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
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.
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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 - b 2 a2 + b 2 Which of the four is the solution to (a+b) (a-b)? a2 - 2ab + b2 a2 - b 2 a2 + b 2 a2 + b2+ab Which of these is the area of a square? (a+b)2 a+ b2 ab a2 + b 2 Which of these is the area of a rectangle? a2 + 2ab + b2 (a+2b)2 a2 - b 2 a(a+3)
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 1 TEST
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
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 1 TEST - Solution Cloze
Fill the blanks inserting ONE correct word: 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 squared binomial is a trinomial.
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
a
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
CLIL Maths Module 1 TEST - Solution 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 - b 2 a2 + b 2 Which of the four is the solution to (a+b) (a-b)? a2 - 2ab + b2 a2 - b 2 a2 + b 2 a2 + b2+ab Which of these is the area of a square? (a+b)2 a+ b2 ab a2 + b 2 Which of these is the area of a rectangle? a2 + 2ab + b2 (a+2b)2 a2 - b 2 a(a+3)
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 1 TEST
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
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
TEST (Module 1) Fill the blanks Complete the following Special Products:
1) x2 −b ⋅ x2 +b =..................−b2 2) 2+ 5 xy2 ⋅ −2+ 5 xy2 = 25....................4 9 3 4 3 4 16
7 7 3 2 3 3) a +8...... ⋅ ......b - a = − ................64b4 6 6 36
4) 1-9...... ⋅ ......a5 +1 =1−81a10 2
2 5 2 5) − + xy = 25 x2y4..........................4 3 4 16 9
2 4 1 2 6) 4x y = ....................− x3y2................... 6 3
3-
7) (.........+.........)2 =25a2..........................+4b2 2
8) ........-a4b3 =100− .........................a8b6
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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 ? 2
(6a −1)
(1-6a) ⋅ (6a+1)
(1+6a) ⋅ (6a-1)
(2a+1) ⋅ (3a-1)
3 2
4 3 5 2
4 5
3) Which of the following is the result of x2y + ⋅ x2y − ? -
16 9 4 2 + x y 25 4
16 9 4 2 − x y 25 4
9 4 2 16 x y + 4 25
9 4 2 6 2 16 x y - x y+ 4 5 25
4) Which of the following produces as a result b6 − 8 2 7 2 3 3 a + b ⋅ b − a 7 8
7 2 7 2 3 3 a − b ⋅ b + a 8 8
49 4 a ? 64
3 7 2 b − a 8
7 2 7 2 3 3 a + b ⋅ b − a 8 8
1 2 5) Which of the following is the result of x + 2y ? 2 4y2 +
1 2 x 4
1 2 x +2xy+4y2 4
1 2 x + xy+4y2 4
1 4 2 9 2 2 2 2 x y + y − x y ? 9 25 5
6) Which of the following produces as a result 1 2 3 1 2 3 x y + y ⋅ x y − y 3 5 3 5
2 1 2 3 − x y − y 3 5
1 2 x +2x2y2 +4y2 4
2 1 2 3 x y − y 3 5
2 1 2 9 2 x y − y 9 5
4 3 5 5 2 7) Which of the following is the result of a − b ? 5 6 16 6 4 3 5 25 10 a − ab + b 25 3 36
16 9 4 3 5 25 25 a − ab + b 25 3 36
16 6 25 10 a + a 25 36
16 9 25 25 a + b 25 36
8) Which of the following produces as a result b2 + 8ab + 16a2 ? 2
(8a + b)
2
(-4a − b)
2
(4a − b)
(8a + b)⋅ (2a + b)
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Solve and Draw Solve the following exercises:
1) (−3x+5y)⋅ (−3x−5y)=_______________________________________________ 2)
6 3 4 6 3 4 a b −1,3⋅ 1,3+ a b =__________________________________________ 5 5
3)
3 2 2 x+ y =______________________________________________________ 4 9
4)
2 3 2 2 −2,5a + b =____________________________________________________ 7
Draw the figure corresponding to the following formulas:
1
a 2 - b2
2
a 2 + b2
3
a2 + ab + b2
4 a2 + 2ab + b2
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 2 TEST Cloze
Fill the blanks inserting ONE correct word: Binomial cube A
binomial
represented
______________ by
a
______________
to
the
third
______________
power
composed
can of
be
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.
