# Math Path (Concepts and Skills for K-3rd Grade)

Here is a list of numeracy concepts and skills the Teacher Toolkit and Multiplication Decks provide practice with. These are some of the numeracy concepts and skills from the Common Core Math Standards and other math research.

Kindergarten Concepts and Skills:

• Recognize and write numerals
• Understand the relationships of more, less, and the same
• Subitize numbers up to 5 (recognize up to five objects automatically without counting)
• Combine and partition 5 (know the combinations that equal 5: 1 and 4, 2 and 3, etc.)
• Count within 100 by ones and tens
• Fluently add and subtract within 5
• Gain a foundation of basic place value of numbers 11-19

• Count forward and backwards by ones, tens (on and off decade), fives, and twos
• Know one and two more, one and two less of a number
• Recognize spatial patterns and relationships up to 10 (recognize up to 10 objects in spatial patterns)
• Combine and partition numbers up to 10 (including five plus, doubles, and near doubles)
• Combine and partition 10 (know the combinations that equal 10: 1 and 9, 2 and 8, etc.)
• Fluently add and subtract within 10
• Understand place value of tens and ones

• Combine and partition numbers up to 20 (including 10 plus, 9 plus, doubles, and near doubles)
• Work with equal groups of objects to gain foundations for multiplication
• Understand place value of hundreds, tens, and ones

By the end of second grade, students need to be able to “fluently add and subtract within 20 using mental strategies and know from memory all sums of two one-digit numbers.”

• Use multiplication and division within 100 to solve word problems in situations involving equal groups and arrays

By the end of third grade, students need to “know from memory all products of two one-digit numbers.”*

The following Math Path is focused on Structuring Numbers 1-20 (combining and partitioning numbers up to 20).

### >>>>> Click here for Math Path for Structuring Numbers 1-20 <<<<<

Math Path for Structuring Numbers up to Ten:

• Subitizing
• Combinations of 5
• 5 and Some More
• Combinations of 10
• Doubles to 10
• Near Doubles to 10

Math Path for Structuring Numbers up to Twenty:

• 10 and Some More
• Doubles to 18
• Near Doubles to 18
• 9 and Some More
• Combinations of 20