Mathematics – Australia – Australian Curriculum
Number and Algebra
Number and place value
ACMNA026 – Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences.
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7 learning outcomes – click to view
Samples: Adding on 10 using blocks. Subtracting 10 using blocks. Adding 10. Groups of 2. Groups of 5. Groups of 10. Groups of 3.
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Adding on 10 using blocks
- Activities: 2 course, 0 extra
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Subtracting 10 using blocks
- Activities: 1 course, 0 extra
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Adding 10 to two-digit numbers
- Activities: 6 course, 14 extra
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Groups of two
- Activities: 4 course, 7 extra
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Groups of five
- Activities: 5 course, 14 extra
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Groups of ten
- Activities: 6 course, 5 extra
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Number patterns and groups (of 3)
- Activities: 3 course, 1 extra
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7 learning outcomes – click to view
ACMNA027 – Recognise, model, represent and order numbers to at least 1000
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5 learning outcomes – click to view
Samples: Write numbers – to 1000. Reading numbers – to 1000. Comparing numbers – to 1000. Ordinal numbers.
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Writing numbers – to 1000
- Activities: 2 course, 2 extra
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Reading numbers – to 1000
- Activities: 1 course, 0 extra
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Comparing numbers – to 1000
- Activities: 1 course, 1 extra
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Ordinal numbers
- Activities: 5 course, 2 extra
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Writing numbers to 1000
- Activities: 1 course, 0 extra
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5 learning outcomes – click to view
ACMNA028 – Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
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13 learning outcomes – click to view
Samples: Expanded notation. Expanded notation (21-100 - identify the value of the 'ones').
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Expanded notation (11-30)
- Activities: 2 course, 0 extra
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Expanded notation (21-100 - identify the value of the 'ones')
- Activities: 1 course, 0 extra
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Expanded notation (21-100 - identify tens or ones)
- Activities: 1 course, 0 extra
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Numbers represented using MAB (up to 100)
- Activities: 3 course, 2 extra
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Counting in tens and ones
- Activities: 2 course, 2 extra
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Place value concepts (bundled sticks)
- Activities: 2 course, 1 extra
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Place value - hundreds, tens and ones
- Activities: 4 course, 2 extra
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Adding on 10 using blocks
- Activities: 2 course, 0 extra
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Adding multiples of 10 using blocks
- Activities: 2 course, 0 extra
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Subtracting 10 using blocks
- Activities: 1 course, 0 extra
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Subtracting multiples of 10 using blocks
- Activities: 1 course, 0 extra
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Expanded form - numbers to 1000
- Activities: 1 course, 0 extra
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Numbers written in expanded form
- Activities: 1 course, 0 extra
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13 learning outcomes – click to view
ACMNA029 – Explore the connection between addition and subtraction
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12 learning outcomes – click to view
Samples: Adding ones. Adding single digit numbers. Adding single digit numbers (problem solving). Adding 10. Make 10.
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Adding by counting
- Activities: 1 course, 1 extra
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Adding single-digit numbers - number skills
- Activities: 7 course, 17 extra
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Adding single-digit numbers- problem solving
- Activities: 4 course, 9 extra
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Adding 10 to two-digit numbers
- Activities: 6 course, 14 extra
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Make 10.
- Activities: 6 course, 4 extra
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Make 10 (problem solving)
- Activities: 2 course, 2 extra
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Single-digit addition (missing number)
- Activities: 5 course, 10 extra
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Show addition and subtraction visually
- Activities: 1 course, 0 extra
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Addition - missing numbers
- Activities: 1 course, 0 extra
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Subtracting single-digit numbers
- Activities: 4 course, 12 extra
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Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 7 extra
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Single digit subtraction (missing number)
- Activities: 3 course, 7 extra
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12 learning outcomes – click to view
ACMNA030 – Solve simple addition and subtraction problems using a range of efficient mental and written strategies
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8 learning outcomes – click to view
Samples: Adding 2 (problem solving). Add on to 5. Adding single digit numbers (problem solving). Make 10 (problem solving).
