Number Knowledge Long Term Planners FNWS BNWS Fractions Place Value & Grouping Basic Facts Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 1 FNWS BNWS Stage 1: One to One Counting Identify all of the numbers in the range 0–10. Say the forwards and backwards number word sequences in the range 0-10. Teaching Number Knowledge (Book 4) Number mat and Lily Pads (2) Tens Frames (2) Pipe Cleaner Numbers (4) Number Fans (4) BSM 2-1-23, 2-1-41, 2-1-42, 2-1-82,2-3-6, 2-3-82, 3-1-7, 31-23, 3-3-6, 3-3-7, 3-3-46, 4-1-3, 4-1-4, 4-1-6, 4-1-43, 4-1-46, 4-1-49, 4-1-50, 4-1-82, 4-1-83, 4-3-8, 4-3-9 Teaching Number Knowledge (Book 4) Counting (11) Number Line Flips (15) BSM 2-1-1, 2-1-2, 2-1-4, 2-1-21,2-1-84, 2-3-8, 2-3-24, 3-12,3-1-21, 3-1-22, 3-3-22, 4-1-48, Say the number before and after a given number in the range 0–10. Order the numbers in the range 0-10. Instantly recognise patterns to five, including finger patterns. Teaching Number Knowledge (Book 4) Fabulous Fives (22) FNWS BNWS Stage 2/3: Counting From One Identify numbers in the range 0–20, at least. Count forwards and backwards from 0 - 20 Teaching Number Knowledge (Book 4) Number mat and Lily Pads (2) BSM 2-1-5, 6-1-7, 6-1-9, 6-3-2, 6-3-3, 6-3-4, 6-3-5, 6-3-6, 63-7,6-3-22, 6-3-43, 6-3-44, 6-3-45, 6-3-46, 6-3-49, 63-50, 6-3-81, 6-3-83, 7-1-1, 7-1-2, 7-1-41,7-1-42, 7-143, 7-3-4, 7-3-9, 7-3-45, 7-4-46,8-1-4, 8-1-43, 8-1-44, 8-1-53, 11-1-6, 11-1-47, 11-1-82 Teaching Number Knowledge (Book 4) Counting (11) Number Line Flips (15) BSM 4-1-22, 4-3-23, 4-3-24, 4-3-25, 4-3-44, 4-3-45, 4-3-46, 4-3-47, 4-3-48, 4-3-51, 4-3-81, 4-3-84, 5-1-6, 5-1-7, 5-1-8, 5-1-21, 5-1-22, 5-1-23, 5-1-42, 51-43, 5-1-45, 5-1-45, 5-1-46, 5-1-47, 5-1-82, 5-1-83, 53-4, 5-3-5, 5-3-7, 5-3-8, 5-3-22, 5-3-23, 5-3-45, 5-3-46, 5-3-49, 5-3-50, 5-3-52, 5-3-53, 5-3-54, 5-3-55, 5-3-82, 5-3-84,6-1-21, 6-1-5, 6-1-6, 6-1-7, 6-1-42, 6-1-44, 6-1-45, 6-1-46, 6-1-81, 6-1-82, 6-3-3, Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 2 Order numbers in the range 0–20, at least. Instantly recognise patterns to ten (doubles and five based), including finger and tens frame patterns. 7-1-1, 7-1-41, 7-1-81, 7-3-4, 10-3-7, 10-3-48, 10-3-49, 10-3-50, 10-3-51 Teaching Number Knowledge (Book 4) Counting (11) Number Line Flips (15) BSM 7-1-2, 7-1-3, 7-1-43, 7-1-44, 7-1-45, 7-1-46, 7-1-82, BSM 7-1-4, 7-1-5, 7-1-46, 7-1-48, 7-1-81, 7-1-82, 7-3-3, 73-44, 8-1-6, 8-3-3, 8-3-4, 8-3-5, 8-3-44, 8-3-45, 8-3-46 Teaching Number Knowledge (Book 4) Fabulous Fives: page 23 BSM 7-1-49, 7-1-50, 7-1-51, 7-1-83, 8-1-5, 8-1-7, 8-1-46, 81-47, 8-1-48, 8-1-49, 8-1-82, 9-1-6, 9-1-12, 9-1-13, 91-43, 9-1-44, 9-1-50, 9-1-51, 9-1-52, 9-1-53, 9-1-54, 91-85, 9-1-86 Recall facts within five and doubles to ten. FNWS BNWS Stage 4: Advanced Counting Identify all of the numbers in the range 0–100 at least. Say the forwards and backwards number word sequences in the range 0–100, at least, connecting that the result of adding or taking one more/less object to a set is given by the next/previous counting number. Order numbers in the range 0–100, at least. Say the forwards and backwards skip-counting sequences in the range 0-100 for twos, fives, and tens. Teaching Number Knowledge Number mat and lily pads (2) “Teen” and “Ty” numbers (3) Number hangman (5) BSM 8-1-45, 8-1-81, 9-1-4, 9-1-5, 9-1-6, 9-1-42, 9-1-82, 12-1-1 Teaching