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Book 7 Reaching Competence

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Ages 6 7 Year 2 Follows Stage 4 of the New Zealand Mathematics Curriculum Created by Lucy Patston 2020 Adept Education Limited

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Overview of Books 5 6 and 7 Book 6 Basic numbers Able to count forwards and backwards in the range 0 100 Able to recognise 2 digit numbers Able to order numbers in the range 0 100 Able to give the number before and the number after in the range 0 100 Understands the pattern of teen numbers Solving problems addition and subtraction Able to solve addition and subtraction problems by counting on and back Able to record addition and subtraction using equations Able to use to solve equations Knows groupings within 5 and 10 Able to recall addition and subtraction facts to 10 Able to recall doubles and halves to 20 Able to recall addition and subtraction of teen numbers as 10 Book 7 Book 5 Halves and quarters Able to recognise symbols for half and quarter Able to find half and quarter of a shape Able to find half and quarter of a set Multiplication Understands basic concepts and symbols Able to solve multiplication problems by skip counting in twos fives and tens Working with tens Able to count on and back in tens from any number Knows the terms decade and century in relation to tens Knows the compatible numbers in tens to 100 Knows the number of tens and ones in any 2 digit number Able to use doubles to solve addition and subtraction to 20 Knows groupings within 20 2 2020 Adept Education Limited

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Book 7 Apple and Android Applications Apple Apps 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 the full version will be useful for many books to come Splash Math By StudyPad Inc Base 10 Blocks By Classroom Focused Software This is another simple and very elegant product by Classroom Focused Software This app allows students to pull tens and ones across to their place value positions to make a given number The beauty here is being able to choose which number Android Apps Splash Math By StudyPad Inc Kids Math Place Value By RamkyS Tech 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 the full version will be useful for many books to come The app is also available on computer This is a great app with lots to explore around place value We use a limited range of the games here but by all means let your learner investigate the other items 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 3 2020 Adept Education Limited

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Book 7 Learning Intention Sticker Chart Learning Intention 16 Understands basic concepts and symbols 17 Able to solve multiplication problems by skip counting in twos fives and tens 18 Able to count on and back in tens from any number 19 Knows the terms decade and century in relation to tens 20 Knows the compatible numbers in tens to 100 21 Knows the number of tens and ones in any 2 digit number 22 Able to use doubles to solve addition and subtraction to 20 23 Knows groupings within 20 4 2020 Adept Education Limited Date Sticker

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practice practice practice Learning Intention 16 Understands basic concepts and symbols This learning intention provides a review of the basic concepts and symbols we hope learners have picked up thus far We will recap on the meanings of the symbols x 1st 2nd 3rd and in case you re wondering is introduced later along with the concept of being equivalent to We will also ensure learners know the terms add subtract equals first second third half double quarter before after skip count compatible numbers teen number number sentence equation fact pattern and order Plus decade and century will be added later in this book Activities 1 Sheets 7 01 and 7 02 Brain Busters Symbol Smasher 2 Sheet 7 03 Fill in the symbol to balance the equation 3 Sheet 7 04 Investigating ordinal numbers 5 2020 2020 Adept Adept Education Education Limited Limited

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Learning Intention 16 Understands basic concepts and symbols 1 Match the maths symbol with the correct word half times x plus quarter minus equals Answer the questions as correct or false Correct or false 2 A pattern is something that repeats 3 Half of 8 is 4 4 1 1 is to add 5 Double 5 is 25 6 4 2 is to subtract 7 20 is a teen number 6 2020 Adept Education Limited Sheet 7 01

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Learning Intention 16 Understands basic concepts and symbols Answer the questions as correct or false Correct or false 1 2 4 6 8 10 is an example of skip counting 2 The number before 20 is 21 3 15 is an example of a teen number 4 The number after 12 is 13 5 Two compatible numbers to 10 are 2 and 3 6 4 8 12 is an example of an equation Correct or false 7 A pattern is a circular shape 8 The number before 17 is 16 9 4 8 12 is an example of a number sentence 10 7 and 3 are compatible numbers to 10 11 5 5 10 is a maths fact 12 7 5 8 2 is the order of digits from 2 to 8 7 2020 Adept Education Limited Sheet 7 02

