1. Business English Language Workshop Introduction to Numeracy
Alan Daniel TAYLOR
Business English
Language Workshop
Introduction to Numeracy

2. Introduction to Numeracy
Course objectives
Strengthen the participants’ knowledge of the use of numers in English
Application of this knowledge in the everyday workplace

3. On completion of the Workshop
The participants will:
be more familiar with numers in English
know how to use these in the everyday workplace
be able to express basic formulae and expressions in English

4. Introduction to numbers
Say out loud the following numbers: , ,

5. Arithmetical Operations (1)
Now say the following arithmetical operations:
Addition: = 28
term + term = sum
Subtraction: 24 – 3 = 21
Multiplication: 24 x 4 = 96
factor x factor = product
Division:  4 = 6

6. Arithmetical Operations (2)
Addition: 24 plus 4 is 28
24 and 4 makes/equals 28
Subtraction: 24 less 3 is 21
24 minus 3 makes/equals 21
Multiplication: 24 times 4 is 96
24 (multiplied) by 4 makes 96
Division: 24 divided by 4 is 6
24 over 4 makes/equals 6

7. Powers & Roots (1) Now try the following: Roots 2 24 32 1/32
2 24 32 1/32
Powers and exponentials
/ x 103
Fractions
4/3 2/3 22/7 -2/3

8. Powers & Roots (2) Roots 2 = 2 to the root 2
2/32 = 2 to the root 2 over 3
Powers and exponentials
22 = 2 (raised) to the power 2
34/3 = 3 to the power 4 over 3
Fractions
4/3 = 4 over 3
-2/3 = minus 2 over 3

9. Mathematical Symbols (1)
Do you know the following mathematical symbols?
> <  
 =  
      
   
   √

10. Mathematical Symbols (2)
> <  
Greater than less than greater/equal less or equal
 =  
disequal equal plus minus approximately
      
Square brackets Curly brackets brackets pi
   
Infintivy function integral delta
   √
Tends towards percentage Sum root

11. Algebra
Is a branch of mathematics concerning the study of structure, relation and quantity.
Linear Equations
Ax + By + C = 0
Quadratic Equations
Ax2 + By + C = 0

12. Algebraic equations Try saying the following algebraic equations:
(Ax + By + C) x 105
x – (x5 + 2)
(2 + 3x) + (1 + y) /3 + 24.2
(x – 2y) x2 – 2

13. Trigonometry
Is a branch of mathematical science dealing with triangles.
Terminology
sin = Sine
cos = Cosine
tan = Tangent

14. Statistics
Is the mathematical science pertaining to the collection, analysis, interpretation and presentation of data.
Terminology:
Average or Mean
is calculated by calculating the sum of all values in a data set and dividing this by the number of values
Mode
the value that occurs the most frequently in a data set
Median
is the 'middle value' in your list. When the totals of the list are odd, the median is the middle entry in the list after sorting the list into increasing order

15. Graphs Terminology x axis y axis the x and y axes origin quadrant
intersection

16. Terminology for Graphs
Consider the function:
y=1/x:
the line approaches the x-axis (y=0), but never touches it. No matter how far we go into infinity, the line will not actually reach y=0, but will always get closer and closer
This is know as an:
asymptote

17. Straight line graphs and slope

18. Slopes and Gradients In the graphs before (a to f), which contain(s):
a line with a positive slope?
a negative slope?
slope of zero?
infinite slope?

19. Verbs for Graphs Negative Positive to decrease to increase
to drop to fall
to decline to rise
to diminish to grow
to slump to soar
to plummet to peak
to flatten out to stabilise
© Ateneo Impresa SpA - Ad uso esclusivo degli allievi di Ateneo Impresa SpA - Ogni riproduzione è vietata

20. Adverbs/adjectives for Graphs
Some adverbs/adjectives or graphs:
slow (ly) rapid (ly)
sharp (ly) gradual (ly)
progressive (ly) step by step
Regular (ly) steady/steadily
negative trend positive trend

21. Rapport Pound Sterling/Euro

22. Earning/Buying Power

23. Describing Curved Graphs
Describe the following graph

24. Line Graph

25. Histogram or Bar Chart

26. Pie Chart