Master Year 8 Maths

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Year 8 Maths Topics

Numbers and Relations

Comparing and ordering numbers

Rounding numbers

Number Theory

Divisibility rules

Determining common factors

Determining common multiples

Introduction to exponents

Adding and Subtracting Integers

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Applications of integer operations

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

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

Operations with Decimals

Adding and subtracting decimal numbers

Multiplying decimal numbers

Dividing decimal numbers

Order of operations (BIDMAS)

Adding and Subtracting Fractions

Using model 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

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

Powers, Exponents and Square Roots

Using exponents to describe numbers

Order of operations with exponents

Using exponents to solve problems

Squares and square roots

Estimating square roots

Square Root and Cube Root

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

Ratios, Rates, and Proportions

Proportional Relationships

Identifying proportional relationships

Understanding graphs of linear relationships

Understanding tables of values of linear relationships

Applications of linear relationships

Percents

Representing percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

Taxes, discounts, tips and more

Simple interest

Measuring Systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Patterns and Expressions

Evaluating algebraic expressions

Evaluating polynomials

Graphing Linear relations

Solving Linear Equations

Solving one-step equations: x + a = b

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

Introduction to Polynomials

Characteristics of polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Linear Inequalities

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Compound inequalities

Linear Functions

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

Gradient intercept form: y = mx + b

General form: Ax + By + C = 0

Gradient-point form:

y - y_1 = m (x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing linear functions using various forms

Graphing linear functions using a single point and gradient

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

Angles, Lines, and Transversals

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Properties of Triangles

Classifying Triangles

Isosceles and equilateral triangles

Circles

Circles and circumference

Arcs of a circle

Areas and sectors of circles

Coordinates, Quadrants, and Transformations

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Scale Factors and Similarity

Enlargements and reductions with scale factors

Similar triangles

Similar polygons

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

Volume

Introduction to volume

Volume of prisms

Volume of cylinders

Word problems relating volume of prisms and cylinders

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

Reading and drawing Venn diagrams

Statistics

Median and mode

Range and outliers

Application of averages

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability with Venn diagrams

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