Froggy Jumps: Jump and Learn with us (juegodivertido - inteligecia


Froggy Jumps Jump and Learn with usOnline version This game is a mathematical game of quadratic equations named “Jump and learn with us”, where the objective is to get the frog to the finish line without sinking by answering quadratic equations. by Paulina Bañales Campos 1 What is a Quadratic Equation ? a An expression, rule, or law that defines a relationship between one variable and another variable. b An equation with one variable and degree two. c Parameter of an object or system calculated as an aid to its classification or solution. 2 What is the general form of a quadratic equation? a b c 3 Why can’t a = 0 ? a Because the x squared term would vanish ( eliminate) b Because it is not possible for a to be 0. c Because “a” will always be a prime number squared. 4 What is an incomplete quadratic equation? a When the linear term ( bx) or the constand ( c ) is missing. b An algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term. c Mathematical sentence that has two equal sides separated by an equal sign. 5 a X=±6 b x=±8 c x=± 9 6 a b c 7 a x = ± 6 b x = ± 10 c x = ± 12 8 a x1 = 10 , x2= -2 b x1=2 , x2 = -2 c - x1 =- 10 , x2 = 2 9 Which is the Quadratic formula? a b c 10 a x1= - 4 x2= ½ b x1= 4 x2= - 1 c x1= - 4 x2=-½ 11 a y1= -3 y2=1/2 b y1= 3 y2= -3 c y1= 3 y2= 1/2 12 a x1= -4 x2= 8 b x1= 4 x2= -8 c x1= 4 x2 = 8 13 a (d-6) 2d+3 b (d+6)(2d +3) c d=6 2d= 3 14 a x= 10/3 b x=3/10 c x= 30 15 a x= 2 b x= 3 c x= 4 16 Which one of the following is the formula of discriminant? a a + bx + c = 0 b b2- 4ac c b + 4ac = 0 17 a a = 1 b = 0 c = - 11 d = 44. Since d > 0 then there are 2 real solutions and 2 x intercepts. b a = 1 b = 0 c = - 11 d = 44. Since d > 0 then there is one real solution and 2 intercepts. c There is no poaible answer. 18 a One real solution and one x intercept (16)2 -4 (16) (4) = 256-256= 0 b No real solution. c Two real solutions and two x intercepts. 19 Which is the formula to solve an equation by completing the square? a b c 20 a x= 45+6 x= 45-6 b x1= 45+6 x2= 45-6 c x1= √45 +6 x2= √45 -6 21 a x1= 10 +9 =19 x2= -10+9= -1 b x1= 10 -9= 1 x2= 10+9= 19 c x1= 10 +9= 19 x2= 10 -9= 1 22 a x1= 5 + 2 = 7 x2= 5 - 2 = 3 b x1= -2 x2= -3 c x1= 2 x2= 3 23 a y1= 9, x2= 2 b x1= - 9, x2= 2 c x1= 9, x2= 2 24 a (1,4) (2,16) (0 vertex) (-1,4) (-2,16) b (1,3) (2,6) (0,0) (-1,3) (-2,6) c (2,4) (3,16) (0 vertex) (-2,4) (-3,16) 25 a (-3,9) (-2,3) (-1,3) (0,9) b (-2,6) (-1,9) (1,9) (2,6) c (-2,9) (-1,3) (1,3) (2,9) 26 a (1,5) (0,-4) (-1,vertex) (-2,-4) (-3,5) b (1,5) (-0,4) (-1,vertex) (2,4) (3,5) c (1,5) (0,-4) (-1,2) (-2,-4) (-3,5) 27 When a is positive the vertex is minimum? a True b False c It depend on the equation 28 The height of a triangle measures twice it's ase and it has an area of 36sq cm. What are the measure of the triangle? a b=-5 , b=+6 b b=-6 , b=+6 c b=-4, b=+4 29 Twice the square of a certain positive number is 144 more than twice the number. What is the number? a x=5 x=10 b x=9 x=8 c x=4 x=8 30 A picture frame measures 14cm by 22cm and 84sq cm of a picture shows. Find the width of the frame a x= 10cm b x= 4cm c x= 8cm

1

What is a Quadratic Equation ?

a

An expression, rule, or law that defines a relationship between one variable and another variable.

b

An equation with one variable and degree two.

c

Parameter of an object or system calculated as an aid to its classification or solution.

2

What is the general form of a quadratic equation?

a

b

c

3

Why can’t a = 0 ?

a

Because the x squared term would vanish ( eliminate)

b

Because it is not possible for a to be 0.

c

Because “a” will always be a prime number squared.

