Math // Area
Counting & Cardinality
Age coverage
Ages 4 to 9
Starts at age 4 // 5 topics
Starting at age 4
- One-to-one counting
One-to-one correspondence when counting objects: each object is paired with exactly one number name
Ages 4 to 6Concept - How Many in Total?
Cardinality principle: the last number said when counting a set tells how many objects are in the set, regardless of arrangement or order counted
Ages 4 to 6Concept - Comparing groups: more or fewer
Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies
Ages 4 to 6Concept - Representing numbers with objects
Represent numbers using objects, pictorial representations, and the number line
Ages 4 to 6Representation - One More Each Time
Each successive counting number represents a quantity that is one larger than the previous number
Ages 4 to 6Concept
Starts at age 5 // 4 topics
Starting at age 5
Your child is building essential counting skills — learning that numbers have meaning, that each number represents a specific quantity, and beginning to compare groups to see which has more or fewer objects.
- Rote counting to 100
Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones
Ages 5 to 6Method - Counting in 2s
Count in multiples of 2, 5, and 10 (skip counting)
Ages 5 to 7Method - Counting objects to 20
Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
Ages 5 to 6Method - Two written numerals between 1 and 10
Compare two written numerals between 1 and 10 to determine which is greater or less
Ages 5 to 6Method
Starts at age 6 // 2 topics
Starting at age 6
Your child is building counting confidence — learning to skip count by 3s and count forwards and backwards in tens from any starting number.
- Counting forwards and backwards (age 6+)
Count forwards and backwards in tens from any number (not just multiples of 10)
Ages 6 to 7Method - Counting forwards and backwards
Count forwards and backwards in steps of 3 from 0
Ages 6 to 7Method
Starts at age 7 // 2 topics
Starting at age 7
Your child is developing counting confidence with larger numbers, practicing skip-counting patterns and counting up to 1000 by different amounts.
- Skip Counting (4s, 8s, 50s, 100s)
Count from 0 in multiples of 4, 8, 50, and 100
Ages 7 to 8Method - Counting Within 1,000
Count within 1000, including skip-counting by 5s, 10s, and 100s
Ages 7 to 8Method
Starts at age 8 // 1 topic
Starting at age 8
Your child is practicing skip-counting in larger number patterns, building fluency with multiples of 6, 7, 9, 25, and 1000.
- Counting in 6s
Count in multiples of 6, 7, 9, 25, and 1000
Ages 8 to 9Method