How can I master geometry

Geometry in Elementary School: How Your Child Can Learn It Easily

Practice geometry: Promotion of spatial imagination

Since an essential aspect of the environment is its geometric structure, i.e. normal everyday objects are presented in a rectangular, square, round or triangular shape, for example, geometry lessons in math make an important contribution to environmental exploration. In addition, there are geometric components in all areas of mathematical thinking: Diagrams, pictures, representations etc. They form the basis of understanding in arithmetic.

In order to understand and use geometry in elementary school, your child needs spatial imagination. That is why practicing geometry inseparably includes the conscious promotion of the spatial conception. This starts in the first grade. Read our learning tips for maths on practicing geometry / geometry in primary school here.

By gaining experience with concrete material, schoolchildren learn to find their way around in an environment that is determined by shapes, figures and bodies with the help of spatial concepts.

This includes:
  • Spatial orientation as the ability to really or mentally orientate oneself in space (above, below, in front, behind, next to ...)
  • spatial orientation as the ability to reproduce objects in the imagination (imagine a Lego brick, what shape does it have?)
  • Spatial thinking as the ability to operate mentally with imaginary content (if you knock this Lego block over, what does it look like?)

It is very important to enable the child to actively perceive the figures of geometry in elementary school, not through language, but rather through the senses (touch, turn, turn, paint). When practicing geometry, it should organize, rearrange, arrange, disassemble, assemble, construct and analyze geometrical structures.

Geometry in Elementary School: Experiencing Shapes and Symmetry

The simple basic shapes (flat figures) of the geometry in the elementary school square, circle, triangle, rectangle and polygon must be mastered by your child before they can work with the more complex geometrical figures.

Ask your child while practicing geometry:

  • Which shape has no corners? (Circle)
  • What shape has three corners? (Triangle)
  • What shape has four corners and four sides of equal length? (Square)
  • What shape has four corners and sides of different lengths? (Rectangle)
  • Which shape has more than four corners? (Polygon)

Help him practice geometry then through active activities such as cutting out, painting, handicrafts or kneading to experience these figures very intensively. You can do this at home with the following learning tips and exercises.

Practical experience of geometry in elementary school:

  • Have your child color and name such shapes exactly.
  • Have it cut out poinsettias.
  • Have them paint circles as water bubbles for decorating the birthday card.
  • Look out for squares, rectangles, circles and triangles in the magazines with your child.
  • Motivate your child to discover patterns on walks or when shopping.

To recognize and understand a symmetry, your child should create, for example, jumping jacks, buildings or stars by cutting out of folded paper. Your child can fold a piece of paper in the middle and cut a figure out of it. When you open it, funny fantasy structures or specific shapes with an easily recognizable axis of symmetry emerge. This is a nice and exciting geometry exercise that your child is sure to enjoy.

Playing with patterns

Throughout primary school, your child will develop the ability to trace and design patterns and ornaments. Circular patterns are increasingly being included and, in addition to the terms straight line, line segment, ray, and others, the terms center point, diameter and circular area are also used. By working with patterns, your child learns to recognize axially symmetrical figures and to draw the symmetry axes in figures.

Recognize area and perimeter

To train the ability to combine, your child should lay out and redesign areas. He works well when he plays with shape tiles (square, triangle). To do this, he or she can put a figure in front of it with chopsticks, for example a rectangular horse paddock, and then try to lay it out with the given shapes. In doing so, it learns the preliminary stage for comparing and measuring areas as well as the concepts of scope and size. In school he is slowly getting to know three-dimensional shapes such as the ball, the cube, the cylinder, the pyramid and the cuboid, with which he will work regularly from the 5th grade onwards.


With set square, compass and ruler

If your child can confidently differentiate between the planar forms, finds symmetries and can also lay out surfaces, from the 3rd grade onwards they will be able to increasingly solve geometric tasks with drawings. Rulers and set square are introduced in order to be able to draw straight lines, rays, lines and right angles. You can also playfully support your child with this.

Let it...

  • design special letters or fonts
  • Underline words with the ruler
  • Draw marginal lines in exercise books
  • Frame texts
  • Color in the figures exactly to the edge
  • Paint pictures where dots need to be connected
  • complete started figures
  • Paint the figures
  • draw on squared paper
  • Draw circles with the compass

It is always important to have fun and relate to everyday life. Many children still have difficulty working properly when using the drawing instruments. But without straight lines, it is difficult to calculate routes exactly or to draw triangles properly. Therefore, promote fine motor skills in everyday life and continue to attach importance to legible, tidy typeface. Very important for math: Your child should strictly follow the math boxes and also pay attention to the correct positions from the beginning when writing together tasks.

What do i need this for?

Especially in geometry it is easy to relate to the child's everyday life. It finds forms in abundance in a near and far environment. Take a small shape quiz and assign points for correctly answered questions. What shape has

  • a marble (ball)?
  • a playing card (rectangle with rounded corners)?
  • a CD or DVD (circle)?
  • a bill (rectangle)?
  • a cube (parallelepiped)?
  • a round cake pan (circle)?
  • the road sign: Pay attention to the right of way (triangle)?
  • a postcard (rectangle)?
  • a postage stamp (square or rectangle)?
  • a pizza corner (triangle)?
  • a brick (cuboid)?
  • a coin (circle)?
  • a ball?
  • a piece of cake (triangle)?
  • a container (cuboid)?
  • a sail from a ship (triangle)?
  • a flat drum (circle)?

But also try these questions with objects that are not so easy to identify. What shape is a flower, a chair or a car? Try to take these things apart with your child in such a way that shapes can be created out of the overall picture (the tires on the car are circles, the door is a rectangle, etc.).