2.3 Fractions

C2 Numbers & Operations

Mr. Fintelman (FNL)

Monday October 7th

2024

1 / 32

Slide 1: Tekstslide

WiskundeMiddelbare schoolvwoLeerjaar 1

In deze les zitten 32 slides, met tekstslides.

Lesduur is: 135 min

Onderdelen in deze les

C2 Numbers & Operations

Mr. Fintelman (FNL)

Monday October 7th

2024

Slide 1 - Tekstslide

Date

Monday October 7th 2024

Paragraph

§2.3 Fractions

Pages from the handbook

Pag. 64-67

Subject

Fractions

Adding and subtracting fractions

Today is the day...

Slide 2 - Tekstslide

I can already…

… calculate the hcf and lcm.

Prior Knowledge

Slide 3 - Tekstslide

Hcf and lcm

h c f (20, 56) =

l c m (12, 15) =

h c f (28, 77) =

l c m (16, 40) =

Slide 4 - Tekstslide

Hcf and lcm

h c f (20, 56) = 4

l c m (12, 15) = 60

h c f (28, 77) = 7

l c m (16, 40) = 80

Slide 5 - Tekstslide

After this lesson, I can…

… simplify fractions.
… turn mixed numbers into improper fractions and vice versa.
… add and subtract fractions.

Goals

Slide 6 - Tekstslide

Fractions

Slide 7 - Tekstslide

Simplify Fractions

\frac{​ 6 ​ ​}{​ 9 ​} = . . .

\frac{​ 1 8 ​ ​}{​ 3 6 ​} = . . .

\frac{​ 2 5 ​ ​}{​ 1 2 5 ​} = . . .

Slide 8 - Tekstslide

Simplify Fractions

\frac{​ 6 ​ ​}{​ 9 ​} = \frac{​ 2 ​ ​}{​ 3 ​}

\frac{​ 1 8 ​ ​}{​ 3 6 ​} = \frac{​ 1 ​ ​}{​ 2 ​}

\frac{​ 2 5 ​ ​}{​ 1 2 5 ​} = \frac{​ 1 ​ ​}{​ 5 ​}

Slide 9 - Tekstslide

Mixed numbers and improper fractions

Slide 10 - Tekstslide

Simplify Fractions

\frac{​ 2 5 ​ ​}{​ 6 ​} = . . .

\frac{​ 8 5 ​ ​}{​ 9 ​} = . . .

\frac{​ 1 7 ​ ​}{​ 4 ​} = . . .

Slide 11 - Tekstslide

Simplify Fractions

\frac{​ 2 5 ​ ​}{​ 6 ​} = \frac{​ 6 + 6 + 6 + 6 + 1 ​ ​}{​ 6 ​} = 4 \frac{​ 1 ​ ​}{​ 6 ​}

\frac{​ 5 8 ​ ​}{​ 9 ​} = \frac{​ 9 + 9 + 9 + 9 + 9 + 9 + 4 ​ ​}{​ 9 ​} = 6 \frac{​ 4 ​ ​}{​ 9 ​}

\frac{​ 1 7 ​ ​}{​ 4 ​} = \frac{​ 4 + 4 + 4 + 4 + 3 ​ ​}{​ 4 ​} = 4 \frac{​ 3 ​ ​}{​ 4 ​}

Slide 12 - Tekstslide

Simplify Fractions - Quicker version

\frac{​ 2 5 ​ ​}{​ 6 ​} = \frac{​ 6 \times 4 + 1 ​ ​}{​ 6 ​} = 4 \frac{​ 1 ​ ​}{​ 6 ​}

\frac{​ 5 8 ​ ​}{​ 9 ​} = \frac{​ 9 \times 6 + 4 ​ ​}{​ 9 ​} = 6 \frac{​ 4 ​ ​}{​ 9 ​}

\frac{​ 1 7 ​ ​}{​ 4 ​} = \frac{​ 4 \times 4 + 3 ​ ​}{​ 4 ​} = 4 \frac{​ 3 ​ ​}{​ 4 ​}

Slide 13 - Tekstslide

Adding fractions

Slide 14 - Tekstslide

Adding fractions - Using lcm

Slide 15 - Tekstslide

Adding Fractions

\frac{​ 2 ​ ​}{​ 9 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = . . .

\frac{​ 1 ​ ​}{​ 2 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = . . .

\frac{​ 5 ​ ​}{​ 8 ​} + \frac{​ 2 ​ ​}{​ 3 ​} = . . .

