Author: alexus

Number and Algebra

Number and place value

Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero (ACMNA012 – Scootle )

Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line (ACMNA013 – Scootle )

Count collections to 100 by partitioning numbers using place value (ACMNA014 – Scootle )

Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015 – Scootle )

Fractions and decimals

Recognise and describe one-half as one of two equal parts of a whole. (ACMNA016 – Scootle )

Patterns and algebra

Investigate and describe number patterns formed by skip-counting and patterns with objects (ACMNA018 – Scootle )

Measurement and Geometry

Using units of measurement

Measure and compare the lengths and capacities of pairs of objects using uniform informal units (ACMMG019 – Scootle )

Tell time to the half-hour (ACMMG020 – Scootle )

Describe duration using months, weeks, days and hours (ACMMG021 – Scootle )

Shape

Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features (ACMMG022 – Scootle )

Location and transformation

Give and follow directions to familiar locations (ACMMG023 – Scootle )

Statistics and Probability

Chance

Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’ (ACMSP024 – Scootle )

Data representation and interpretation

Choose simple questions and gather responses and make simple inferences (ACMSP262 – Scootle )

Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays (ACMSP263 – Scootle )

Number and Algebra

Number and place value

Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098 – Scootle )

• exploring factors and multiples using number sequences
• using simple divisibility tests

Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099 – Scootle )

• recognising the usefulness of estimation to check calculations
• applying mental strategies to estimate the result of calculations, such as estimating the cost of a supermarket trolley load

Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100 – Scootle )

• exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers
• applying the distributive law and using arrays to model multiplication and explain calculation strategies

Solve problems involving division by a one digit number, including those that result in a remainder (ACMNA101 – Scootle )

• using the fact that equivalent division calculations result if both numbers are divided by the same factor
• interpreting and representing the remainder in division calculations sensibly for the context

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291 – Scootle )

Fractions and decimals

Compare and order common unit fractions and locate and represent them on a number line (ACMNA102 – Scootle )

• recognising the connection between the order of unit fractions and their denominators

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103 – Scootle )

• modelling and solving addition and subtraction problems involving fractions by using jumps on a number line, or making diagrams of fractions as parts of shapes

Recognise that the place value system can be extended beyond hundredths (ACMNA104 – Scootle )

• using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
• recognising the equivalence of one thousandths and 0.001

Compare, order and represent decimals (ACMNA105 – Scootle )

Money and financial mathematics

Create simple financial plans (ACMNA106 – Scootle )

• creating a simple budget for a class fundraising event
• identifying the GST component of invoices and receipts

 

Patterns and algebra

Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107 – Scootle )

• using the number line or diagrams to create patterns involving fractions or decimals

Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division (ACMNA121 – Scootle )

Measurement and Geometry

Using units of measurement

Choose appropriate units of measurement for length, area, volume, capacity and mass (ACMMG108 – Scootle )

• recognising that some units of measurement are better suited for some tasks than others, for example kilometres rather than metres to measure the distance between two towns
• investigating alternative measures of scale to demonstrate that these vary between countries and change over time, for example temperature measurement in Australia, Indonesia, Japan and USA

Calculate perimeter and area of rectangles using familiar metric units (ACMMG109 – Scootle )

• exploring efficient ways of calculating the perimeters of rectangles such as adding the length and width together and doubling the result
• exploring efficient ways of finding the areas of rectangles

Compare 12- and 24-hour time systems and convert between them (ACMMG110 – Scootle )

• investigating the ways time was and is measured in different Aboriginal Country, such as using tidal change
• using units hours, minutes and seconds

 

Shape

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111 – Scootle )

• identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
• representing two-dimensional shapes such as photographs, sketches and images created by digital technologies

 

Location and transformation

Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113 – Scootle )

• comparing aerial views of Country, desert paintings and maps with grid references
• creating a grid reference system for the classroom and using it to locate objects and describe routes from one object to another

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114 – Scootle )

• identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
• identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies

Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original (ACMMG115 – Scootle )

• using digital technologies to enlarge shapes
• using a grid system to enlarge a favourite image or cartoon

