Year 1 Assessment Numeracy Checkpoints — June Post office Calculating and estimating Using fractions, decimals, percentages, ratios and rates Contents Purpose .......................................................................................... 3 June assessment focus ...................................................................................... 3 Before implementing ..................................................................... 3 Suggested times................................................................................................. 3 Suggested teaching and learning ....................................................................... 4 Catering for diversity .......................................................................................... 6 Teacher preparation ........................................................................................... 6 Resources .......................................................................................................... 6 Implementing ................................................................................. 8 Making judgments ....................................................................... 16 Using data to inform future directions ....................................... 16 Appendix A: Numeracy class checklist — Year 1 ..................... 18 Appendix B: Letterbox number line ........................................... 21 Appendix C: Postie Pam’s week................................................. 22 Appendix D: Postie Pam’s letter cut-outs .................................. 23 Appendix E: Postie Pam’s parcel cut-outs .................................. 25 Appendix F: Stamp cut-outs ....................................................... 26 Purpose The assessments within the checkpoints have been designed to be implemented within everyday classroom practice. They provide opportunities for children to demonstrate the targeted indicators within learning areas. Assessment of young children is an integral part of the learning–teaching process and is not a separate activity. Assessment involves the purposeful, systematic and ongoing monitoring of children’s learning. The information gathered is used for future planning and to make judgments about a child’s learning. June assessment focus June is the second monitoring point in the Year 1 Assessment: Literacy and Numeracy Checkpoints. There are four numeracy assessments for June. This assessment and the indicators it targets are indicated in bold text in the table below. June assessments Post office — Calculating and estimating (CE) Using fractions, decimals, percentages, ratios and rates (FDPR) Targeted numeracy indicators CE 1 iii CE 1 iv CE 1 vi CE 1vii CE 1 x FDPR 1 i Post office — Using measurement (M) Using spatial reasoning (SR) SR 1 ii Round the ridges — Using spatial reasoning (SR) SR 1 i Patterns in songs and games — Recognising and using patterns and relationships (PR) M1i M 1 iii M 1 iv PR 1 i Before implementing Suggested times Section Suggested times 1 3 minutes — children working individually 2 5–10 minutes — children working in small groups (3–4 children) 3 10 minutes — children working in small groups 4 5 minutes — children working individually 5 5 minutes 6, 7 8 minutes — children working individually 8 5 minutes — children working in small groups + 1 minute per individual interview Queensland Studies Authority January 2012 | 3 Suggested teaching and learning Children need multiple opportunities to engage with all aspects of the indicators before this assessment. Suggested teaching and learning before implementing Visit the local post office to post a letter. Set up a class post office. Ask the children to use “mind pictures” to: estimate how many parcels will fill display spaces arrange letterboxes into a given space. Explore the function and operations of a post office. The post office — resources The Journey of a Letter (DVD and PDF) is available from the Australia Post website: <http://auspost.com.au/education/teacher-journey-of-a-letter.html>. The Australia Post education website <http://auspost.com.au/education/index.html> activates children’s prior knowledge and provides background experiences, such as: buying stamps posting letters sorting mail according to house numbers bundling letters. Australia Post — Postie Kate’s activities website: <www.kidsmedia.com.au/Interactives/postie-kate.html> Teacher and children create a class post office. Children collaboratively explore and develop measurement concepts while engaging in real-life, purposeful play. Target numeracy indicator Suggested teaching and learning CE1 iii Order and position whole numbers using 0, 50, and 100 as key reference points Teachers: write numbers from 0 to 100 on labels, then order and position the number labels and apply them to the letterboxes. (Ensure you place a zero in the sequence) Children: position and order the letters on the letter boxes according to the numbers on the letters deliver the mail by placing the mail bundles on the labelled letterboxes that correspond to the numbers on the letters CE 1 iv Identify and compare the quantity of whole numbers to at least 100, partitioning using place value (groups of 10) Children: sort all the mail from the class letterbox by making bundles of letters with the same number practise bundling letters in groups of 