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Second Year Maths Topics

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video
Number Theory
Divisibility Rules
Prime factors
Determining Common Factors
Determining Common Multiples
Introduction to exponents
video
Adding and Subtracting Integers
Introduction to integer addition
Adding integers
Introduction to integer subtraction
Subtracting integers
Application of integer operations
video
Multiplying and Dividing Integers
Understanding integer multiplication
Multiplying integers
Understanding integer division
Dividing integers
Applications of integer operations
video
Rational Numbers
Comparing and ordering rational numbers
Solving problems with rational numbers in decimal form
Solving problems with rational numbers in fraction form
Determine square roots of rational numbers
video
Adding and Subtracting Fractions
Using models to add and subtract fractions
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding and subtracting fractions with unlike denominators
Adding and subtracting mixed numbers
video
Multiplying and Dividing Fractions
Multiplying fractions and whole numbers
Dividing fractions with whole numbers
Multiplying proper fractions
Multiplying improper fractions and mixed numbers
Dividing fractions and mixed numbers
Applications of fraction operations
video
Powers and Exponents
Using exponents to describe numbers
Exponent rules
Order of operations with exponents
Using exponents to solve problems
video
Radicals
Square and square roots
Cubic and cube roots
Evaluating and simplifying radicals
Converting radicals to mixed radicals
Converting radicals to entire radicals
Adding and subtracting radicals
Multiplying and dividing radicals
Rationalize the denominator
video
Exponents
Product rule of exponents
Quotient rule of exponents
Power of a product rule
Power of a quotient rule
Power of a power rule
Negative exponent rule
Combining the exponent rules
Scientific notation
Convert between radicals and rational exponents
Solving for exponents
video
Ratios, Rates, and Proportions
Ratios
Rates
Proportions
video
Proportional Relationships
Identifying proportional relationships
Understanding graphs of linear relationships
Understanding tables of values of linear relationships
Applications of linear relationships
video
Percents
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
video
Measuring Systems
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
video
Coordinates, Quadrants, and Transformations
Cartesian plane
Draw on coordinate planes
Introduction to transformations
Horizontal and vertical distances
video
Angles, Lines, and Transversals
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
video
Properties of Triangles
Classifying Triangles
Isosceles and Equilateral Triangles
video
Circles
Circles and circumference
Angles in a circle
Arcs of a circle
Areas and sectors of circles
video
Congruent Triangles
Congruence and congruent triangles
Triangles congruent by SSS proofs
Triangles congruent by SAS and HL proofs
Triangles congruent by ASA and AAS proofs
video
Symmetry and Surface Area
Line symmetry
Rotational symmetry and transformations
Surface area of 3-dimensional shapes
video
Pythagorean Theorem
Squares and square roots
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem
video
Introduction to 3-Dimensional Figures
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
Surface area of prisms
Surface area of cylinders
video
Volume
Introduction to volume
Volume of prisms
Volume of cylinders
Word problems relating volume of prisms and cylinders
video
Patterns and Solving Equations
Patterns
Evaluating algebraic expressions
Solving one - step equations: x + a = b
Graphing linear relations
video
Linear Equations (Basic)
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using addition and subtraction: ax + b = c
Solving two-step linear equations using multiplication and division: x/a + b = c
Solving two-step linear equations using distributive property: a(x + b) = c
video
Solving Linear Equations
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
Solving literal equations
video
Linear Inequalities
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
video
Introduction to Relations and Functions
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Function notation
video
Polynomials
Characteristics of polynomials
Equivalent expressions of polynomials
Adding and subtracting polynomials
video
Operations of Polynomials
What is a polynomial?
Using algebra tiles to factorise polynomials
Polynomial components
Multiplying monomial by monomial
Multiplying monomial by binomial
Multiplying binomial by binomial
Multiplying polynomial by polynomial
Applications of polynomials
video
Data and Graphs
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Stem-and-leaf plots
Pie charts
Reading and drawing Venn diagrams
Frequency tables and dot plots
video
Statistics
Median and mode
Mean
Range and outliers
Application of averages
video
Introduction to Probability
Introduction to probability
Organizing outcomes
Probability of independent events
Comparing experimental and theoretical probability

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