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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
Domains
Alamanda Maths Home
Prep Numeracy Development Continuum
Numeracy Domains
Assessment Tasks
Year Level Descriptors (Victorian Curriculum)
Continuums
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