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

Scott BaldridgeScott Baldridge

Common CoreCommon Core

August 14, 2012August 14, 2012Part 1 of 2 (Grades K – 2)Part 1 of 2 (Grades K – 2)

Plan:Plan:

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

Overview ChartOverview Chart

Pre-KindergartenPre-Kindergarten

Well-planned math programWell-planned math program

Count to 5 with Count to 5 with meaningmeaning

Explore the definitions of Explore the definitions of circle, rectangles, etc.circle, rectangles, etc.

““How many” up to 10 using How many” up to 10 using familiarity with 5familiarity with 5

Pre-KindergartenPre-Kindergarten

Comparisons: small, big, large, tall, etc.Comparisons: small, big, large, tall, etc.

Fluency with meaning of numbers 1-10, Fluency with meaning of numbers 1-10, counting numbers 1-20.counting numbers 1-20.

KindergartenKindergarten

Same themes as Pre-KSame themes as Pre-K

Numbers 1-10 with “1 more, Numbers 1-10 with “1 more, 1 less”1 less”

Comparisons: taller than, Comparisons: taller than, shorter than, longer than, shorter than, longer than, heavier than—leading to…heavier than—leading to…

KindergartenKindergarten

More than, less than:More than, less than: 7 is 2 more than 57 is 2 more than 5 7 is 2 less than 97 is 2 less than 9 1 more, 2 more, 3 more than1 more, 2 more, 3 more than

Comparing numbers leads to Comparing numbers leads to number bonds: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 Number bonds lead to addition/subtractionaddition/subtraction

7

3 4

First GradeFirst GradeFluency with add/subtract facts begins Fluency with add/subtract facts begins right away and continues the entire yearright away and continues the entire year

Main strategy for adding/subtracting Main strategy for adding/subtracting across a 10: “make 10”across a 10: “make 10”

This strategy begins the realization of…This strategy begins the realization of…

First GradeFirst Grade

A major concept goal for first grade: A major concept goal for first grade:

Group “10 ones” as a single unit: 1 ten Group “10 ones” as a single unit: 1 ten

Module 3 on length provides a few weeks Module 3 on length provides a few weeks to practice “making a ten” and also allows to practice “making a ten” and also allows for a wider variety of word problemsfor a wider variety of word problems

““Add within 40” module establishes 1 tenAdd within 40” module establishes 1 ten

First GradeFirst Grade

““Add within 100” module begins model Add within 100” module begins model work with addition and subtraction of two work with addition and subtraction of two 2-digit numbers2-digit numbers

In between these two heavy-duty number In between these two heavy-duty number modules is a module on shapes modules is a module on shapes

Second GradeSecond Grade

The first module on “numbers to 20” is the The first module on “numbers to 20” is the beginning of a yearlong fluency program beginning of a yearlong fluency program on numbers and timeon numbers and time

The second module on measurement The second module on measurement plays a key role in grade 2: it establishes plays a key role in grade 2: it establishes the meaning of the term “unit.”the meaning of the term “unit.”

Place value Place value unitsunits are the study of the third are the study of the third module. In particular, …module. In particular, …

Second GradeSecond Grade

Place value units are the basis of Place value units are the basis of the algorithmsthe algorithms 7 ones + 6 ones = 13 ones7 ones + 6 ones = 13 ones

= 1 ten 3 ones = 1 ten 3 ones

1 ten + 6 tens + 2 tens = 9 tens1 ten + 6 tens + 2 tens = 9 tens

1 2 6 7 + 2 6

2 9 3

Second GradeSecond Grade

1 apple, 2 apples, 3 apples, ...1 apple, 2 apples, 3 apples, ...1 ten, 2 tens, 3 tens, …1 ten, 2 tens, 3 tens, …

leads to leads to

1 three, 2 threes, 3 threes, …1 three, 2 threes, 3 threes, …

4 threes = 12 ones4 threes = 12 ones

Second GradeSecond Grade

Last modules end with:Last modules end with:

Money: dollars, dimes, pennies (and Money: dollars, dimes, pennies (and nickels and quarters)nickels and quarters)

Analog clocks (curved number line)Analog clocks (curved number line)

Simple fractions and clocksSimple fractions and clocks