 

Geometric reasoning

Estimate, measure and compare angles using degrees. Construct angles using a protractor (ACMMG112 – Scootle )

• measuring and constructing angles using both 180° and 360° protractors
• recognising that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other

 

Statistics and Probability

Chance

List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116 – Scootle )

• commenting on the likelihood of winning simple games of chance by considering the number of possible outcomes and the consequent chance of winning in simple games of chance such as jan-ken-pon (rock-paper-scissors)

Recognise that probabilities range from 0 to 1 (ACMSP117 – Scootle )

Data representation and interpretation

Pose questions and collect categorical or numerical data by observation or survey (ACMSP118 – Scootle )

Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (ACMSP119 – Scootle )

Describe and interpret different data sets in context (ACMSP120 – Scootle )

Number and place value

Investigate and use the properties of odd and even numbers (ACMNA071 – Scootle )

• Using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations

Recognise, represent and order numbers to at least tens of thousands (ACMNA072 – Scootle )

• Reproducing five-digit numbers in words using their numerical representations, and vice versa

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073 – Scootle )

• Recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074 – Scootle )

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075 – Scootle )

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076 – Scootle )

• Using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder

Fractions and decimals

Investigate equivalent fractions used in contexts (ACMNA077 – Scootle )

• Exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078 – Scootle )

• Converting mixed numbers to improper fractions and vice versa
• Investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations

 

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079 – Scootle )

• Using division by 10 to extend the place-value system
• Using knowledge of fractions to establish equivalences between fractions and decimal notation

 

Money and financial mathematics

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080 – Scootle )

• Recognising that not all countries use dollars and cents, eg India uses rupees.
• Carrying out calculations in another currency as well as in dollars and cents, and identifying both as decimal systems

 

Patterns and algebra

Explore and describe number patterns resulting from performing multiplication (ACMNA081 – Scootle )

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082 – Scootle )

• Representing a word problem as a number sentence
• Writing a word problem using a given number sentence

 

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083 – Scootle )

• Writing number sentences to represent and answer questions such as: ‘When a number is added to 23 the answer is the same as 57 minus 19. What is the number?’
• Using partitioning to find unknown quantities in number sentences

 

Measurement and Geometry

Using units of measurement

Use scaled instruments to measure and compare lengths, masses, capacities and temperatures (ACMMG084 – Scootle )

Compare objects using familiar metric units of area and volume (ACMMG290 – Scootle )

• Comparing areas using grid paper
• Comparing volume using centicubes
• Recognising that metric units are not the only units used throughout the world, for example measuring the area of floor space using tatami mats (Japan), using squares for room and house area (Australia)

 

Convert between units of time (ACMMG085 – Scootle )

• Identifying and using the correct operation for converting units of time

Use ‘am’ and ‘pm’ notation and solve simple time problems (ACMMG086 – Scootle )

• Calculating the time spent at school during a normal school day
• Calculating the time required to travel between two locations
• Determining arrival time given departure time

 

Shape

Compare the areas of regular and irregular shapes by informal means (ACMMG087 – Scootle )

• Comparing areas using metric units, such as counting the number of square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088 – Scootle )

• Identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
• Creating a two-dimensional shapes from verbal or written instructions

 

Location and transformation

Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090 – Scootle )

• Identifying the scale used on maps of cities and rural areas in Australia and a city in Indonesia and describing the difference
• Using directions to find features on a map

 

Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091 – Scootle )

Geometric reasoning

Compare angles and classify them as equal to, greater than, or less than, a right angle (ACMMG089 – Scootle )

• Creating angles and comparing them to a right angle using digital technologies

Statistics and Probability

Chance

Describe possible everyday events and order their chances of occurring (ACMSP092 – Scootle )

• Using lists of events familiar to students and ordering them from ‘least likely’ to ‘most likely’ to occur

Identify everyday events where one cannot happen if the other happens (ACMSP093 – Scootle )

• Using examples such as weather, which cannot be dry and wet at the same time

Identify events where the chance of one will not be affected by the occurrence of the other (ACMSP094 – Scootle )

