a twenty hour module on maths for first year students at liceo scientifico

�SARDEGNA SPEAKS ENGLISH

LINEA DI INTERVENTO 1 realizzaziOnE�DI�Progetti�per�l’apprendimento�dell’inglese�

ATTRAVERSO�LA�METODOLOGIA�CLIL�

Liceo Scientifico “Europa Unita” – Porto Torres

�

A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010 �

CLIL Maths Module 1 TEST

Cloze

Fill the blanks inserting ONE correct word:

Binomial squared

The square of a binomial is a ____________ in which there are no

____________ terms. It is composed of the ____________ of the first

monomial plus the ____________ product of the ____________ monomial

and the second one ____________ the second monomial raised to the

____________ power. Therefore the ____________ of how to square a

____________ is the following: “ (a + b)2 = a2 + 2ab + b2 “ , in other words

the result of a ____________ binomial is a trinomial. ��





�


��CLIL Maths Module 1 TEST

Multiple choice

Choose the correct answer to the following questions : �What does this expression represent (a+b) (a-b)?�� Product of sum and difference of two terms�� The sum of two monomials�� A squared binomial �� A trinomial��Which of the four is the formula of a squared binomial?�� (a+b2)2�� a2 - 2ab + b2�� a2 - b2�� a2 + b2��Which of the four is the solution to (a+b) (a-b)?�� a2 - 2ab + b2�� a2 - b2�� a2 + b2�� a2 + b2+ab �Which of these is the area of a square?�� (a+b)2�� a+ b2�� ab�� a2 + b2��Which of these is the area of a rectangle?�� a2 + 2ab + b2�� (a+2b)2�� a2 - b2�� a(a+3)��





�



�Matching exercize

Match the words in the left column to their correct definition:

(put the corresponding letter in the right column next to the definition)

A.� Binomial The value of a surface� �B.� Algebra The set of points of a plane within a

closed line �

C.� Power A measure or number repeated twice� �

D.� Area Algebraic sum of two monomials �E.� Trinomial Geometrical figure whose 4 sides

have got the same length� �F.� Rectangle Algebraic expression in which there

are no additions or subtractions �G.� Square Algebraic sum of three monomials �H.� Double You can raise a number to it �I.� Monomial Geometrical figure whose area is

“ab”� �J.� Closed Surface An area of Maths where numbers

are represented by letters� ��





�


CLIL Maths Module 1 TEST - Solution

Cloze


Binomial squared

The square of a binomial is a polynomial in which there are no like terms. It

is composed of the square of the first monomial plus the double product of

the first monomial and the second one plus the second monomial raised to

the second power. Therefore the formula of how to square a binomial is the

following: “ (a + b)2 = a2 + 2ab + b2 “ , in other words the result of a

squared binomial is a trinomial. ��





�



Multiple choice Choose the correct answer to the following questions : �What does this expression represent (a+b) (a-b)?�� Product of sum and difference of two terms�� The sum of two monomials�� A squared binomial �� A trinomial��Which of the four is the formula of a squared binomial?�� (a+b2)2�� a2 - 2ab + b2�� a2 - b2�� a2 + b2��Which of the four is the solution to (a+b) (a-b)?�� a2 - 2ab + b2�� a2 - b2�� a2 + b2�� a2 + b2+ab �Which of these is the area of a square?�� (a+b)2�� a+ b2�� ab�� a2 + b2��Which of these is the area of a rectangle?�� a2 + 2ab + b2�� (a+2b)2�� a2 - b2�� a(a+3)��





�



� Matching exercize Match the words in the left column to their correct definition (put the corresponding letter in the right column next to the definition)

A.� Binomial Algebraic sum of two monomials �B.� Algebra An area of Maths where numbers are

represented by letters �

C.� Power You can raise a number to it �D.� Area The value of a surface �E.� Trinomial Algebraic sum of three monomials �F.� Rectangle Geometrical figure whose area is “ab” �G.� Square Geometrical figure whose 4 sides

have got the same length �

H.� Double A measure or number repeated twice �I.� Monomial Algebraic expression in which there

are no additions or subtractions �

J.� Closed Surface The set of points of a plane within a closed line ��

��

�

SARDEGNA SPEAKS ENGLISH LINEA DI INTERVENTO 1

REALIZZAZIONE�DI�PROGETTI�PER�L’APPRENDIMENTO�DELL’INGLESE�



�

�

Cognome:……………………………��Nome:………………………��data:……………………��classe:…..…..�


TEST (Module 1)

Fill the blanks �

Complete the following Special Products:

1) x2 −b

⋅ x2 +b

= ..................−b2

2)

23

+54xy2

⋅ −2

3+5

4xy2

=2516

....................

