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A Grade-by-Grade Progression of “A Story of Units”

A Grade-by-Grade Progression of “A Story of Units”. Scott Baldridge Common Core August 14, 2012 Part 1 of 2 (Grades K – 2). Plan:. Step through “A Story of Units” grade-by-grade. Overview Chart. Pre-Kindergarten. Well-planned math program Count to 5 with meaning

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A Grade-by-Grade Progression of “A Story of Units”

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  1. A Grade-by-Grade Progression of “A Story of Units” Scott Baldridge Common Core August 14, 2012 Part 1 of 2 (Grades K – 2)

  2. Plan: Step through “A Story of Units” grade-by-grade.

  3. Overview Chart

  4. Pre-Kindergarten Well-planned math program Count to 5 with meaning Explore the definitions of circle, rectangles, etc. “How many” up to 10 using familiarity with 5

  5. Pre-Kindergarten Comparisons: small, big, large, tall, etc. Fluency with meaning of numbers 1-10, counting numbers 1-20.

  6. Kindergarten Same themes as Pre-K Numbers 1-10 with “1 more, 1 less” Comparisons: taller than, shorter than, longer than, heavier than—leading to…

  7. Kindergarten • 7 • 4 • 3 • More than, less than: • 7 is 2 more than 5 • 7 is 2 less than 9 • 1 more, 2 more, 3 more than • Comparing numbers leads to number bonds: • 3 is less than 7. 3 and 4 make 7. • Number bonds lead to addition/subtraction

  8. First Grade • 8 + 5 = 8 + (2 + 3) = (8 + 2) + 3 = 10 + 3 = 13 Fluency with add/subtract facts begins right away and continues the entire year Main strategy for adding/subtracting across a 10: “make 10”This strategy begins the realization of…

  9. First Grade A major concept goal for first grade: Group “10 ones” as a single unit: 1 ten Module 3 on length provides a few weeks to practice “making a ten” and also allows for a wider variety of word problems “Add within 40” module establishes 1 ten

  10. First Grade “Add within 100” module begins model work with addition and subtraction of two 2-digit numbers In between these two heavy-duty number modules is a module on shapes

  11. Second Grade The first module on “numbers to 20” is the beginning of a yearlong fluency program on numbers and time The second module on measurement plays a key role in grade 2: it establishes the meaning of the term “unit.” Place value units are the study of the third module. In particular, …

  12. Second Grade • 1 • 2 6 7 • + 2 6 2 9 3 • Place value units are the basis of the algorithms • 7 ones + 6 ones = 13 ones = 1 ten 3 ones • 1 ten + 6 tens + 2 tens = 9 tens

  13. Second Grade 1 apple, 2 apples, 3 apples, ...1 ten, 2 tens, 3 tens, …leads to 1 three, 2 threes, 3 threes, … 4 threes = 12 ones

  14. Second Grade Last modules end with: Money: dollars, dimes, pennies (and nickels and quarters) Analog clocks (curved number line) Simple fractions and clocks

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