Activities for the Constructive Triangles

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Constructive Triangles

Sensorial Activities:

  • Using one of each triangle, introduce whole hand exploration
  • Using one of each triangle, introduce shape language. Only use three triangles at a time. Label each while pointing to each one. Play a game asking your child "where is the ...". Once the child has mastered this game, then specifically ask for a particular triangle and see if they can find it.
  • For those with double shapes, the triangles can be matched both visually and then tactually (with their eyes shut).
  • Have children feel the triangles inside their bag, or in a covered basket, or just with their eyes shut and see if they can identify the shape by touch or if they can tactually find a shape that is requested.

Constructive Activities:

Note: Constructive Triangles may be used on their own. However, it is very open ended and you must observe the child to ensure they can build all the demonstrated shapes. If you wish to provide the child with a means of self-correction, then use our Constructive Triangle Inset Board with the Constructive Triangles.

  • Lay the triangles out in front of you. Hold your hand out to form a right angle with your thumb and fingers. Run your finger along the right angle your hand forms and label it as a right angle. Slide one of the right angle triangles in front of you so that it's right angle fits in the right angle your hand forms. With your other other hand trace the right angle and label it as a right angle and then continue to trace the rest of the triangle. Label the triangle as a right angle triangle. Give your child a turn. Repeat for the other right angle triangles - placing them in a row after your child has had a turn with each. Slide the equilateral triangle in front of you into your hand's right angle. Try it's other sides. Note that none of the sides are right angles. Starting in a right angle position angle your fingers downward forming the correct acute angle. Label it as an acute angle Repeat with the other sides. Label the triangle as an acute angle triangle and place it in a new row after your child has had a turn. Slide the obtuse angle scalene triangle in front of you. Note that none of the sides are right angles. Slide the acute angle into the right angle formed by your hand. Angle your fingers downward forming the correct acute angle. Label it as an acute angle. Repeat for the other acute angle. Slide the obtuse angle into the right angle made by your hand. Stretch your fingers to form the obtuse angle. Label it an obtuse angle. Label the triangle as an obtuse angle triangle and set it in a new row after your child has had a turn.
  • Lay out all the triangles in front of you and ask for the right angle triangles. Test fit it with your hand and acknowledge if it is a right angle or not. Repeat for the acute angle triangles and obtuse angle triangles. If your child cannot do this, then repeat the above exercise the next time.
  • Lay out all the triangle in front of you. Select a triangle and hand it to the child asking what kind of triangle it is. Repeat for the others. If your child cannot do this, then repeat the above exercise the next time.
  • Lay out the triangles in front of you. Select an equilateral triangle. Trace it's edge pausing at each point. Label it as an equilateral triangle. Give your child a turn. Select an isosceles triangle, trace it's edge pausing at each point. Label it as an isosceles triangle. Give your child a turn and then set it below the equilateral triangle. Select a scalene triangle, trace it's edge pausing at each point. Label it as a scalene triangle. Give your child a turn and then set it below the isosceles triangle. Select the remaining triangles one at a time, trace each edge as before, label it appropriately and put it in the correct row after giving your child a turn.
  • Lay out the triangles in front of you. Ask the child for a triangle by side type (equilateral, isosceles, scalene). Take the triangle and sort into rows as above as you receive the triangles. Repeat until all triangles are sorted. If your child cannot do this, then repeat the above exercise the next time.
  • Lay out the triangles in front of you. Select a triangle and hand it to your child and ask what it is. Repeat for all triangles. If your child cannot do this, repeat the above exercise the next time.
  • Lay out all the triangles in front of you. Select the equilateral triangle, trace it's edge and label it as equilateral. Give your child a turn. Select a right angle scalene triangle, test fit the angle with your hand, trace it's edge, and label it as a right angle scalene triangle. Give your child a turn and then set it below the equilateral triangle. Select a right angle isosceles triangle, test fit the angle with your hand, trace it's edge, and label it as a right angle isosceles triangle. Give your child a turn and then set it below the right angle scalene triangle. Select the obtuse angle scalene triangle, test fit it's angle, trace it's edge and label it as an obtuse angle scalene triangle. Give your child a turn and then set it below the right angle isosceles triangle. Take each remaining triangle one at a time, test fit the angle, trace it's edge, label it and sort it appropriately, giving your child a turn each time.
  • Lay out all the triangles in front of you. Ask for a triangle by name and then sort it. If your child cannot do this, repeat the above the next time.
  • Lay out all the triangles in front of you. Select a triangle and ask the child what kind it is. Repeat for all the triangles. If your child cannot do this, repeat the above the next time.
  • Lay out all the equilateral triangles, the identical right angle isosceles triangles, and the identical right angle scalene triangles. Select the equilateral triangles. Push the two triangles together forming a rhombus. Trace the rhombus and label it. Select the identical right angle isosceles triangles. Push them together to form a square. Trace the square and label it. Select the identical right angle scalene triangles. Push them together to form a rectangle. Trace the edge and label it. Separate the three pairs of triangles and give your child a turn.
  • Lay out the identical right angle isosceles triangles and the identical right angle scalene triangles. Form a parallelogram with the right angle isosceles triangles, trace it's edge and label it. Form a parallelogram with the right angle scalene triangles - matching the long sides, trace it's edge and label it. Rearrange the right angle scalene triangles, matching the shorter sides to form a different parallelogram, trace it's edge and label it. Separate the triangles and give your child a turn.
  • Lay out the small right angle scalene triangle and the obtuse angle scalene triangle. Push them together to form a trapezoid. Trace it's edge and label it a trapezoid. Give your child a turn.
  • Lay out the two right angle scalene triangles. Form two different parallelograms, two different isosceles triangles, and a kite by putting together edges of the same length. Trace and label each after it has been formed. Give your child a turn.
  • Lay out the two right angle isosceles triangles and form a square, two different parallelograms, and two different triangles by putting together edges of the same length. Trace and label each after it has been formed. Give your child a turn.
  • Lay out the two equilateral triangles and form a rhombus and lay out the obtuse angle and small scalene triangles and form a trapezoid. Trace and label each after it has been formed. Give your child a turn.
  • Trace the triangles onto paper.
  • Trace the triangles onto paper and label.
  • Trace combinations of triangles onto paper.
  • Trace combinations of triangles onto paper and label.

Constructive Triangle Inset Board

  • Set the Inset Board, filled with a set of the Constructive Triangles, in front of you. Remove the triangles and set them above the appropriate inset.
  • With your finger, trace the first shape in the inset board: the triangle. Select a right angle isosceles triangle. Trace its edge. Place it into the inset board. Trace the remaining space. Select the other right angle isosceles triangle. Turn it so it will fit into the inset board. Trace its edge. Place it into the inset board to complete the first inset. Trace the completed new triangle.
  • Repeat the above for the remaining insets, using the appropriate triangles.
  • Repeat above labeling the piece after tracing it and labeling the base inset after tracing it.
  • Insert triangles after setting the triangles in random order.
  • Insert triangles after setting the triangles in random order behind you.