Slide 16 - Tekstslide

Adding fractions

\frac{​ 2 ​ ​}{​ 9 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = \frac{​ 6 ​ ​}{​ 9 ​} = \frac{​ 2 ​ ​}{​ 3 ​}

\frac{​ 1 ​ ​}{​ 2 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = \frac{​ 1 \times 9 ​ ​}{​ 2 \times 9 ​} + \frac{​ 4 \times 2 ​ ​}{​ 2 \times 9 ​} = \frac{​ 9 ​ ​}{​ 1 8 ​} + \frac{​ 8 ​ ​}{​ 1 8 ​} = \frac{​ 1 7 ​ ​}{​ 1 8 ​}

\frac{​ 5 ​ ​}{​ 8 ​} + \frac{​ 2 ​ ​}{​ 3 ​} = \frac{​ 5 \times 3 ​ ​}{​ 8 \times 3 ​} + \frac{​ 8 \times 2 ​ ​}{​ 8 \times 3 ​} = \frac{​ 1 5 ​ ​}{​ 2 4 ​} + \frac{​ 1 6 ​ ​}{​ 2 4 ​} = \frac{​ 3 1 ​ ​}{​ 2 4 ​} = 1 \frac{​ 7 ​ ​}{​ 2 4 ​}

Slide 17 - Tekstslide

Adding fractions - According to the book

\frac{​ 2 ​ ​}{​ 9 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = \frac{​ 6 ​ ​}{​ 9 ​} = \frac{​ 2 ​ ​}{​ 3 ​}

\frac{​ 1 ​ ​}{​ 2 ​} + \frac{​ 4 ​ ​}{​ 9 ​} = \frac{​ 9 ​ ​}{​ 1 8 ​} + \frac{​ 8 ​ ​}{​ 1 8 ​} = \frac{​ 1 7 ​ ​}{​ 1 8 ​}

\frac{​ 5 ​ ​}{​ 8 ​} + \frac{​ 2 ​ ​}{​ 3 ​} = \frac{​ 1 5 ​ ​}{​ 2 4 ​} + \frac{​ 1 6 ​ ​}{​ 2 4 ​} = \frac{​ 3 1 ​ ​}{​ 2 4 ​} = 1 \frac{​ 7 ​ ​}{​ 2 4 ​}

Slide 18 - Tekstslide

Worktime

You work neatly by…

… reading the theory (again) before asking a question to your classmate.
… raising a hand before asking a question to the teacher.
… if the teacher is busy, remember your question and move on.

Help:

Exercises: N/A

Assignments:

Pages: 64-67

Exercises: 22, 24, 26 and 27.

Assignments from the planning of WEEK 1:

Extra:

Exercises: N/A

Slide 19 - Tekstslide

Now I can…

… simplify fractions.
… turn mixed numbers into improper fractions and vice versa.
… add and subtract fractions.

Reflection

Slide 20 - Tekstslide

Date

Tuesday October 8th 2024

Paragraph

§2.3 Fractions

Pages from the handbook

Pag. 68-69

Subject

Multiplying Fractions

Today is the day...

Slide 21 - Tekstslide

I can already…

… simplify fractions.
… turn mixed numbers into improper fractions and vice versa.
… add and subtract fractions.

Prior Knowledge

Slide 22 - Tekstslide

Simplify Fractions

\frac{​ 1 2 ​ ​}{​ 7 ​} + \frac{​ 4 ​ ​}{​ 7 ​} = . . .

\frac{​ 5 ​ ​}{​ 9 ​} - \frac{​ 1 ​ ​}{​ 2 ​} = . . .

\frac{​ 1 5 ​ ​}{​ 1 8 ​} + \frac{​ 1 2 ​ ​}{​ 1 3 ​} = . . .

Slide 23 - Tekstslide

Adding fractions

\frac{​ 1 2 ​ ​}{​ 7 ​} + \frac{​ 4 ​ ​}{​ 7 ​} = \frac{​ 1 6 ​ ​}{​ 7 ​} = 2 \frac{​ 2 ​ ​}{​ 7 ​}

\frac{​ 5 ​ ​}{​ 9 ​} - \frac{​ 1 ​ ​}{​ 2 ​} = \frac{​ 5 \times 2 ​ ​}{​ 2 \times 9 ​} - \frac{​ 1 \times 9 ​ ​}{​ 2 \times 9 ​} = \frac{​ 1 0 ​ ​}{​ 1 8 ​} - \frac{​ 9 ​ ​}{​ 1 8 ​} = \frac{​ 1 ​ ​}{​ 1 8 ​}

\frac{​ 1 5 ​ ​}{​ 1 8 ​} + \frac{​ 1 2 ​ ​}{​ 1 3 ​} = \frac{​ 1 5 \times 1 3 ​ ​}{​ 1 8 \times 1 3 ​} + \frac{​ 1 8 \times 1 2 ​ ​}{​ 1 8 \times 1 3 ​} = \frac{​ 1 9 5 ​ ​}{​ 2 3 4 ​} + \frac{​ 2 1 6 ​ ​}{​ 2 3 4 ​} = \frac{​ 4 1 1 ​ ​}{​ 2 3 4 ​} = 1 \frac{​ 1 7 7 ​ ​}{​ 2 3 4 ​} = 1 \frac{​ 5 9 ​ ​}{​ 7 8 ​}