49

3)

76

a3+8......

⋅ ......b2-7

6a3

=−

36................64b4

4) 1-9......

⋅ ......a5+1

=1−81a10

5)

−23

+54xy2

2=2516

x2y4..........................

49

6) 4x3 -1

6y2

2= ....................−

43

x3y2...................

7) .........+.........( )

2=25a2

..........................+4b2

8) ........-a4b3

2

=100−.........................a8b6

��

�





�

�



Multiple choice �

1)�Which of the following is the result of 3− x( )⋅ x + 3( )?

� x2 −9 � x2 + 9 � x2 + x + 9 � 9− x2 2)�Which of the following produces as a result 36a2 −1?

� 6a−1( )

2 � 1-6a( )⋅ 6a+1( ) � 1+6a( )⋅ 6a-1( ) � 2a+1( )⋅ 3a-1( )

3)�Which of the following is the result of

32

x2y +45

⋅

32

x2y −45

?

� -1625

+94

x4y2

� 1625

−94

x4y2

� 94

x4y2 +1625

� 94

x4y2 - 65

x2y+1625

4)�Which of the following produces as a result b6 −

4964

a4 ?

�

87

a2 + b3

⋅ b3 −

78

a2

�

78

a2 −b3

⋅ b3 +

78

a2

�

b3 −

78

a

2

�

78

a2 + b3

⋅ b3 −

78

a2


12

x +2y

2

?

� 4y2 +

14

x2

� 14

x2 +2xy+4y2

� 14

x2 +xy+4y2

� 14

x2 +2x2y2 +4y2

6)�Which of the following produces as a result 19

x4y2 +9

25y2 −

25

x2y2?

�

13

x2y +35

y

⋅

13

x2y −35

y

�

−13

x2y −35

y

2

�

13

x2y −35

y

2

�

19

x2y −95

y2

2


45

a3 −56

b5

2

?

� 1625

a6 −43

a3b5 +2536

b10

� 1625

a9 −43

a3b5 +2536

b25

� 1625

a6 +2536

a10

� 1625

a9 +2536

b25

8)�Which of the following produces as a result b2 + 8ab +16a2?

� 8a+ b( )2 � -4a−b( )

2 � 4a−b( )

2 � 8a+ b( )⋅ 2a+ b( )

��

�





�

�



Solve and Draw Solve the following exercises:

1) −3x+5y( )⋅ −3x−5y( )=_______________________________________________

2)

65a3b4 −1,3

⋅ 1,3+

65a3b4

=__________________________________________

3)

34

x+29y

2

=______________________________________________________

4) −2,5a3+

27b2

2

=____________________________________________________

Draw the figure corresponding to the following formulas:

1 a2 - b2

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

2 a2 + b2

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

3 a2 + ab + b2

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

4 a2 + 2ab + b2

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � �





�



Cloze


Binomial cube

A binomial ______________ to the third power can be

represented by a ______________ composed of eight

______________ which fit together in a binomial pattern,

representing the cube of two ______________, (a + b).

Each side of the cube has the same dimensions and pattern, and

represents the ______________ of (a + b). The

______________ of a binomial cube is the ______________

term raised to the third power, plus the ______________ product

of the first term ______________ and the second term, plus the

triple product of the ______________ term squared and the first

term, plus the second term raised to the third power. ��





�


��CLIL Maths Module 2 TEST

Multiple choice Choose the correct answer to the following questions : �How many monomials is the formula of the binomial cube composed of?�� 3�� 4�� 6 �� 8��How many blocks is the cube expressed by a binomial cube formula composed of?�� 4�� 6�� 8�� 10��How many of the blocks in a binomial cube are cubes?�� 2�� 3�� 4�� 6 �Which of these expressions is the formula of a binomial cube?�� a3+b3 � � a3+a2b+ab2+ b3 � � a3+3a2b+3ab2+ b3 � � a3-b3 �Which of these is the area of one side of a cube?�� 3a2b�� 3ab�� b3�� (a+b)2 ��





�




A.� Cube Its formula is composed of four terms �B.� Sides The product of length, width and height �C.� Block Repeated three times �D.� Volume Its formula is composed of six terms �E.� Triple Repeated model or structure �F.� Pattern Monomials with the same literal part �G.� The square of a

trinomial A cube has got six� �H.� Binomial cube Squares in a trinomial to the second

power �I.� Three Its volume is a3� �J.� Like terms Every piece composing a binomial cube ��





�



Cloze


Binomial cube

A binomial raised to the third power can be represented by a cube

composed of eight blocks which fit together in a binomial pattern,

representing the cube of two numbers, (a + b).

