Fractions
Parts of the whole (less than 1)

Equal to =

What: When two things are exactly the same amount
Why: Helps us know when things match or are the same inquantity or valu
How does it help: Builds foundation for algebraic thinking and balanced equations

Geometric patterns form the foundation of many mathematical principles and can be observed in various forms:


  • Regular polygons and their properties
  • Tessellations and surface coverings
  • Symmetry in natural and man-made objects
  • Fractal patterns and self-similarity
Geometric Pattern Example

Greater than/Less than

What: Special symbols that show which number is bigger
Why: Helps us quickly show relationships between numbers
How does it help: Develops logical thinking and number sense through direct comparison

There are several types of symmetry in mathematics:


  • Reflection symmetry (flip)
  • Rotational symmetry (turn)
  • Translational symmetry (slide)
  • Point symmetry
Symmetry Examples

Number Ordering

What: Putting numbers in order from smallest to biggest (or biggest to smallest)
Why: Helps us organize and find numbers easily
How does it help: Strengthens sequential thinking and number magnitude comprehension

Tessellations can be created using:


  • Regular polygons
  • Irregular shapes
  • Transformed shapes
  • Combined patterns
Tessellation Examples

Value Comparison

What: Deciding which thing has more worth
Why: Helps us make smart choices
How does it help: Develops practical math skills used in daily life

Famous examples of fractals include:


  • The Mandelbrot Set
  • Koch Snowflake
  • Sierpinski Triangle
  • Dragon Curve
Fractal Examples

Related Resources

Math Resource Library Base-10 Practice Problems Teacher Implementation Guide Video Tutorial Series