Year 6 Maths Skills () « All Years

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Numbers
Addition & Subtraction
Multiplication & Division
Fractions & Decimals
Algebra & Ratios
Geometry
Measurements & Money
Data & Statistics
Other Topics
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Working with numbers

  1. Whole numbers: taking a step back

    1. Roman numerals
    2. Word names for numbers
    3. Place values in whole numbers

  2. Multiplication

    1. Multiplying whole numbers
    2. Multiplying whole numbers: real world problems
    3. Multiplying numbers ending in zeroes
    4. Multiplying numbers that end with zeroes: real world problems
    5. Multiplying three or more numbers
    6. Multiplying three or more numbers: real world problems
    7. Estimating products
    8. Properties of multiplication
    9. Utilize properties of multiplication to solve times problems

  3. Division

    1. Divisibility rules
    2. Dividing by two digit numbers
    3. Dividing by two-digit numbers: real world problems
    4. Estimating quotients
    5. Division patterns with zeroes
    6. Dividing numbers ending in zeroes: real world problems

  4. Introduction to Exponents

    1. Writing multiplication expressions using exponents
    2. Evaluating exponents
    3. Find the missing exponent or base in an equation

  5. The properties and relationships of numbers

    1. Prime or composite
    2. Identifying factors
    3. Prime factorisation of a number
    4. Prime factorisation of a number with exponents
    5. Highest common factor (HCF)
    6. Lowest common multiple (LCM)
    7. HCF and LCM: real world problems

  6. Mastering Decimals

    1. What decimal number does the figure represent?
    2. Place values in decimal numbers
    3. Word names for decimal numbers
    4. Converting decimals to mixed numbers
    5. Putting decimal numbers in order
    6. Inequalities with decimals
    7. Rounding decimals
    8. Find the missing digit (rounding whole numbers and decimals)
    9. Decimal numbers on number lines

Add, subtract, multiply, divide & more

  1. Addition and subtraction

    1. Adding and subtracting whole numbers
    2. Adding and subtracting whole numbers: real world problems
    3. Properties of addition
    4. Estimating sums and differences of whole numbers
    5. Estimating sums and differences: real world problems
    6. Adding and subtracting decimal numbers
    7. Adding and subtracting decimals: real world problems
    8. Estimating sums and differences of decimals
    9. Map routes with decimal distances

Multiplication & Division Operations

  1. Multiplication and decimal division

    1. Multiplying a decimal by a single digit whole number
    2. Multiplying a decimal by a multi digit whole number
    3. Multiplying decimals and whole numbers: real world problems
    4. Estimating products of decimal numbers
    5. Inequalities with decimal multiplication
    6. Dividing decimals by whole numbers
    7. Dividing decimals by whole numbers: real world problems
    8. Multiplying and dividing decimals by the powers of ten

Fractions & Decimals

  1. All about Fractions and mixed numbers

    1. Fractions and mixed numbers on numbers line
    2. Understanding fractions: real world problems
    3. Equivalent fractions
    4. Simplify fractions to thew lowest terms
    5. Fractions: real world problems
    6. Lowest common denominator (LCD)
    7. Comparing fractions with like and unlike denominators
    8. Comparing fractions: real world problems
    9. Converting between improper fractions and mixed numbers
    10. Converting between decimals and fractions or mixed numbers
    11. Putting decimals, fractions and mixed numbers in order

  2. Adding and subtracting fractions

    1. Adding and subtracting fractions with like denominators
    2. Adding and subtracting fractions with like denominators: real world problems
    3. Inequalities with addition and subtraction of like fractions
    4. Adding fractions with unlike denominators
    5. Subtracting fractions with unlike denominators
    6. Adding and subtracting fractions with unlike denominators: real world problems
    7. Adding and subtracting mixed numbers with like denominators
    8. Adding and subtracting mixed numbers with like denominators: real world problems
    9. Estimating sums and differences of the mixed numbers

  3. Multiplying fractions

    1. Multiplying unit fractions by whole numbers using number lines
    2. Multiplying of fractions
    3. Multiplying fractions by whole numbers using number lines
    4. Multiplying whole number to a fraction
    5. Multiplying fraction to a whole number
    6. Fractions of a number: real world problems
    7. Estimating products of fractions and whole numbers
    8. Multiplying fractions by whole numbers: input/output tables
    9. Multiplying whole numbers with mixed numbers

  4. Introduction to Integers

    1. Understanding integers (positive and negative numbers)
    2. Integers on number lines
    3. Plot integers on horizontal and vertical number lines
    4. Comparing integers
    5. Putting integers in order

  5. Mixed of addition, subtraction, multiplication and division

    1. Adding, subtracting, multiplying or dividing two whole numbers
    2. Adding, subtracting, multiplying or dividing two whole numbers: real world problems
    3. Evaluating numerical expressions
    4. Adding, subtracting, multiplying or dividing two decimals
    5. Adding, subtracting, multiplying or dividing two decimals: real world problems
    6. Adding, subtracting, multiplying two fractions
    7. Adding, subtracting, multiplying two fractions: real world problems

  6. Rational numbers

    1. Comparing rational numbers
    2. Putting rational numbers in order

  7. Problem solving and estimation

    1. Estimating to solve real world problems
    2. Multiple steps with extra or missing information
    3. Guess and check: real world problems
    4. Navigate using compass, Distance/direction to starting point
    5. Use logical reasoning to find the order

