Guided self-work of students

№1

The skillfulness in Mathematics as the element of professional teacher training

DISCUSSION

In groups of two or three discuss the following points and report back to the class on your major conclusions.

1. Can you restate a daily life problem in mathematical terms? What real-world problems do you solve using algebraic concepts and formulas?

2. Why should a teacher have a broad understanding of the fundamental concepts of mathematics to educate effectively?

3. What topics should a comprehensive subject review include to help you prepare for the Science part of the LAST?

4. Do you think you need a quick or thorough Mathematics review?

PRE-READING ACTIVITIES

Vocabulary enrichment

Mathematics Terms Review

Number Sense And Numeration

Understanding and Ordering Whole Numbers

dot

cardinal

ordinal

number line

equal to (=)

less than (<)

greater (>)

Place Value

digit

numeral

place value chart

Positive Exponents

base

factor

scientific notation

Ordering, Comparing, Rounding Whole Numbers and Decimals

to line up

Understanding and Ordering Fractions

numerator

denominator

equivalent fraction

equivalent to (=), less than (<), greater than (>)

to cross multiply

cross product

equal

mixed number

improper fraction

Add, Subtract, Multiply, and Divide

order of operations

parenthesis

addition

subtraction

multiplication

division

equals

Number Theory

natural numbers

remainder

prime numbers

composite numbers

divisible

Real Number Systems And Subsystems

Add, Subtract, Multiply, and Divide Decimals

decimal point

decimal places

leading zeros

total number

divisor

dividend

Multiplying, Dividing, Adding, and Subtracting Fractions and Mixed Numbers

common denominator

simplest form

to invert

Square Roots

perfect squares

Ratio and Proportion

colon

Percent

percent sign

equivalency

to delete

to simplify

percent problems

Probability And Simple Statistics

Probability

occurrence

likelihood

to flip

fair coin

heads; tails

Dependent and Independent Events

outcome

a deck of cards

replacement

to affect

to pick

Statistics

set of numbers

mean (average)

median

mode

Algebra

Adding and Subtracting Integers

same/different signs

to disregard

Multiplying and Dividing Integers

product

quotient

Formulasexpression

variable

to evaluate

figure

triangle

square

rectangle

parallelogram

trapezoid

circle

cube

rectangular prism

sphere

area

volume

perimeter

radius (r)

diameter (d)

side (s)

base (b)

height (h)

length (l)

width (w)

Pythagorean formula

Equations

solution

to isolate

to substitute

to check

two-step equations

Geometry

two-dimensional

point

plane

space

line, line segment

ray

coordinate grid

ordered pairs of numbers

x, y axis

to plot

parallel, perpendicular lines

angle(s) (acute, right, obtuse; complementary, supplementary)

polygon (pentagon, hexagon, octagon)

triangle ( equilateral, isosceles, scalene)

quadrilateral (square, rhombus, rectangle, parallelogram, trapezoid)

Using Diagrams

logical connectives (all, some, none)

deductive reasoning

assumption

to draw

Measurement

Measuring with a Ruler and a Protractor. customary, metric rulers

Weight And Mass

Customary (English) Units

inch (in.)

foot (ft.)

yard (yd)

mile (mi)

weight

ounce (oz)

pound (lb)

ton (T)

capacity

cup

pint (pt)

quart (qt)

gallon (gal)

Metric System meter, centimeter, millimeter, kilometer

mass

gram, kilogram

capacity

liter, milliliter

Time and Temperature

to partition

time zone

Fahrenheit, Celsius thermometers

READING ACTIVITIES