Number Knowledge Number fans (4) Counting (11) Lucky dip (13) Using calculators (14) Hundreds Boards & Thousands Boards (16) BSM 9-1-4, 9-1-42, 9-3-9 Teaching Number Knowledge (Book 4) Card ordering (12) Arrow cards (13) Rocket- where will it fit (15) Number line flips (15) Squeeze – Guess my number (15) Bead strings (17) Who is the richest? (18) Figure It Out N 2.1 (1) The mail gets through N 2-3 (1) Happy hundreds BSM 9-3-51, 9-3-52, 10-1-4, 11-1-4, 11-1-5, 11-1-43, 11-144, 11-1-45, 11-1-46, 11-3-6, 11-3-7, 11-3-46, 11-347, 11-3-48, 11-3-83 Teaching Number Knowledge (Book 4) Counting (11) Skip-counting on the Number Line (11) Beep (12) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 3 Using Calculators (14) BSM 10-1-4, 10-1-44, 10-1-43 Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 4 FNWS BNWS Stage 5: Early Additive Part-Whole Identify all of the numbers in the range 0-1000 Say the forwards and backwards number word sequences by ones, tens, and hundreds in the range 0-1000. Say the number 1, 10, or 100 more or less than a given number in the range 0-1000. Order numbers in the range 0-1000. Say the forwards and backwards skip-counting sequences in the range 0-100 for twos, threes, fives, and tens at least. Identify all of the numbers in the range 0 - 1 000 000. Say the forwards and backwards whole number word sequences by ones, tens, hundreds, and thousands in the range 0 – 1 000 000, including Teaching Number Knowledge (Book 4) Number fans (4) Place Value Houses (5) Number Hangman (5) Figure It Out N 2-3 What’s my number? (3) N 2-3 Digit Time (5) N 2-3 Going up (8) NS 7/8 L.1 Aiming High (4) Teaching Number Knowledge (Book 4) Number fans (4) Counting (11) Skip counting on a number line (11) Lucky dip (13) Using calculators (14) BSM 10-3-9, 10-3-55, 10-3-56, 12-3-3, 12-3-4, 12-3-81, 123-82 Figure It Out N 2.2 (2)Fan-tastic numbers Teaching Number Knowledge (Book 4) Card ordering (12) Arrow cards (13) Rocket- where will it fit (15) Number line flips (15) Squeeze – Guess my number (15) Hundreds and thousands book (16) Bead strings (17) Who is the richest (18) BSM 10-3-86, 11-3-3, 11-3-42 Figure It Out N 2-3 On the cards (7) NS 7/8 L.1 Up the ladder (15) Teaching Number Knowledge (Book 4) Counting (11) Skip counting on the number line (11) Using calculators (14) Figure It Out N 2-3 (16) Stepping Out BSM 1-3-12, 11-3-13, 11-3-54, 11-3-55, 11-3-85, 12-3-13 Teaching Number Knowledge (Book 4) Number fans (4) Place value houses (5) Number hangman (5) Arrow cards (13) Figure It Out N3 Number stretches (2) NS7/8 L.1 Aiming High (4) N7/8 L.2 Expanding your Horizons (16) N 7/8 L.1 Space Zapper (8) Teaching Number Knowledge (Book 4) Number fans (4) Counting (11) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 5 finding numbers that are 10, 100, and 1 000 more or less than a given number Skip counting on a number line (11) Lucky dip (13) Using calculators (4) Teaching Number Sense and Algebraic Thinking (Book 8) Whole Number rounding (19) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 6 FNWS BNWS Stage 6: Advanced Additive Part-Whole Order whole numbers in the range 0-1 000 000. Teaching Number Knowledge (Book 4) Card ordering (12) Arrow cards (13) Rocket- where will it fit (14) Number line flips (15) Squeeze – Guess my number (15) Hundreds and thousands book (16) Bead