from combining and splitting common shapes, with and without the use of digital technologies Location and transformation Create symmetrical patterns, pictures and shapes with and without digital technologies Geometric reasoning Compare angles and classify them as equal to, greater than or less than a right angle Numeracy Make links to real-life applications ICT capability Use an electronic geoboard to explore composite shapes Use a digital camera to record combinations Use drawing tools to create diagrams of composite shapes Critical and creative thinking Use thinking skills to complete group activities and open-ended tasks Personal and social capability Work together to participate in mathematical investigations and learning experiences 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. Proficiencies Opportunities to develop proficiencies include: Understanding Problem Solving formulating, modelling and recording authentic situations involving
making connections between representations of numbers describing properties of symmetrical shapes Fluency communicating sequences of simple fractions creating patterns with shapes operations using properties of numbers to continue patterns Reasoning comparing angles Relevant prior curriculum Curriculum working towards In the Australian Curriculum: Mathematics at Year 2 Measurement and Geometry Shape Describe and draw two-dimensional shapes, with and without digital technologies. In the Australian Curriculum: Mathematics at Year 3 Measurement and Geometry Shape Make models of three-dimensional objects and describe key features. Location and transformation Identify symmetry in the environment. Geometric reasoning Identify angles as measures of turn and compare angle sizes in everyday situations. In the Australian Curriculum: Mathematics at Year 5 Measurement and Geometry Using units of measurement Choose appropriate units of measurement for length, area, volume, capacity and mass. Calculate the perimeter and area of rectangles using familiar metric units. Shape Connect three-dimensional objects with their nets and other representations. Location and transformation Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries. Apply the enlargement transformation to familiar two-dimensional shapes and explore the properties of the resulting image compared with the original. Geometric reasoning Estimate, measure and compare angles using degrees. Construct angles using a protractor. Bridging content In the Essential Learnings by the end of Year 3, the concept of angles has not been addressed. Students have previously been taught about simple common fractions and mixed numbers, but the Essential Learnings do not prepare students to count using these fractions. Links to other learning areas Studies of Society and Environment — location and direction, compass points Visual Art — viewing, discussing and creating symmetrical and asymmetrical pictures and paintings