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© 2020 Adept Education Limited Follows Stage 0 of the New ZealandMathematics CurriculumCreated byLucy PatstonAges 4-5 | Year 0

© 2020 Adept Education Limited ContentsIntroducing Reaching Competence ……………………………………………………………….4Overview of Books 1 to 4 ………………………………………………………………………………6Book 1 Apple and Android Applications ………………………………………………………..7Book 1 Learning Intention Sticker Chart ………………………………………………………..8IXL Summary of Activities for Book 1 …………………………………………………………….9Learning Intention 1.1: Knows the names of the main colours ………………………10Learning Intention 1.2: Able to sort by up to two attributes ………………………….15Learning Intention 1.3: Able to match one to one …………………………………………19Learning Intention 1.4: Able to copy and create a simple repeating pattern22Learning Intention 1.5: Able to count to 10 …………………………………………………..28Learning Intention 1.6: Able to recognise numerals to 6 ……………………………….30Learning Intention 1.7: Able to count a set of objects to 6 .…………………………..35Learning Intention 1.8: Able to order numerals to 6 ……………………………………..38Learning Intention 1.9: Able to give the number before and after in the range 0-6 …………………………………………………………………………………………………44Resources ……………………………………………………………………………………………………..47About the Author ……………..…………………………………………………………………………..73

© 2020 Adept Education Limited Practice & Apply SectionsAbout the ProgrammeThe Reaching Competence Mathematics Programme by Adept Education covers the mathematics curriculum up to high school. Each book is divided into learning intentions that are appropriate for your learner’s age group. Learning intentions are maths skills that can be thought of as knowledge pieces that build on each other as students develop a deeper understanding of the concepts of mathematics.Book 1 covers the 9 learning intentions for learners aged about 4 to 5 years old. At this level, learners need to practice recognising numbers up to ten. They need to become confident at counting forwards to ten and backwards from ten. They need to know numbers before and after a given number. They need to be able to order numbers up to six.Setting the pace Students will progress through each learning intention at a different pace. One may take a few minutes to master and apply, while another may take a few hours, a week, or more. This is normal, but if frustration arises, move on to another learning intention and return to the difficult one after the next has been mastered.Learning intentions are divided into Practice and Apply sections. The Practice sections are developed to explain the mathematical concepts new to the learner and provide examples and questions to have a go at. The grey boxes at the beginning of these pages are to aid parents’ understanding and to explain how the learning intentions link in with other parts of the programme.The Apply sections are developed to ensure learners can apply their new knowledge or skills to a problem-solving situation in a true-to-life scenario. Activities in the Apply sections are designed to broaden learners’ understanding of how maths relates to everyday life, and to provide enjoyment using their new maths skills.New to Adept: We have incorporated a programme provided by IXL (adapted to the New Zealand curriculum) into our Reaching Competence Programme. For a reasonable fee, IXL provides learners with a digital application to practice skills, and we, at Adept, approve of the way in which this has been developed. IXL has excellent graphics, provides great support statements (and certificates!!), but importantly, provides excellent instruction when learners are incorrect. The appropriate skills (by Year, Section, Number and Name) have been provided within the Practice and Apply Sections in this book, along with an overview page / check list for your use. How to use IXL along with the Reaching Competence Programme: Create a parent account with IXL for $13/mo. You will receive all correspondence direct to your chosen email for your child and you can access all the skills on the IXL app presented in this book (and others).Go to http://www.nz.ixl.com to purchase the app*.Adept supportIf you have any questions as you move through the programme, please don’t hesitate to email us at support@adepteducation.co.nzWe will be happy to support you in helping your learner’s confidence and maths ability grow, and are keen to hear any feedback you may have on our programme.*Adept Education does not have a business relationship with this company. We just endorse their product and think it will benefit learners.3

© 2020 Adept Education Limited Book 11. Knows the names of the main colours2. Able to sort by up to two attributes3. Able to match one to one4. Able to copy and create a simple repeating pattern5. Able to count to 106. Able to recognise numerals to 67. Able to count a set of objects to 6 8. Able to order numerals to 69. Able to give the number before and after in the range 0-6Book 21. Able to recognise numerals to 102. Able to count a set of objects to 10 3. Able to count backwards from 104. Able to recognise patterns to 55. Knows groupings within 56. Able to partition a set into two subsets7. Able to order numbers to 108. Able to give the number before and after up to 109. Able to recognise and copy number patternsBook 31. Able to solve addition and subtraction by counting all 2. Able to record using pictures, diagrams and words3. Able to use + and – to record number facts4. Able to recognise numerals to 205. Able to count forwards and backwards in range 0-206. Able to count a set of objects up to 207. Able to order numbers to 208. Able to give number before and after up to 209. Able to predict number patternsBook 41. Able to use a number line to solve addition and subtraction2. Able to solve addition and subtraction by counting on from the largest number3. Able to use the “=“ symbol in number sentences4. Knows groupings within 105. Able to skip count in twos and tens6. Able to recall doubles facts to 107. Able to recall facts with 5Overview of Books 1 to 4

