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Welcome to Paxtang’s Everyday Math Family Night!

Welcome to Paxtang’s Everyday Math Family Night!. Are you ready to go nuts for math?. Curriculum Features. Research-Based, Spiraling Program Real-life Problem Solving Balanced Instruction Multiple Methods for Basic Skills Practice Emphasis on Communication

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Welcome to Paxtang’s Everyday Math Family Night!

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

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

  3. Lesson Components • Math Messages • Mental Math and Reflexes • Math Boxes / Math Journal • Home links/Study Links • Explorations • Games • Alternative Algorithms • 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 • End of unit assessments • Math boxes • Relevant journal pages • Ongoing Slate assessments and quizzes • Checklists of secure/developing skills • Observation

  6. What Parents Can Do to Help • Come to the math nights • Log on to the Everyday Mathematics website or the Paxtang staff websites • Read the Family letters – use the answer key to help your child with their homework • Use the SRB/MRB • 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 • Study Basic Math Facts daily

  7. Lattice Method of Multiplication

  8. 286 X 34

  9. 1. Create a grid. Write one factor along the top, one digit per cell. Write the other factor along the outer right side, one digit per cell. 2 8 6 1 0 2. Draw diagonals across the cells. 2 0 3 6 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 8 2 0 3 9 4 8 2 4 4. Add along each diagonal and record any regroupings in the next diagonal 1 7 1 2 4

  10. Answer 2 8 6 1 1 1 0 2 0 3 6 4 8 2 0 3 9 4 8 2 4 7 2 4 286 X 34 = 9 7 2 4

  11. Partial Quotients A Division Algorithm

  12. 12 158 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. 13 R2 There are at least ten 12’s in 158 (10 x 12=120), but fewer than twenty. (20 x 12 = 240) - 120 10 (1st guess) 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 )

  13. Partial Sums An Addition Algorithm

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

  15. Trade-First Subtraction An alternative subtraction algorithm

  16. 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 7 6 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

  17. Thank You for Coming !

  18. Partial Products Algorithm for Multiplication

  19. + 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

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

  21. + Do this one on your own. 3 8 Let’s see if you’re 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

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

  23. 329 + 989 + 18 Do this one on your own Let's see if you're right. 1200 100 1318 Well Done!

  24. 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!

  25. 9 Last one! This one is tricky! 6 13 10 7 0 3 - 4 6 9 2 3 4 Oh, no! What do we do now? Let's trade from the hundreds column Let's see if you're right. Congratulations!

  26. Congratulations on a job well done!

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