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1. NO TEACHER LEFT BEHIND NCLB-compliant Math Programs That Support Teacher Learning and Student Achievement
2. 2
3. 3 MATH CONTENT PREPARATION RESEARCH
4. 4 MATH CONTENT PREPARATION MORE ABOUT THE CTP REPORT
5. 5 MATH CONTENT PREPARATION RECOMMENDATIONS
6. 6 MATH CONTENT PREPARATION MORE ABOUT THE MET REPORT
7. 7 A CLOSER LOOK AT CALCULUS
8. 8 UCLA MATHEMATICS COURSES AND PROGRAMS PRESERVICE
9. 9 UCLA MATH ED WEB PAGE
Go to: www.math.ucla.edu/mathed
10. 10 UCLA MATHEMATICS COURSES AND PROGRAMS INSERVICE
11. 11 PASCAL AND SIERPINSKIKIDLUCI LESSON READY (GOALS)
We investigate some patterns in “triangles” made famous by two mathematicians: Sierpinski and Pascal. We use patterns within the triangles to explore properties of “even” and “odd” numbers, and to generate some mathematical rules. We use the fourfold way (pictures, numbers, symbols and words) to describe our findings.
12. 12 PASCAL AND SIERPINSKIKIDLUCI LESSON SET (STANDARDS)
Calculate with whole numbers, fractions, and decimals
Use algebraic terminology expressions, equations and graphs
Evaluate and apply expressions with exponents
Find perimeter and area of shapes
Know and apply the Pythagorean theorem
13. 13 PASCAL AND SIERPINSKIKIDLUCI LESSON GO (WARMUP)
Continue this pattern. Write each term using exponents. Write a rule for the pattern. Graph the pattern.
14. 14 PASCAL AND SIERPINSKIKIDLUCI LESSON PART 1: PASCAL’S TRIANGLE
Complete Pascal’s Triangle (OH2, R1)
Discuss properties of “even” and “odd”
Shade even numbers (OH3, R2)
Examine patterns
15. 15 PASCAL AND SIERPINSKIKIDLUCI LESSON EVEN NUMBERS IN PASCAL’S TRIANGLE
16. 16 PASCAL AND SIERPINSKIKIDLUCI LESSON PART 2: SIERPINSKI TRIANGLE
Subdivide triangle (OH5, R3)
Record remaining areas (OH6, R4)
Examine patterns
17. 17 PASCAL AND SIERPINSKIKIDLUCI LESSON SIERPINSKI TRIANGLE AREA
18. 18 PASCAL AND SIERPINSKIKIDLUCI LESSON SIERPINSKI TRIANGLE AREA
19. 19 THE FOURFOLD WAY Solve the Problem Visually
(Pictures)
Solve the Problem Numerically
(Numbers)
Solve the Problem Algebraically
(Symbols)
Solve the Problem Verbally
(Words)
20. 20 TECHNOLOGY CONNECTION Go to www.math.ucla.edu/mcpt
21. 21 TECHNOLOGY CONNECTION Click on “Resources”
22. 22 TECHNOLOGY CONNECTION Under “Mathematical Moments with Mamikon”, click on Pascal Triangle
23. 23 TECHNOLOGY CONNECTION This takes you to Mamikon’s webpage. Click on Pascal triangle in upper right portion of page to begin interactive applet.
24. 24 NCLB REGULATIONS WHAT ARE REQUIREMENTS FOR A
“HIGHLY QUALIFIED TEACHER”?
25. 25 NCLB REGULATIONS HOW TO DEMONSTRATE
SUBJECT MATTER COMPETENCE
26. 26 CALIFORNIA
27. 27 ACROSS THE NATION SUBJECT MATTER COMPETENCE
28. 28 ACROSS THE NATION HIGHLY QUALIFIED TEACHERS DEFINITION
29. 29 IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES?
30. 30 IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES? So…
31. 31 NCLB SILVER LINING Teachers are learning more mathematics
Students are learning more mathematics
32. 32 LUCIMATH QUADRILATERALS PROBLEM Name five different quadrilaterals. Describe the properties (characteristics) of their sides and angles in an organized way. Include a drawing for each one.
33. 33 LUCIMATH QUADRILATERALS PROBLEM Name five different quadrilaterals. Describe the properties (characteristics) of their sides and angles in an organized way. Include a drawing for each one.
34. 34 K-2 LUCIMATH PUZZLE PROBLEM Maureen had 26 puzzles. Kate gave her 16 more. How many puzzles does Maureen have now? Solve this problem as a first grader might solve it using three different strategies. Label each strategy A, B, C. Rank them from easiest to hardest and briefly explain why.
35. 35 K-2 LUCIMATH PUZZLE PROBLEM Maureen had 26 puzzles. Kate gave her 16 more. How many puzzles does Maureen have now? Solve this problem as a first grader might solve it using three different strategies. Label each strategy A, B, C. Rank them from easiest to hardest and briefly explain why.
36. 36 STUDENT ACHIEVEMENT
37. 37 STUDENT ACHIEVEMENT
In 2003, grades 2-5 scores increased 11 percentage points on the statewide tests.
“These are not just strong increases, they are remarkable!”
Roy Romer, LAUSD Superintendent
38. 38 THE END Thank you for attending our session
www.lucimath.org