Grounded in research and aligned to the California Preschool/Transitional Kindergarten Learning Foundations (PTKLF) and the Head Start Early Learning Outcomes Framework (ELOF), the Family Math — Play & Learn app is designed to support children’s development across six foundational math domains for children ages 3-5:
1. Number Sense & Counting
Learning Goals
Children will:
- Count to tell how many objects are in a group
- Identify without counting the number of objects in a group (subitize)
- Recognize and name numbers from 1 to 10
- Understand that every object in a group gets one count (one-to-one correspondence)
- Understand that the last object counted in a group represents the total amount (cardinality)
Curriculum Alignment
PTKLF Strand 1.0 – Counting & Cardinality
- Foundation 1.1, 1.2, 1.3, 1.4
ELOF Sub-Domain – Counting & Cardinality
- Goal P-MATH 1, 2, 3, 4, 5
Learning Experiences
2. Measurement
Learning Goals
Children will:
- Describe measurable attributes of objects, such as length and weight
- Directly compare two objects with a measurable attribute in common to see which has “more of” or “less of” the attribute
- Use non-standard units of measurement to measure and compare objects
Curriculum Alignment
PTKLF Strand 3.0 – Measurement and Data
- Foundation 3.1, 3.2, 3.3
ELOF Sub-Domain – Measurement
- Goal P-MATH 8
Learning Experiences
3. Shapes
Learning Goals
Children will:
- Identify familiar two- and three-dimensional shapes
- Identify the shape's attributes, such as sides and angles (corners)
- Count the number of sides and angles to determine what shape it is
- Combine and separate shapes to make new shapes
Curriculum Alignment
PTKLF Strand 4.0 – Geometry and Spatial Thinking
- Foundation 4.1, 4.2, 4.3, 4.4, 4.6
ELOF Sub-Domain – Geometry and Spatial Sense
- Goal P-MATH 9
Learning Experiences
4. Patterns
Learning Goals
Children will:
- Understand that patterns follow a regular structure and rules for repeating
- Make patterns with sounds, words, objects, colors, numbers, and routines
- Extend or create alternating patterns (e.g., ABAB)
Curriculum Alignment
PTKLF Strand 2.0 Operations and Algebraic Thinking
- Foundation 2.6, 2.7
ELOF Sub-Domain – Operations & Algebraic Thinking
- Goal P-MATH 7
Learning Experiences
5. Sorting & Collecting
Learning Goals
Children will:
- Identify objects’ characteristics (attributes) like size, shape, and color
- Sort objects into groups based on the same or different attributes
- Sort objects by more than one attribute (e.g., by size and color)
Curriculum Alignment
PTKLF Strand 2.0 Operations and Algebraic Thinking
- Foundation 2.5
Learning Experiences
6. Spatial Sense
Learning Goals
Children will:
- Describe features of objects in space (e.g., tall, large, long)
- Identify where objects are in relation to one another (e.g., between, next to, behind)
- Describe how objects move (e.g., across, over, backward)
Curriculum Alignment
PTKLF Strand 4.0 – Geometry and Spatial Thinking
- Foundation 4.5
ELOF Sub-Domain – Geometry and Spatial Sense
- Goal P-MATH 10
Learning Experiences