Each side of the cube has the same dimensions and pattern, and

represents the square of (a + b). The formula of a binomial cube is

the first term raised to the third power, plus the triple product of

the first term squared and the second term, plus the triple product

of the second term squared and the first term, plus the second term

raised to the third power. ��





�


��CLIL Maths Module 2 TEST - Solution

Multiple choice Choose the correct answer to the following questions : �How many monomials is the formula of the binomial cube composed of?�� 3�� 4�� 6 �� 8��How many blocks is the cube expressed by a binomial cube formula composed of?�� 4�� 6�� 8�� 10��How many of these pieces are cubes?�� 2�� 3�� 4�� 6 �Which of these expressions is the formula of a binomial cube?�� a3+b3 � � a3+a2b+ab2+ b3 � � a3+3a2b+3ab2+ b3 � � a3-b3 �Which of these is the area of one side of a cube?�� 3a2b�� 3ab�� b3�� (a+b)2 ��





�




A.� Cube Its volume is a3 �B.� Sides A cube has got six �C.� Block Every piece composing a binomial cube �D.� Volume The product of length, width and height �E.� Triple Repeated three times �F.� Pattern Repeated model or structure �G.� The square of a

trinomial Its formula is composed of six terms �H.� Binomial cube Its formula is composed of four terms �I.� Three Squares in a trinomial to the second

power �J.� Like terms Monomials with the same literal part ��

��

�





�

�



TEST (Module 2)

Fill the blanks �


1) x-2y-1

2

=x2+4y2...................................+4y

2)

-34

xy2+23

x2y+4y

2

= .............49

x4y2+16y2................................

3) 0.6a3-1.6b2+0.16

2

= .................................-2a3b2+15

a3-59

b2

4) a-2

3

=a3...........+12a............

5)

0.6a2b-32

ab

3

= .............-2a5b3..................-278

a3b3

6) -0.5x-0.25y

3

=-18

x3.......................................- 164

y3

��

�





�

�



Multiple choice �

1)�Which of the following is the result of a−2b + 3( )2?

� a2 − 4b2 + 9− 4ab + 3a−6b � a2 + 4b2 + 9− 4ab + 6a−12b

� a2 + 4b2 + 9−2ab + 3a−6b � a2 + 4b2 + 9

2)�Which of the following produces as a result a9 − a6b2 +

13

a3b4 −127

b6?

� a2 −

1

3b

3

3

� −a3 −

1

3b

2

3

� a2 −

1

3b

3

2

� a3 −

1

3b

2

3

3)�Which of the following is the result of 2a+

12

b

3

?

� a2 − ab +

14

b2 � 8a3 +

18

b3

� 8a3 + 6a2b +

32

ab2 +18

b3 � 8a3 −

32

a2b + 6ab2 −18

b3

4)�Which of the following produces as a result

25x4 +

9100

y6 +259

z2 −3x2y3 −503

x2z + y3z?

� 5x2 −

310

y3 −53

z

2

� 5x2 −

310

y3 +53

z

2

� -5x2 −

310

y3 +53

z

2

� 5x2 +

310

y3 +53

z

2

5)�Which of the following is the result of 2x2 −

12

x −1

2

?

� 4x4 +

14

x2 +1− x3 −2x2 +12

x � 4x4 +

14

x2 +1

� 4x4 +

14

x2 +1− x3 − 4x2 +12

x � 4x4 −2x3 −

154

x2 + x +1

6)�Which of the following produces as a result 27x3 − 9x2y2 + xy4 −

127

y6?