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Learning Intention 16 Understands basic concepts and symbols Only the correct maths symbol will make an equation balance on either side of the sign 3 2 5 Using or x write the symbol that will balance the equation 10 5 15 8 8 4 12 4 4 5 5 5 25 4 2 10 3 7 8 2020 Adept Education Limited Sheet 7 03

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Learning Intention 16 Understands basic concepts and symbols Ordinal numbers are the words we use for ordering things like first second third fourth and so on We shorten these by writing the numeral and adding the last two letters of the full word like 1st 2nd 3rd 4th etc 1 Match the symbol with the correct ordinal number word 1st third 5th seventh 2nd fourth 6th sixth 3rd second 7th eighth 4th first 8th fifth 2 Use the instructions to colour the ice cream in Colour the fourth scoop light green Colour the 1st scoop red Colour the fifth scoop dark green Colour the 6th scoop light blue Colour the 2nd scoop orange Colour the seventh scoop dark blue Colour the 3rd scoop yellow Colour the eighth scoop purple 9 2020 Adept Education Limited Sheet 7 04

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apply Learning Intention 16 Understands basic concepts and symbols Activities 1 Sheets 7 05 and 7 06 Decide which symbols for the equation matches the story 2 Sheet 7 07 Brain Busters Brain Boggler 10 2020 2020 Adept Adept Education Education Limited Limited

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Learning Intention 16 Understands basic concepts and symbols Using or x decide which symbol matches the equation 3 Caitlin donated 12 biscuits to the school fair Jenny donated another 12 How many biscuits were for sale at the school fair 1 Miss Lewis gave her 6 students 3 coloured pencils each How many pencils were there altogether 6 3 18 12 2 Tony and his 2 friends each had 5 Lego men to play with How many Lego men did the boys have altogether 3x5 12 24 4 Ava had 2 teddy bears and Ella had 8 teddy bears How many teddy bears did the girls have altogether 15 2 11 2020 Adept Education Limited 8 10 Sheet 7 05

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Learning Intention 16 Understands basic concepts and symbols Using or x decide which symbol matches the equation 1 Mr Bainbridge has 20 lollies He gives all of them to his students How many lollies does Mr Bainbridge have left 20 3 Aiden has 12 toy soldiers He gives his friend 6 How many toy soldiers does Aiden have left 20 0 12 2 There are 4 drinking glasses in each box and I have 4 boxes How many glasses do I have altogether 4x4 6 6 4 Gemma made 3 Duplo towers out of 10 blocks each How many Duplo blocks did Gemma use altogether 16 3 12 2020 Adept Education Limited 10 30 Sheet 7 06

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Learning Intention 16 Understands basic concepts and symbols 1 Order the following numbers from smallest to largest 13 5 1 7 11 9 3 2 Which of the following animals is 4th in the line 3 Write the equation four plus three equals seven 4 Find half of each set a c b d 5 Continue the pattern 6 Add these numbers together 5 2 and 3 7 Write the number before 12 8 Write the number after 16 9 What is left if you subtract 5 from 10 10 Write the symbol for half and then quarter 13 2020 Adept Education Limited and Sheet 7 07

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

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Learning Intention 17 Able to solve multiplication problems by skip counting in twos fives and tens Revise your skip counting in twos fives and tens How many socks How many candles How many fingers 1 2 3 4 5 6 7 8 9 10 15 2020 Adept Education Limited Sheet 7 08

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Learning Intention 17 Able to solve multiplication problems by skip counting in twos fives and tens Find the answer by skip counting in twos and then fill in the sentence 1 The chocolate box had 2 layers in it There were 9 chocolates in each layer How many chocolates were there altogether 3 Daniel had 6 pairs of cherries How many individual cherries did he have 9 lots of 2 are ____ ____ lots of 2 are ____ 2 There were 5 pairs of shoes at the door How many individual shoes were there 4 The pet shop had 8 pairs of love birds How many individual birds were in the pet shop ____ lots of 2 are ____ ____ lots of 2 are ____ 16 2020 Adept Education Limited Sheet 7 09

