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Mathematics - International - 0607 - Core - Concept Videos

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Understanding and using indices

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Rules of indices

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Constructing simple equations

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Solving linear equations

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Solving simultaneous equations

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Using a calculator to solve equations

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Changing the subject of a formula

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Representing and interpreting inequalities

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Recognizing number patterns

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Finding the nth term for Linear sequences, simple quadratic sequences, simple cubic sequences

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Understanding variables

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Substituting values into expressions

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Simplifying expressions

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Expanding products of algebraic expressions

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Factorizing expressions

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Simplifying algebraic fractions

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Set notation (Number of Elements, Complement, Universla Set, Union, Intersection)

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Venn diagrams (limited to two sets)

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Understanding and using set language

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Understanding squares and square roots

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Understanding cubes and cube roots

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Understanding other powers and roots

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Decimals, and Percentages, Proper and improper fractions

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Decimals, and Percentages, Mixed numbers

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Decimals, and Percentages, Decimal and percentage conversions

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Ordering numbers using =, ≠, >, <, ≥, ≤

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Operations with integers, fractions, and decimals

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Order of operations (including brackets)

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Understanding and using indices

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Rules of indices

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Expressing numbers in standard form

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Converting to and from standard form

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Calculating with standard form

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Rounding values

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Estimating calculations

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Rounding answers appropriately

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Simplifying ratios

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Dividing a quantity in a given ratio

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Using proportional reasoning

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Common rates

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Solving problems involving average speed

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Calculating percentages of a quantity

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Expressing one quantity as a percentage of another

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Percentage increase/decrease

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Simple and compound interest

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Efficient calculator use

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Entering values correctly

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Interpreting calculator displays

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Time calculations

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12-hour and 24-hour clock conversions

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Reading timetables

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Calculations with money

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Currency conversions

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Natural numbers

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Integers (positive, zero, and negative)

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Prime numbers

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Square numbers

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Cube numbers

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Triangle numbers

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Common factors and common multiples

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Rational and irrational numbers

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Reciprocals

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Solving problems with compound shapes

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Using metric units

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Converting between units

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Perimeter and area of simple shapes

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Circumference and area of circles

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Arc length and sector area

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Surface area of solids

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Volume of solids

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Applying Pythagoras’ theorem

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Using trigonometric ratios

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Solving trigonometric problems

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Reflection, rotation, enlargement, and translation

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Understanding probability scale

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Calculating probability of events

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Complementary probability

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Understanding relative frequency

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Estimating expected values

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Using sample space diagrams

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Using Venn diagrams

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Using tree diagrams

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Recognizing function types based on graph shape (Linear, Quadratic Equations)

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Using a calculator to sketch graphs

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Understanding and using function notation

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Organizing data into tables

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Reading statistical tables and diagrams

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Comparing datasets

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Understanding discrete and continuous data

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Calculating statistical measures

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Using a calculator for statistics

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Drawing and interpreting various charts

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Understanding scatter plots

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Recognizing correlation

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Drawing a line of best fit

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Using and interpreting Cartesian coordinates in two dimensions

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Finding the gradient of a straight line from a grid

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Calculating the length of a line segment from given coordinates

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Finding the coordinates of the midpoint of a line segment

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Understanding and obtaining the equation of a straight-line graph in the form y=mx+c

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Identifying the gradient and y-intercept from an equation

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Finding the equation of a straight line given its graph

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Finding equations of parallel lines

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Understanding basic geometric terms

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Recognizing types of shapes (Triangles, Quadrilaterals, Polygons, Solids)

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Understanding circle terminologies

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Measuring and drawing angles

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Using three-figure bearings

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Calculating lengths of similar shapes

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Recognizing line and rotational symmetry

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Using angle properties of points and lines

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Using angle properties in polygons

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Using angle properties in parallel lines

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Angle in a semicircle

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Tangent and radius theorem

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Tangents from an external point

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