**TS SSC Mathematics Answer Sheet Evaluation Principles & Indicators**

**I. Problem solving Types of problems :**

(a) Verbal problems

(b) Pictorial problems

(c) Data handling problems /graph

**Indicators**

(a) Verbal problems

(i) Identifying data (1Mark)

1. Identifying the data in the given problem by reading comprehensively.

2. Drawing figure wherever of it is needed.

**(ii) Selecting the procedure (1Mark)**

1. Selection of formula

2. If there is no formula selecting process

**(iii) Substituting the values (1Mark)**

1. Substituting appropriate values at appropriate places with appropriate signs.

**(iv) Computations and arriving solutions**

1. Doing with right computations

2. Solution

**(b) Pictorial problems**

(i) Identifying data (1Mark)

1. Observing the picture and sentences/statements in the problem

2. Electing data

**(ii) Selecting procedure (1Mark)**

1. Selecting appropriate procedure.

2. Making constructions in the picture wherever it is needed.

**(iii) Giving Reasons (1Mark)**

1. Giving Reasons with appropriate rules theorems, formulas etc.

**(iv) Making Calculations arriving solution (1Mark)**

1. Doing right calculations

2. Solutions

**(c) Data handling**

1. Graph problems

(i) Electing the required data from ungrouped data, table or graph (1 Mark)

(ii) Selecting procedure / formula (1 Mark)

(iii) Substitution values appropriately(1 Mark)

(iv) Computation and arriving solution (1Mark)

**II. Reasoning**

– Proof Types of Questions :

(a) Direct proof

(b) Indirect proof

(c) Counter example

(d) Giving examples to support arguments

**(a) Direct proof**

(i) Identifying data from statement (1Mark)

1. Writing data

2. Drawing pictures if needed.

3. Making constructions in the diagram.

(ii) Beginning the proof by appropriate procedure (1Mark)

(iii) Extending the procedure by appropriate reasons (1Mark)

(iv) Giving conclusions (1Mark)

**(b) Indirect proof**

(i) Define contradictory statements to the given statement and supposing accordingly (1Mark)

(ii) Selecting procedure to prove and extending (1Mark)

(iii) Making logical arguments to disprove that supposition (1Mark)

(iv) Giving conclusion (1Mark)

**(c) Counter example**

(i) Giving appropriate example (1Mark)

(ii) Giving logical conclusion (1Mark)

**III. Communication Types of questions and giving marks**

(a) Making mathematical statements by using mathematical symbols or signs or terms. With appropriate logic with right syntax for given information. for all (Indicator: If it is in right ways and giving full information only 1 mark will be given, otherwise 0 mark)

(b) Expressing the mathematical sentences / statements in own words.

(c) Explaining each term or variable in a formula or expressing them with appropriate units.

(d) Explaining the information given in the form of a picture or table.

(e) Creating new problems (these problems may be come in 2 marks section)

1. Taking data for suitable variables (1 Mark)

2. Expressing in right form of statements (1 Mark)

**IV. Connections **

(l Problems with more mathematical concepts or involving multiple subjects or multiple contexts in daily life)

(i) Identifying data (1Mark)

1. Identifying the concepts involved in the problem.

2. Writing the data of all concepts wherever it is required.

3. Electing indirect data if it is needed.

4. Making Connections (2 Marks)

4. Handling all the connections in the problem solving.

**(iii) Computation and arriving solution (1 Mark)**

1. Substituting appropriate values at appropriate places with appropriate signs.

**V. Representation- Visualisation Types of questions**

(a) Constructions

(b) Graph

(c) Tabling the unorganised data

(d) Drawing pictures for the given information

(e) Drawing Venn diagrams

(f) Showing a number on number line.

**(a) Constructions**

1. Drawing rough diagram proportionately (1Mark)

2. Making constructions in the right way (2 Marks)

3. Steps for constructions (1Mark)

**(b) Graphs**

1.Calculations for identifying points (2 Marks)

2. Plotting the points and preparing required graph with appropriate scale (2 Marks)

Note : These indications have been given for 4 marks questions (except communication) only. Please consider appropriate proportion of marks to award for 2 marks question answers. FAQ’S – MARKS

1. How to award marks when a value in the given data is mistaken and the whole procedure is right ?

Ans: If it happens by mistake the marks can be awarded if and only if the value is not taken from text book. According to valuation indicators 1 mark will not be award for the first step i.e. identifying the data.

2. In the process of solving problem, if any step is miscalculated and wrong answer is arrived, how the marks should be awarded ? (mathematical opprational errors)

Ans: According to valuation indicators the marks should be awarded i.e. the marks should not be awarded fro computation / calculation and remaining should be awarded.

3. Is of necessary to draw the figure or diagram for the problems with pictures / diagrams.

Ans. Yes. Diagrams must be a draw.

4. How the makrs should be awarded for the questions of disproving by counter example?

Ans. The whole marks should be awarded if an only if the logical argument is given with counter example. Otherwise ‘0’ marks should be awarded.

5. In case a student writes the objective type questions/ short answer questions / Essay answer questions in more than one place which answer should the examiner considered?

Ans. The first written answer only to be considered and ignore the other answers by writing repeated answer. The teacher should inform the children it they want to write the answer in second time with more appropriate, then they have strikeout the first answer.

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