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Mathematics : Algebra, Trigonometry, Geometry, Probability, Statistics, Graphs

Whole numbers
A.1 Place values in whole numbers
A.2 Word names for numbers
A.3 Roman numerals
A.4 Add and subtract whole numbers
A.5 Add and subtract whole numbers: word problems
B.1 Multiply whole numbers
B.2 Multiply whole numbers: word problems
B.3 Multiply numbers ending in zeroes
B.4 Multiply numbers ending in zeroes: word problems
B.5 Multiply three or more numbers
B.6 Multiply three or more numbers: word problems
B.7 Estimate products
C.1 Divisibility rules
C.2 Division patterns with zeroes
C.3 Divide numbers ending in zeroes: word problems
C.4 Estimate quotients
C.5 Divide whole numbers - two-digit divisors
Exponents and square roots
D.1 Write multiplication expressions using exponents
D.2 Evaluate exponents
D.3 Find the missing exponent or base
D.4 Exponents with decimal bases
D.5 Exponents with fractional bases
D.6 Square roots of perfect squares
D.7 Estimate square roots
Number theory
E.1 Prime or composite
E.2 Identify factors
E.3 Prime factorisation
E.4 Prime factorisation with exponents
E.5 Highest common factor
E.6 Lowest common multiple
E.7 HCF and LCM: word problems
F.1 What decimal number is illustrated?
F.2 Decimal place values
F.3 Word names for decimal numbers
F.4 Convert decimals to mixed numbers
F.5 Put decimal numbers in order
F.6 Inequalities with decimals
F.7 Round decimals
F.8 Round whole numbers and decimals: find the missing digit
F.9 Decimal number lines
Add and subtract decimals
G.1 Add and subtract decimal numbers
G.2 Add and subtract decimals: word problems
G.3 Estimate sums and differences of decimals
G.4 Maps with decimal distances
Multiply and divide decimals
H.1 Multiply a decimal by a one-digit whole number
H.2 Multiply a decimal by a multi-digit whole number
H.3 Multiply decimals and whole numbers: word problems
H.4 Multiply two decimals using grids
H.5 Multiply decimals
H.6 Estimate products of decimal numbers
H.7 Inequalities with decimal multiplication
H.8 Divide decimals by whole numbers
H.9 Divide decimals by whole numbers: word problems
H.10 Multiply and divide decimals by powers of ten
H.11 Division with decimal quotients
H.12 Inequalities with decimal division
Fractions and mixed numbers
I.1 Fractions and mixed numbers review
I.2 Understanding fractions: word problems
I.3 Equivalent fractions review
I.4 Write fractions in lowest terms
I.5 Fractions: word problems
I.6 Lowest common denominator
I.7 Compare fractions with like and unlike denominators
I.8 Compare fractions: word problems
I.9 Convert between improper fractions and mixed numbers
I.10 Convert between decimals and fractions or mixed numbers
I.11 Put a mix of decimals, fractions and mixed numbers in order
Add and subtract fractions
J.1 Add and subtract fractions with like denominators
J.2 Add and subtract fractions with like denominators: word problems
J.3 Add and subtract fractions with unlike denominators
J.4 Add and subtract fractions with unlike denominators: word problems
J.5 Inequalities with addition and subtraction of like and unlike fractions
J.6 Add and subtract mixed numbers
J.7 Add and subtract mixed numbers: word problems
J.8 Estimate sums and differences of mixed numbers
Multiply fractions
K.1 Fractions of whole numbers I
K.2 Fractions of whole numbers II
K.3 Fractions of a number: word problems
K.4 Estimate products of fractions and whole numbers
K.5 Multiply two fractions using models
K.6 Multiply two fractions
K.7 Multiply fractions: word problems
K.8 Multiply three or more fractions and whole numbers
K.9 Estimate products of fractions, whole numbers and mixed numbers
L.1 Understanding integers
L.2 Integers on number lines
L.3 Opposite integers
L.4 Graph integers on horizontal and vertical number lines
L.5 Compare and order integers
Operations with integers
M.1 Add integers using counters
M.2 Add integers
M.3 Subtract integers using counters
M.4 Subtract integers
M.5 Add and subtract integers: find the sign
M.6 Add and subtract integers: input/output tables
M.7 Add three or more integers
M.8 Multiply integers: find the sign
M.9 Multiply integers
M.10 Divide integers: find the sign
M.11 Divide integers
Mixed operations