4

What is an incomplete quadratic equation?

a

When the linear term ( bx) or the constand ( c ) is missing.

b

An algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term.

c

Mathematical sentence that has two equal sides separated by an equal sign.

5

a

X=±6

b

x=±8

c

x=± 9

6

a

b

c

7

a

x = ± 6

b

x = ± 10

c

x = ± 12

8

a

x1 = 10 , x2= -2

b

x1=2 , x2 = -2

c

- x1 =- 10 , x2 = 2

9

Which is the Quadratic formula?

a

b

c

10

a

x1= - 4 x2= ½

b

x1= 4 x2= - 1

c

x1= - 4 x2=-½

11

a

y1= -3 y2=1/2

b

y1= 3 y2= -3

c

y1= 3 y2= 1/2

12

a

x1= -4 x2= 8

b

x1= 4 x2= -8

c

x1= 4 x2 = 8

13

a

(d-6) 2d+3

b

(d+6)(2d +3)

c

d=6 2d= 3

14

a

x= 10/3

b

x=3/10

c

x= 30

15

a

x= 2

b

x= 3

c

x= 4

16

Which one of the following is the formula of discriminant?

a

a + bx + c = 0

b

b2- 4ac

c

b + 4ac = 0

17

a

a = 1 b = 0 c = - 11 d = 44. Since d > 0 then there are 2 real solutions and 2 x intercepts.

b

a = 1 b = 0 c = - 11 d = 44. Since d > 0 then there is one real solution and 2 intercepts.

c

There is no poaible answer.

18

a

One real solution and one x intercept (16)2 -4 (16) (4) = 256-256= 0

b

No real solution.

c

Two real solutions and two x intercepts.

19

Which is the formula to solve an equation by completing the square?

a

b

c

20

a

x= 45+6 x= 45-6

b

x1= 45+6 x2= 45-6

c

x1= √45 +6 x2= √45 -6

21

a

x1= 10 +9 =19 x2= -10+9= -1

b

x1= 10 -9= 1 x2= 10+9= 19

c

x1= 10 +9= 19 x2= 10 -9= 1

22

a

x1= 5 + 2 = 7 x2= 5 - 2 = 3

b

x1= -2 x2= -3

c

x1= 2 x2= 3

23

a

y1= 9, x2= 2

b

x1= - 9, x2= 2

c

x1= 9, x2= 2

24

a

(1,4) (2,16) (0 vertex) (-1,4) (-2,16)

b

(1,3) (2,6) (0,0) (-1,3) (-2,6)

c

(2,4) (3,16) (0 vertex) (-2,4) (-3,16)

25

a

(-3,9) (-2,3) (-1,3) (0,9)

b

(-2,6) (-1,9) (1,9) (2,6)

c

(-2,9) (-1,3) (1,3) (2,9)

26

a

(1,5) (0,-4) (-1,vertex) (-2,-4) (-3,5)

b

(1,5) (-0,4) (-1,vertex) (2,4) (3,5)

c

(1,5) (0,-4) (-1,2) (-2,-4) (-3,5)

27

When a is positive the vertex is minimum?

a

True

b

False

c

It depend on the equation

28

The height of a triangle measures twice it's ase and it has an area of 36sq cm. What are the measure of the triangle?

a

b=-5 , b=+6

b

b=-6 , b=+6

c

b=-4, b=+4

29

Twice the square of a certain positive number is 144 more than twice the number. What is the number?

a

x=5 x=10

b

x=9 x=8

c

x=4 x=8

30

A picture frame measures 14cm by 22cm and 84sq cm of a picture shows. Find the width of the frame

a

x= 10cm

b

x= 4cm

c

x= 8cm

Jump and Learn with us

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Jump and Learn with us

Froggy Jumps

Download the paper version to play

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Jump and Learn with usOnline version

by Paulina Bañales Campos

What is a Quadratic Equation ?

What is the general form of a quadratic equation?

Why can’t a = 0 ?

What is an incomplete quadratic equation?

Which is the Quadratic formula?

Which one of the following is the formula of discriminant?

Which is the formula to solve an equation by completing the square?

When a is positive the vertex is minimum?

The height of a triangle measures twice it's ase and it has an area of 36sq cm. What are the measure of the triangle?

Twice the square of a certain positive number is 144 more than twice the number. What is the number?

A picture frame measures 14cm by 22cm and 84sq cm of a picture shows. Find the width of the frame