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AlamandaMaths
"Daring to be Wise"
  • Alamanda Maths Home
  • Prep Numeracy Development Continuum
    • Place Value Level 1 and 2
      • Read and Record Some Single Digit Numbers (1)
      • Recognise models of numbers 0-10 (1)
      • Read, Record, Interpret and Order Single Digit Numbers (1)
      • Read, Record, Interpret and Order Two-Digit Numbers (2)
      • Read, Record, Interpret and Order Three-Digit Numbers (2)
    • Counting, Pattern and Order 1 and 2
      • Know Number Names (1)
      • Rote Count the Number Sequence to 10 (1)
      • Recognise Simple Patterns (1)
      • Copy, Continue and Create Simple Patterns Involving Number (1)
      • Place objects in order 1st to 5th (1)
      • Count a Collection of around 10 objects (1).
      • Know numbers before and after a given number to 10 (1)
      • Rote Count the Number Sequence to at Least 20 (1)
      • Count a collection of around 20 objects. (1)
      • Count by ones forwards / backwards from various starting points between 1 and 100. (1)
      • Know numbers before and after a given number up to 100 (1)
      • Identify and continue patterns (2)
      • Count from 0 by 2’s, 5’s and 10’s to a given target (2)
      • Count from any two-digit number by 10s
    • Addition and Subtraction 1 and 2
      • Conserve Numbers (1)
      • Comparing two Small Collections (1)
      • Count all to Find the Total of Two Collections (1)
      • Count on From one Number to Find the Total of Two Collections (2)
      • Choose Appropriately from Strategies in Subtraction Situations (2)
      • Add and Subtract Single Digit Numbers Using Basic Number Facts and Strategies (2)
      • Using Addition and Subtraction Strategies to Solve Problems (2)
    • Shape 1 and 2
      • Sort Simple Shapes (1)
      • Recognise Resemblances and Match Some Simple Shapes (1)
      • Sort and Compare Circles, Triangles and Rectangles (1)
      • Produce Representations of Simple Shapes (1)
      • Understands Large Environments Can be Represented as Small Models. (1)
      • Sort and Compare Shapes Using Some Geometrical Language to Describe Their Features (1)
      • Recognise Static Images in Embedded Situation (1)
      • Produce Representations of Simple Shapes (2)
      • Use Properties of Shapes to Classify Shapes into Classes Using Appropriate Language (2)
    • Measurement 1 and 2
      • Length 1 and 2
        • Have Awareness of the Attribute of Length and its Descriptive Language (1)
        • Compare, Order and Match Objects by Length (1)
        • Use Informal Units to Measure Length (2)
        • Use Uniform Units Appropriately to Quantify Length, Assigning Number and Unit to the Measure (2)
        • Using Formal Units to Measure Length (2)
      • Mass 1 and 2
        • Have Awareness of the Attribute of Mass and its Descriptive Language (1)
        • Compare, Order and Match Objects by Mass (1)
        • Use Informal Units to Measure Mass (2)
        • Use Uniform Units to Appropriately Quantify Mass (2)
      • Volume and Capacity 1 and 2
        • Have and Awareness of the Attributes of Capacity and its Descriptive Language (1)
        • Compare, Order and Match Objects by Capacity (1)
        • Use Informal Units to Measure Capacity (2)
        • Use Uniform Units Appropriately to Quantify Capacity (2)
      • Time 1 and 2
        • Is Aware of the Attribute of Time and can use its Descriptive Language (1)
        • Clock Times, Days of the Week and Months and Key Events (1)
        • Describe the Features and Purpose of Clock Faces (1)
        • Know Clock Times of the Hour (2)
        • Know Clock Times to Half-Hour, Days of the Week and Months of the Year (2)
    • Location and Transformation 1 and 2
      • Understand Some Simple Everyday Location Words (1)
      • Uses Everyday Location Words to Describe Positions (2)
    • Data 1 and 2
      • Has Awareness of the Visual Nature of Information in a Pictograph (1)
      • Can Make and Respond to Information in a Simple Pictograph
      • Can Make and Respond to Information in a Pictograph, Bar or Column Graph (2)
      • Read, Make and Interpret Simple Graphs (2)
  • Numeracy Domains
    • Algebra
      • Concept of Variables (7)
      • Creating Algebraic Expressions (7)
      • Evaluating Algebraic Expressions (7)
      • Simplifying Algebraic Expressions (8)
      • Distributive Laws to Expansion of Algebraic Expressions (8)
      • Factorising Algebraic Expressions (8)
