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

8. First Grade 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 Place value units are the basis of the algorithms 7 ones + 6 ones = 13 ones = 1 ten 3 ones 7 ones + 6 ones = 13 ones = 1 ten 3 ones 1 ten + 6 tens + 2 tens = 9 tens 1 ten + 6 tens + 2 tens = 9 tens  1  2 6 7  + 2 6 2 9 3

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