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Geometry

Explore shapes, angles, area, perimeter, volume, and geometric transformations.

10
Topic Areas
54
Total Lessons
9
Grade Levels

Geometry, grade by grade

Taught from Kindergarten through Grade 8. Each grade band below lists the skills its lessons teach, with one real problem from that band solved step by step.

Kindergarten–Grade 2

Taught through Shapes (Kindergarten) and Geometry (Grades 1–2) — 16 lessons.

Worked example · Grade 1 Geometry

An ice cream cone is shaped like a ___.

  1. Picture an ice cream cone.
  2. A cone has 1 flat circle face and comes to a point.
  3. So an ice cream cone is shaped like a cone.

Answer: cone

More Grade 1 geometry

Grades 3–5

Taught through Geometry (Grades 3–5) and Coordinate Plane (Grade 5) — 22 lessons.

Worked example · Grade 4 Geometry

A quadrilateral has exactly 1 pair of parallel sides. Those parallel sides are 14 cm and 6 cm long. What is the best name for it: square, rectangle, rhombus, parallelogram, or trapezoid?

  1. Check parallel sides first, then equal sides, then right angles. The best name is the most exact one that fits.
  2. Exactly 1 pair of parallel sides means it is not a parallelogram — so it is not a square, rectangle or rhombus either.
  3. A quadrilateral with exactly 1 pair of parallel sides is a trapezoid.

Answer: trapezoid

More Grade 4 geometry

Grades 6–8

Taught through Geometry (Grades 6–8) — 16 lessons.

Worked example · Grade 7 Geometry

A circle has a diameter of 6 centimeters. What is its circumference, in centimeters? Use 3.14 for π.

  1. The circumference of a circle is C = πd = 2πr.
  2. C = 3.14 × 6 = 18.84 centimeters.

Answer: 18.84

More Grade 7 geometry

Frequently Asked Questions

What geometry concepts do elementary students learn?

Elementary geometry progresses from identifying basic shapes (K-1st) to classifying shapes by attributes (2nd-3rd), understanding area and perimeter (3rd-4th), working with angles and symmetry (4th), coordinate graphing (5th), and surface area and volume (6th). Hands-on exploration with physical shapes is essential.

How do I make geometry fun for kids?

Geometry is naturally visual and hands-on. Build with blocks, go on shape hunts around the house, create art with geometric patterns, use tangrams and pattern blocks, measure rooms for area/perimeter, and explore symmetry in nature. These activities make abstract concepts concrete and engaging.

Why is geometry important for kids to learn?

Geometry develops spatial reasoning, which is crucial for math, science, engineering, and everyday tasks like reading maps, packing, and building. Research shows that strong spatial skills predict success in STEM fields. Early geometry also reinforces measurement, fractions, and algebraic thinking.

Need help finding the right level?

Take our placement quiz to find exactly where your child should start.