      • Index Laws With Numerical/Algebraic Expressions (9)
      • Distributive Law to Expand Expressions Including Binomials and Collect Like Terms (9)
      • Factorising Algebraic Expressions By Taking out Common Algebraic Factors (10)
      • Simplify Algebraic Products and Quotients Using index Laws (10)
      • Apply the Four Operations to Simple Algebraic Fractions with Numerical Denominators (10)
      • Factorising Monic Quadratic Expressions (10)
      • Rearranging Formulas to Solve for a Particular Term (10)
      • Polynomials (10A)
      • Factor and Remainder Theorems (10A)
    • Angles
      • Angles Basics (3)
      • Comparing Angles to Right Angles (4)
      • Estimate Measure and Compare Angles Using Degrees (5)
      • Angles on a Straight Line (6)
      • Angles On a Point (6)
      • Vertically Opposite Angles (6)
      • Classifying Triangles and Describing Quadrilaterals (7)
      • Angle Sum of a Triangle (7)
      • Parallel Lines (7)
      • Corresponding, Alternate and Co-Interior Angles (7)
    • Area and Perimeter
      • Calculate the Perimeter and Area of Rectangles (5)
      • Volume and Capacity (6)
      • Formulas for the Area of Rectangles Triangles and Parallelograms (7)
      • Volume of Rectangular Prisms (7)
      • Formulas for the Perimeter and Area of Parallelograms Trapeziums Rhombuses and kites (8)
      • Features Of Circles – Area and Circumference (8)
      • Calculating the Area of Composite Shapes (9)
      • Surface Area and Volume of Cylinders (9)
      • Surface Area and Volume of Right Prisms (9)
      • Surface Area and Volume of Right Pyramids (Year 10A)
      • Surface Area and Volume of Spheres (Year 10A)
      • Surface Area and Volume of Cones (Year 10A)
    • Cartesian Planes
      • Intro to Cartesian Planes (6)
      • Finding Coordinates On a Cartesian Plane (7)
    • Chance
      • Everyday Events Involving Chance (2)
      • Conducting Chance Experiments (3)
      • Describing Possible Everyday Events and Order Their Chances of Occurring (4)
      • Identify Everyday Events Where One Cannot Happen if the Other Happens (4)
      • Describing Probabilities and Equally Likely Outcomes (5)
      • Describing Probabilities Using Fractions, Decimals and Percentages (6)
      • Comparing Observed Frequencies With Expected Frequencies (6)
      • Single Step Chance Experiments (7)
      • Complementary Events and Sum of Probabilities (8)
      • Venn Diagrams and Two Way Tables (8)
      • Two Step Chance Experiments (9)
      • Relative Frequency (9)
      • Two/Three-step Chance Experiments and Independence (10)
      • Permutations and Combinations (VCE)
    • Data
      • Surveying for Data then Interpret and Compare Data Displays (2/3)
      • Constructing Data Displays (4)
      • Constructing Data Displays and Dot Plots (5)
      • Numerical and Categorical Data (5)
      • Interpret and Compare Data Displays (6)
      • Interpret Secondary Data (6)
      • Identify and Investigate Issues with Numerical Data (7)
      • Constructing Surveys (7)
      • Stem and leaf Plots and Dot Plots (7)
      • Calculating Mean, Median Mode and Range for a set of data (7)
      • Calculating Mean, Median, Mode and Range from a Frequency Table (7)
      • Describing and Interpreting Data Displays using Median, Mean and Range (7)
      • Census Sampling and Observation (8)
      • Data Through Sampling (8)
      • Outliers (8)
      • Back to Back Stem and Leaf Plots/Describing Histograms (9)
      • Compare Data Displays Using Mean, Median and Range to Describe and Interpret Numerical Data Sets in Terms of Location (centre) and Spread (9)
      • Quartiles/IQR/Box and Whisker Plots (10)
      • Scatter Plots (10)
      • Calculating Standard Deviation (10A)
      • Calculating Z-Scores (VCE)
      • Calculating Pearson’s Correlation (VCE)
    • Decimals
      • Decimals Into Tenths and Hundredths (4)
      • Decimals Beyond Hundredths (5)
      • Compare Order and Represent Decimals (5)
      • Adding and Subtracting Decimal Numbers (6)
      • Multiplying Decimal Numbers (6)
      • Dividing Decimal Numbers (6)
      • Multiply and Divide Decimals by 10 (6)
      • Rounding Decimal Numbers (7)
      • Dividing Decimal Numbers by Other Decimal Numbers (7)
      • Recurring Decimals (8)
      • Irrational Numbers (8)
    • Fractions
      • Common Uses of Halves Quarters and Eighths of Shapes (2)
      • Model and Represent 1/2,1/3,1/4 and 1/5 (3).