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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 cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 2 TEST
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.
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
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 2 TEST - Solution Cloze
Fill the blanks inserting ONE correct word: 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.
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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 cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
CLIL Maths Module 2 TEST - Solution
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.
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
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
TEST (Module 2) Fill the blanks Complete the following Special Products: 2
1) x-2y-1 = x2 +4y2...................................+4y 2)
2 3 2 - xy2 + x2y+4y = .............4 x 4y2 +16y2................................ 4 3 9
3)
1 3 5 2 2 3 2 3 2 0.6a -1.6b +0.16 = .................................-2a b + a - b 5
9
3
4) a-2 = a3...........+12a............ 3
3 27 2 5) 0.6a b- ab =.............-2a5b3..................- a3b3 2 8
3 1 1 3 6) -0.5x-0.25y = - x3.......................................y 8 64
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Multiple choice 2
1) Which of the following is the result of (a − 2b + 3) ? a2 − 4b2 + 9 − 4ab + 3a − 6b
a2 + 4b2 + 9 − 4ab + 6a −12b
a2 + 4b2 + 9 − 2ab + 3a − 6b
a2 + 4b2 + 9
1 3
2) Which of the following produces as a result a9 − a6b2 + a3b4 − 2 1 3 3 a − b 3
3 1 2 3 −a − b 3
2 1 3 2 a − b 3
1 6 b ? 27
3 1 2 3 a − b 3
3 1 3) Which of the following is the result of 2a+ b ? 2
a2 − ab +
1 2 b 4
1 8a3 + b3 8
3 1 8a3 + 6a2b + ab2 + b3 2 8
3 1 8a3 − a2b + 6ab2 − b3 2 8
4) Which of the following produces as a result 25x 4 + 2 3 3 5 2 y − z 5x − 10 3
9 25 2 50 2 y6 + z − 3x2 y 3 − x z + y 3z ? 100 9 3
2 3 3 5 2 y + z 5x − 10 3
2 3 3 5 2 -5x − y + z 10 3
2 3 3 5 2 y + z 5x + 10 3
2 1 2 2x − x −1 5) Which of the following is the result of ? 2 4x4 +
1 2 1 x + 1 − x3 − 2x2 + x 4 2
4x4 +
1 2 x +1 4
4x4 +
1 2 1 x + 1 − x3 − 4x2 + x 4 2
4x4 − 2x3 −
15 2 x + x +1 4
6) Which of the following produces as a result 27x 3 − 9x 2 y 2 + xy 4 − 3 1 2 3x − y 3
3 1 2 3x + y 3
2 1 2 3x − y 3
1 6 y ? 27
3 1 2 9x − y 9
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Solve Solve the following exercises:
2
1) (2a−b+3c) =____________________________________________________
2)
3 2 2 1 a+ a2b− ab =_____________________________________________ 2 2 3 2
3) 0.5x +0.3y −6 =______________________________________
(
2
3
)
4)
2 5 8 x2 −4x− =__________________________________________________ 5 2
5)
3 1 2 x3 − y2 =____________________________________________________ 3 4
6)
3 0.75a+0.6b = ___________________________________________
7) 1.25x y −0.4xy
(
2
2
3
)=
____________________________________
3
3 2 8) (−a −b ) =_______________________________________________________ Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
FINAL TEST Fill the blanks Complete the following Special Products: 1) 2+ 5 xy2 ⋅ −2+ 5 xy2 = ....................4 3 4 3 4 16
2) 1-8...... ⋅ ......b5 +1 =1−64b10 2 3) −0.6+1.25xy2 = 25 x2y4..........................4 16 9