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Learning Intention 18 Able to count on and back in tens from any number My washing machine always takes socks away from my washing The red one takes 10 socks away Each sock picture represents 10 socks How many socks will come out 40 40 10 30 30 70 1 100 2 10 80 3 50 4 How many socks will come out if I put in 5 66 10 7 38 10 6 25 10 8 92 10 17 2020 Adept Education Limited Sheet 7 14

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Learning Intention 19 Knows the number of tens in a decade The term century means a period of 100 years 2 3 4 5 6 7 8 9 10 Two lots of 10 years Two decades etc 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 92 93 94 95 96 97 98 99 100 91 One lot of 100 years One century 1 One lot of 10 years One decade 2 lots of 100 years Two centuries 191 192 193 194 195 196 197 198 199 200 How many centuries are represented by these numbers 1 400 years centuries 2 700 years centuries 3 200 years centuries 4 500 years centuries How many centuries and decades are there 5 250 years centuries and decades 6 980 years centuries and decades 7 630 years centuries and decades 18 2020 Adept Education Limited Sheet 7 25

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Learning Intention 20 Knows the compatible numbers in tens to 100 Neeta and Mei Hsin s teacher has set them the task to find out all the compatible numbers to 10 They re going to need your help Count out 10 counters and place them all on the left side of the oval This is the grouping 10 0 see table Next move one counter to the right side of the oval This is the grouping 9 1 see table Keep moving one counter to the right at a time until you get to the last grouping 0 10 Record your discovery in the table below How many compatibles were there Different groupings within 10 10 0 9 1 8 19 2020 Adept Education Limited 0 10 Sheet 7 26

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Learning Intention 20 Knows the compatible numbers in tens to 100 Point to the answers in the box below as fast as you can You can check the equations off as you go 1 4 10 2 100 40 10 10 3 3 10 8 11 1 9 4 100 80 12 90 100 5 5 10 13 100 60 6 50 50 14 6 10 7 10 7 15 80 20 8 30 100 16 100 20 9 100 70 70 60 7 50 2 4 8 3 100 6 90 10 5 40 80 20 30 20 2020 Adept Education Limited Sheet 7 29

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Learning Intention 21 Knows the number of tens and ones in any 2 digit number Look at the pictures of the Base 10 tens rods and ones units Count the tens and the ones and fill in the table to see what number the picture shows Tens rods Ones 1 How many tens How many ones What s the number 4 6 46 2 3 4 5 21 2020 Adept Education Limited Sheet 7 31

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Learning Intention 22 Able to use doubles to solve addition and subtraction to 20 Fill in the halves below 1 of 4 is 4 of 10 is 7 of 16 is 2 of 6 is 5 of 12 is 8 of 18 is 3 of 8 is 6 of 14 is 9 of 20 is To find the answer to 15 7 you can use 7 7 1 8 1 1 2 3 4 5 6 7 8 2 9 3 4 5 6 7 8 10 11 12 13 14 15 How can you use halves to work these out 14 7 1 10 15 7 I can use 11 13 6 I can use The answer is 12 11 5 I can use The answer is 13 17 8 I can use The answer is 14 15 7 I can use The answer is 15 19 9 I can use The answer is 16 9 4 I can use The answer is 22 2020 Adept Education Limited The answer is 8 Sheet 7 38

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Learning Intention 22 Able to use doubles to solve addition and subtraction to 20 Tens frames are a good way to visualise additions to 10 You can draw arrows or colour in one tens frame to see how it fills up Draw counters into these tens frames to match the numbers above Then write the number sentence below and solve it 1 4 4 2 5 5 3 3 3 4 4 8 4 5 3 5 5 4 23 2020 Adept Education Limited 6 6 3 Sheet 7 35

