Checkpoint 1 - Number Sense/Real Numbers

Checkpoint 1

Date: September November

Focus Area: Number Sense/Real Numbers

Key Concepts:

• Number Sense: This refers to the ability to understand, interpret, and work with numbers. It encompasses several skills including estimation, number relationships, and the ability to perform mental math.

• Real Numbers: These are the set of numbers that include all the rational numbers (like integers, fractions) and all the irrational numbers (like π and √2). Real numbers can be represented on the number line, which contains both positive and negative numbers as well as zero. They can be categorized as follows:

  • Rational Numbers: Numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples include $\frac{1}{2}$, $3$, and $-4$.
  • Irrational Numbers: Numbers that cannot be expressed as a fraction of two integers. They have non-terminating, non-repeating decimal representations. Examples include $ext{π}$ and $ext{e}$.

Additional Notes:

• Understanding real numbers and how to manipulate them is crucial for further studies in mathematics, as they are the foundation for algebra, calculus, and statistics.
• Competence in number sense helps in developing problem-solving skills and mathematical reasoning necessary for more advanced mathematical concepts.

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