Slide 24 - Tekstslide

Adding fractions - According to the book

\frac{​ 1 2 ​ ​}{​ 7 ​} + \frac{​ 4 ​ ​}{​ 7 ​} = \frac{​ 1 6 ​ ​}{​ 7 ​} = 2 \frac{​ 2 ​ ​}{​ 7 ​}

\frac{​ 5 ​ ​}{​ 9 ​} - \frac{​ 1 ​ ​}{​ 2 ​} = \frac{​ 1 0 ​ ​}{​ 1 8 ​} - \frac{​ 9 ​ ​}{​ 1 8 ​} = \frac{​ 1 ​ ​}{​ 1 8 ​}

\frac{​ 1 5 ​ ​}{​ 1 8 ​} + \frac{​ 1 2 ​ ​}{​ 1 3 ​} = \frac{​ 1 9 5 ​ ​}{​ 2 3 4 ​} + \frac{​ 2 1 6 ​ ​}{​ 2 3 4 ​} = \frac{​ 4 1 1 ​ ​}{​ 2 3 4 ​} = 1 \frac{​ 1 7 7 ​ ​}{​ 2 3 4 ​} = 1 \frac{​ 5 9 ​ ​}{​ 7 8 ​}

Slide 25 - Tekstslide

After this lesson, I can…

… multiply fractions.

Goals

Slide 26 - Tekstslide

Multiplying Fractions

Slide 27 - Tekstslide

Multiplying Fractions

\frac{​ 2 ​ ​}{​ 9 ​} \cdot \frac{​ 4 ​ ​}{​ 9 ​} = . . .

\frac{​ 6 ​ ​}{​ 1 1 ​} \cdot \frac{​ 3 ​ ​}{​ 7 ​} = . . .

\frac{​ 2 ​ ​}{​ 3 ​} \div \frac{​ 4 ​ ​}{​ 5 ​} = . . .

Slide 28 - Tekstslide

Multiplying Fractions

\frac{​ 2 ​ ​}{​ 9 ​} \cdot \frac{​ 4 ​ ​}{​ 9 ​} = \frac{​ 2 \cdot 4 ​ ​}{​ 9 \cdot 9 ​} = \frac{​ 8 ​ ​}{​ 8 1 ​}

\frac{​ 6 ​ ​}{​ 1 1 ​} \cdot \frac{​ 3 ​ ​}{​ 7 ​} = \frac{​ 6 \cdot 3 ​ ​}{​ 1 1 \cdot 7 ​} = \frac{​ 1 8 ​ ​}{​ 7 7 ​}

\frac{​ 2 ​ ​}{​ 3 ​} \div \frac{​ 4 ​ ​}{​ 5 ​} = \frac{​ 2 \cdot 5 ​ ​}{​ 3 \cdot 4 ​} = \frac{​ 1 0 ​ ​}{​ 1 2 ​} = \frac{​ 5 ​ ​}{​ 6 ​}

Slide 29 - Tekstslide

Exercise 33 (Homework)

Slide 30 - Tekstslide

Worktime

You work neatly by…

… reading the theory (again) before asking a question to your classmate.
… raising a hand before asking a question to the teacher.
… if the teacher is busy, remember your question and move on.

Help:

Exercises: N/A

Assignments:

Pages: 64-67

Exercises: 22, 24, 26, 27, 30, 32, 33, 35 and 36.

Assignments from the planning of WEEK 1:

Extra:

Exercises: 38

Slide 31 - Tekstslide

Now I can…

… multiply fractions.

Reflection

Slide 32 - Tekstslide

2.3 Fractions

Onderdelen in deze les

Slide 1 - Tekstslide

Slide 2 - Tekstslide

Slide 3 - Tekstslide

Slide 4 - Tekstslide

Slide 5 - Tekstslide

Slide 6 - Tekstslide

Slide 7 - Tekstslide

Slide 8 - Tekstslide

Slide 9 - Tekstslide

Slide 10 - Tekstslide

Slide 11 - Tekstslide

Slide 12 - Tekstslide

Slide 13 - Tekstslide

Slide 14 - Tekstslide

Slide 15 - Tekstslide

Slide 16 - Tekstslide

Slide 17 - Tekstslide

Slide 18 - Tekstslide

Slide 19 - Tekstslide

Slide 20 - Tekstslide

Slide 21 - Tekstslide

Slide 22 - Tekstslide

Slide 23 - Tekstslide

Slide 24 - Tekstslide

Slide 25 - Tekstslide

Slide 26 - Tekstslide

Slide 27 - Tekstslide

Slide 28 - Tekstslide

Slide 29 - Tekstslide

Slide 30 - Tekstslide

Slide 31 - Tekstslide

Slide 32 - Tekstslide

Meer lessen zoals deze

Adding and subtracting/multiplying fractions

§1.2 Simplifying Fractions

§1.3 Multiplying, Adding and Subtracting Powers

lesson 1 THV2

2TH §4.6 Test Preparation

2TH §4.6 Test Preparation

3TH / VWO §9.1/§9.4 Calculating with fractions

§5.2 Theory ABCD (H3A)