10. Combine bundles of letters, identify the number of letters in combination and record the amount collaboratively compare combinations of letter bundle quantities Teachers: model identifying and comparing whole numbers using standard partitions (10), e.g. This bundle of 30 is greater than this bundle of 20 because there is 10 less, or one group less, in the bundle of 20 4 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Target numeracy indicator Suggested teaching and learning CE 1 vi Work out basic facts and explain the mental strategies and processes used to combine, add, take away and find the difference in everyday situations by: counting on counting back partitioning, including place value, and rearranging parts Children: solve addition and subtraction problems with materials and problem situations from the post office and describe their mental strategies and how they worked out basic facts, focusing on counting on, counting back and partitioning collaboratively explore opportunities to work out basic facts and mental strategies to combine, add, take away or find the difference required within the post office and explain the processes used represent the strategies explored using materials and drawings, e.g. grouping objects together using circles, writing numerals when counting on, and crossing out when counting back CE 1 vii Create, solve and sort problems and visual images of problems involving: addition and subtraction using singledigit whole numbers in number expressions represented as drawings or actions, e.g. 2 jumps and 3 claps makes 5 actions inverse relationship between addition and subtraction arrays, groups and rows represented using materials and drawings for single- and two-digit numbers, e.g. 2 groups of 3 lily pads is equal to 6 lily pads, 6 lily pads can be shared by the pond life into groups of 2 or 3 Children: create problem situations using materials from the post office. Collaboratively explore and identify solutions using the language associated with the indicator investigate everyday problem situations. Identify whether combining, adding, taking away, finding the difference, making arrays or groups is required roleplay creating addition and subtraction stories that represent number expressions roleplay postal activities to create stories using arrays, groups and rows, e.g. sorting letters into street allocations, house allocations draw the stories they have enacted CE 1 x Describe and order Australian coins and notes according to their value Children: exchange coins for stamps during play, discussing the features of the coins and the stamps set up a cash register and arrange the money according to their value FDPR 1 i Identify and describe a half as either of the two equal parts of collections or lengths Children: make envelopes for the letters by folding paper in half and sticking two sides down. Focus the child’s attention on half as being either of the two equal parts explore the concept of half within a range of collections and objects. Encourage children to identify and describe how they know that it is half. Introduce the term “equal parts”. Use the terms “one half”, “two halves” and refer to either of the two equal parts Queensland Studies Authority January 2012 | 5 Catering for diversity Inclusive strategies enable a learner with disabilities to participate in learning experiences on the same basis as a learner without disabilities. This is achieved by making adjustments to the delivery or mode of assessment, without changing the way the assessment is judged or marked. A teacher makes required adjustments to teaching, learning and assessment to enable a student with disabilities to demonstrate knowledge, skills or competencies (Disability Discrimination Act 1992 and Disability Standards for Education 2005 Cwlth). Specific adjustments in Post office — Calculating and estimating may include: opportunities to explore and play with materials before the assessment altered resources, e.g. larger, more visual repeated opportunities to respond. Teacher preparation This assessment should be completed by the end of June, although some children may be ready to be assessed earlier than June. Familiarise yourself with the assessment by: reading the entire document noting the highlighted aspect of each indicator that is the focus of the assessment noting the specific evidence that you will be looking for within each section. Plan for implementation by preparing the necessary resources, and considering the following questions: How will I implement this assessment within my regular teaching program? What additional support will I require? Resources Teachers will need the following resources when implementing this assessment: Section Resources 1–8 (inclusive) the implementation plan to follow when undertaking the assessment A3 copy— Appendix A: Numeracy class checklist — Year 1 to record each child’s responses Appendix B: Letterbox number line Enlarge to A3 size and make two copies. Cut out strips of letterboxes (there are 10 per row) and arrange them in rows of ten to resemble a hundred board. Leave a blank space before letterbox 1 and write “0” as a reference point in this space. Write 50 and 100 on letter boxes and position them on the number line Appendix D: Postie Pam’s letter cut-outs Photocopy on to card and cut out individual letters. Write the numbers of your choice on the blank envelopes, including several between 11 and 20 and between 31 and 40. 