Year 8 Maths Skills () « All Years

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Numbers & Integers

  1. Number theory

    1. Scientific notation
    2. Is the number prime or composite
    3. Revisiting factors
    4. Divisibility rules
    5. Prime factorisation
    6. Highest common factor (HCF)
    7. Lowest common multiple {LCM}
    8. HCF and LCM: world scenarios
    9. Classifying numbers

  2. Integers

    1. Integers on number lines
    2. Graph integers on horizontal and vertical number lines
    3. Absolute value and opposite integers
    4. Compare and order integers
    5. Integer inequalities with absolute values

  3. Operations with integers

    1. Rules for adding and subtracting positive and negative numbers: Skill builder
    2. Add and subtract integers using counters
    3. Adding and subtracting integers: Practice
    4. Add and subtract three or more integers
    5. Add and subtract integers: world scenarios
    6. Integer multiplication and division rules: Skill builder
    7. Multiplying and dividing integers
    8. Evaluating numerical expressions involving integers

  4. Exponents

    1. Understanding exponents
    2. Evaluating exponents
    3. Solving equations with variable exponents
    4. Exponents that have negative bases
    5. Exponents with decimal and fractional bases
    6. Understanding negative exponents
    7. Multiplication with exponents
    8. Division with exponents

  5. Square and Cube roots

    1. Square roots of perfectly squared numbers
    2. Estimating square roots
    3. Relationship between squares and square roots
    4. Solving equations involving squares and square roots
    5. Cube roots of perfect cubes
    6. Estimating cube roots
    7. Solving equations involving cubes and cube roots

Rational Numbers & Operations

  1. Rational numbers

    1. Identifying rational and irrational numbers
    2. Simplify fractions to lowest terms
    3. Lowest common denominator (LCD)
    4. Rounding decimals and mixed numbers
    5. Absolute value of rational numbers
    6. Converting between decimals and fractions or mixed numbers
    7. Repeating (recurring) decimals
    8. Comparing rational numbers
    9. Sort rational numbers in order

  2. Operations with rational numbers

    1. Reciprocals and multiplicative inverses
    2. Apply addition and subtraction rules
    3. Adding and subtracting rational numbers
    4. Adding and subtracting rational numbers: world scenarios
    5. Apply multiplication and division rules
    6. Multiply and divide rational numbers
    7. Multiply and divide rational numbers: world scenarios
    8. Apply addition, subtraction, multiplication and division rules
    9. Evaluating numerical expressions involving rational numbers

Ratios, Proportions & Percents

  1. Ratios, rates and proportions

    1. Understanding ratios
    2. Identifying equivalent ratios
    3. Writing an equivalent ratio
    4. Equivalent ratios: world scenarios
    5. Unit rates
    6. Comparing ratios: world scenarios
    7. Solving proportions: world scenarios
    8. Check if ratios form a proportion?
    9. Check if ratios form a proportion: world scenarios
    10. Solving proportions
    11. Estimating population size using proportions
    12. Scale drawings: practice with world scenarios

  2. Proportional relationships

    1. Find the constant of proportionality from a table
    2. Writing equations for proportional relationships from tables
    3. Identifying proportional relationships by graphing
    4. Find the constant of proportionality from a graph
    5. Writing equations for proportional relationships from graphs
    6. Identifying proportional relationships
    7. Graph proportional relationships
    8. Interpreting graphs of proportional relationships
    9. Writing and solve equations for proportional relationships

  3. Percents

    1. Converting between percents, fractions and decimals
    2. Comparing percents to fractions and decimals
    3. Finding what percent one number is of another
    4. Finding what percent one number is of another: world scenarios
    5. Estimating percents of numbers
    6. Percents of numbers and money amounts
    7. Percents of numbers: world scenarios
    8. Comparing percents of numbers
    9. Solving percent equations
    10. Percent of change
    11. Percent of change: world scenarios

Measurements & Consumer Math

  1. Consumer maths

    1. Unit prices
    2. Unit prices: find the total price
    3. Price lists
    4. Percent of a number: GST, discounts, savings
    5. Discount and mark-up Percentage Calculation
    6. Find the original price of an item from sale price
    7. Multi-step problems with percentages
    8. Simple interest
    9. Compound interest

  2. Units of measurement

    1. Precision
    2. Converting rates and measurements: metric units
    3. Metric mixed units
    4. Convert between square metres and hectares
    5. Convert square and cubic units of length
    6. Convert between cubic metres and litres

Other Topics

  1. Problem solving

    1. Guess-and-check problems
    2. Multi step problems
    3. Good old Venn diagrams
    4. Elapsed time: real world scenarios

Geometry

  1. Coordinate plane

    1. Quadrants and axes
    2. Revisiting Coordinate plane
    3. Follow directions on a coordinate plane
    4. Distance between two points (Pythagoras' theorem)

  2. Two-dimensional figures

    1. Revisiting polygon classification
    2. Classifying triangles
    3. Identifying trapeziums
    4. Essential parts of a circle
    5. Classifying quadrilaterals
    6. Plot triangles and quadrilaterals
    7. Figuring missing angles in triangles and quadrilaterals
    8. Interior angles of polygons
    9. Identifying complementary, supplementary, vertical, congruent and adjacent angles
    10. Finding the measures of complementary, supplementary, adjacent and vertical angles
    11. Transversal of parallel lines
    12. Finding lengths and measures of bisected line segments and angles

