A Grade-by-Grade Progression of “A Story of Units” Common Core Part 1 of 2 (Grades K – 2)

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

Overview Chart

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

Pre-Kindergarten Comparisons: small, big, large, tall, etc. Fluency with meaning of numbers 1-10, counting numbers 1-20. No timeline as of yet on when it will be started/completed

Kindergarten Module 1: Numbers to 10 Module 2: 2-D and 3-D Shapes Module 3: Comparison of Length, Weight and Capacity and Numbers to 10 Module 4:Number Pairs, Add and Subtract to 10 Modules 5: Numbers 10-20, Count to 100 Module 6: Analyzing, Comparing and Composing Shapes

Connection to the Emphases?

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…

Kindergarten 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: (Decomposing and Recomposing Numbers) 3 is less than 7. 3 and 4 make 7. Number bonds lead to addition/subtraction 7 3 4

First Grade: Module 1: Sums and Differences to 10 Module 2: Intro to Place Value (Add, Subtract within 20) Module 3: Order, Compare Lengths as Numbers Module 4: Place Value, Comparison, Add and Subtract to 40 Module 5: Identify, Compose and Partition Shapes Module 6: Place Value, Comparison, Add and Subtract to 100

Connection to the Emphasis?

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… 8 + 5 = 8 + (2 + 3) = (8 + 2) + 3 = 10 + 3 = 13

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

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

Second Grade: Module 1: Sums and Differences to 20 Module 2: Add, Subtract Length Units Module 3: Place Value, Counting and Comparison to 1000 Module 4: Add and Subtract within 200 and Word Problems to 100 Module 5: Add and Subtract within 1000 and Word Problems to 100 Module 6: Foundations of Mult. And Division Module 7: Problem Solving with Length, Money and Data Module 8: Times, Shapes, and Fractions as Equal Parts of Shapes

Connection to the Emphasis?

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, …

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

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

Second Grade Last 2 modules end with: Problem solving with length, money and data Money: dollars, dimes, pennies (and nickels and quarters) Analog clocks (curved number line) Simple fractions as equal parts of shapes and clocks/time

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