strings (17) Who is the richest (18) Figure It Out N 3.2 Playing for points (4) N 7/8 4.3 Exploration to Earth (22) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 7 Grouping and Place Value: Stage 4 Advanced Counting Recall the number of tens within decades, eg 8 tens in eighty Recall the decades that add to 100, e.g. 60 + 40 = 100. Teaching Number Knowledge (Book 4) Zap (26) Number Boggle (33) Figure It Out N 2.2 Flexible fingers (8) BF 2-3 One liner (1) BF 2-3 Fizzing it up (5) BSM: 9-1-9, 9-1-10, 9-1-47, 9-1-48, 10-1-5, 10-1-45, 10-1-46, 11-1-12 BSM: 9-3-8, 9-3-49, 9-3-50 Grouping and Place Value: Stage 5 Early Additive Part-Whole Recalls groupings within 100, e.g. 49 and 51 (particularly multiples of 5 e.g. 25 & 75) Recall the number of groupings of tens that can be made from a three-digit number Recall the number of tens and hundreds in centuries and thousands. Round three-digit whole numbers to the nearest 10, or hundred. Recall the multiples of 100 that add to 1000, e.g. 400 and 600. Teaching Number Knowledge (Book 4) Traffic Lights (25) Zap (26) Nudge (24) BSM 11-3-4, 11-3-5, 11-3-43, 11-3-44, 11-3-45, 11-3-81, 11-3-82, 12-1-1, 12-1-2, 12-1-41, 12-1-82, 12-1-83 Figure It Out N 2.1 Different Strokes (2) N 2.1 Mighty Marty (6) N 2.2 All that Glitters (3) N 2.2 Leapfrog (12) N 2.2 Hitting 100 (4) N 2-3 Putting numbers to work (2) Teaching Number Knowledge (Book 4) Slavonic Abacus (23) Tens and ones (23) Teaching Number Knowledge (Book 4) Close to 100 (24) Tens in hundreds and more (27) BSM 12-1-6, 12-1-46 BSM 12-1-3, 12-1-4, 12-1-42, 12-1-43 Grouping and Place Value: Stage 6 Advanced Additive PW Recall groupings within 1000, e.g., 240 + 760. Recall how many tens and hundreds there are in four-digit numbers. Teaching Number knowledge (Book 4) Traffic Lights (25) Zap (26) Figure It Out N 3.3 Crazy Compatibles (1) NS 7/8 L.1 Writing 1000 (14) N 7/8 L.1 Jungle land (7) Teaching Number knowledge (Book 4) Close to 100 (24) Tens in hundreds and more (27) Figure It Out Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 8 Round whole numbers to the nearest ten, hundred, or thousand Read decimals with tenths, count forwards and backwards in tenths, order decimals with tenths. Recall the number of tenths and hundredths in decimals to two places Round decimals with up to two places to the nearest whole number N 3.3 Banking Issues (3) N 3-4 Money everywhere (1) NS 7/8 1 Aiming High (4) Teaching Number knowledge (Book 4) Swedish rounding (28) Figure It Out BF 3 Steeplechase (23) Teaching Number Knowledge (Book 4) Card ordering (12) Arrow cards (13) Rocket- where will it fit (14) Number line flips (15) Squeeze – Guess my number (15) Teaching Number Knowledge (Book 4) Reading decimal fractions (8) Figure It Out N 7/8 4.2 Getting the point (20) N3.1 Dealing with decimals (16) Figure It Out N3.1 Rounding up or down (17) Grouping and Place Value: Stage 7 Advanced Multiplicative PW Say the forwards and backwards decimal word sequences by thousandths, hundredths, tenths, ones, tens, etc, starting at any whole number. Say the number one-thousandth, one-hundredth, one-tenth, one, and ten, etc, before and after any given whole number. Order decimals to three places. Recall the number of groupings of tens, hundred, and thousands that can be made from a number of up to seven digits. Round whole