  3. Transformations and congruence

    1. Revisit Symmetry
    2. Count lines of symmetry
    3. Draw lines of symmetry
    4. Identifying reflections, rotations and translations
    5. Translations: graph the image
    6. Find the coordinates of translated image
    7. Translations: write the rule
    8. Reflections: graph the image
    9. Find the coordinates of reflected image
    10. Rotations: graph the image
    11. Find the coordinates of rotated image
    12. Side lengths and angle measures of congruent figures
    13. Congruence statements and corresponding parts
    14. SSS, SAS and ASA theorems

  4. Similarity

    1. Similar and congruent figures
    2. Side lengths and angle measures of similar figures

  5. Dilations

    1. Dilations: graph the image
    2. Dilations: find the coordinates
    3. Finding scale factor and dialation classification

  6. Pythagoras' theorem

    1. Find the length of the hypotenuse
    2. Find the missing leg length
    3. Find the perimeter
    4. Pythagoras' theorem: real world scenarios
    5. Converse of Pythagoras' theorem: Is it a right triangle?

  7. Three-dimensional figures

    1. Similar solids
    2. Base plans
    3. Nets of three-dimensional figures
    4. Front, side and top view
    5. Parts of three-dimensional figures

  8. Geometric measurement

    1. Perimeter
    2. Area
    3. Area between two shapes
    4. Area and perimeter: world scenarios
    5. Circles: calculate area, circumference, radius and diameter
    6. Circles, semicircles and quarter circles
    7. Circles: world scenarios
    8. Volume of prisms
    9. Surface area of prisms
    10. Volume and surface area of similar solids
    11. Perimeter, area and volume: changes in scale

Algebra & Functions

  1. Number sequences

    1. Identifying arithmetic and geometric sequences
    2. Geometric sequences
    3. Arithmetic sequences
    4. Number sequences: world scenarios
    5. Number sequences: mixed problems
    6. Evaluating variable expressions for number sequences
    7. Writing variable expressions for arithmetic sequences

More Algebra & Functions

  1. Expressions and properties

    1. Writing variable expressions
    2. Writing variable expressions from model diagrams
    3. Writing variable expressions: world scenarios
    4. Evaluating one-variable expressions
    5. Evaluating multi-variable expressions
    6. Evaluating absolute value expressions
    7. Evaluating radical expressions
    8. Evaluating rational expressions
    9. Identifying terms and coefficients
    10. Sort factors of expressions (drag/drop)
    11. Properties of addition and multiplication
    12. Multiplying using the distributive property
    13. Simplifying variable expressions using properties
    14. Like terms: Addition and subtraction
    15. Add, subtract and multiply linear expressions
    16. Factors of linear expressions
    17. Identifying equivalent linear expressions

  2. One-variable equations

    1. Which value of x satisfies an equation?
    2. Writing an equation from words
    3. Model and solve equations using algebra tiles
    4. Writing and solve equations that represent diagrams
    5. Properties of equality
    6. Solve one-step equations
    7. Solve two-step equations
    8. Solve multi-step equations
    9. Solve equations involving like terms
    10. Solve equations with variables on both sides
    11. Solving algebraic equations: Practice qith mixed equations
    12. Complete the solution for an equation
    13. Solve equations: world scenarios

  3. One-variable inequalities

    1. Solutions to inequalities
    2. Writing inequalities from number lines
    3. Solve one-step linear inequalities
    4. Solve two-step linear inequalities
    5. Solve multi-step inequalities

  4. Linear functions

    1. Identifying functions
    2. Does (x, y) satisfy the linear function?
    3. Identifying independent and dependent variables
    4. Rate of change
    5. Constant rate of change
    6. Completing a table for a linear function
    7. Complete a table and then graph a linear function
    8. Graph a line from an equation
    9. Interpreting the graph of a linear function: world scenarios
    10. Writing a linear function from a table
    11. Writing linear functions: world scenarios

  5. Monomials and polynomials

    1. Identifying monomials
    2. Polynomial modelling with algebra tiles
    3. Adding and subtracting polynomials using algebra tiles
    4. Adding and subtracting polynomials
    5. Adding polynomials to find perimeter
    6. Multiplying monomials
    7. Dividing monomials
    8. Multiplication and division with monomials
    9. Polynomials multiplication using algebra tiles
    10. Multiplying polynomials
    11. Multiplying polynomials to find area
    12. HCF of monomials
    13. Factorizing out a monomial

Data & Statistics

  1. Data and graphs

    1. Interpreting tables
    2. Interpreting bar graphs
    3. Creating bar graphs
    4. Interpreting line graphs
    5. Creating line graphs
    6. Interpreting line plots
    7. Creating line plots
    8. Interpreting stem-and-leaf plots
    9. Interpreting histograms
    10. Creating histograms
    11. Creating frequency charts
    12. Interpreting box-and-whisker plots
    13. Scatter plots
    14. Interpreting circle graphs
    15. Circle graphs and central angles
    16. Choose the best type of graph

  2. Statistics

    1. Calculate mean, median, mode and range
    2. Interpreting charts to find mean, median, mode and range
    3. Mean, median, mode and range: find the missing number
    4. Changes in mean, median, mode and range
    5. Identifying representative, random and biased samples

  3. Probability

    1. Probability of simple events
    2. Probability of opposite, mutually exclusive and overlapping events
    3. Experimental probability
    4. Make predictions
    5. Compound events: find the number of outcomes
    6. Identifying independent and dependent events
    7. Counting principle

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