N.1 Add, subtract, multiply or divide two whole numbers
N.2 Add, subtract, multiply or divide two whole numbers: word problems
N.3 Evaluate numerical expressions involving whole numbers
N.4 Add, subtract, multiply or divide two decimals
N.5 Add, subtract, multiply or divide two decimals: word problems
N.6 Evaluate numerical expressions involving decimals
N.7 Add, subtract or multiply two fractions
N.8 Add, subtract or multiply two fractions: word problems
N.9 Add, subtract, multiply or divide two integers
N.10 Evaluate numerical expressions involving integers
Rational numbers
O.1 Compare rational numbers
O.2 Put rational numbers in order
O.3 Rational numbers: find the sign
Problem solving and estimation
P.1 Estimate to solve word problems
P.2 Multi-step word problems
P.3 Word problems with extra or missing information
P.4 Guess-and-check word problems
P.5 Distance/direction to starting point
P.6 Use logical reasoning to find the order
Ratios and rates
Q.1 Write a ratio
Q.2 Write a ratio: word problems
Q.3 Identify equivalent ratios
Q.4 Write an equivalent ratio
Q.5 Ratio tables
Q.6 Unit rates and equivalent rates
Q.7 Compare ratios: word problems
Q.8 Do the ratios form a proportion?
Q.9 Solve the proportion
Q.10 Scale drawings: word problems
R.1 What percentage is illustrated?
R.2 Convert between percents, fractions and decimals
R.3 Compare percents to each other and to fractions
R.4 Compare percents and fractions: word problems
R.5 Percents of numbers and money amounts
R.6 Percents of numbers: word problems
R.7 Find what percent one number is of another
R.8 Find what percent one number is of another: word problems
Units of measurement
S.1 Estimate metric measurements
S.2 Convert and compare metric units
S.3 Metric mixed units
S.4 Convert square and cubic units of length
S.5 Convert between cubic metres and litres
S.6 Compare temperatures above and below zero
S.7 Estimate imperial measurements
S.8 Convert and compare imperial units
S.9 Imperial mixed units
S.10 Convert between metric and imperial units
S.11 Precision
T.1 Find the number of each type of coin
T.2 Add and subtract money amounts
T.3 Add and subtract money amounts: word problems
T.4 Multiply money by whole numbers
T.5 Multiply money: word problems
T.6 Divide money amounts
T.7 Divide money amounts: word problems
Consumer maths
U.1 Sale prices
U.2 Which is the better coupon?
U.3 Unit prices
U.4 Unit prices with fractions and decimals
U.5 Percents - calculate tip, mark-up and more
U.6 Percents - calculate VAT
U.7 Simple interest
V.1 Elapsed time
V.2 Time units
V.3 Find start and end times
V.4 Convert between 12-hour and 24-hour time
V.5 Transportation schedules
Coordinate plane
W.1 Objects on a coordinate plane
W.2 Graph points on a coordinate plane
W.3 Quadrants
W.4 Coordinate planes as maps
W.5 Follow directions on a coordinate plane
Expressions and properties
X.1 Write variable expressions
X.2 Write variable expressions: word problems
X.3 Evaluate variable expressions with whole numbers
X.4 Evaluate multi-variable expressions
X.5 Evaluate variable expressions with decimals
X.6 Identify terms and coefficients
X.7 Sort factors of expressions
X.8 Properties of addition
X.9 Properties of multiplication
X.10 Solve for a variable using properties of multiplication
X.11 Add and subtract like terms
X.12 Identify equivalent expressions
One-variable equations
Y.1 Which x satisfies an equation?
Y.2 Write an equation from words
Y.3 Model and solve equations using algebra tiles
Y.4 Write and solve equations that represent diagrams
Y.5 Solve one-step equations with whole numbers
Y.6 Solve one-step equations with decimals
Y.7 Solve one-step equations: word problems
Y.8 Solve two-step equations
Y.9 Solve equations involving like terms
Y.10 Solve equations involving integers
Two-variable equations
Z.1 Does (x, y) satisfy an equation?
Z.2 Identify independent and dependent variables
Z.3 Solve word problems involving two-variable equations
Z.4 Complete a table for a two-variable relationship
Z.5 Write a two-variable equation
Z.6 Identify the graph of an equation
Z.7 Graph a two-variable equation
Z.8 Interpret a graph: word problems
Two-dimensional figures
AA.1 Identify and classify polygons
AA.2 Measure and classify angles
AA.3 Types of angles
AA.4 Estimate angle measurements
