This lesson contains 37 slides, with interactive quizzes and text slides.
Lesson duration is: 50 min
Items in this lesson
GOOD LUCK!
Slide 1 - Slide
Exercise 1
Slide 2 - Slide
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula s = 4 + 2x2. a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
Calculate the length of the plants after 3 days. And after one week.
3.a
s=4+2x2
Slide 3 - Open question
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula s = 4 + 2x2. a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
What was the length of the plants when Sandra started writing this down (at day 0)?
3.b
s=4+2x2
Slide 4 - Open question
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula s = 4 + 2x2. a. Calculate the length of the plants after 3 days. And after one week.
Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
Lemon trees can become 6 meters long when they are full grown (6 m = 6000 mm)! Sandra says after 30 days she has a fullgrown tree. Do you think this can be true? Why or why not?
3.c
s=4+2x2
Slide 5 - Open question
Exercise 2
Slide 6 - Slide
Given the formula
find y when x = 3
y=3x2−20
4.a
Slide 7 - Open question
Given the formula
find y when x = -6
y=−5x2
4.b
Slide 8 - Open question
Given the formula
find y when x =
y=(x−2)2
42
4.c
Slide 9 - Open question
Exercise 3
Slide 10 - Slide
Which function is a linear function and which function is a quadratic function? Drag the functions to the right place.
5.a
Linear function
Quadratic function
Slide 11 - Drag question
Two functions are given:
and
Make tables for both functions and draw both the graphs on one coordinate plane.
y=21x2
y=−2x−2
5.b
Slide 12 - Slide
Two functions are given and The graphs intersect at one point. What are the coordinates of this point?
y=21x2
y=−2x−2
5.c
Slide 13 - Open question
Exercise 4
Slide 14 - Slide
The photo shows the Mike O’Callaghan-Pat Tillman Memorial Bridge in the United States of America.
Slide 15 - Slide
The bridge has the shape of a parabola, which can be modelled by the formula
In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters. What is the heighest point of this bidge?
How far above the water is the highest point of the arch?
6.a
y=675−0,0014x2
Slide 16 - Open question
The bridge has the shape of a parabola, which can be modelled by the formula
In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.
How far above the water is the beginning point of the arch (A)? And the end point (B)?
6.b
y=675−0,0014x2
Slide 17 - Open question
The bridge has the shape of a parabola, which can be modelled by the formula
In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.
What is the distance between point A and point B?
6.c
y=675−0,0014x2
Slide 18 - Open question
Exercise 5
Slide 19 - Slide
Simplify: 7a + 3ab + 4a
To answer with a square on your laptop:
5^2 =
52
7.a
Slide 20 - Open question
Simplify:
−8p⋅−2q⋅p
To answer with a square on your laptop:
5^2 =
52
7.b
Slide 21 - Open question
Simplify: 5ac + 13b
To answer with a square on your laptop:
5^2 =
52
7.c
Slide 22 - Open question
Simplify:
To answer with a square on your laptop:
5^2 =
52
21ac⋅43bd
7.d
Slide 23 - Open question
Simplify:
2x⋅−6xyz
To answer with a square on your laptop:
5^2 =
52
7.e
Slide 24 - Open question
Simplify:
To answer with a square on your laptop:
5^2 =
52
p⋅3q⋅r⋅0
7.f
Slide 25 - Open question
Simplify: 7xy + 5z + 3
To answer with a square on your laptop:
5^2 =
52
7.g
Slide 26 - Open question
Simplify:
To answer with a square on your laptop:
5^2 =
52
52bc+32cb
7.h
Slide 27 - Open question
Exercise 6
Slide 28 - Slide
Simplify: -3y - 7y
8.a
Slide 29 - Open question
Simplify: 7q - 4p - 3q + p
8.b
Slide 30 - Open question
Simplify:
165x−−31
8.c
Slide 31 - Open question
Simplify: 5xy - 7xz + 4yz - 2xz
8.d
Slide 32 - Open question
Simplify:
−121abc+−281abc
8.e
Slide 33 - Open question
Simplify: -2ab - - 3a
8.f
Slide 34 - Open question
Simplify: 2a + 3ab - 5ab - 7a
8.g
Slide 35 - Open question
Simplify: -8ac - 4bc + 2ab + 5ac
8.h
Slide 36 - Open question
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