numbers and decimals, with up to two places, to the nearest whole number, or tenth. Teaching Number knowledge (Book 4) Number fans (4) Place value houses (5) Number hangman (5) Skip counting on the number line (11) Lucky dip (13) Hundreds Boards & thousands board (16) Figure It Out N 3-4 Changes, highs and lows (6) Teaching Number knowledge (Book 4) Reading decimal fractions (8) Card ordering (12) Arrow Cards (13) Rocket- Where will it fit? (15) Squeeze- Guess my number (15) Bead strings (17) Who wins? (20) Figure It Out N 7/8 4.3 Going for gold (12) L7/8 L.1 Up the Ladder (15) Teaching Number knowledge (Book 4) Number hangman (5) Tens in hundreds and more (27) Estimating (25) Zap (26) Using calculators (14) Figure It Out N 7/8 4.2 A million grains of rice (4) Teaching Number knowledge (Book 4) Swedish Rounding (28), Figure It Out N 3-4 .3 Paddle on (6) N 7/8 4.5 Body mass (10) NS 7/8 Number scavenge (6), Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 9 Recall the number of tenths, hundredths, and thousandths in numbers of up to three decimal places Recall what happens when a whole number or decimal is multiplied or divided by the power of 10 NS 7/8 2 Time versus money (7) Teaching Number Knowledge (Book 4) Measurement and Zeros (10) Tens in hundreds and more (27) Teaching Number Knowledge (Book 4) Zap (26) Digits on the move (29) Figure It Out N 7/8 4.2 L Placing Points (18) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 10 Basic Facts: Stage 4 Advanced Counting Recall groupings to ten, e.g. 6 + 4 = 10 Recall the teen facts, e.g. 10 + 8 = 18. Recall addition facts to 10, e.g. 4 + 3 = 7 Recall the doubles and halves to 20, e.g. 7 + 7 = 14, half of 18= 9 Teaching Number Knowledge (Book 4) Up to ten (32) Tens frames again (34) Patterns to ten (34) Addition Flash Cards (37) BSM: 9-1-9, 9-1-10, 9-1-47, 9-1-48, 9-3-11, 9-3-12, 9-3-54, 10-1-3, 10-3-46, 11-3-8, 11-3-9, 11-3-49, 11-3-50, 11-3-51 Figure It Out NS&AT 2-3.1 (22) The No Name Game N2.1 (4) Shaker Makers Teaching Number Knowledge (Book 4) Double Trouble (32) Figure It Out N 2.2 Helping hands (3) BSM: 10-1-6, 10-1-47, 10-1-48, 10-1-83 Basic Facts: Stage 5 Early Additive Part-Whole Recall groupings of twos that are in numbers up to 20 Recall addition facts to 20 and subtraction facts to 10 Teaching Number Knowledge (Book 4) Number boggle (33) Tens frames again (34) Number mats and number fans (34) Bridges (35) Bowl a fact (35) Loopy (37) Addition flash cards (37) BSM 9-3-6, 9-3-7, 9-3-48, 9-3-83, 9-3-84, 10-3-6, 10-3-8, 10-3-10, 10-3-46, 10-3-47, 10-3-52, 10-3-53, 10-3-54, 11-1-8, 11-1-9, 11-1-52, 11-1-53, 11-1-83, 11-1-84, 11-3-52, 11-3-53, 11-3-84, 12-1-7, 12-1-52, 12-1-85, 12-3-2, 12-3-45, 12-3-46, 12-3-47, 12-3-8, 12-3-52, 12-3-53, 12-3-85 Recall groupings of two in numbers to 20, groupings of five in numbers to 50, and groupings of 10 in numbers to 100. Automatically recall the multiplication and Teaching Number Knowledge (Book 4) Beep (12) BSM 8-1-8, 8-1-50, 9-3-10, 9-3-53 Figure It Out N 2.1 Mighty Marty (6) N 2.1 Snakes in the Grass (7) N2.1 Birthday Time (10) N 2.1 Frogs Frolic (22) N 2.2 On Target (11) N 2.2 Flexible Fingers (8) NS &AT 1-3.2 Make 28 (14) BF 2-3 One Liner (1) BF 2-3 Quick add (3) BF 2-3 Fizzing It up (5) BF 2-3 Add it on (6) BF 2-3 Adding Adders (7) BF 2-3 Twenty seven (15) BF 2-3 Stay on the line (19) BF 2-3 Testing triangles (21) BF 3 Beat yourself down (2) BF 3 Give or take (5) BF 3 Four in a row (7) BF 3 Array puzzle (8) BF 3 Digital Delights (13) N 2-3 Going down (9) N 3.3 Skimming stones (4) Teaching Number Knowledge (Book 4) Skip counting on a Number Line (11) Beep (12) Fabulous fives (22) Tens in hundreds and more (27) BSM 9-1-7, 9-1-8, 9-1-45, 9-1-46, 9-1-83, 9-1-84, 12-1-5, 12-1-44, 12-1-45, 12-1-84 Figure It Out Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 11 division facts for the multiples of 2, 5, and 10. Teaching Number Knowledge (Book 4) Number mats and number fans (34) Bowl a fact (35) In and out (36) Multiplication flash cards (38) BF 2-3 Heading for Home (11) BF 2-3 Domino Facts (13) BF 2-3 Six Shooters (24) BF 3 Dicey Dabble (20) N2-3 High Flyers (14) N7/8.1 Sums and Products (12) Basic Facts: Stage 6 Advanced Additive Part-Whole Recall addition and subtraction facts to 20. Recall groupings of twos, threes, fives, and tens that are in numbers to 100 and the resulting remainders Recall all the basic multiplication facts to 10 x 10 and the division facts for 2, 3, 5, 10 x tables Teaching Number Knowledge (Book4) Number mats and number fans (34) In and out (36) Multiplication madness (36) Loopy (37) Multiplication flash cards (38) Figure It Out NS&AT 2-3.1 Total Recall (14) NS&AT 3-4.1 Wheeling and Dealing (22) NS&AT 7/8 L1 Splitting Numbers (2) Teaching Number knowledge (Book 4) Number boggle (33) Tens frames again (34) Number mats and number fans (34) Bowl a fact (35) Loopy (37) Addition flash cards (37) Figure It Out BF 2-3 Takeaway numbers (12) BF 3-4 Bunches (1) BF 3-4 Diamond dazzle (4) BF 3-4 Face totals (18) BF 3-4 Staircase Capers (19) N2-3 Going Down (9) N7/8.1 King of the Castle (15) NS & AT 2-3.1 Wrapping up Wontons (1) NS&AT 2-3.1 50 First (4) NS&AT 2-3.2 (1) Quick Thinking Teaching Number Knowledge (Book 4) Skip counting on a number line (11) Beep (12) Using calculators (24) Estimation (25) Dividingthink about multiplying first (37) Figure It Out NS 7/8 L.1 Flying Feet (9) N 7/8 L.1 That’s odd (2) N 7/8 L.1 Fives and tens (4) N 7/8 L.1 Firewood Fever (16) Figure It Out BF 2-3 Dicing Times (2) BF 2-3 31 or None (4) BF 2-3 Times Up (8) BF 2-3 An apple a day (9) BF 2-3 Heading for Home (11) BF 2-3 Secret Codes (17) BF 2-3 Magnificent Multiples (18) BF 2- Loopy (23) BF 2-3 (24) Six shooters BF 3 Factor puxxle (11) BF 3 Stars and Students (12) BF 3 Digital Delights (13) BF 3 Almost Squares (15) BF 3 (20) Dicey Dabble BF 3 Steeplechase (23) BF 3-4 (12) A matter of factor BF 3-4 (15) How many factors? Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 12 BF 3-4 To and fro (16) N 2-3 Stockpot powers (13) N 2-3 High Flyers (14) N 2-3 Stepping Out (16) N 3.2 Movie Maths (6) N 3.3 Easy Nines (14) N7/8. L1 Fives and Tens (4) N 7/8 L.1 Sums and products (12) N 7/8 L.1 Container contents (13) N 7/8 L.2 Table tricks (2) N7/8 L2 Factor Fun (5) N7/8 4.3 Digit Challenge (18) N7/8 4.3 Cover Up (9) Basic Facts: Stage 7 Advanced Multiplicative Part-Whole Recall all the multiplication AND division facts to 10 x 10, Teaching Number Knowledge (Book 4) Dividingthink about multiplying first (37) Multiplication flash cards (38) Loopy (37) Multiplication madness (36) In and out (36) Bowl a fact (35) Beep (12) Figure It Out BF 2-3 Dicing times (2) BF 2-3 Secret