4) 4x 0.16y 5)
3-
2
2
4 =....................− x3y2................... 3
2 3 2 - xy2 + x2y+4y = .............4 x 4y2 +16y2................................ 4 3 9
3 1 1 3 6) -0.5x-0.25y = - x3.......................................y 8 64 3
27 2 2 7) a b-1.5ab =.............-2a5b3..................- a3b3 8 3
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Multiple choice Choose the correct answer to the following questions :
3 2
4 3 5 2
4 5
1) Which of the following is the result of x2y + ⋅ x2y − ? -
16 9 4 2 + x y 25 4
16 9 4 2 − x y 25 4
9 4 2 16 x y + 4 25
9 4 2 6 2 16 x y - x y+ 4 5 25
2) Which of the following produces as a result b6 − 8 2 7 2 3 3 a + b ⋅ b − a 7 8
7 2 7 2 3 3 a − b ⋅ b + a 8 8
49 4 a ? 64 7 2 7 2 3 3 a + b ⋅ b − a 8 8
3 7 2 b − a 8
4 3 5 5 2 3) Which of the following is the result of a − b ? 5 6 16 6 4 3 5 25 10 a − ab + b 25 3 36
16 9 4 3 5 25 25 a − ab + b 25 3 36
16 6 25 10 a + a 25 36
16 9 25 25 a + b 25 36
4) Which of the following produces as a result b2 + 8ab + 16a2 ? 2
(8a + b)
2
(-4a − b)
2
(8a + b)⋅ (2a + b)
(4a − b)
2 1 2 5) Which of the following is the result of 2x − x −1 ? 2 4x4 +
1 2 1 x + 1 − x3 − 2x2 + x 4 2
4x4 +
1 2 x +1 4
4x4 +
1 2 1 x + 1 − x3 − 4x2 + x 4 2
4x4 − 2x3 −
15 2 x + x +1 4
2
6) Which of the following is the result of (a − 2b + 3) ? a2 − 4b2 + 9 − 4ab + 3a − 6b
a2 + 4b2 + 9 − 4ab + 6a −12b
a2 + 4b2 + 9 − 2ab + 3a − 6b
a2 + 4b2 + 9
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
7) Which of the following produces as a result 25x 4 + 2 3 3 5 2 y − z 5x − 10 3
9 25 2 50 2 y6 + z − 3x2 y 3 − x z + y 3z ? 100 9 3
2 3 3 5 2 y + z 5x − 10 3
2 3 3 5 2 -5x − y + z 10 3
2 3 3 5 2 y + z 5x + 10 3
3 1 8) Which of the following is the result of 3a− b ? 3
1 9a2 − ab + b2 9
27a3 +
27a3 + 9a2b − ab2 +
1 3 b 27
1 3 b 27
27a3 − 9a2b + ab2 −
1 3 b 27
3 1 2
9) Which of the following is the result of 2a+ b ? a2 − ab +
1 2 b 4
1 8a3 + b3 8
3 1 8a3 + 6a2b + ab2 + b3 2 8
3 1 8a3 − a2b + 6ab2 − b3 2 8 1 3
10) Which of the following produces as a result a9 − a6b2 + a3b4 − 2 1 3 3 a − b 3
11)
3 1 2 3 −a − b 3
2 1 3 2 a − b 3
1 6 b ? 27
3 1 2 3 a − b 3
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 - b 2 a2 + b 2 a2 - 2ab + b2 a2 + b2+ab
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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 cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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+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)
6 3 4 6 3 4 a b −1 ,3 ⋅ 1 ,3+ a b =_________________________________________ 5 5
6
2) 7 a3 +8b2 ⋅ 8b2 - 7 a3 = __________________________ 6
3)
2 2 3 2 −2,5a + b =___________________________________________________ 7
4)
3 2 2 1 2 a+ a b− ab =_______________________________________________ 2 2 3
5)
1 3 2 23 x − y =_____________________________________________________ 3 4 3
3 2 6) (−2a −3b ) =_____________________________________________________ Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Draw the figure corresponding to the following formulas:
1
a 2 - 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:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
FINAL TEST SOLUTION Fill the blanks Complete the following Special Products: 1) 2+ 5 xy2 ⋅ −2+ 5 xy2 = 25 x2y4 − 4 9 3 4 3 4 16