AA.5 Classify triangles
AA.6 Identify trapeziums
AA.7 Classify quadrilaterals
AA.8 Graph triangles and quadrilaterals
AA.9 Find missing angles in triangles and quadrilaterals
AA.10 Sums of angles in polygons
AA.11 Lines, line segments and rays
AA.12 Name angles
AA.13 Complementary and supplementary angles
AA.14 Transversal of parallel lines
AA.15 Find lengths and measures of bisected line segments and angles
AA.16 Parts of a circle
AA.17 Central angles of circles
Symmetry and transformations
BB.1 Symmetry
BB.2 Reflection, rotation and translation
BB.3 Translations: graph the image
BB.4 Reflections: graph the image
BB.5 Rotations: graph the image
BB.6 Similar and congruent figures
BB.7 Find side lengths of similar figures
CC.1 Construct the midpoint or perpendicular bisector of a segment
CC.2 Construct an angle bisector
CC.3 Construct a congruent angle
CC.4 Construct a perpendicular line
CC.5 Construct parallel lines
CC.6 Construct an equilateral triangle or regular hexagon
Three-dimensional figures
DD.1 Identify polyhedra
DD.2 Which figure is being described?
DD.3 Nets of three-dimensional figures
DD.4 Front, side and top view
Geometric measurement
EE.1 Perimeter
EE.2 Area of figures made of unit squares
EE.3 Area of squares and rectangles
EE.4 Area of triangles
EE.5 Area of parallelograms and trapeziums
EE.6 Radius, diameter, circumference and area of a circle
EE.7 Area of compound figures
EE.8 Area between two rectangles
EE.9 Area between two triangles
EE.10 Area between two circles
EE.11 Area and perimeter of figures on grids
EE.12 Area and perimeter: word problems
EE.13 Rectangles: relationship between perimeter and area
EE.14 Compare area and perimeter of two figures
EE.15 Volume of figures made of unit cubes
EE.16 Volume and surface area of cubes and rectangular prisms
EE.17 Volume and surface area of triangular prisms
Data and graphs
FF.1 Interpret pictograms
FF.2 Create pictograms
FF.3 Interpret stem-and-leaf plots
FF.4 Create stem-and-leaf plots
FF.5 Interpret line plots
FF.6 Create line plots
FF.7 Create frequency tables
FF.8 Interpret bar graphs for categorical data
FF.9 Create bar graphs for categorical data
FF.10 Interpret double bar graphs
FF.11 Create double bar graphs
FF.12 Interpret bar graphs for continuous data
FF.13 Create bar graphs for continuous data
FF.14 Pie charts with fractions
FF.15 Interpret line graphs
FF.16 Create line graphs
FF.17 Interpret double line graphs
FF.18 Create double line graphs
FF.19 Choose the best type of graph
GG.1 Calculate mean, median, mode and range
GG.2 Interpret charts to find mean, median, mode and range
GG.3 Mean, median, mode and range: find the missing number
GG.4 Identify representative, random and biased samples
HH.1 Combinations
HH.2 Probability of one event
HH.3 Make predictions
HH.4 Probability of opposite, mutually exclusive and overlapping events
HH.5 Compound events - find the number of outcomes by counting

Extra information

Laptop and videoconference software required


Online via webcam

General info

Children (7-12 years old)
Teenagers (13-17 years old)
Student level:
45 minutes
60 minutes
The class is taught in:English, Romanian

About Me

I am a Romanian ex-Air Force avionics engineer, with extensive knowledge and didactic experience in Math teaching, eager to reveal and share the beauty and rigor of this highly scientific domain. .

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Availability of a typical week

9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00    
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00    
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from $48.91Online via webcam

Good-fit Instructor Guarantee

If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since April 2020

Availability of a typical week

9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00    
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00    
11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00    
12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00    
13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00    
from $48.91Online via webcam

Good-fit Instructor Guarantee

If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.


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