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Develop a diagnostic assessment instrument for a sample unit (provided). The purpose of the instrument is to determine students’ prior knowledge and misconceptions at the start of the unit. Develop an implementation guide for colleagues to ensure consistency and reliable evidence of learning.

 Guide For Implementation SNO Topic Subtopic Instruction for implementation Resources TRIGONOMETRY Prerequisites                subtopic Topic: Number and algebra sub: Introduce Real numbers, direct proportion · simple relationship between graphs and equations in form of oral questions · Illlustrate on the board, fortify with a short video on the subtopics and load it with activities · Do practicals on identifying direct proportion in real life contexts · Take them through use of calculatorr Sub 2: Patterns and algebra · Introduce the index laws to variables · Discuss and demonstrate the distributive law in algebraic expression · Let them do short quiz on the subtopics so far covered · Sub3: Linear and nonlinear relations · Introduce the cartesian plane · Plotting points on the cartesian plane · Finding distances between two points on the cartesian plane by graphing softwares · Sketching linear graphs using two cordinates · Solve linear equations · Graph simple nonlinear equations · Solve simple nonlinear equations Topic2: Geometry sub1 · Develop geometric reasoning by demonstration using handmade models · Explore enlargement transfomation · Introduce the concept of similarity by beginning from the known · Discuss the condition for similarity · Discuss ratio and scale factors in similar figures · At this point show them a video on geometric reasoning sub 2: Pythagoras and trigonometry · Investigate pythagoras theorem by giving them a background information · Discuss how the theorem is used to find the sides of a right angled triangle · Stress that the longest side is the hypotenuse · Give them real life applications of the theorem · If okay with the subtopic, introduce trigonometry · Provide the meaning of trigonometry · Discuss the three basic trigonometric ratios, that is Sine, Cosine and Tangent · Relate trigonometry with pythagoras and show them how angles and sides of a right angled triangle relate · Stress on the constancy of the sine, cosine and tangent · Discuss how to solve problems using ratio and scale factors in similar figures · Apply trigonometry to solve right-angled triangle problems · Issue quiz after a subtopic is finished with, cats after a topic is done with  and final test after completion of lesson 1 and 2 · Group activities are to be aligned with the activities in the video presentation 1 Trigonometry 1 Measurement and geometry 1 and 2-r 2 3 4 Trigonometry 2 5 6 7
 Diagnostic Instrument Evidence of Level classification Subtopics Below average student Average student Above  average     student · Shows rough idea about tangent ratios · Can identify mistakes in his/her work and provide correct alternatives · Can draw diagram showing information · Calculates each distances but doesnot find distances between two parts · Can find angle of inclination but cannot further in answwering related questions · Records angle of elevation and depression, own and diistances as measured · Unable to show calculations involving ratios or scale factors in similar figures · Can plot points and join them to form a line · Possesses a bit of mathematical reasoning · Understands algebraic expressions by identification but cannot work simple algebraic probems · Unable to use calculator in determining the trigonometric ratios · Is able to apply pythagoras theorem in finding distances in right angled triangle but is unabe to use same in real life situation · Can identify similar triangles but does not understand how to find angles given distances · The principle of constancy in the ratios is lacking in their comprehension · Doesnot understand the connection between trigonometry and algebra · Unable to sketch linear graphs · Shows average idea about tangent ratios but still unable to appreciate the differenece with Sine ratio · Can identify mistakes in his/her work and provide correct alternatives succintly · Can draw simple diagram showing information · Calculates each distances and finds distances between two points for simple problems · Can find angle of inclination and further answwering some related questions · Records angle of elevation and depression, own and distances as measured · Averagely shows calculations involving ratios or scale factors in similar figures · Can plot points and join them to form a line · Possesses average mathematical reasoning · Averagely understands algebraic expressions by identification and can work on both simple and complex algebraic problems · able to use calculator in determining the trigonometric ratios but finds problem with the settings · Is able to apply pythagoras theorem in finding distances in right angled triangle and is able to use same in real life situation for simple problems · Can identify similar triangles but still unable to understand how to find angles given distances · The principle of constancy in the ratios is averagely demonstrated in their work · Slightly understands the connection between trigonometry and algebra · Able to sketch simple linear graphs but still with challenges in interpretion · Shows great idea about tangent ratios · Can identify mistakes in his/her work and provide correct alternatives · Can draw diagram showing information · Calculates each distances and finds distances between two points · Can find angle of inclination and further answwering related questions · Records angle of elevation and depression, own and distances as measured · Greatly shows calculations involving ratios or scale factors in similar figures · Can plot points and join them to form a line · Possesses great mathematical reasoning with clear and logical steps exhibited · Greatly understands algebraic expressions by identification and can work on both simple and complex algebraic probems · able to use calculator in determining the trigonometric ratios · Is able to apply pythagoras theorem in finding distances in right angled triangle and is able to use same in real life situation · Can identify similar triangles and understands how to find angles given distances · The principle of constancy in the ratios is demonstrated in their work · Understands the connection between trigonometry and algebra · Able to sketch linear graphs and interpret them
 Student Level classification Strategies outline (Evidence classification ) Below average Cannot recognize sides and angles in a right angledtriangle Doesnot  recognize that hypotenuse is the longest side Shows a rough idea Average Above average must: competently capture the four essential skills in mathematics: Understanding, Fluency, Problem-solving and reasoning Under undestanding: Sufficiently comprehended the relationship between graphs and equations Algebraic expressions by simplying both complex and simple expressions Trigonometric ratios for right angled triangles In Fluency: Familiar with all calculations and the graphs including cartesian plane In problem solving : Must be able to excellently model practical scenarios Applying the laws and theorems appropriately Reasoning: Logically and clearly by showing all steps in arriving at  the answer Clearly sketching graphs Developed mind to underscore real word problems and challenges Lesson 3: Trigonomery 2 Lesson 3: Trigonomery 2
 GENERAL COMMUNICATION In all the works done, check for the common                  challenges and  misconception
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250 words