This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems. Students will: Analyze characteristics and properties of two- and three-dimensional geometric shapes; develop mathematical arguments about geometric relationships; and apply appropriate techniques, tools, and formulas to determine measurements.Explore relationships among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. Employ forms of mathematical reasoning and proof appropriate to the solution of the problem at hand, including deductive and inductive reasoning, making and testing conjectures, and using counter examples and indirect proof. Identify, formulate and confirm conjectures. Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. (9th/10th Grade Math)

In  this  lesson  we  learn  about  the  one  of  the  type  of  the quadrilateral....Rhombus. This  lesson  includes  the  discussion  about  the  square, properties  of  square , rhombus  and  properties  of  rhombus - problems  based  on  the  properties  of  rhombus. Objectives :Upon  completion  of  this  lesson, students  will :have  been  introduced  to quadrilaterals - Rhombus  and  Square  and  their  properties.have  learned  the  terminology  used  in  quadrilaterals.understood  the  difference  and  similarities  between  the  properties  of  square  and  rhombus.discover  the  problem  in  given  problem.solves  problems  based  on  the  properties  of  rhombus.                                                        Standard  : 7th std and above Content  Analysis :Fact :  Quadrilaterals  are  the  closed  figures  having  four  sides.Definitions  :(i)  Quadrilaterals  :- A  quadrilateral  is  a  four-sided  figure :  quad  meaning  four  and  lateral   meaning  side. This  lateral  word  from  the  Latin  word  lateris.(ii)  Rhombus         :-  A  quadrilateral  with  all  four  sides  congruent  is  called  a  rhombus.(iii)  Square            :- A  quadrilateral  with  all  congruent  sides  and  each  angle  a  right  angle  is  called  a  square. 

In  this  lesson  we  learn  about  the  one  of  the  type  of  the quadrilateral....Rhombus. This  lesson  includes  the  discussion  about  the  square, properties  of  square , rhombus  and  properties  of  rhombus - problems  based  on  the  properties  of  rhombus. Objectives :Upon  completion  of  this  lesson, students  will :have  been  introduced  to quadrilaterals - Rhombus  and  Square  and  their  properties.have  learned  the  terminology  used  in  quadrilaterals.understood  the  difference  and  similarities  between  the  properties  of  square  and  rhombus.discover  the  problem  in  given  problem.solves  problems  based  on  the  properties  of  rhombus.                                                        Standard  : 7th std and above Content  Analysis :Fact :  Quadrilaterals  are  the  closed  figures  having  four  sides.Definitions  :(i)  Quadrilaterals  :- A  quadrilateral  is  a  four-sided  figure :  quad  meaning  four  and  lateral   meaning  side. This  lateral  word  from  the  Latin  word  lateris.(ii)  Rhombus         :-  A  quadrilateral  with  all  four  sides  congruent  is  called  a  rhombus.(iii)  Square            :- A  quadrilateral  with  all  congruent  sides  and  each  angle  a  right  angle  is  called  a  square.

In this Cyberchase video segment, the CyberSquad learns what happens to the area of a rectangle when the shape enclosed by the perimeter changes.