Information about Pstti montessori method trinomial cube

ACKNOWLEDGEMENT I would like to express my special thanks of gratitude to the Montessori Teacher Mrs. Prathima as well as our Principal Mrs.Sadaf who gave me the golden opportunity to work on wonderful project on Trinomial Cube. I am happy to take up and successfully complete this project for Montessori Mathematics. I also like to thank my family for supporting me in completion of the project. Have taken the help from infomontessori.com in finishing this project within the available time period. This project has provided me knowledge in understanding the visual concepts of Trinomial Formula. I am thankful to all of them from PSTTI who have helped me directly or indirectly in completion of the project.

AIMS AND OBJECTIVES The purpose and aim of Trinomial Sensorial work is for the child to acquire clear, conscious, information and be able to then make classifications in their environment Montessori saw the importance of the manipulation of objects to aid the child in better understanding of the environment. Through the child’s work with Sensorial material, the child is helped to make abstractions, making distinctions in their environment. The child is given the knowledge not through word of mouth, but through their own experiences. At the Primary level these are presented as puzzles that challenging for child.

INTRODUCTION TRINOMIAL CUBE Meaning of Trinomial cube is : (a+b+c)3 =a3 +b3 +c3 +3a2b+3a2c+3ab2+3b2c+3ac2+3bc2+6abc Importance is expanding and clearly understanding the equation with touch and eye contact

MATERIALS A box with: 3 wooden cubes: 1 red, 1 blue, and 1 yellow. 6 red and black prisms, 6 blue and black prisms, 6 yellow and black prisms, 6 all black prisms. All the pieces, once assembled, form a cube of a trinomial (a+b+c)3 The square of the trinomial is painted on the lid.

LAYOUT

THE SIZES OF CUBES ARE: First layer of cubes size is : 4*4*4 Second layer of cubes size is :3*3*3 Third layer of cubes size is :2*2*2 TOTAL 27 PRIMS IN TRINOMIAL CUBE. All the size of 4*4 faces are in RED. All the size of 3*3 faces are in BLUE. All the size of 2*2 faces are in YELLOW. All non-square faces are in BLACK.

FIRST LAYER

SECOND LAYER

THIRD LAYER

INVITATION Invite the child to come and work with you. Show him the Trinomial Cube box and tell him its name. Have him bring it over to the table and place it near the top left corner of the table. PREPERATION Before the presentation, check the box to make sure it has been put back correctly.

PRESENTATION Remove the lid and place it on the diagonal of the box and so the painting is facing up. Pull down one side at a time. Carefully and gently take out all of the prisms, keeping each level together. Bring the child’s attention to the red cube. Replace it into the back left corner of the box. Slide it into place. Point to one of the red sides of the cube and then look for a prism that also has a red side. Place the correct prism in front of the red cube. Replace the first level by working your way from the back left corner to the front and then from the right side to the front. Replace the second and third level in the same manner. Close the box, one side at a time and then replace the lid. Invite the child to work with the trinomial cube.

POINT OF INTERSET The moment at which the last piece is placed in building the cube. CONTROL OF ERROR If the cube is not formed. LANGUAGE No language is given with this material.

EXERCISES Exercise 1 The child works individually with the trinomial cube as shown in the presentation.

Exercise 2 Invite the child and set up the box as done for the presentation. Remove all of the prisms and place them all together to the right of the box. Then close the box and place it to the side. Build the trinomial cube as in the presentation, but this time without the help of the box. Then isolate each layer as you had done for the binomial cube. The child can isolate each layer by building one layer at a time.

Exercise 3 Repeat the building of the trinomial cube outside of the box. Then, disassemble the cube and line each prism by colour: the reds together, the blues together, the yellows together, and the blacks together. Then, mix them up. Place each cube in a row but with space between each. Ask the child to find a prism with the same height as the red cube (it can be of any colour). Line up every one in a line in front of the red cube. Find the same for the blue cube and the yellow cube (you can also use the prisms from the other lines). Notice that there are always 6 prisms left.

DIRECT AIM To build the cube. INDIRECT AIM Preparation for mathematics: the cube of the trinomial .Introduction for algebra and preparation for the proof of the formula (a+b+c)3 at Elementary Level. AGE 4 Years.

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