� 3x −

13

y2

3

� 3x +

13

y2

3

� 3x −

13

y2

2

� 9x −

19

y2

3

��

�





�

�



�

Solve Solve the following exercises:

1) 2a−b+3c( )

2=____________________________________________________

2)

32a+

23a2b−

12ab

2

=_____________________________________________

3) 0.5x2 +0.3y3 −6( )

2=______________________________________

4)

52x2−4x−

85

2

=__________________________________________________

5)

14x3−

23y2

3

=____________________________________________________

6) 0.75a+0.6b

3

=___________________________________________

7) 1.25x2y−0.4xy2( )

3=____________________________________

8) −a3−b2( )

3=_______________________________________________________

��

�





�

�A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010

�

FINAL TEST Fill the blanks �


1)

23

+54xy2

⋅ −2

3+5

4xy2

=16

....................4

2) 1-8......

⋅ ......b5+1

=1−64b10

3) −0.6+1.25xy2

2

=2516

x2y4..........................49

4) 4x3 -0.16y2

2

= ....................−43

x3y2...................

5)

-34

xy2+23

x2y+4y

2

= .............49

x4y2+16y2................................

6) -0.5x-0.25y

3

=-18

x3.......................................- 164

y3

7)

23

a2b-1.5ab

3

= .............-2a5b3..................-278

a3b3


��

�





�


�

Multiple choice �

Choose the correct answer to the following questions :


32

x2y +45

⋅

32

x2y −45

?

� -1625

+94

x4y2

� 1625

−94

x4y2

� 94

x4y2 +1625

� 94

x4y2 - 65

x2y+1625

2)�Which of the following produces as a result b6 −

4964

a4 ?

�

87

a2 + b3

⋅ b3 −

78

a2

�

78

a2 −b3

⋅ b3 +

78

a2

�

b3 −

78

a

2

�

78

a2 + b3

⋅ b3 −

78

a2


45

a3 −56

b5

2

?

� 1625

a6 −43

a3b5 +2536

b10

� 1625

a9 −43

a3b5 +2536

b25

� 1625

a6 +2536

a10

� 1625

a9 +2536

b25

4)�Which of the following produces as a result b2 + 8ab +16a2?

� 8a+ b( )2 � -4a−b( )

2 � 4a−b( )

2 � 8a+ b( )⋅ 2a+ b( )

�

5)�Which of the following is the result of 2x2 −

12

x −1

2

?

� 4x4 +

14

x2 +1− x3 −2x2 +12

x � 4x4 +

14

x2 +1

� 4x4 +

14

x2 +1− x3 − 4x2 +12

x � 4x4 −2x3 −

154

x2 + x +1

6)�Which of the following is the result of a−2b + 3( )2?

� a2 − 4b2 + 9− 4ab + 3a−6b � a2 + 4b2 + 9− 4ab + 6a−12b

� a2 + 4b2 + 9−2ab + 3a−6b � a2 + 4b2 + 9 �

�

�


��

�





�


�

�

7)�Which of the following produces as a result

25x4 +

9100

y6 +259

z2 −3x2y3 −503

x2z + y3z?

� 5x2 −

310

y3 −53

z

2

� 5x2 −

310

y3 +53

z

2

� -5x2 −

310

y3 +53

z

2

� 5x2 +

310

y3 +53

z

2

�

8)�Which of the following is the result of 3a−

13

b

3

?

� 9a2 − ab +

19

b2 � 27a3 +

127

b3

� 27a3 + 9a2b − ab2 +

127

b3 � 27a3 −9a2b + ab2 −

127

b3

9)�Which of the following is the result of 2a+

12

b

3

?

� a2 − ab +

14

b2 � 8a3 +

18

b3

� 8a3 +6a2b +

32

ab2 +18

b3 � 8a3 −

32

a2b + 6ab2 −18

b3

10)� Which of the following produces as a result a9 − a6b2 +

13

a3b4 −127

b6?

� a2 −

1

3b

3

3

� −a3 −

1

3b

2

3

� a2 −

1

3b

3

2

� a3 −

1

3b

2

3

�

�

11) What does this expression represent (a+b) (a-b)?��

�

� � The sum of two monomials�

� � A squared binomial �� Product of sum and difference of two terms�

� � A trinomial��

12) Which of the four is the solution to (a+b) (a-b)?��

�

� � a2 - b2�

� � a2 + b2�

� � a2 - 2ab + b2�

� � a2 + b2+ab


��

�





�


�

�

13) Which of these is the area of a square?�

�

� � (x+y)2�

� � x+ y2�

� � xy�

� � x2 + y2�

��

14) How many monomials is the formula of the binomial cube composed of?�

�

� � 3�

� � 4�

� � 6 �� 8�

��

15) Which of these is the area of one side of a cube?��

�

� � 3a2b�

� (a+b)2

� � 3ab�

� � b3�

Cloze

Complete the following passages inserting ONE correct word:

(a+b)2

The square of a _________________ is composed of the square of the first

monomial plus the _________________ product of the first monomial and the second

one plus the _________________ monomial raised to the second power. In other

words the result of a _________________ binomial is a _________________.

