For a 5-year-old learning Singapore Math, the emphasis is on establishing a solid foundation in basic mathematical concepts. Here are some specific learning goals:

Number Recognition: Recognize and name numbers from 1 to 10.

Counting and Cardinality: Count orally to 10 and understand that each successive number refers to a quantity that is one larger.

Number Sense: Develop a sense of the relative magnitude of numbers (e.g., understanding that 4 is less than 6).

Basic Addition and Subtraction: Begin to understand the concept of combining and separating numbers within 10.

Shapes and Patterns: Recognize and name common shapes (e.g., circles, squares, triangles) and identify simple patterns.

Measurement: Begin to compare lengths, weights, and volumes using everyday objects (e.g., longer/shorter, heavier/lighter).

Data Handling: Sort and classify objects based on simple attributes (e.g., color, size).

Basic Problem Solving: Begin to solve simple mathematical problems using concrete objects, pictures, or mental strategies.

Spatial Awareness: Develop spatial awareness by understanding concepts like near/far, top/bottom, inside/outside, etc.

Basic Vocabulary: Learn and use basic mathematical vocabulary, such as more/less, bigger/smaller, add/take away, etc.

Fine Motor Skills: Strengthen fine motor skills through activities like counting small objects, drawing shapes, and using basic measuring tools.

Mathematical Communication: Begin to express mathematical ideas verbally and visually, and understand and follow simple math instructions.

Enjoyment and Confidence in Math: Cultivate a positive attitude towards math, fostering a love for learning and a sense of confidence in one's mathematical abilities.

These goals are designed to provide a strong foundation for further mathematical learning. It's important to approach these objectives with patience, creativity, and a focus on making learning an enjoyable and interactive experience for young learners.