Grades primarily reflect mastery of secure skills End of unit assessments End of unit assessments Math boxes Math boxes Relevant journal pages Relevant journal pages Ongoing Slate assessments and quizzes Ongoing Slate assessments and quizzes Checklists of secure/developing skills Checklists of secure/developing skills Observation Observation

6. What Parents Can Do to Help Come to the math nights Come to the math nights Log on to the Everyday Mathematics website or the Paxtang staff websites Log on to the Everyday Mathematics website or the Paxtang staff websitesEveryday Mathematics Everyday Mathematics Read the Family letters – use the answer key to help your child with their homework Read the Family letters – use the answer key to help your child with their homework Use the SRB/MRB Use the SRB/MRB Ask your child to teach you the math games and play them. Ask your child to teach you the math games and play them. Ask your child to teach you the new algorithms Ask your child to teach you the new algorithms Contact your child’s teacher with questions or concerns Contact your child’s teacher with questions or concerns Study Basic Math Facts daily Study Basic Math Facts daily

7. Lattice Method of Multiplication

9. 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 6 2 4 1 8 0 8 3 2 2 4 Write the other factor along the outer right side, one digit per cell.

10. 0 6 2 4 1 8 0 8 3 2 2 4

11. Partial Quotients A Division Algorithm

12. 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. 12 158 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 (2 nd 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 )

13. Partial Sums An Addition Algorithm

14. 268+ 483 600 Add the hundreds ( 200 + 400) Add the tens (60 +80) 140 Add the ones (8 + 3) Add the partial sums (600 + 140 + 11) + 11 751

15. An alternative subtraction algorithm

16. 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

18. Partial Products Algorithm for Multiplication

19. Calculate 50 X 60 67 X 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

20. Calculate 20 X 10 14 X 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.

21. Calculate 30 X 70 38 X 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.

22. Now do this one on your own. 43 8,572 100 – 1st guess - 4,300 4272 Subtract 90 – 2 nd guess -3870 15 199 R 15 Sum of guesses Subtract 402 7 – 3 rd guess - 301 101 2 – 4th guess - 86

23. 329+ 989 1200 100 + 18 1318

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

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