6 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office 2 at least forty (old), small envelopes for counting pegs, rubber bands, or string for bundling 3 Appendix C: Postie Pam’s week Appendix D: Postie Pam’s letter cut-outs Appendix E: Postie Pam’s parcel cut-outs blocks, pencil and paper (optional) 4 Appendix D: Postie Pam’s letter cut-outs Appendix E: Postie Pam’s parcel cut-outs Appendix F: Stamp cut-outs blocks, pencil and paper (optional) 5 Appendix B: Letterbox number line and numbered letters Appendix D: Postie Pam’s letter cut-outs 6 Appendix F: Stamp cut-outs 7 Appendix F: Stamp cut-outs Play or real money of Australian coins and notes 8 A4 pieces of paper for folding to form envelopes bundle of letters string/rubber bands Queensland Studies Authority January 2012 | 7 Implementing Record all evidence on the checklist provided as Appendix A. Section 1. Posting letters CE 1 iii Suggested implementation Source of evidence Order and position whole numbers using 0, 50 and 100 as key reference points 1. Show the child the number line of letterboxes. 2. Give the child at least four numbered letters, in random order, including two between 11 and 20 and two between 31 and 40. 3. Ask the child to order and position the numbers, showing where each numbered letter should be posted by placing it on the corresponding letterbox on the number line. Children: order and position envelopes using the key reference points of 0, 50 and 100 to determine where each numbered envelope should be positioned Resource Appendix B: Letterbox number line (see Resources list) Appendix D: Postie Pam’s letter cutouts (see Resources list) Suggested time 3 minutes working individually 8 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Section 2. Bundling envelopes CE 1 iv Suggested implementation Source of evidence Identify and compare the quantity of whole numbers to at least 100, partitioning using place value (groups of 10) Provide the child with a quantity of envelopes (less than 100 but more than 20) and pegs, rubber bands or string to bundle the envelopes. Ask the child to: 1. identify the quantity by counting out the envelopes to find out how many there are, bundling groups of ten as they count 2. arrange the envelopes so they are easy to count. Prompt: “You might like to bundle them as you go to help you keep count/make them easier to count.” Ask the child to make two bundles of envelopes and compare the quantities of envelopes. Ask: Is this bundle greater than this one? How do you know? Is there another way you can describe that? Children: identify the correct number of envelopes by bundling envelopes into groups of tens and ones compare the quantity of the bundles Resources at least 40 envelopes (less than 100 but more than 20) pegs, rubber bands or string Suggested time 5–10 minutes working in small groups Queensland Studies Authority January 2012 | 9 Section 3. Postie Pam CE 1 vi Suggested implementation Source of evidence Work out basic facts and explain the mental strategies and processes used to combine, add, take away and find the difference in everyday situations by: counting on counting back partitioning, including place value, and rearranging parts 1. Read Postie Pam’s week to the child (Appendix C). Say: “You are going to solve the addition and subtraction problems for Postie Pam” “You can work out the answers by drawing or using materials”. 2. Provide the child with materials and a blank piece of paper, e.g. cut-out letter cards (Appendix D), cut-out parcel cards (Appendix E), blocks or pencil and paper. 3. Use (Appendix C) asking them to explain, draw or demonstrate with the materials how they would solve each of Postie Pam’s problems. Children: identify strategies for combining, adding taking away or finding the difference (i.e. can be understood by others) solve the problems by selecting a suitable operation Resources Appendix C: Postie Pam’s week Appendix D: Postie Pam’s letter cut-outs Appendix E: Postie Pam’s parcel cut-outs blocks, pencil and paper (optional) Suggested time 10 minutes working in small groups 10 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Section 4. Basic facts and problem solving CE 1 vi Suggested implementation Source of evidence Work out basic facts and explain the mental strategies and processes used to combine, add, take away and find the difference in everyday situations by: counting on counting back partitioning, including place value, and rearranging parts Ask: “I have six letters and two parcels to post. How many items do I have to post altogether?” “How did you work out the answer?” Ask the child to create and solve their own problems by: 1. Adding different bundles of letters (Appendix D) and parcels (Appendix E) to solve problems and explain what they have done and found out using single-digit basic facts. 