RIC-20153 ACM Measurement and Geometry (Yr 3) Geometric reasoning

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FORMAT OF THIS BOOK This teacher resource book includes supporting materials for teaching and learning in all sections of the Measurement and Geometry content strand of Australian Curriculum Mathematics. It includes activities relating to all sub-strands: Using units of measurement, Shape, Location and transformation, and Geometric reasoning. All content descriptions have been included, as well as teaching points based on the Curriculum’s elaborations. Links to the proficiency strands have also been included. Each section supports a specific content description and follows a consistent format, containing the following information over several pages: • teacher information with related terms, student vocabulary, what the content description means, teaching points and problems to watch for • hands-on activities • resource sheets • a checklist • links to other curriculum areas • assessment sheets. Answers relating to the resource and assessment pages are included on the final page of the section for each sub-strand (Using units of measurement, Shape, Location and transformation, and Geometric reasoning). The length of each content description section varies. Related terms includes vocabulary associated with the content description. Many of these relate to the glossary in the back of the official Australian Curriculum Mathematics document; additional related terms may also have been added. Student vocabulary includes words which the teacher would use—and expect the students to learn, understand and use—during mathematics lessons. The proficiency strand(s) (Understanding, Fluency, Problem Solving solving or Reasoning) relevant to each content description are listed. shown in bold. Teacher information includes background information relating to the content description, as well as related terms, desirable student vocabulary and other useful details which may assist the teacher. Sub-strand: Location and transformation— L&T – 1 Create and interpret simple grid maps to show position and pathways (ACMMG065) RELATED TERMS Grid maps vever s. w (x ver(y Position T r s. Pathway T . Coordinates (Cartesian coordinates) repr r s. Student vocabulary coordinates north south east west clockwise anticlockwise right left forward backwards over under turn paces steps Notewe ‘a ’. TEACHER INFORMATION What this means ’ ’ ’ . Teaching points T e. . 5 4 x y 3 2 1 s. A B C D E What to look for . Students’ . e. . yx . e. Proficiency strand(s): Understanding Problem solving F 46 Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au What this means provides a general explanation of the content description. Teaching points provides a list of the main teaching points relating to the content description. What to watch look for for suggests any any difficulties and misconceptions the students might encounter or develop. ©R.I.C. Publications Low Resolution Images Display Copy Sub-strand: Location and transformation— L&T– 1 HANDS–ON ACTIVITIES Grid moves game ‘’. ‘Move 2 squares to the left and up 3 squares’ all students Hands-on activities includes descriptions or instructions for games or activities relating to the content descriptions or elaborations. Some of the hands-on activities are supported by resource sheets. Where applicable, these will be stated for easy reference. 1 4 2 3 Is the bookcase bigger or smaller than the easel? How much bigger is the teacher’s desk than any of the other desks? . yxy Where is the library? How would you get from the office to the car park? What are the coordinates of the art room? What is the shortest way to get from the canteen to the oval? What other ways could you get there? First to ten game: Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au 47 iv Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au
(c) (e) (a) (d) (f) (b) No lines of symmetry There are an infinite number of lines of symmetry in a circle. No lines of symmetry (d) (a) (b) (c) (f) (h) (g) (e) (i) FORMAT OF THIS BOOK Links to other curriculum areas includes activities in other curriculum areas which support the content description. These are English, Information and Communication Technology, Health and Physical Education, History, Geography, the Arts and Languages). This section may list many links or only a few. It may also provide links to relevant interactive websites appropriate for the age group. Cross-curricular links reinforce the knowledge that mathematics can be found within, and relate to, many other aspects of student learning and everyday life. CONTENT DESCRIPTION: Create and interpret simple grid maps to show position and pathways Sub-strand: Location and transformation— L&T – 1 Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au 55 Sub-strand: Location and transformation— L&T – 1 Create and interpret simple grid maps to show position and pathways (ACMMG065) STUDENT NAME RESOURCE SHEET The new suburb Below is part of a map of a new suburb. The map is missing some details. Show: 1. Traffic lights at the corner of White and Green Streets 2. A shop at G4 3. A car park east of Black Lane and south of Yellow Rd 4. A park between Green and Yellow Roads, with a slide at B5 and swings at C6 5. Orange Ave one-way heading west 6. A mail box at K8 and a café at A3 7. A building of your choice at F2 and F3. 8. Describe how to get from the mail box to the café. Uses simple coordinates Creates simple grid maps Interprets simple grid maps North Checklist Identifies relative positions on a map Resource sheets are provided to support teaching and learning activities for each content description. The resource sheets could be cards for games, charts, additional worksheets for class use or other materials which the teacher might find useful to use or display in the classroom. For each resource sheet, the content description to which it relates is given. Assessment pages are included. These support activities included in the Hands-on activities or resource sheets. Each section has a checklist which teachers may find useful as a place to keep a record of the results of assessment activities, or their observations of hands-on activities. Sub-strand: Location and transformation— L&T – 1 English Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au 49 Assessment 2 Sub-strand: Location Sub-strand: transformation— Shape—Shape L&T – 1 NAME: 58 Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au Sub-strand: Location and transformation L&T – 1 Page 55 Resource sheet – The new suburb 1.–8. Teacher check Page 56 Assessment 1 – The clothes line 1. jeans 2. second from the left on the top line 3. skirt 4. 3 5. 4 6. Teacher check 7. Teacher check Ring a Toy Page 65 DATE: Below is a game used at a school fete. The aim is to throw hoops over the squares and if you land on a toy, you win it. 5 4 3 2 1 1. What is the toy in D3? 2. In what square is the fairy doll? 3. The toy in C4 is a . 4. In what square is the toy train? 5. What is the toy in A5? LINKS TO OTHER CURRICULUM AREAS Once upon a time map booke. . Information and Communication Technology Z Health and Physical Education Indians and tepees ’e. ’’ clockwise ’anticlockwise ’ ’’ . History and Geography . A B C D E 6. Draw a toy frog in E2 and a toy of your choice in B1. ©R.I.C. Publications Low Resolution Images Display Copy Answers Resource sheet – Transparent mirror activity page CONTENT DESCRIPTION: Create and interpret simple grid maps to show position and pathways Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au 59 Answers for resource pages (where appropriate) and assessment pages are provided on the final page of each sub-strand section. Page 57 Assessment 1 – Near the school 1. a swing 2. B7 3. oval and park (or swing) 4. Arrows showing School Street one-way from west to east. Teacher check. 5. Go left (or west) along Careful Street; turn right (north) into Park Road; first right into School Street and the hospital is on the left. Page 58 Assessment 2 – Ring a toy 1. A toy car 2. A2 3. A (beach) ball 4. C1 5. A dog 6. Teacher check L&T – 2 Page 63 Resource sheet – Symmetry in shapes 1. Page 66 Resource sheet – Reflections on symmetry 1.–3. Teacher check Page 67 Resource sheet – Symmetry in the garden 1. (a) (b) (c) (d) (e) (f ) 2. Teacher check Page 68 Assessment 1 – Transparent mirror symmetry 1. 2. Teacher check Page 69 1. Teacher check Assessment 2 – Deb and Tim’s toy shop Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au 71 Australian Curriculum Mathematics resource book: Measurement and Geometry (Year 3) R.I.C. Publications ® www.ricpublications.com.au v
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RIC-20153 ACM Measurement and Geometry (Yr 3) Geometric reasoning

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