Ideas beyond Number SO SOLID Activity worksheets
... all intents and purposes this might do if we were just looking for something which looks okay but, hey, we’re mathematicians! E. What would you do now? How close can you get? Use a spreadsheet or a calculator, if that would help. How many operations does it take before you think you are close enough ...
... all intents and purposes this might do if we were just looking for something which looks okay but, hey, we’re mathematicians! E. What would you do now? How close can you get? Use a spreadsheet or a calculator, if that would help. How many operations does it take before you think you are close enough ...
Lesson Plan
... parallelogram can be applied to a rhombus plus three other characteristics: The diagonals of a rhombus are perpendicular Each diagonal of a rhombus bisects a pair of opposite angles. Square a quadrilateral with four right angles and four sides that are congruent. Squares have all of the properties o ...
... parallelogram can be applied to a rhombus plus three other characteristics: The diagonals of a rhombus are perpendicular Each diagonal of a rhombus bisects a pair of opposite angles. Square a quadrilateral with four right angles and four sides that are congruent. Squares have all of the properties o ...
Lesson Plan
... I will introduce the concept of parallel lines within a triangle and how they form similar triangles. If we have time after the homework review we will use protractors to show that the angles within the triangles are equal and therefore similar. The most important Theorem to teach in this chapter is ...
... I will introduce the concept of parallel lines within a triangle and how they form similar triangles. If we have time after the homework review we will use protractors to show that the angles within the triangles are equal and therefore similar. The most important Theorem to teach in this chapter is ...
Penrose tiling
A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:It is non-periodic, which means that it lacks any translational symmetry. It is self-similar, so the same patterns occur at larger and larger scales. Thus, the tiling can be obtained through ""inflation"" (or ""deflation"") and any finite patch from the tiling occurs infinitely many times.It is a quasicrystal: implemented as a physical structure a Penrose tiling will produce Bragg diffraction and its diffractogram reveals both the fivefold symmetry and the underlying long range order.Various methods to construct Penrose tilings have been discovered, including matching rules, substitutions or subdivision rules, cut and project schemes and coverings.