**K-3 Curriculum Pathway for**

Counting and Cardinality & Number and Operations in Base Ten

Counting and Cardinality & Number and Operations in Base Ten

Grade 1

Grade 2

Kindergarten

Counting and Cardinality

Kindergarten

Count to 100 by ones and tens

Count forward from any given number within the known sequence

Know number names and write the numerals up to 20

Count to tell the number of objects

Compare numbers presented as written numerals between 1 and 10

Compare how the number of objects in one group relate to the number of objects in another

Number & Operations in Base Ten

Kindergarten

Work with numbers 11-19 to gain foundations for place value

.

Decompose numbers between 11 - 19 into tens and ones by grouping them using objects, drawings or equations

Number & Operations in Base Ten

Grade 1

Extend the counting sequence to 120

Use place value understanding of ones and tens

and properties of operations to add and subtract within 100

Understand the relationship between addition and subtraction

Expand the idea of 10 chunks to 120 to go up or down in the 10s place

Questions & Possible Resolutions

Grade 1

Q: Why 120?

PR: Random??

Q: Mentally finding 10 more or 10 less vs. concept of subtraction and addition?

PR: Be familiar with the core to read students' needs and also these two concepts might be separated in order to allow multiple access points to these ideas

Number & Operations in Base Ten

Grade 2

Count, read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

Skip count by 5's, 10's and 100's

Continue to understand place value

100 can be thought as a bundle of ten 10s

Compare two three-digit numbers

based on place value meaning

Use place value understanding and

properties of operations to add and subtract

Mentally add and subtract 10 or 100 to a given number between 100 - 900

Add up to 4 two-digit numbers

using properties of place value

Add or subtract two three-digit numbers

and understand that when we do that, we add and subtract by place value

Explain why addition and subtraction strategies work

, using place value and

the properties of operations

(explanations can be supported with drawings or objects).

Questions & Possible Resolutions

Grade 2

Q: Wondering why we don't do skip counting in earlier grades?

PR: We have noticed that although we do not call it skip counting we kind of do that before. For example, in kindergarten students have to count by 10's to 100 but it is not called skip counting.

Numbers & Operations in Base Ten

Grade 3

Use place value understanding and

properties of operations to perform multi-digit arithmetic.

Use place value understanding to round whole numbers to the nearest 10 or 100

Fluently add and subtract within 1000

Multiply one digit whole numbers by multiples of 10 in the range 10-90

Introduction

Conclusion Comments

Curriculum Structure:

It's difficult to re-arrange standards because they are not independent

It's difficult to analyze these strands without the context of everything else

No standard lives in isolation

Progression:

From an intuitive understanding of numbers and their meaning to a computational understanding of numbers under 1000

Questions and Possible Resolutions

Kindergarten

Q: What do you think the objective of decomposing a number should fall under?

PR:

Place value

or

comparing

or is it both

Question

How do you think a student can go from an intuitive understanding of numbers and their meaning to a computational understanding of numbers under 1000?

Number Sense in K-3

This presentation is broken down by grade and the objectives have been broken down into 4 categories:

Counting

Comparing

Operations

Place value

Questions and Possible Resolutions

Grade 3

Q: Why does the Number and Base Ten strand seem so small?

PR: Because other strands like "Operations and Algebraic Thinking" and "Measurement and Data" are seen in more depth by expanding the concepts from the Number and Operations in Base Ten

Notice that fractions and division are in grade 3 but not in the NBT strand

Grade 3