© 2020 Adept Education Limited Apple AppsPatterns Colors& ShapesBy Classroom Focused SoftwareThe Classroom Focused Software apps are really great as they’re constructed by educators who understand the curriculum.Android Apps Kids Educational Games: Preschool and KindergartenBy ShubiThis app works well for younger and older learners and we think you’ll enjoy it beyond its use in this programme. It provides a set of interesting and nicely presented games beyond that of Math Kids. For Book 1, we’ll be using games in the first set (for toddlers). Apple and Android AppsSplash Learn: Educational GamesBy StudyPad, Inc.This app is well designed and aligned to our learning intentions, so it provides a good resource for moving through the books. There is a free version of this app, but it will be useful for many books to come if you want to take the plunge and spend the money. We suggest turning the music off.IXL New ZealandIXL has excellent graphics, provides great support statements (and certificates!!), but importantly, provides excellent instruction when learners are incorrect. AND it’s adapted to the New Zealand curriculum! See page 6 for more information.Colors& Shapes By RV AppStudiosThis app is attractively designed and appropriate for young learners. Before using this app, use the Settings icon to turn the music off. In Teaching Mode, tick all shapes. Choices are read aloud which is great for learning colour and shape names.Math Kids - Add, Subtract, Count and LearnBy RV AppStudiosThis app is attractively designed and appropriate for young learners aged about 3 to 5 years old. The beauty of this app is that it lets learners select each item and counts aloud in any order they select. The choices are also read aloud as they select them. 5* Adept Education does not endorse the apps recommended here. We have spent time researching apps, on both Apple and Android devices, to find those we feel best suit our programme for the least amount of expenditure to caregivers. It should be noted that Adept Education is not in any way in partnership with the owners of these applications, which may be updated without our knowledge. Please contact us at support@adepteducation.co.nz if you believe a recommended app has been changed significantly from what we describe here, or you can recommend apps you feel would better suit the needs of learners at this stage.Book 1 Apple and Android Applications*

© 2020 Adept Education Limited Learning Intention Date Sticker1.1Knows the names of the main colours1.2Able to sort by up to two attributes1.3Able to match one to one1.4Able to copy and create a simple repeating pattern1.5Able to count to 101.6Able to recognise numerals to 61.7Able to count a set of objects to 6 1.8Able to order numerals to 61.9Able to give the number before and after in the range 0-66Book 1 Learning Intention Sticker Chart

© 2020 Adept Education Limited 7LI Year K Year 11 G4 G52 P1 P2 P3 P4 P64 H1 H4 H2 H55 C1 C2 C4 C3 C57 B4 B58 P99 B6 B8 B7 B9for Book 1Summary of Activities

© 2020 Adept Education Limited 8Activities✓1.Sheet 1.04: Match the shapes. You will need your print-and-cut Shapes (White) to do this activity. Remember to discuss the shape names with your learner.2.Sheet 1.05: Match the cards by shape AND colour. You will need to print both sheets of the Shapes (Colours 1 & 2) to do this activity.3. nz.ixl.com: Year 1 – P1 Same. 4. nz.ixl.com: Year 1 – P2 Different. Learning Intention 1.2: Able to sort by up to two attributesBegin to encourage your learner to notice things that are similar and different. These skills will then be transferable to number attributes later.practicepracticepractice© 2023 Adept Education Limited

© 2020 Adept Education Limited 4/5.1Match your cut-out shapes (white) to the shapes below.Talk about the shape names and the number of sides where indicated.9432132165431234251squaretrianglehexagonpentagoncirclestarLearning Intention 1.2: Able to sort by up to two attributesSheet 1.04

© 2020 Adept Education Limited 4/5.1Match the cards below by shape AND colour (e.g., the BLUE square goes here, the green square does not). 10Learning Intention 1.2: Able to sort by up to two attributesSheet 1.05

© 2020 Adept Education Limited 11Activities✓1.Attribute investigation. Sort a set of objects by one attribute (e.g., colour), and then sort again by a second attribute (e.g., size). Find which objects can belong in just one set and which objects could belong in more than one set. Learners should justify their thinking for where they put each object and can create their own criteria for sorting. The Attribute Card Sets are available if resources cannot be found at home.2. Colors & Shapes. Choose the Matching game under the SHAPES header. This game asks learners to drag shapes to the correct location. Move on to the Tracing and thenBuilding games also, as these add value in terms of drawing shapes and more advanced puzzle solving. Shapes-Pop is a new addition that is super fun.3. nz.ixl.com: Year 1 – P3 Same and different. 4. nz.ixl.com: Year 1 – P4 Same shape. 5. nz.ixl.com: Year 1 – P6 Classify and sort. applyLearning Intention 1.2: Able to sort by up to two attributes© 2023 Adept Education Limited

© 2020 Adept Education Limited Here’s some other pages you’ll see in this book.www.adepteducation.co.nz

© 2020 Adept Education Limited 4/5.1Match your Number Cards to the numbers below.13Learning Intention 1.3: Able to match one to oneSheet 1.06