2. Combining bundles to work out how many stamps are required (Appendix F). Children: solve the single-digit basic facts problems using their own logical solutions and mental strategies and explain how they worked out the solution Resources Appendix D: Postie Pam’s letter cut-outs Appendix E: Postie Pam’s parcel cut-outs Appendix F: Stamp cutouts (see Resources) blocks, pencil and paper (optional) Suggested time 5 minutes working individually Queensland Studies Authority January 2012 | 11 Section 5: Creating number stories 12 | CE 1 vii Suggested implementation Source of evidence Create, solve and sort problems and visual images of problems involving: addition and subtraction using single-digit whole numbers in number expressions represented as drawings or actions, e.g. 2 jumps and 3 claps makes 5 actions inverse relationship between addition and subtraction arrays, groups and rows represented using materials and drawings for single- and two-digit numbers, e.g. 2 groups of 3 lily pads is equal to 6 lily pads, 6 lily pads can be shared by the pond life into groups of 2 or 3 Ask the child to draw or act out some post office adding and taking away stories with the letters and letterboxes Prompt: “The postie had 5 letters and posted 1 in the letterbox, now there are 4 letters left.” If needed, give the child examples of number expressions, e.g. 5 – 1 = 4. Children: Create addition and subtraction stories of interest and identify the inverse relationship Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Resources Appendix B: Letterbox number line Appendix D: Postie Pam’s letter cutouts Suggested time 5 minutes working individually Section 6. Creating arrays CE 1 vii Suggested implementation Source of evidence Create, solve and sort problems and visual images of problems involving: addition and subtraction using single-digit whole numbers in number expressions represented as drawings or actions, e.g. 2 jumps and 3 claps makes 5 actions inverse relationship between addition and subtraction arrays, groups and rows represented using materials and drawings for single- and two-digit numbers, e.g. 2 groups of 3 lily pads is equal to 6 lily pads, 6 lily pads can be shared by the pond life into groups of 2 or 3 Show the child one array of stamps at a time. Ask the child to count the stamps shown in each array. Note: 10 stamps per array maximum. Children: skip count and/or subitise to determine the number of stamps in arrays Resource Appendix F: Stamp cut-outs Resources Suggested time 3 minutes Queensland Studies Authority January 2012 | 13 Section 7. Paying for stamps CE 1 x Suggested implementation Source of evidence Describe and order Australian coins and notes according to their value Give the child stamps that are the same value as the Australian coins and notes. Give the child Australian coins and notes. Ask the child to place the coins and notes in order according to their value Ask: Can you match the stamps with a coin or note of the same value? Note: If the 20 cent coin proves too difficult, try the 5 and 10 cents progressively. Ask: Which coins and notes values are missing from the stamps? Children: describe the coin that matches the stamp place the coins and notes in order of their value describe the coins and notes that cannot be matched to stamps according to their value Resources Appendix F: Stamp cut-outs play or real money of Australian coins and notes Suggested time 5 minutes working in small groups 14 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Section 8. Making half FDPR 1 i Suggested implementation Source of evidence Identify and describe a half as either of the two equal parts of collections or lengths Say: We are going to make an envelope. Can you start by folding the paper in half? 1. Ask the child how they know it is half and if they can identify the two equal halves that make up the whole piece of paper. (Continue to fold down the top to make an envelope). 2. Give the child an even-numbered bundle of letters and ask them to give you half of the bundle of letters and to keep the other half for themselves. 3. Ask the child to explain how they know they have half. Children: fold paper in half to make an envelope showing two equal parts (lengths) and describe how two halves make a whole sort an even number of letters into two equal groups (collections) and describe how they know they have half of the letters Resources A4 pieces of paper for folding into envelopes bundle of letters, string/rubber bands Suggested time 5 minutes working in small groups + 1 minute per individual interview Queensland Studies Authority January 2012 | 15 Making judgments Teachers make judgments by matching evidence in each child’s response to the indicators being assessed. The indicator is either demonstrated or not demonstrated. Teachers record judgments using Appendix A: Numeracy class checklist — Year 1. An annotated work sample of a child’s achievement of the targeted indicators is available on the QSA website <www.qsa.qld.edu.au/11740.html>. Teachers tick the indicator on the Data analysis assessment record (DAAR) only when the targeted indicator has been achieved. Using data to inform future directions Teachers use the class data recorded on the DAAR and individual children’s profiles to inform future directions for teaching and learning. When using the DAAR, teachers identify indicators that need further teaching for: the whole class small groups of children individual children. The Future Directions resource (available on the QSA website at <www.qsa.qld.edu.au/11740.html>) provides suggested additional teaching and learning to develop children’s understanding of the targeted indicators. Children who have not achieved the highlighted aspects of the targeted indicators in the June assessments should be given opportunities to be explicitly taught the indicators not yet achieved. Children who have achieved the expectations of the targeted indicators in the June assessments should be given opportunities to extend and strengthen their learning by engaging with the indicators at the next level. 