An on-going math class for kindergarten students based on Common Core math standards is a great way to help young learners develop essential math skills. Below is a comprehensive plan with three sessions per week, focusing on key math concepts and skills aligned with the Common Core standards for kindergarten:

Week of Oct 8:
 Counting and Cardinality
 Introduction to Numbers
- Objective: Recognize and write numbers 0-10.
- Activities: Counting objects, tracing numbers, number identification games.

Week of Oct 15:
Counting and One-to-One Correspondence
- Objective: Counting objects accurately and understanding one-to-one correspondence.
- Activities: Counting various objects, number songs, interactive counting games.

Week of Oct 22:
 Understanding Number Order
- Objective: Sequencing numbers from 0 to 10.
- Activities: Number sequencing exercises, number puzzles, number line exploration.

Week of Oct 29: 
Operations and Algebraic Thinking
Introduction to Addition
- Objective: Understanding addition as putting together.
- Activities: Addition with objects, visual addition problems, addition stories.

Week of Nov 5: 
Introduction to Subtraction
- Objective: Understanding subtraction as taking apart.
- Activities: Subtraction with objects, visual subtraction problems, subtraction stories.

Week of Nov 12:
Addition and Subtraction Fluency
- Objective: Develop fluency in basic addition and subtraction facts within 5.
- Activities: Flashcards, math fact drills, and simple addition/subtraction games.

Week of Nov 19:
Measurement and Data
Introduction to Measurement
- Objective: Understanding and comparing the length, height, and weight of objects.
- Activities: Measuring with non-standard units, comparing sizes, and discussing concepts of longer/shorter, taller/shorter, heavier/lighter.

Week of Nov 26: Introduction to Shapes and Geometry*
- Objective: Recognize and describe basic shapes (e.g., square, circle, triangle, rectangle).
- Activities: Shape recognition games, sorting shapes, and building with shapes.

Week of Dec 2:
 Data Analysis and Graphing
- Objective: Collecting and organizing data in simple graphs.
- Activities: Creating and interpreting bar graphs and pictographs using everyday data.

More dates and topics to come.