      • Count by Quarters Halves and Thirds (4)
      • Investigating Equivalent Fractions In Context (4)
      • Compare and Order Common Unit Fractions on a Number Line (5/6)
      • Adding/subtracting Fractions with Same/Related Denominators (5)
      • Adding/Subtracting Fractions with Same/Related Denominators (6)
      • Finding Fractions of a Quantity (7)
      • Comparing Fractions Using Equivalence (7)
      • Multiplying/Dividing Fractions with Different/Unrelated Denominators (7)
      • Adding/Subtracting Fractions with Different/Unrelated Denominators (7)
      • Connecting Equivalent Fractions Decimals and Percentages and carry out simple conversions (7)
      • 4 Operations with Simple Algebraic Fractions with Numerical Denominators (10)
      • Solving Simple Problems Involving Inverse Proportions (Year 10)
      • Operations with Rational and Irrational Numbers with Fractional Indices (10A)
    • Geometric Reasoning
      • Conditions for Congruence of Triangles (8)
      • Congruence of Plane Shapes using Transformation (8)
      • Properties of Quadrilaterals using Congruent Triangles (8)
      • Enlargement Transformation and Similiarity (9)
      • Ratio and Scale Factors (9)
      • Geometric Proofs (10)
      • Circle Theorems (10A)
    • Integers
      • Everyday Situations With Integers (6)
      • Comparing and Ordering Integers (7)
      • Subtracting Integers (7)
      • Multiplying Integers (8)
      • Dividing Integers (8)
      • Order of Operations with Integers (8)
    • Linear Equations
      • Solve Simple Linear Equations (8)
      • Graphing Linear Equations (8)
      • Calculating Distance Between 2 Points (9)
      • Finding the Mid Point and Gradient Between two Points (9)
      • Graphing Simple Non-Linear Relationships (9)
      • Gradients of Parallel and Perpendicular Lines (10)
      • Solving Linear Equations Involving Simple Algebraic Fractions (10)
      • Solve and Graph Simple Linear Inequalties (10)
      • Simultaneous Equations (10)
    • Location
      • Interpret Simple Maps (2)
      • Creating Grid Maps (3)
      • Use Simple Scales Legends and Directions to Interpret information on Maps (4)
      • Use a Grid Reference System and Directional Language to Describe Locations (5)
    • Measurement
      • Compare and order shapes and objects (2)
      • Measure Compare and Order Shapes and Objects Using Familiar Units (3)
      • Using Scaled Instruments to Measure and Compare Lengths Masses capacities and Temperatures (4)
      • Converting Units of Measurement (6)
    • Money
      • Australian Coins and Notes (2)
      • Representing Money (3)
      • Solving Money Problems and Rounding to Nearest 5 Cents (4)
      • Investigate and Calculate Percentage Discounts of 10, 25 and 50 on Sale Items (6)
      • Investigate and Calculate Best Buys (7)
      • Solve Problems Involving Profit and Loss (8)
      • Solve Problems Involving Simple Interest (9)
      • Solve Problems Involving Compound Interest (10)
      • Solving Problems Involving Compound Interest Non-Annual Compounding (VCE Unit 1)
    • Numbers 2-6
      • Number
        • Number Sequences by 2s,3s,5s,and 10s (2)
        • Odd and Even Numbers (3)
        • Odd and Even Numbers (4)
        • Rounding Numbers (5)
        • Prime, Composite, Square and Triangle Numbers (6)
        • Solving Problems With the 4 Operations With Whole Numbers (6)
        • Order of Operations (6)
      • Place Value
        • Place Value up to 1000 (2)
        • Place Value up to 10000 (3/4)
        • Partitioning Rearranging and Regrouping Numbers up to 10,000 (3/4)
