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Everything we need to know about Algebra we learned in First Grade!

Everything we need to know about Algebra we learned in First Grade!. Jonily Zupancic jonilyzupancic@gmail.com OCTM 2012 Columbus, OH. Welcome!. What is an even number? What is the next number? 50 th number? n th ? 4, 8, 12, 16, 20, …

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Everything we need to know about Algebra we learned in First Grade!

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  1. Everything we need to know about Algebra we learned in First Grade! Jonily Zupancic jonilyzupancic@gmail.com OCTM 2012 Columbus, OH

  2. Welcome! • What is an even number? • What is the next number? 50th number? nth? • 4, 8, 12, 16, 20, … • How many different rectangles can be made with 36 one inch square tiles? HDYK? (How Do You Know?)

  3. Instruction • “Mile Wide – Inch Deep” • Proportional? • Options?

  4. Math Classroom • Culture • Confidence, success, Habits of Mind • THINK • Structure and routine • Big Ideas • Middle School • Grades 3-5 • College Board • Critical Focus Areas (CCSS) • Rich Tasks, Problems and Questions • Mathematical Practices • Embedded intervention and extension • Connections and Progressions

  5. What’s the Big Idea?Middle School • Number (and Operation) • Even/odd, Prime/Composite, little bit of factors/lots of factors, Perfect Squares • What is subtraction? division? • Rate and Function • Patterns and “Rule of Four” • Ratio • Space and Dimension • Area, perimeter, surface area, volume • Coordinate plane

  6. What’s the Big Idea?Grades 3-5 • Number • Patterns and Rate • Algebraic Thinking and Reasoning • Shape (Space and Dimension) • Classification and Characteristics • Area

  7. What’s the Big Idea?College Board • Rate • Function • Accumulation http://apcentral.collegeboard.com/apc/members/courses/teachers_corner/29924.html

  8. Example 1 • Even and odd

  9. Example 2 • Tables, rules and patterns

  10. Example 3 • Shape • Space • Area

  11. Example 4 • Fraction • What is Division?

  12. What is important? • Culture • Thinking • Questions • Rich Tasks • Embedded Intervention • Connections • Big Ideas • Ongoing frequent assessment • Be patient!

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