Essay EDME392 – Junior Secondary Mathematics Education – Mathematics Assignment Help

Assignment Task

Overview
The purpose of this assignment is to demonstrate your ability to connect theory with practice. You will critique and synthesize different elements of a mathematics lesson and explain how they can be brought together in an effective and planned way. For this assignment, you will (1) analyze and critique a lesson connecting theory to practice, (2) produce a single lesson plan, and (3)provide a theoretical explanation/justification of your lesson. You will create a lesson plan using a previous lesson as a starting point. *You will create your own version of this lesson. The video shows a mathematics lesson that was filmed as part of the 1999 TIMSS video project. Its focus was on developing the conditions for congruence of triangles, which is a goal that still exists today in the Australian Curriculum (ACMMG201). You can find this goal in the NSW syllabus at Stage 4 in the Measurement and Geometry content strand

Learnings Outcomes 
communicates and connects mathematical ideas using appropriate terminology, diagrams, and symbols apply appropriate mathematical techniques to solve problems recognizes and explains mathematical relationships using reasoning classifies, describes, and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles.

 
Develop the conditions for congruence of triangles 

• investigate the minimum conditions needed, and establish the four tests, for two triangles to be congruent: 
• if the three sides of a triangle are respectively equal to the three sides of another triangle, then the two triangles are congruent (SSS test) 
• if two sides and the included angle of a triangle are respectively equal to two sides and the included angle of another triangle, then the two triangles are congruent (SAS test) 
• if two angles and one side of a triangle are respectively equal to two angles and the matching side of another triangle, then the two triangles are congruent (AAS test)
• if the hypotenuse and the second side of a big triangle are respectively equal to the hypotenuse and the second side of another right-angled triangle, then the two triangles are congruent (RHS test) use dynamic geometry software and/or geometrical instruments to investigate what information is needed to show that two triangles are congruent (Problem-Solving) explain why the angle in the SAS test must be the included angle (Communicating, Reasoning) demonstrate that three pairs of equal matching angles are not a sufficient condition for triangles to be congruent (Communicating, Reasoning).