2) 1-8b5 ⋅ 8b5 +1 =1−64b10 2 3) −0.6+1.25xy2 = 25 x2y4 − 5 xy2 + 4 16 3 9
4) 4x 0.16y 5)
3-
2
2
4 1 4 =16x6 − x3y2 + y 3 36
3 2 2 - xy2 + x2 y +4y 4 3
=
9
4 16 2 2 x2 y 4 + x 4 y2 +16y2 - x 3 y 3 -6xy 3 + x y 16 9 3
3 1 3 2 3 1 3 6) -0.5x-0.25y = - x3 x yxy2 y 8 16 32 64 3
8 9 27 2 2 7) a b-1.5ab = a6b3 -2a5b3+ a4b3 - a3b3 9 2 8 3
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Multiple choice Choose the correct answer to the following questions :
3 2
4 3 5 2
4 5
1) Which of the following is the result of x2y + ⋅ x2y − ? -
16 9 4 2 + x y 25 4
16 9 4 2 − x y 25 4
9 4 2 16 x y + 4 25
9 4 2 6 2 16 x y - x y+ 4 5 25
2) Which of the following produces as a result b6 − 8 2 7 2 3 3 a + b ⋅ b − a 7 8
7 2 7 2 3 3 a − b ⋅ b + a 8 8
49 4 a ? 64 7 2 7 2 3 3 a + b ⋅ b − a 8 8
3 7 2 b − a 8
4 3 5 5 2 3) Which of the following is the result of a − b ? 5 6 16 6 4 3 5 25 10 a − ab + b 25 3 36
16 9 4 3 5 25 25 a − ab + b 25 3 36
16 6 25 10 a + a 25 36
16 9 25 25 a + b 25 36
4) Which of the following produces as a result b2 + 8ab + 16a2 ?
(8a + b)
2
(-4a − b)
2
(8a + b)⋅ (2a + b)
(4a − b)
2
2 1 2 5) Which of the following is the result of 2x − x −1 ? 2 4x4 +
1 2 1 x + 1 − x3 − 2x2 + x 4 2
4x4 +
1 2 x +1 4
4x4 +
1 2 1 x + 1 − x3 − 4x2 + x 4 2
4x4 − 2x3 −
15 2 x + x +1 4
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
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
7) Which of the following produces as a result 25x 4 + 2 3 3 5 2 y − z 5x − 10 3
9 25 2 50 2 y6 + z − 3x 2 y 3 − x z + y 3z ? 100 9 3
2 3 3 5 2 y + z 5x − 10 3
2 3 3 5 2 -5x − y + z 10 3
2 3 3 5 2 y + z 5x + 10 3
3 1 8) Which of the following is the result of 3a− b ? 3
1 9a2 − ab + b2 9
27a3 +
27a3 + 9a2b − ab2 +
1 3 b 27
1 3 b 27
27a3 − 9a2b + ab2 −
1 3 b 27
3 1 9) Which of the following is the result of 2a+ b ? 2
a2 − ab +
1 2 b 4
1 8a3 + b3 8
3 1 8a3 + 6a2b + ab2 + b3 2 8
3 1 8a3 − a2b + 6ab2 − b3 2 8 1 3
10) Which of the following produces as a result a9 − a6b2 + a3b4 − 2 1 3 3 a − b 3
11)
3 1 2 3 −a − b 3
2 1 3 2 a − b 3
1 6 b ? 27
3 1 2 3 a − b 3
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 - b 2 a2 + b 2 a2 - 2ab + b2 a2 + b2+ab
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
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.
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..…..
A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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+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)
6 3 4 6 3 4 36 6 8 16 a b −1,3 ⋅ 1,3+ a b = ab − 5 5 25 9
6
2) 7 a3 +8b2 ⋅ 8b2 - 7 a3 = 64b4 - 49 a6 6
36
3)
2 2 25 6 10 3 2 4 4 3 2 −2,5a + b = a − a b + b 7 4 7 49
4)
3 2 2 1 2 9 2 4 4 2 1 2 2 32 2 32 3 a+ a b− ab = a + a b + a b +2ab− a b− a b 2 4 9 4 2 3 2 3
5)
1 3 2 23 1 9 1 6 2 1 3 4 8 6 x − y = x − xy + xy − y 3 64 8 3 27 4
3 2 9 6 2 3 4 6 6) (−2a −3b ) = −8a −36a b −54a b −27b 3
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010
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
Draw the figure corresponding to the following formulas:
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
Cognome:…………………………… Nome:……………………… data:…………………… classe:…..….. A cura dei Proff. Luigi Cennamo e Maria Grazia Pichereddu © 2010