factorization, cube, volume, Difference of Cubes, areaIf a cube is put into the corner of a larger cube, the region between them can be split up into three boxes of the same width. That region can also be split up into three congruent truncated pyramids (frustums). If the inside cube is put into the middle of the larger cube, the region between them can be split up into six congruent square frustums. The volume of a frustum is (1/3)h(A+(AB)^1/2 +B), where h is the height and A and B are the areas of the base and topComponente Curricular::Ensino Médio::Matemátic
Solid GeometryA cube is split into seven filled parts and one empty part. The process can be repeate...
In the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Steph...
In the fifth clip in a series of nine from the fourth of seven interviews in which 8th grader Stepha...
factorization, cube, volume, Difference of Cubes, areaIf a cube is put into the corner of a larger c...
If a square is put into the corner of a larger square, the region between them can be split up into ...
Knowledge about polyhedra and volumeThis Demonstration shows how to compute the volume of cones, tri...
The volume of a tetrahedron is equal to the determinant formed by writing the coordinates of the ver...
In the third clip in a series of nine from the fourth of seven interviews in which 8th grader Stepha...
Knowledge about polyhedra and volumeThis shows how to find the volume V of a triangular prism with b...
The volume of the King’s Chamber in the Great Pyramid is the sum of a sphere and a cube, both based ...
In the fourth clip in a series of seven from the third of seven interviews in which 8th grader Steph...
Students can sometimes struggle to comprehend key concepts linked to very small structures that they...
Cube, triangles, tetrahedra, inequalities, 2d, 3d, 4dThe permuted inequalities x<y<z, x<z<y, etc. sp...
In the eighth clip in a series of nine from the fourth of seven interviews in which 8th grader Steph...
In several earlier articles (Gough 1999 to2007) I have discussed some of theconceptual complexities,...
Solid GeometryA cube is split into seven filled parts and one empty part. The process can be repeate...
In the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Steph...
In the fifth clip in a series of nine from the fourth of seven interviews in which 8th grader Stepha...
factorization, cube, volume, Difference of Cubes, areaIf a cube is put into the corner of a larger c...
If a square is put into the corner of a larger square, the region between them can be split up into ...
Knowledge about polyhedra and volumeThis Demonstration shows how to compute the volume of cones, tri...
The volume of a tetrahedron is equal to the determinant formed by writing the coordinates of the ver...
In the third clip in a series of nine from the fourth of seven interviews in which 8th grader Stepha...
Knowledge about polyhedra and volumeThis shows how to find the volume V of a triangular prism with b...
The volume of the King’s Chamber in the Great Pyramid is the sum of a sphere and a cube, both based ...
In the fourth clip in a series of seven from the third of seven interviews in which 8th grader Steph...
Students can sometimes struggle to comprehend key concepts linked to very small structures that they...
Cube, triangles, tetrahedra, inequalities, 2d, 3d, 4dThe permuted inequalities x<y<z, x<z<y, etc. sp...
In the eighth clip in a series of nine from the fourth of seven interviews in which 8th grader Steph...
In several earlier articles (Gough 1999 to2007) I have discussed some of theconceptual complexities,...
Solid GeometryA cube is split into seven filled parts and one empty part. The process can be repeate...
In the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Steph...
In the fifth clip in a series of nine from the fourth of seven interviews in which 8th grader Stepha...