16 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Appendix A: Numeracy class checklist — Year 1 Names: (write initials) Section 1. Posting letters CE 1 iii Order and position whole numbers using 0, 50 and 100 as key reference points Uses the key reference points of 0 and 50 on a letterbox number line up to 100 to determine where a letter should be posted (positioned) Section 2. Bundling envelopes CE 1 iv Identify and compare the quantity of whole numbers to at least 100, partitioning using place value (groups of 10) Identifies the correct number of envelopes by bundling envelopes into groups of tens and ones. Compares the quantity of the bundles Section 3. Postie Pam CE 1 vi Work out basic facts and explain the mental strategies and processes used to combine, add, take away and find the difference in everyday situations by: counting on counting back partitioning, including place value, and rearranging parts Identifies strategies for combining, adding, taking away and finding the difference (i.e. can be understood by others), and solves the problems by selecting a suitable operation 18 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Names: (write initials) Section 4. Basic facts and problem solving CE 1 vi Work out basic facts and explain the mental strategies and processes used to combine, add, take away and find the difference in everyday situations by: counting on counting back partitioning, including place value, and rearranging parts Solves the basic facts problems using their own logical solutions and mental strategies and explains how they worked out the solution Section 5. Creating number stories CE 1 vii Create, solve and sort problems and visual images of problems involving: addition and subtraction using single-digit whole numbers in number expressions represented as drawings or actions, e.g. 2 jumps and 3 claps makes 5 actions inverse relationship between addition and subtraction arrays, groups and rows represented using materials and drawings for single- and two-digit numbers, e.g. 2 groups of 3 lily pads is equal to 6 lily pads, 6 lily pads can be shared by the pond life into groups of 2 or 3 Creates addition and subtraction stories of interest and identifies the inverse relationship Queensland Studies Authority January 2012 | 19 Names: (write initials) Section 6. Stamps CE 1 vii Create, solve and sort problems and visual images of problems involving: addition and subtraction using single-digit whole numbers in number expressions represented as drawings or actions, e.g. 2 jumps and 3 claps makes 5 actions inverse relationship between addition and subtraction arrays, groups and rows represented using materials and drawings for single- and two-digit numbers, e.g. 2 groups of 3 lily pads is equal to 6 lily pads, 6 lily pads can be shared by the pond life into groups of 2 or 3 Skip counts and/or subitises to determine the number of stamps in arrays Section 7. Paying for stamps CE 1 x Describe and order Australian coins and notes according to their value Describes the coin or note that matches the stamp’s value, and places the coins and notes in order of their value Describes the coins and notes that cannot be matched to stamps according to their value Section 8. Making half FDPR 1 i Identify and describe a half as either of the two equal parts of collections or lengths Folds paper in half to make an envelope showing two equal parts (lengths) and describes how two halves make a whole Sorts a given even number of letters into two equal groups (collections) and describes how they know they have calculated half of the letters 20 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Appendix B: Letterbox number line Teachers will need to enlarge this sheet, making two copies and cut the 100 letter boxes into 10 strips before implementing the assessment. Queensland Studies Authority January 2012 | 21 Appendix C: Postie Pam’s week Postie Pam delivers lots of letters and parcels each week. Monday She had 5 parcels and 10 letters to deliver. Thursday She had 5 more letters to deliver than she had on Monday. Tuesday Wednesday She had 10 parcels and 25 letters to deliver. She had only 20 letters but no parcels to deliver. Friday She had 3 fewer parcels to deliver than she had on Tuesday. 22 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Appendix D: Postie Pam’s letter cutouts Teachers will need to print multiple sets and cut along the lines before implementing the assessment. Queensland Studies Authority January 2012 | 23 24 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Appendix E: Postie Pam’s parcel cutouts Teachers will need to print multiple sets and cut out the parcels before implementing the assessment. Queensland Studies Authority January 2012 | 25 Appendix F: Stamp cut-outs Teachers will need to cut out the arrays of stamps before implementing the assessment. 26 | Year 1 Assessment: Literacy and Numeracy Checkpoints — June Numeracy: Post Office Queensland Studies Authority January 2012 | 27 Queensland Studies Authority 154 Melbourne Street, South Brisbane PO Box 307 Spring Hill QLD 4004 Australia T +61 7 3864 0299 F +61 7 3221 2553 www.qsa.qld.edu.au