• Explaining why the probability of a new baby being either a boy or a girl does not depend on the sex of the previous baby

 

Data representation and interpretation

Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095 – Scootle )

• Comparing the effectiveness of different methods of collecting data
• Choosing the most effective way to collect data for a given investigation

 

Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values (ACMSP096 – Scootle )

• Exploring ways of presenting data and showing the results of investigations
• Investigating data displays using many-to-one correspondence

 

Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097 – Scootle )

• Interpreting data representations in the media and other forums in which symbols represent more than one data value
• Suggesting questions that can be answered by a given data display and using the display to answer questions

Number and place value

 

Investigate the conditions required for a number to be odd or even and identify odd and even numbers (ACMNA051 – Scootle )

• Identifying even numbers using skip counting by twos or by grouping even collections of objects in twos
• Explaining why all numbers that end in the digits 0, 2, 4, 6 and 8 are even and that numbers ending in 1, 3, 5, 7 and 9 are odd

 

Recognise, model, represent and order numbers to at least 10 000 (ACMNA052 – Scootle )

• Placing four-digit numbers on a number line using an appropriate scale
• Reproducing numbers in words using their numerical representations and vice versa

 

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053 – Scootle)

• Recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
• Justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations

 

Recognise and explain the connection between addition and subtraction (ACMNA054 – Scootle )

• Demonstrating the connection between addition and subtraction using partitioning or by writing equivalent number sentences

 

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055 – Scootle )

• Recognising that certain single-digit number combinations always result in the same answer for addition and subtraction, and using this knowledge for addition and subtraction of larger numbers
• Combining knowledge of addition and subtraction facts and partitioning to aid computation (for example 57 + 19 = 57 + 20 – 1)

 

Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056 – Scootle )

 

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057 – Scootle )

• Writing simple word problems in numerical form and vice versa
• Using a calculator to check the solution and reasonableness of the answer

 

Fractions and decimals

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058 – Scootle )

• Partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
• Locating unit fractions on a number line
• Recognising that in English the term ‘one third’ is used (order: numerator, denominator) but that in other languages this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator) for example Japanese

 

Money and financial mathematics

Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059 – Scootle )

 

Patterns and algebra

Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA060 – Scootle)

• Identifying and writing the rules for number patterns
• Describing a rule for a number pattern, then creating the pattern

 

Using units of measurement

Measure, order and compare objects using familiar metric units of length, mass and capacity (ACMMG061 – Scootle)

• Recognising the importance of using common units of measurement
• Recognising and using centimetres and metres, grams and kilograms, and millilitres and litres

 

Tell time to the minute and investigate the relationship between units of time (ACMMG062 – Scootle )

• Recognising there are 60 minutes in an hour and 60 seconds in a minute

 

Shape

Make models of three-dimensional objects and describe key features (ACMMG063 – Scootle )

• Exploring the creation of three-dimensional objects using origami, including prisms and pyramids

 

Location and transformation

Create and interpret simple grid maps to show position and pathways (ACMMG065 – Scootle )

Identify symmetry in the environment (ACMMG066 – Scootle )

 

Geometric reasoning

Identify angles as measures of turn and compare angle sizes in everyday situations (ACMMG064 – Scootle )

• Opening doors partially and fully and comparing the size of the angles created
• Recognising that analogue clocks use the turning of arms to indicate time, and comparing the size of angles between the arms for familiar times, and comparing the size of angles between the arms for familiar times

 

Chance

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results (ACMSP067 – Scootle )

• Conducting repeated trials of chance experiments such as tossing a coin or drawing a ball from a bag and identifying the variations between trials

 

Data representation and interpretation

Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording (ACMSP068 – Scootle)

• Refining questions and planning investigations that involve collecting data, and carrying out the investigation (for example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among Year 3 students in our class?’)

 

Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies (ACMSP069 – Scootle)

• Exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations
• Collecting data to investigate features in the natural environment

 

Interpret and compare data displays (ACMSP070 – Scootle) 

• Comparing various student-generated data representations and describing their similarities and differences