© 2020 Adept Education Limited 4/5.1Match your Number Cards to the numbers below.14Learning Intention 1.3: Able to match one to oneSheet 1.06

© 2020 Adept Education Limited 4/5.1Use your bead set to create the following patterns. Which bead colour should come next? Thread it on and then colour in the missing bead.15?Can you guess which colour bead should come next without using your beads first? Colour in the missing bead.??Learning Intention 1.4: Able to copy and create a simple repeating pattern???????Sheet 1.08

© 2020 Adept Education Limited 4/5.1Copy the shape patterns in the spaces provided. Name the shapes and ask an adult to write the shape names down for you. You could try writing the shape words too.16You draw:Learning Intention 1.4: Able to copy and create a simple repeating patternSheet 1.09

© 2020 Adept Education Limited 0.1Trace the numbers, then have a go on your ownYour turnOne more time000III22233344455566617Learning Intention 1.6: Able to recognise numerals to 6Sheet 1.11

© 2020 Adept Education Limited 4/5.1Draw lines between the numerals (0-6) and the boxes with the same number of circles.18Learning Intention 1.6: Able to recognise numerals to 6Sheet 1.12 0 1 2 3 5 2 5 1 4 4 6 6 1 2 0 1 3 5 6 05 4 4 6

© 2020 Adept Education Limited 4/5.119Learning Intention 1.8: Able to order numerals to 6Sheet 1.15 Lay your Number Cards out from 0 to 6 on a table or floor. Then use this order to put the correct number in each space to make a forwards sequence.

© 2020 Adept Education Limited 0.2Write the numbers in the correct order. You may like to cross out the numbers on the left as you go2 3 1 45 4 2 30431245132546321 3 25 3 4131201220Learning Intention 1.8: Able to order numerals to 6Sheet 1.17

© 2020 Adept Education Limited 4/5.1Print on white cardboard (160-200gsm)and cut out to make the shapes for Learning Intention 2.It is best to cut along the dotted lines, but if this is difficult cut them out as squares.Shapes (White)432132165431234251squaretrianglehexagonpentagoncirclestar

© 2020 Adept Education Limited 10987654321Print on white cardboard (160-200gsm)and cut out to make the UnifixRods for Learning Intention 5.UnifixRods

© 2020 Adept Education Limited Designed by Lucy Patston

© 2020 Adept Education Limited Certificate ofThis award gives credit tofor achieving Learning Intentions 1 to 4 for Book 1 of the Reaching Competence Mathematics Programme.Date:Signed:for achieving Learning Intentions 5 to 9 for Book 1 of the Reaching Competence Mathematics Programme.Certificate ofThis award gives credit toDate:Signed:

© 2020 Adept Education Limited For full content please purchase from the website.www.adepteducation.co.nz

© 2020 Adept Education Limited About the AuthorLucy Patston BA/BSc(Hons), PhDLucy has 20 years of teaching experience and a strong academic background. She has expertise in neuroscience, psychology and human development, and gained her doctorate for research investigating how childhood learning affects brain functioning in adulthood. Lucy is a mum to three very energetic children, all of whom have recently entered the school system. As a parent and a teacher, she understands how important it is for students to grasp key mathematical concepts and for parents to be actively engaged in this process where possible. Lucy was raised in New Zealand during a time when the school curriculum was taught very differently to today, and provides the Reaching Competence Programme direct to parents also. In the Programme, Lucy spends an equal amount of time helping parents understand the curriculum as she does students! She believes that if parents can communicate effectively with their children about the concepts they are currently learning in the classroom, then children will not only feel supported in their learning, but will be open to realising how important maths is in our everyday lives. When parents and teachers are using the same terminology and strategies to help their learners with numeracy, our kids are winning.26

© 2020 Adept Education Limited 27Overview of the Reaching Competence Mathematics ProgrammeAge and Stage Reaching CompetenceCurriculum Level School YearStudent Age Approx.Maths StageNumberMeasurement, Geometry & Statistics10-1 5-6 0-3 Books 1-4 Lapbooks Years 0-22 6-7 4 Books 5-723 7-85Books 8-10Lapbooks Years 3-4*4 8-9 Books 11-1435 9-106Books 15-17Lapbooks Years 5-6*6 10-11 Books 18-2047 11-127Books 21-23 Book 24*8 12-13Books 25-27*Book 28**Not yet publishedwww.adepteducation.co.nzHelping parents and tutors support their neurodiverse learners

© 2020 Adept Education Limited The learning intentions covered in this book are:• Knows the names of the main colours• Able to sort by up to two attributes• Able to match one to one• Able to copy and create a simple repeating pattern• Able to count to 10• Able to recognise numerals to 6• Able to count a set of objects to 6 • Able to order numerals to 6• Able to give the number before and after in the range 0-6Explore the mathematics curriculum with your child at your own pace with this guided,interactive programme.Includes information about the curriculum for parents and caregivers, learningintention checklist and sticker chart, suggested Apple and Android applications,worksheets, activities, board games, certificates and other print-and-cut resources.www.adepteducation.co.nzDownloadable books available at: adepted ucation