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Mathematics Homeschool Curriculum Skills List | Faith-Based Kindergarten

Math skills are introduced with manipulative activities that help the child see and work through the concept in a tactile manner that encourages understanding. This is followed by an individual activity or practice worksheet (included in the lesson).

Whole numbers and Sets

  • Count by ones forward from 1 to 100 and backward from any number in the range of 10 to 1.
  • Recognize, read aloud, and write the numerals in order from 0 to 31.
  • Locate numbers from 1 to 31 on a number line.
  • Identify a number that comes after a given number.
  • Identify a number that comes before a given number.
  • Understand that numerals stand for a number of items.
  • Compare sets of objects and say whether the number of objects in one set is equal to, greater than, or less than the number of objects in the other sets.
  • Develop the ability to understand and use ordinal numbers, first through tenth.
  • Apply ordinals to daily experiences.

Patterns and Operations; Algebraic Thinking

  • Copy, extend, describe, and create simple repetitive patterns.
  • Translate a pattern among sounds, symbols, movements, and physical objects.
  • Model addition by joining sets of objects and note that the new set is more than any of the original sets.
  • Add horizontally and vertically to ten.
  • Model subtraction by removing a set from a given set and note that the number left is less than the original set.
  • Subtract horizontally and vertically to ten.
  • Use addition and subtraction to solve problems.


  • Identify, name, and describe circles, triangles, rectangles, squares, cubes (boxes), spheres (balls), and cylinders (cans).
  • Sort shapes and explain the sorting rule.
  • Classify objects according to color, shape, size, function, likenesses, and differences.
  • Describe the location of one object relative to another object using words such as first, last, between, in, out, over, under, above, below, between, next to, behind, and in front of.

Measurement and Estimation

  • Develop a sense of time relationships.
    • calendar
    • clock: to the hour
    • sequencing of events
  • Identify dates on a calendar.
  • Solve problems using a calendar.
  • Identify yesterday, today, and tomorrow.
  • Identify days of the week and months of the year.
  • Identify days of the week and the weekend.
  • Identify morning, afternoon, evening, and night.
  • Make direct comparisons using measurable attributes such as length, weight, and capacity.
  • Understand that one task may take more or less time to accomplish than another task. Make an estimate and experiment to test the estimate.
  • Understand that one item may weigh more or less than another item. Make an estimate and experiment to test the estimate.
  • Understand that one item may hold more or less than another item. Make an estimate and experiment to test the estimate.

Reasoning, Problem Solving, and Communication

  • Identify the questions asked in a problem.
  • Recognize when additional information is required to solve a problem.
  • Use simple logic to solve a problem.
  • Describe how the problem was solved.
  • Determine whether a solution to a problem is reasonable.


  • Identify pennies, nickels, dimes, and quarters.
  • Understand the value of coins.


  • Recognize one half of a given whole.
  • Recognize equal parts of a whole.

Statistics and Probability

  • Collect and sort data.
  • Make an inference, and experiment to test the inference.


  • Use simple picture graphs, bar graphs, tables, and charts to solve problems and record information.
  • Compare information and draw conclusions using graphs.

Calculators and Computers

  • Demonstrate how a calculator works.
  • Use a simple calculator to add and subtract sets.
  • Demonstrate how to use a mouse to play a computer game.