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Adding 2 - word problems
- Activities: 1 course, 0 extra
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Adding on to 5 (problem solving)
- Activities: 1 course, 0 extra
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Adding single-digit numbers- problem solving
- Activities: 4 course, 9 extra
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Make 10 (problem solving)
- Activities: 2 course, 2 extra
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Subtracting 2 (problem solving)
- Activities: 1 course, 0 extra
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Subtracting from 10 (problem solving)
- Activities: 2 course, 3 extra
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Subtracting single-digit numbers (problem solving)
- Activities: 4 course, 3 extra
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Subtracting single digits from up to 20 (problem solving)
- Activities: 2 course, 7 extra
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8 learning outcomes – click to view
ACMNA031 – Recognise and represent multiplication as repeated addition, groups and arrays
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11 learning outcomes – click to view
Samples: Groups of 2. Counting on number line (by 2's). Groups of 2. 2x Multiplication facts (times tables) - puzzle.
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Groups of two
- Activities: 4 course, 7 extra
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Counting on by two on a number line
- Activities: 7 course, 5 extra
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2x tables
- Activities: 12 course, 6 extra
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2x Multiplication facts (times tables) - puzzle
- Activities: 1 course, 0 extra
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Groups of five
- Activities: 5 course, 14 extra
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Counting on by five on a number line
- Activities: 6 course, 3 extra
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5x tables
- Activities: 9 course, 7 extra
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Counting on by ten on a number line
- Activities: 6 course, 5 extra
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Groups of ten
- Activities: 6 course, 5 extra
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10x tables
- Activities: 9 course, 6 extra
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Arrays
- Activities: 4 course, 0 extra
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11 learning outcomes – click to view
ACMNA032 – Recognise and represent division as grouping into equal sets and solve simple problems using these representations
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4 learning outcomes – click to view
Samples: Sharing equally. Dividing by 2. Dividing by 2 (problem solving). Using the division symbol. Share 12 equally.
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Sharing between 2
- Activities: 0 course, 5 extra
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Dividing by 2
- Activities: 4 course, 1 extra
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Dividing by 2 (problem solving)
- Activities: 2 course, 3 extra
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Using the division symbol
- Activities: 3 course, 0 extra
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4 learning outcomes – click to view
Fractions and decimals
ACMNA033 – Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
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3 learning outcomes – click to view
Samples: Introduction to Fractions. Quarters. Fractions of groups. Halves, thirds and quarters. Eighths.
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Halves, thirds and quarters
- Activities: 2 course, 1 extra
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Halves, quarters and eighths
- Activities: 7 course, 10 extra
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Dividing groups into halves and quarters
- Activities: 5 course, 5 extra
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3 learning outcomes – click to view
Money and financial mathematics
ACMNA034 – Count and order small collections of Australian coins and notes according to their value
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1 learning outcomes – click to view
Samples: Comparing and Counting Money. What's the Total Amount. AU Comparing & Counting Money (Coins).
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Comparing and counting coins
- Activities: 1 course, 2 extra
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1 learning outcomes – click to view
Patterns and algebra
ACMNA035 – Describe patterns with numbers and identify missing elements
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1 learning outcomes – click to view
Samples: Number Patterns (2,3,5,10). Missing elements in number patterns. Patterns Problem Solving. Patterns and algebra.
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Number Patterns (2,3,5,10)
- Activities: 2 course, 5 extra
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1 learning outcomes – click to view
ACMNA036 – Solve problems by using number sentences for addition or subtraction
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1 learning outcomes – click to view
Samples: Representing word problems as number sentences.
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Representing word problems as number sentences
- Activities: 1 course, 0 extra
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1 learning outcomes – click to view
Measurement and Geometry
Using units of measurement
ACMMG037 – Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units
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7 learning outcomes – click to view
Samples: Order or compare objects or shapes based on informal measurements. Compare length - graph.
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Order objects based on length.
- Activities: 1 course, 0 extra
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Compare length - Graph
- Activities: 1 course, 0 extra
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Comparing area
- Activities: 4 course, 4 extra
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Area using informal units.
- Activities: 2 course, 5 extra
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Objects using cubes
- Activities: 3 course, 5 extra
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Compare mass using balance scales
- Activities: 2 course, 0 extra
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Measure mass with informal units
- Activities: 6 course, 7 extra
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7 learning outcomes – click to view
ACMMG038 – Compare masses of objects using balance scales
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2 learning outcomes – click to view
Samples: Compare mass using balance scales. Measuring mass using informal units.
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Compare mass using balance scales
- Activities: 2 course, 0 extra
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Measure mass with informal units
- Activities: 6 course, 7 extra
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2 learning outcomes – click to view
ACMMG039 – Tell time to the quarter-hour, using the language of 'past' and 'to'
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1 learning outcomes – click to view
Samples: Telling the time on an analog clock - quarter to and past.