      • Adding and Subtracting
        • Connection between Addition and Subtraction (2/3)
        • Addition and Subtraction Facts (3)
      • Multiplication
        • Multiplication is Repeated Addition (2)
        • Recall Multiplication Facts of 2,3,5 and10 (3)
        • Multiplication Facts up to 10 X 10 (4)
        • Multiplying Large Numbers (5)
        • Factors and Multiples (5)
      • Division
        • Division as Grouping (2)
        • Division by One Digit Number Including Remainders (5)
    • Numbers 5-10A
      • Number and Place Value
        • Rounding Numbers (5)
        • Prime Composite Square and Triangle Numbers (6)
        • Order of Operations (6)
        • Associative Commutative and Distributive Laws (7)
        • Perfect Squares and Square Roots (7)
        • Index Notation and Prime Factorization (8)
        • Index Laws With Numerical/Algebraic Expressions (9)
        • Scientific Notation (9)
        • Surds (10A)
        • Logarithms (10A)
      • Multiplication
        • Factors and Multiples (5)
        • Multiplying Large Numbers (5)
      • Division
        • Division by One Digit Number Including Remainders (5)
    • Percentages
      • Connecting Equivalent Fractions Decimals and Percentages (6)
      • Simple Conversions of Fractions Decimals and Percentages (7)
      • Find Percentages of Quantities (7)
      • Express one Quantity as a Percentage of Another (8)
      • Solve Problems Involving the use of Percentages, Including Percentage Increases and Decreases (8)
      • Calculating Percentage Error (8)
    • Pythagoras and Trigonometry
      • Pythagoras Theorem (9)
      • Sine Cosine and Tangent Ratios (9)
      • Angles of Elevation and Depression (10)
      • Sine and Cosine Law (10A)
      • Heron’s Formula (10A)
    • Shape
      • Describe and Draw 2-D Shapes (2)
      • Features of 3-D Objects (2)
      • Make Models of 3-D Objects (3)
      • Compare and Describe 2-D Shapes (4)
      • Symmetrical Patterns Pictures and Shapes(4)
      • Connect 3-D Objects with Their Nets (5)
      • Prisms and Pyramids (6)
      • Draw Different Views of Prisms and Solids Formed from Combinations of Prisms (7)
    • Time
      • Describing Time Using Quarter Past and Quarter to (2)
      • Name and Order Months and Seasons (2)
      • Using a Calendar (2)
      • Telling Time to the Minute (3)
      • Converting Between Units of Time (4)
      • Use AM and PM Notation and Solve Simple Time Problems (4)
      • Compare 12 and 24 Hour Time Systems and Convert Between Them (5)
      • Interpret and Use Timetables (6)
      • Measure, Calculate and Compare Elapsed Time (6)
      • Time Zones (8)
    • Transformation
      • Flip Slide and Turns (2)
      • Symmetry in the Environment (3)
      • Creating Symmetrical Patterns, Pictures and Shapes (4)
      • Describe translations Reflections and Rotations of 2-D Shapes (5)
      • Line and Rotational Symmetry (5)
      • Enlargement Transformation (5)
      • Describe Translations Reflections and Rotations of 2-D Shapes on the Cartesian Plane (7)
  • Assessment Tasks
  • Year Level Descriptors (Victorian Curriculum)
  • Continuums

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  • Calculating Mean, Median, Mode and Range from a Frequency Table (7)
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  • Perfect Squares and Square Roots.
  • Solving Money Problems and Rounding to Nearest 5 Cents (4)
  • Time Zones (8)
  • Prime, Composite, Square and Triangle Numbers (6)
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