��Cognome:……………………………��Nome:………………………��data:……………………��classe:…..…..�

��

�





�


�

(a+b)3

The _________________ of a binomial cube is the _________________ term

raised to the _________________ power, plus the triple product of the first term

squared and the second term plus the _________________ product of the second

term squared and the first _________________, plus the second term raised to the

third power.

Solve and Draw

Solve the following exercises:

1)

65a3b4−1,3

⋅ 1,3+

65a3b4

=_________________________________________

2)

76a3+8b2

⋅ 8b2 -7

6a3

=__________________________

3) −2,5a3+

27b2

2

=___________________________________________________

4)

32a+

23a2b−

12ab

2

=_______________________________________________

5)

14

x3−23y2

3

=_____________________________________________________

6) −2a3−3b2( )

3=_____________________________________________________


��

�





�


�


1 a2 - b2

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

2 b2 + a2 + 2ab

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � �

� � � � � � � � � � � � � � � � � � � � � � � � ��Matching

Match the words in the left column to their correct definition: (put the corresponding letter in the right column next to the definition)

A.� Binomial A measure or number repeated twice �

B.� Binomial cube Algebraic sum of three monomials �

C.� Power Monomials with the same literal part �

D.� Volume Algebraic expression in which there are no additions or subtractions

�

E.� Trinomial Geometrical figure whose 4 sides have got the same length

�

F.� The square of a trinomial Its formula is composed of six terms �

G.� Square Algebraic sum of two monomials� �

H.� Double The product of length, width and height

�

I.� Monomial You can raise a number to it �

J.� Like terms Its formula is composed of four terms ��Cognome:……………………………��Nome:………………………��data:……………………��classe:…..…..�


REALIZZAZIONE DI PROGETTI PER L’APPRENDIMENTO DELL’INGLESE ATTRAVERSO LA METODOLOGIA CLIL


A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010

FINAL TEST SOLUTION Fill the blanks


1)

23

+54

xy2

⋅ −2

3+5

4xy2

=2516

x2y4 −49

2) 1-8b5

⋅ 8b5+1

=1−64b10

3) −0.6+1.25xy2

2

=2516

x2y4 −53

xy2+49

4)

4x3 -0.16y2

2

=16x6 −43

x3y2 + 136

y4

5)

-3

4xy2 +

2

3x2y+4y

2

=9

16x2y4 +

4

9x4y2 +16y2 -x3y3 -6xy3+

16

3x2y2

6)

-0.5x-0.25y

3 =-1

8x3- 3

16x2y- 3

32xy2- 1

64y3

7)

23

a2b-1.5ab

3

= 89

a6b3-2a5b3+92

a4b3-278

a3b3

Cognome:…………………………… Nome:……………………… data:…………………… classe:…..…..





Multiple choice

Choose the correct answer to the following questions :

1) Which of the following is the result of

32

x2y +45

⋅

32

x2y −45

?

� -1625

+94

x4y2

�

1625

−94

x4y2

�

94

x4y2 +1625

�

94

x4y2 -65

x2y+1625

2) Which of the following produces as a result b6 −

4964

a4 ?

�

87

a2 + b3

⋅ b3 −

78

a2

�

78

a2 −b3

⋅ b3 +

78

a2

�

b3 −

78

a

2

�

78

a2 + b3

⋅ b3 −

78

a2

3) Which of the following is the result of

45

a3 −56

b5

2

?

�

1625

a6 −43

a3b5 +2536

b10 �

1625

a9 −43

a3b5 +2536

b25 �

1625

a6 +2536

a10 �

1625

a9 +2536

b25

4) Which of the following produces as a result b2 + 8ab +16a2?

� 8a+ b( )2 � -4a−b( )2 � 4a−b( )2 � 8a+ b( )⋅ 2a+ b( )

5) Which of the following is the result of 2x2 −

12

x −1

2

?