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Telling the time on an analog clock - quarter to and past
- Activities: 2 course, 9 extra
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1 learning outcomes – click to view
ACMMG040 – Name and order months and seasons
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1 learning outcomes – click to view
Samples: Months of the Year. Time. Time. Months of the year.
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Months of the Year
- Activities: 1 course, 3 extra
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1 learning outcomes – click to view
ACMMG041 – Use a calendar to identify the date and determine the number of days in each month
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1 learning outcomes – click to view
Samples: Reading a Calendar. Reading a Calendar. Reading a Calendar. Reading calendars: Activity 2. Time Problem Solving.
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Reading a Calendar
- Activities: 2 course, 5 extra
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1 learning outcomes – click to view
Shape
ACMMG042 – Describe and draw two-dimensional shapes, with and without digital technologies
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3 learning outcomes – click to view
Samples: Tessellating patterns. Quadrilaterals. Constructing 2D shapes. Tessellating patterns. Naming two-dimensional shapes.
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Identifying shapes based on attributes
- Activities: 4 course, 0 extra
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Identifying two-dimensional shapes
- Activities: 5 course, 0 extra
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Construct and draw two dimensional shapes
- Activities: 3 course, 3 extra
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3 learning outcomes – click to view
ACMMG043 – Describe the features of three-dimensional objects
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5 learning outcomes – click to view
Samples: Environmental objects. Predicting the movement of objects -roll/slide.
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Three-dimensional objects in the environment
- Activities: 4 course, 2 extra
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Classify and sort three-dimensional objects
- Activities: 3 course, 7 extra
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Composite objects
- Activities: 2 course, 0 extra
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Three-dimensional objects (top, side and front view)
- Activities: 1 course, 3 extra
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Describe the features of three-dimensional objects
- Activities: 4 course, 8 extra
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5 learning outcomes – click to view
Location and transformation
ACMMG044 – Interpret simple maps of familiar locations and identify the relative positions of key features
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1 learning outcomes – click to view
Samples: Interpret simple maps - the zoo. Simple maps. Interpret simple maps: Activity 1. Interpret simple maps: Activity 1.
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Interpret simple maps
- Activities: 2 course, 2 extra
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1 learning outcomes – click to view
ACMMG045 – Investigate the effect of one-step slides and flips with and without digital technologies
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1 learning outcomes – click to view
Samples: Flip, Slide or Turn.
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Identify image transformations - slide, flip or turn
- Activities: 0 course, 1 extra
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1 learning outcomes – click to view
ACMMG046 – Identify and describe half and quarter turns
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1 learning outcomes – click to view
Samples: Half and quarter turns. Half or Quarter turns. Half and quarter turns: Activity 1.
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Identify and describe half and quarter turns
- Activities: 2 course, 2 extra
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1 learning outcomes – click to view
Statistics and Probability
Chance
ACMSP047 – Identify practical activities and everyday events that involve chance. Describe outcomes as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible'
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1 learning outcomes – click to view
Samples: Describe outcomes as 'likely' or 'unlikely' - 'certain' or 'impossible'. Chance. Chance.
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Describe outcomes as 'likely' or 'unlikely' - 'certain' or 'impossible'.
- Activities: 2 course, 2 extra
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1 learning outcomes – click to view
Data representation and interpretation
ACMSP048 – Identify a question of interest based on one categorical variable. Gather data relevant to the question
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1 learning outcomes – click to view
Samples: Using simple questions to gather data. Using simple questions to gather data.
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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1 learning outcomes – click to view
ACMSP049 – Collect, check and classify data
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4 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Data tables. Data - tally marks.
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
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Interpret data presented in a table
- Activities: 3 course, 3 extra
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Interpret data presented with tally marks
- Activities: 2 course, 2 extra
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4 learning outcomes – click to view
ACMSP050 – Create displays of data using lists, table and picture graphs and interpret them
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4 learning outcomes – click to view
Samples: Using simple questions to gather data. Interpret data as drawings. Data tables. Data - tally marks.
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Choose simple questions to gather responses
- Activities: 2 course, 0 extra
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Interpret data presented using drawings and symbols
- Activities: 2 course, 2 extra
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Interpret data presented in a table
- Activities: 3 course, 3 extra
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Interpret data presented with tally marks
- Activities: 2 course, 2 extra
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4 learning outcomes – click to view