DEPARTMENT OF EDUCATION C2C Year Level Plan Mathematics Year 4 Year level description Curriculum intent The proficiency strands Understanding, Fluency, Problem Solving and Reasoning are an integral part of mathematics content across the three content strands: Number and Algebra, Measurement and Geometry, and Statistics and Probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. At this year level: Understanding includes making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times, and describing properties of symmetrical shapes Fluency includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations, and collecting and recording data Problem Solving includes formulating, modeling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations, and using properties of numbers to continue patterns Reasoning includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays. Achievement standard By the end of Year 4, students choose appropriate strategies for calculations involving multiplication and division. They recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two decimal places. Students solve simple purchasing problems. They identify unknown quantities in number sentences. They describe number patterns resulting from multiplication. Students compare areas of regular and irregular shapes using informal units. They solve problems involving time duration. They interpret information contained in maps. Students identify dependent and independent events. They describe different methods for data collection and representation, and evaluate their effectiveness. Students use the properties of odd and even numbers. They recall multiplication facts to 10 x 10 and related division facts. Students locate familiar fractions on a number line. They continue number sequences involving multiples of single digit numbers. Students use scaled instruments to measure temperatures, lengths, shapes and objects. They convert between units of time. Students create symmetrical shapes and patterns. They classify angles in relation to a right angle. Students list the probabilities of everyday events. They construct data displays from given or collected data. C2C adapted with permission by NT DoE © The State of Queensland 1 of 8 www.det.nt.gov.au Unit outline Semester 1 Sequencing the teaching and learning Term 1 Unit 1 Students have opportunities to develop understandings of: Number: representing, ordering, comparing and describing five digit numbers Number sense: partitioning and regrouping five digit numbers Computation: multiplication and division Fractions: equivalent fractions, comparing and ordering halves, quarters and eights Two dimensional shapes: common 2D shapes, combining, splitting, tangrams. Term 2 Unit 2 Students have opportunities to develop understandings of: Time: read, represent, convert, calculate durations Number sense: place value, order, compare, partition and regroup five digit numbers Equivalent fractions: halves, quarters, eighths, thirds, sixths, fifths, tenths Basic facts: addition, subtraction, multiplication and division Unit 3 Students have opportunities to develop understandings of: Data: planning a data collection, collecting, displaying and interpreting data Number and place value: positioning of digits, and representing, ordering, comparing and describing five digit numbers Addition and subtraction: developing a range of mental and written strategies to solve problems and check reasonableness of solutions Equivalent number sentences: identifying equalities and non equalities, and using strategies to find unknowns Money: identifying when change is required, calculating change to the nearest five cents. Unit 4 Students have opportunities to develop understanding of: Location: using simple scale, legends and cardinal compass points to find and describe locations and pathways Symmetry and angles: creating symmetrical patterns, pictures and shapes and identifying angles as equal to and not equal to right angles Multiplication and division: investigating number sequences and developing mental and written strategies related to multiplication and division Algebra: exploring and describing number patterns resulting from multiplication. General capabilities and Cross-curriculum priorities Opportunities to engage with: C2C adapted with permission by NT DoE © The State of Queensland Opportunities to engage with: 2 of 8 www.det.nt.gov.au Unit outline Semester 2 Sequencing the teaching and learning Term 3 Term 4 Unit 5 Students have opportunities to develop understandings of: Fractions: counting by fractions, representing fractions, investigating equivalent fractions, exploring tenths fractions Decimal: linking fractions to our place value system, working with tenths, comparing decimal fractions, representing and investigating decimal fractions Number: using standard and nonstandard partitioning of whole numbers, operating on numbers, multiplying and dividing by numbers Measurement: identifying what we are measuring, measuring temperature, measuring length, measuring mass, measuring capacity. Unit 6 Students have opportunities to develop understandings of: Number Sense: exploring the place value, partitioning numbers and using a range of strategies to make calculations and solve problems Multiplication and division: investigating number sequences involving multiples, building a repertoire of mental and written strategies and exploring a range of methods to assist with calculations Area: using informal units to measure and compare the surfaces of regular and irregular shapes Volume: investigating objects, making real world connections, and using informal units to order, calculate and compare. Unit 7 Students have opportunities to develop understandings of: Chance: describing the likelihood of everyday events using the language of chance, ordering the probability of events on a continuum and identifying events which can affect the chance of another event occurring. Fractions and decimals: exploring decimal numbers to hundredths, making real world connections and examining connections between fraction and decimal notation Number: exploring the structure of the place value system, partitioning numbers, identifying counting sequences and using a range of strategies to make calculations and solve problems Multiplication and division: building a repertoire of mental and written strategies and exploring a range of methods to assist with calculations. Unit 8 Students have opportunities to develop understandings of: Data: selecting and trialling methods for data collection, conducting suitable data displays from given and collected data and making conclusions or predictions based on data Number: investigating and using properties of odd and even numbers, reviewing multiplication and division and solving problems involving purchases and the calculation of change to the nearest five cents, and applying understanding of multiplication, division and money in a variety of engaging contexts Measurement and geometry: converting between units of time, using am and pm notation to solve simple time problems, creating symmetrical patterns, pictures and shapes and comparing and classifying angles