MATHS SEA ACTIVITIES CLASS X

Jaspal Kaur Public School Class X (2021-2022) Mathematics S.E.A 1(POLYNOMIALS) AIM : To draw the graph of quadratic polynomials and to find the relation between the type of curve and the co- officient of x2 1) x2-2x-8 2) 3-2x-x2 MATERIAL REQUIRED : Graph paper and stationery PROCEDURE : 1) Let us take the f irst polynomial x2-2x-8 Let y = x2-2x-8 x y Plot the points and join as a free hand curve. Let us take the second polynomial 3-2x-x2 Let y = 3-2x-x2 x y Plot the points and join as a free hand curve. OBSERVATION : 1) The f irst graph is f acing ___________ 2) The second graph is f acing ___________ 3) Value of a in f irst polynomial is _________________ 4) Value of a in second polynomial is _________________ INFERENCE :

























































JASPAL KAUR PUBLIC SCHOOL . CLASS X SEA Pythagoras Theorem Aim: To verify Pythagoras Theorem by cutting & pasting method. Material Required: origami sheets, pencil box, fevistick, scissor etc. Procedure: 1. Cut out a right triangle , with sides 6 cm, 8 cm and 10 cm. Let , , Make 8 replicas of triangle. 2. Cut out 2 squares of side 10 cm. 3. Arrange 4 triangles and one square to form a big square as shown in fig 1 and arrange 4 triangles and one square to form a smaller square as shown in fig 2.

Observation: Conclusion: In a right triangle , the square of hypotenuse is equal to the sum of squares of other two sides.

JKP CLASS SEA ACTIVITY : TRIGONOMETRIC IDE AIM​ : To verify that sin​2ϴ​ ​ + cos​2 ϴ​ ​= 1 MATERIAL REQUIRED​ :​ Three right tr out of coloured paper. PRE REQUISITE KNOWLEDGE​ :​ sin ϴ​ =​ perpendicular cos ϴ​ ​ = base hypotenuse hypoten

PS X ENTITIES 1 riangles of different dimensions cut e nuse

ACTIVITY​: 1) CUT OUT THREE RIGHT ANGLED T DIMENSIONS. 2) Paste them in your practical file, l 3) Using a ruler find out the dimensi 3) Record the observations in the ta TRIANGLE PERPENDICULAR BASE HYPOTE ABC XYZ PQR

TRIANGLES HAVING DIFFERENT labelling them as ABC , XYZ and PQR ions. able. ENUSE Sin cos Sin​2 Cos​2 Sin2​ ​ϴ + Cos2​ ​ϴ ϴϴϴ ϴ

CONCLUSION​ : We observe that in all triang 1. This verifies the identity that S​ in2​ ​ϴ + ​C

gles the value of Sin2​ ​ϴ + ​Cos​2ϴ​ is coming Cos2​ ϴ​ = 1

JASPAL KAUR PUBLIC SCHOOL CLASS X SEA: Basic Proportionality Theorem for a Objective To verify the basic proportionality theorem by using parallel lines b Basic Proportionality Theorem If a line is drawn parallel to one side of a triangle, to intersect the o the same ratio. Prerequisite Knowledge 1. Statement of Basic Proportionality theorem. 2. Drawing a line parallel to a given line which passes th Materials Required White chart paper, coloured papers, geometry box, sketch pens, fe board).

a Triangle board, triangle cut outs. other two sides at distinct points, the other two sides are divided in hrough a given point. evicol, a pair of scissors, ruled paper sheet (or Parallel line

Procedure 1. Cut an acute-angled triangle say ABC from a coloured 2. Paste the ΔABC on ruled sheet such that the base of 3. Mark two points P and Q on AB and AC such that PQ 4. Using a ruler measure the length of AP, PB, AQ and Q 5. Repeat the same for right-angled triangle and obtuse- 6. Now complete the following observation table.

d paper. the triangle coincides with ruled line. Q || BC. QC. -angled triangle.

Observation Result In each set of triangles, we verified that Learning Outcome Students will observe that in all the three triangles the Basic Propo

ortionality theorem is verified.

SEA QUADRATIC QUATIONS AIM: To factorize a quadratic equation through paper cutting- pasting method MATERIAL REQUIRED: Colored sheets, pair of scissors, ruler and adhesive. PROCEDURE: 1. Let us take a quadratic equation, say “������������ + ������������ + ������”. 2. Cut a square card having each side “x unit”, then the area of the square card will be “x2 sq. units.” 3. Cut a rectangular card having sides “1 unit” and “x unit”, then the area of the card will be “x sq. units.” 4. Cut another square card having sides “1 unit”, then the area of the card will be “1 sq. units.” 5. Now consider the expression, “������������ + ������������ + ������”. 6. Arrange these cards in a form of a rectangle. CONCLUSION: A quadratic expression can be factorized using paper cutting-pasting method.