Working with ratios, percents, algebra, geometry & more

  1. Ratios and rates

    1. Writing a ratio
    2. Writing a ratio: real world problems
    3. Identifying equivalent ratios
    4. Writing an equivalent ratio
    5. Ratio tables
    6. Unit rates and equivalent rates
    7. Compare ratios: real world problems
    8. Do the ratios form a proportion?
    9. Solving the proportion
    10. Scaled drawings: real world problems

  2. Percents

    1. What percentage is show in the figure?
    2. Converting between percents, fractions and decimals
    3. Comparing percents to each other and to fractions
    4. Comparing percents and fractions: real world problems
    5. Percents of numbers and money amounts
    6. Percents of numbers: real world problems
    7. Finding what percent one number is of another
    8. Finding what percent one number is of another: real world problems

Measurements, Money & Time

  1. Units of measurement

    1. Estimating metric measurements
    2. Converting and comparing metric units
    3. Metric mixed units
    4. Converting square and cubic units of length
    5. Converting between cubic metres and litres
    6. Converting between square metres and hectares
    7. Comparing temperatures above and below zero

  2. Money

    1. Adding and subtracting money amounts
    2. Adding and subtracting money amounts: real world problems
    3. Finding the number of each type of coin
    4. Multiplying money by whole numbers
    5. Multiplying money: real world problems
    6. Dividing money amounts to find the unit cost
    7. Dividing money amounts to find the unit cost: real world problems

  3. Time

    1. Time units
    2. Elapsed time
    3. Time conversion between 12-hour and 24-hour time formats
    4. Finding start and end times
    5. Transportation schedules

  4. Coordinate plane

    1. Objects on a coordinate plane - first quadrant only
    2. Objects on a coordinate plane - all four quadrants
    3. Plot on coordinate plane
    4. Understanding Quadrants
    5. Coordinate planes as maps
    6. Follow directions on a coordinate plane

  5. Consumer maths

    1. Unit prices of items
    2. Sale prices
    3. Which coupon will save you more?
    4. Unit prices with fractions and decimals
    5. Tips, mark-up etc percentages
    6. Calculating GST (random percentages)
    7. Simple interest calculation

Other Mathematical Topics

  1. Number sequences

    1. Use a rule to complete a number sequence
    2. Number sequences: real world problems
    3. Complete an increasing number sequence
    4. Complete a geometric number sequence
    5. Revisiting addition, multiplication and subtraction sequences

  2. Expressions and properties

    1. Write variable expressions
    2. Write variable expressions: real world problems
    3. Evaluate variable expressions with whole numbers
    4. Evaluate multi-variable expressions
    5. Evaluating variable expressions (algebra) with decimals
    6. Identifying terms and coefficients
    7. Sorting factors of expressions
    8. Identifying equivalent expressions

  3. One-variable equations

    1. Which substitution satisfies an equation?
    2. Write an equation from words
    3. Model and solve equations using algebra tiles
    4. Write and solve equations that represent diagrams
    5. Sovle one-step equations with whole numbers
    6. Solve one-step equations with decimals
    7. Solve one-step equations: real world problems

  4. Two-variable equations

    1. Does (x, y) satisfy the equation?
    2. Solving real world problems involving two-variable equations
    3. Which is independent and and which is dependent variable
    4. Completing a table for a two variable relationship
    5. Writing a two-variable equation
    6. Identifying the graph for an equation

Geometry & Shapes

  1. Two-dimensional figures

    1. Identifying polygons
    2. Measure and classification of angles
    3. Estimating angle measurements within specific degrees
    4. Classifying triangles
    5. Identifying trapeziums
    6. Classifying quadrilaterals
    7. Plot triangles on coordinate plane
    8. Finding missing angles in triangles
    9. Finding missing angles in polygons
    10. Naming the angles
    11. Complementary and supplementary angles
    12. Mastering transversal and angle types: parallel lines
    13. Identify parts of a circle

  2. Symmetry and transformations

    1. Symmetry
    2. Reflection, rotation and translation
    3. Translations: graph the image
    4. Reflections: graph the image
    5. Rotations: graph the image
    6. Similar and congruent figures
    7. Find side lengths of similar figures

  3. Three-dimensional figures

    1. Identifying polyhedras
    2. Guess the figure being described?
    3. Nets of 3D shapes
    4. Front, back, side and top views of 3D objects

  4. Geometric measurement

    1. Perimeter calculation of shapes
    2. Area of squares and rectangles
    3. Area of triangles
    4. Area of composite figures
    5. Area between two rectangles
    6. Area and perimeter of shaded region of the grid
    7. Area and perimeter: real world problems
    8. Relationship between perimeter and area in Rectangles
    9. Comparing area and perimeter of two figures

Data, Statistics & Probability

  1. Data and graphs

    1. Interpreting line graphs
    2. Creating line graphs
    3. Interpreting double line graphs
    4. Creating double line graphs
    5. Interpreting bar graphs
    6. Creating bar graphs
    7. Interpreting pictographs
    8. Creating pictographs
    9. Interpreting histograms
    10. Creating histograms
    11. Interpreting line plots
    12. Creating line plots
    13. Creating frequency tables
    14. Stem-and-leaf plots
    15. Choosing the best type of graph
    16. Circle chart with fractions
    17. Interpreting double bar graphs
    18. Creating double bar graphs

  2. Statistics

    1. Calculate mean, median, mode and range
    2. Interpret charts to find mean, median, mode and range
    3. Mean, median, mode: find the missing number

  3. Probability

    1. Combinations
    2. Probability of one event
    3. Make predictions
    4. Experimental probability
    5. Probability of opposite, mutually exclusive and overlapping events
    6. Compound events - find the number of outcomes by counting
    7. Identify independent and dependent events

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