Wat is LessonUp
Zoeken
Kanalen
Inloggen
Registreren
‹
Terug naar zoeken
1819 C2X §5.1
Which exercises/theories should we discuss on the board?
1 / 19
volgende
Slide 1:
Woordweb
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
In deze les zitten
19 slides
, met
interactieve quiz
en
tekstslides
.
Lesduur is:
50 min
Start les
Bewaar
Deel
Printen
Onderdelen in deze les
Which exercises/theories should we discuss on the board?
Slide 1 - Woordweb
Working with brackets
5(2+4)=
11 -1
30 something else
Slide 2 - Tekstslide
Rectangles
You can think of the calculation 5(2+4) as working out the area of this rectangle.
Slide 3 - Tekstslide
Rectangles
The area of the rectangle is
length x width =
5 x (2+4) =
5(2+4)
Slide 4 - Tekstslide
Rectangles
area rectangle = 5(2+4) = 5 x 6 = 30
You could also calculate the area of the
blue rectangle and red rectangle first
and then add those up.
area rectangle = 5 x 2 + 5 x 4 =
10 + 20 = 30
Slide 5 - Tekstslide
Rectangles with variables
If at least one of the sides of the rectangle is given as a variable, you can make a formula for the area of the rectangle.
Slide 6 - Tekstslide
Rectangles with variables
You can make a formula with brackets and one without.
Area rectangle = 5 x (t+4) = 5(t+4)
OR
Area rectangle = 5 x t + 5 x 4 =
5t + 20
Slide 7 - Tekstslide
Rectangles with variables
Because both formulas give the same area, we now now that
5(t+4) = 5t + 20
We can use this to rewrite formulas
with brackets as formulas without
brackets.
Slide 8 - Tekstslide
Removing brackets
Write the formula y = 2(3t + 4) without brackets.
Slide 9 - Tekstslide
Removing brackets
Write the formula y = 2(3t + 4) without brackets.
Think of a rectangle with a side of 2 and a side of 3t + 4
Slide 10 - Tekstslide
Removing brackets
Write the formula y = 2(3t + 4) without brackets.
Think of a rectangle with a side of 2 and a side of 3t + 4
Area blue rectangle = 2 x 3t = 6t
Area red rectangle = 2 x 4 = 8
y = 6t + 8
Slide 11 - Tekstslide
Removing brackets
Instead of a rectangle, you can also use a
multiplication table
.
y = 2(3t + 4) = 6t + 8
Slide 12 - Tekstslide
More variables, negative numbers
If you want to write 2t(5t - 3) without brackets, it is hard to imagine a rectangle, because a lenght of -3 is not possible.
We can still use a multiplication table!
Slide 13 - Tekstslide
More variables, negative numbers
Write y = 2t(5t - 3) without brackets.
What should be written over here?
7
t
1
0
t
7
t
2
1
0
t
2
Slide 14 - Tekstslide
More variables, negative numbers
Write y = 2t(5t - 3) without brackets.
What should be written over here?
−
t
6
t
−
6
t
2
t
−
3
Slide 15 - Tekstslide
More variables, negative numbers
Write y = 2t(5t - 3) without brackets.
Slide 16 - Tekstslide
Notation
If a 1 is written in front of a variable or bracket, you do not write down the 1.
Instead of
1p
, you write
p
Instead of
-1t
, you write
-t
Instead of
-1(5t+2)
, you write
-(5t+2)
Slide 17 - Tekstslide
Homework Tuesday
Make and correct §5.1
(in book: support/standard/challenge or on iPad)
Slide 18 - Tekstslide
When working on the iPad
Also read the Theory (menu on the right)
Slide 19 - Tekstslide
Meer lessen zoals deze
2TH §5.1 Removing single brackets
November 2023
- Les met
19 slides
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
1819 G2X §5.2
December 2018
- Les met
12 slides
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
2TH §5.3 Shortening formulas
December 2023
- Les met
10 slides
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
2TH §5.2 Removing double brackets
November 2023
- Les met
16 slides
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
1TH/vwo VARIABLES+EQUATIONS
April 2019
- Les met
12 slides
Wiskunde
WO
Studiejaar 1
Chapter 5: Linear equations
Januari 2021
- Les met
22 slides
Wiskunde
WO
Studiejaar 1
Chapter 5 Fractions test
Januari 2021
- Les met
25 slides
Wiskunde
WO
Studiejaar 1
1819 H2Y §5.Practice Test
Januari 2019
- Les met
17 slides
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2