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Learning Intention 23 Knows groupings within 20 A family of facts is a group of facts that use the same numbers whether we are adding or subtracting Here s an example 18 2 2 18 20 18 2 20 20 2 18 20 18 2 20 Complete the family of facts for each family 20 7 13 1 17 2 3 20 20 15 3 5 24 2020 Adept Education Limited Sheet 7 41

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Sheet 7 01 1 plus minus x times equals half quarter 2 Correct 3 Correct 4 Correct 5 False Double 5 is 10 6 False 4 2 would be to subtract 7 False teen numbers have teen on the end although we accept 11 and 12 as teen numbers as they are 10 numbers Sheet 7 02 1 2 3 4 5 6 7 8 9 10 11 12 Correct False 19 Correct Correct False 2 and 3 are compatible to 5 Correct False a pattern is something that repeats Correct Correct Correct Correct False to order these numbers would be 2 5 7 8 Sheet 7 03 Sheet 7 07 continued All green boxes are symbols All yellow boxes are symbols All orange boxes are x symbols All blue boxes are symbols 5 Diamond square circle circle 6 5 2 3 10 7 11 8 17 9 5 10 and Sheet 7 04 1 1st first 2nd second 3rd third 4th fourth 5th fifth 6th sixth 7th seventh 8th eighth 2 Sheet 7 05 1 2 3 4 Sheet 7 08 1 2 3 4 5 10 4 14 40 20 6 7 8 9 10 Sheet 7 09 6 x 3 18 3 x 5 15 12 12 24 2 8 10 1 2 3 4 9 lots of 2 are 18 5 lots of 2 are 10 6 lots of 2 are 12 8 lots of 2 are 16 Sheet 7 06 1 2 3 4 20 20 0 4 x 4 16 12 6 6 3 x 10 30 Sheet 7 10 1 2 3 4 4 lots of 5 are 20 7 lots of 5 are 35 3 lots of 5 are 15 6 lots of 5 are 30 Sheet 7 07 1 2 3 4 1 3 5 7 9 11 13 Seal 4 3 7 a b c d Half of 6 is 3 Half of 4 is 2 Half of 2 is 1 Half of 8 is 4 25 2020 2020 Adept Adept Education Education Limited Limited Sheet 7 11 1 2 3 4 2 lots of 10 are 20 6 lots of 10 are 60 9 lots of 10 are 90 3 lots of 10 are 30 45 25 90 40 70

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Print on white cardboard 160 200gsm and cut out to make loop cards Cut only where you see DOTTED lines Loop Cards 0 20 GO I am 3 and my partner is 10 I am 2 and my partner is 13 I am 5 and my partner is 11 I am 19 and my partner is 17 I am 10 and my partner is 18 I am 7 and my partner is 15 I am 9 and my partner is 1 I am 0 and my partner is 2020 Adept Education Limited

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2020 Adept Education Limited Designed by Lucy Patston Roll the dice multiply your roll by 10 and put a counter on the correct Easter egg The first person to collect all their Easter eggs wins Instructions Two 1 6 dot dice 12 counters for each player You will need

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

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About the Author Lucy Patston BA BSc Hons PhD Lucy 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 29 2020 Adept Education Limited

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Explore the mathematics curriculum with your child at your own pace with this guided interactive programme This book includes Learning Intentions 16 through to 23 of 23 for this level Includes information about the curriculum for parents and caregivers learning intention checklist worksheets activities board games certificates and other printand cut resources The learning intentions covered in this book are Understands basic concepts and symbols Able to solve multiplication problems by skip counting in twos fives and tens Able to count on and back in tens from any number Knows the terms decade and century in relation to tens Knows the compatible numbers in tens to 100 Knows the number of tens and ones in any 2 digit number Able to use doubles to solve addition and subtraction to 20 Knows groupings within 20 Online and printed versions available at www adepteducation co nz adepteducation 2020 Adept Education Limited