as equal to and greater than a right angle, and applying understanding of time, angles and symmetry in a variety of engaging contexts. General capabilities and Cross-curriculum priorities Opportunities to engage with: Opportunities to engage with: Key to General capabilities and Cross-curriculum priorities Literacy Numeracy ICT competence Critical and creative thinking Ethical behaviour Personal and social competence Intercultural Aboriginal and Torres Strait Asia and Australia’s Sustainability understanding C2C adapted with permission by NT DoE © The State of Queensland Islander histories and cultures 3 of 8 engagement with Asia www.det.nt.gov.au Assessment Semester 1 Teachers and children organise evidence of learning in individual folios. The individual folio is constructed jointly by a teacher, a child, parents/carers and other partners. It becomes a dynamic record of examples of a child’s learning and development. Term 1 Term 2 Unit 2: Time problem-solving task Exam/Test Unit 3: Data detective Assignment/Project Unit 4: Legendland Assignment/Project Students will convert between units of time (seconds, minutes, hours) and solve problems involving time duration. Students demonstrate their ability to design and trial a data collection to investigate an issue of interest. They will choose the most suitable method to collect the data for their question, display and then use that data to support their conclusion. Students complete the map of Legendland and use simple scale, legends and directions to answer questions related to location and pathways. They use knowledge of symmetry and angles to solve problems. Unit 3: Number and algebra (eAssessment) Exam/Test Students demonstrate their understanding of number and algebra as they answer questions on place value, solve unknowns, maintain equivalence in equations and interpret and solve problems using addition and subtraction. Making consistent judgements / Feedback Teachers will develop tasks and plan units. Teachers will moderate representative portfolios. C2C adapted with permission by NT DoE © The State of Queensland Curriculum leaders will moderate random sample folios. Teachers will moderate tasks. 4 of 8 www.det.nt.gov.au Assessment Semester 2 Teachers and children organise evidence of learning in individual folios. The individual folio is constructed jointly by a teacher, a child, parents/carers and other partners. It becomes a dynamic record of examples of a child’s learning and development. Term 3 Unit 5: Year 4 mathematics QCAT. Exam/Test Term 4 Unit 6: All about area Written Unit 7: What are the chances? Exam/Test The QCAT gathers evidence about how Students compare the areas of regular well students apply the proficiency and irregular shapes. strands to: count by quarters, halves and thirds, including mixed numerals investigate equivalent fractions locate and represent fractions on a number line make connections between fractions and decimal notation. To describe the occurrence of everyday events and explain the impact of events on the likelihood of other events. Making consistent judgments / Feedback Teachers will cross-mark. They will sample folios to check consistency of teacher judgements and task development. C2C adapted with permission by NT DoE © The State of Queensland Teachers will moderate representative folios within the cluster. Curriculum leaders and teachers will check a random sample. 5 of 8 www.det.nt.gov.au Balance and coverage of content descriptions Year 4 Number and Algebra Term Number and place value 1 Investigate and use the properties of odd and even numbers. 1 Recognise, represent and order numbers to at least tens of thousands. 1 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems. 1 3 3 1 2 3 Statistics and Probability 4 3 2 1 5 Using units of measurement 8 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures. 5 Describe possible everyday events and order their chances of occurring. 7 7 Compare objects using familiar metric units of area and volume. 6 Identify everyday events where one cannot happen if the other happens. 7 7 Convert between units of time. 2 8 Identify events where the chance of one will not be affected by the occurrence of the other. 7 Use am and pm notation and solve simple time problems. 2 8 6 4 6 4 6 4 6 Chance Term 4 2 Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9. Recall multiplication facts up to 10 × 10 and related division facts. 2 Term Measurement and Geometry 1 2 3 4 7 2 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder. C2C adapted with permission by NT DoE © The State of Queensland 6 of 8 www.det.nt.gov.au Balance and coverage of content descriptions Year 4 Number and Algebra Term Fractions and decimals 1 Investigate equivalent fractions used in contexts. 1 2 3 4 5 1 5 7 5 7 2 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation. Money and financial mathematics 1 2 Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies. 3 Statistics and Probability 4 6 1 Data representation and interpretation Term 1 2 3 4 Select and trial methods for data collection, including survey questions and recording sheets. 3 8 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. 3 8 Evaluate the effectiveness of different displays in illustrating data features including variability. 3 Location and transformation Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies. 3 Patterns and algebra Explore and describe number patterns resulting from performing multiplication. Shape Compare the areas of regular and irregular shapes by informal means. 2 Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line. Term Measurement and Geometry 8 Use simple scales, legends and directions to interpret information contained in basic maps. 4 Create symmetrical patterns, pictures and shapes with and without digital technologies. 4 8 4 8 Geometric reasoning 1 4 2 C2C adapted with permission by NT DoE © The State of Queensland Compare angles and classify them as equal to, greater than or less than a right angle. 7 of 8 www.det.nt.gov.au Balance and coverage of content descriptions Year 4 Number and Algebra Patterns and algebra cont. Term 1 2 Solve word problems by using number sentences involving multiplication or division where there is no remainder. 4 Use equivalent number sentences involving addition and subtraction to find unknown quantities. 3 3 Measurement and Geometry Term Statistics and Probability Term 4 7 8 7 References http://www.australiancurriculum.edu.au/ Australian Curriculum Version 3.0 dated 23 January 2012 Copyright © The State of Queensland (represented by the Department of Education and Training) Copyright in this work is owned by or licensed to the State of Queensland (acting through the Department of Education and Training), PO Box 15033 City East QLD 4002 Australia and is reproduced with its permission. No part may be further reproduced in hardcopy form by anyone outside the Northern Territory Department of Education without the express permission of the Queensland Department of Education and Training. C2C adapted with permission by NT DoE © The State of Queensland 8 of 8 www.det.nt.gov.au
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