� 4x4 +

14

x2 +1− x3 −2x2 +12

x � 4x4 +

14

x2 +1

� 4x4 +

14

x2 +1− x3 − 4x2 +12

x � 4x4 −2x3 −

154

x2 + x +1

6) Which of the following is the result of a−2b + 3( )2?

� a2 − 4b2 + 9− 4ab + 3a−6b � a2 + 4b2 + 9− 4ab + 6a−12b

� a2 + 4b2 + 9−2ab + 3a−6b � a2 + 4b2 + 9






7) Which of the following produces as a result

25x4 +

9100

y6 +259

z2 −3x2y3 −503

x2z + y3z?

� 5x2 −

310

y3 −53

z

2

� 5x2 −

310

y3 +53

z

2

� -5x2 −

310

y3 +53

z

2

� 5x2 +

310

y3 +53

z

2

8) Which of the following is the result of 3a−

13

b

3

?

� 9a2 − ab +

19

b2 � 27a3 +

127

b3

� 27a3 + 9a2b − ab2 +

127

b3 � 27a3 −9a2b + ab2 −

127

b3

9) Which of the following is the result of 2a+

12

b

3

?

� a2 − ab +

14

b2 � 8a3 +

18

b3

� 8a3 + 6a2b +

32

ab2 +18

b3 � 8a3 −

32

a2b + 6ab2 −18

b3

10) Which of the following produces as a result a9 − a6b2 +

13

a3b4 −127

b6?

� a2 −13b3

3

� −a3 −13b2

3

� a2 −13b3

2

� a3 −13b2

3

11) What does this expression represent (a+b) (a-b)?

� The sum of two monomials � A squared binomial � Product of sum and difference of two terms � A trinomial

12) Which of the four is the solution to (a+b) (a-b)?

� a2 - b2 � a2 + b2 � a2 - 2ab + b2 � a2 + b2+ab






13) Which of these is the area of a square?

� (x+y)2 � x+ y2 � xy � x2 + y2

14) How many monomials is the formula of the binomial cube composed of?

� 3 � 4 � 6 � 8

15) Which of these is the area of one side of a cube?

� 3a2b � (a+b)2

� 3ab � b3

Cloze

Complete the following passages inserting ONE correct word:

(a+b)2

The square of a binomial is composed of the square of the first monomial plus

the double product of the first monomial and the second one plus the second

monomial raised to the second power. In other words the result of a squared

binomial is a trinomial.






(a+b)3

The formula of a binomial cube is the first term raised to the third power, plus

the triple product of the first term squared and the second term plus the triple product

of the second term squared and the first term, plus the second term raised to the third

power.

Solve and Draw

Solve the following exercises:

1)

65

a3b4 −1,3

⋅ 1,3+6

5a3b4

=

3625

a6b8 −169

2)

76

a3+8b2

⋅ 8b2 -7

6a3

=64b4 - 49

36a6

3) −2,5a3+2

7b2

2

=254

a6−107

a3b2+ 449

b4

4)

32a+2

3a2b−1

2ab

2

=94a2+4

9a4b2+1

4a2b2+2a3b−3

2a2b−2

3a3b2

5)

14

x3−23y2

3

= 164

x9−18

x6y2+13x3y4− 8

27y6

6) −2a3 −3b2( )3 =−8a9 −36a6b2 −54a3b4 −27b6







1 a2 - b2

2 b2 + a2 + 2ab

Matching

Match the words in the left column to their correct definition: (put the corresponding letter in the right column next to the definition)

A. Binomial A measure or number repeated twice H

B. Binomial cube Algebraic sum of three monomials E

C. Power Monomials with the same literal part J

D. Volume Algebraic expression in which there are no additions or subtractions

I

E. Trinomial Geometrical figure whose 4 sides have got the same length

G

F. The square of a trinomial Its formula is composed of six terms F

G. Square Algebraic sum of two monomials A

H. Double The product of length, width and height

D

I. Monomial You can raise a number to it C

J. Like terms Its formula is composed of four terms B


a twenty hour module on maths for first year students at liceo scientifico

Documents

ab b2 a2 b2 a2 b2which

b2 ab a2 b2which

2b2 a2 b2 aa

b22 a2

squared binomial

area of maths

square algebraic sum

clil maths module