Codes (17) BF 2-3 A sticky problem (20) BF 2-3 Division Revision (22) BF 2-3 Loopy (23) BF 3 Factor puzzle (11) BF 3 Stars and students (12) BF 3 Almost Squares (15) BF 3 Multiple Mirrors (21) BF 3 It Remains to be Seen (22) BF 3-4 (10) Matrix N 2-3 High flyers (14) N 2-3 Wheel and deal (15) N 3.2 Movie maths (6) N 3.3 Easy nines (14) N 7/8 4.3 (9) Cover up N 7/8 4.5 Remainder Bingo (2) N 7/8 4.5 Factorials (4) N 7/8 4.5 Order of Operations (6) N7/8 4.5 Operations Checker (7) N7/8 4.6 Pascals Patterm (9) NS&AT L1 Hit The Target (7) NS&AT L1 Ways to 43 (13) Recall divisibility rules for 2, 3, 5 and 10 Figure It Out NS 7/8 4.2 Divide and Conquer (2) NS & AT 3-4. 2 Factor patterns (13) Recall fraction decimal percentage conversions for halves, thirds, quarters, fifths, and tenths Teaching Number Knowledge (Book 4) Equivalent fractions, decimals and percentages (21) Bead strings (17) Figure It Out N3.1 (13) Friendly Fractions N 3-4 (11) A long look at decimals N 3-4.2 (15) Fraction distraction N 3-4.3 (24) Hidden help BF 3-4 (21) Mystery decimals Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 13 Identify factors of numbers to 100 (including prime numbers) Identify common multiples of number to 10 BF 3-4 (24) Decimal Spotting N 7/8 L2 (9) Seeing Double N 7/8 L2 (20) Getting to the point Figure it Out BF 3-4 Matrix (10) BF 3-4 A matter of facts (12) BF 3-4 How many factors (15) BF 3-4 To and fro (16) BF 3-4 Primates (22) N3-4.2 Oceans Apart (4) N7/8 4.4 In your Prime (1) N7/8 4.6 Digital Delights (2) N7/8 4.6 Powerful thought (7) NS & AT 3-4.1 The Great Factor Hunt (2) NS & AT 3-4.1 Factoring factory (4) NS 7/8 L1 Flying feet (9) NS 7/8 4.2 Hundreds (3) NS 7/8/ 4.2 Four 4’s (5) Figure It Out BF 3-4 Matrix (10) N7/8 4.5 Plastic fantastic (17) Basic Facts: Stage 8 Advanced Proportional Part-Whole Know simple powers of numbers to 10, e.g. 24 = 16, 53 = 125 Know the divisibility rules for 2,3,4,5,6,8,9 and 10, e.g. 568 is divisible by 4 since 68 is divisible by 4 Identify highest common factors and least common multiples, e.g. Highest common factor of 48 and 64 is 8 Recall fraction decimal percentage conversions for fractions in common use, e.g., eighths, tenths, twentieths Figure It Out N7/8 4.4 Family Trees (13) N7/8 4.4 Building Squares (14) N7/8 4.4 Calculator Power (16) N7/8 4.4 Cubic Capacity (17) N7/8 4.4 Growing Pains (18) N7/8 4.4 Fold and Crease (19) N7/8 4.4 Pip’s Pay (20) N7/8 4.4 Starting with Stamps (22) N7/8 4.4 Superior Side Lengths (24) N7/8 4.6 Square Sums (1) N7/8 4.6 Powerful Thought (4) N7/8 4.6 Sunburst (5) N7/8 4.6 Factor Towers (7) N7/8 4.6 Tiling Teasers (8) N7/8 4.6 Squaring Off (18) N7/8 4.6 Alien Bacteria (20) NS&AT3.1 The Power of Powers (14-15) Figure It Out N3.3 Arcade Adventure (18) N3-4 Digital Diemmas (19) N7/8 4.3 Digit Challenge (18) Teaching Number Knowledge (Book 4) Equivalent fractions, decimals and percentages (21) Difficult fractions to percentages (21) Figure It Out N 3-4.1 Bottle ups (10) NS 7/8 4.2 Pizza pieces (19) N 7/8 4.5 Percentage passes (22) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 14 Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 15 Fractions: Stage 4 Advanced Counting Developing common vocabulary for fractions, particularly halves, quarters, thirds, fifths. Extending this to eighths, sixteenths, tenths, sixths, to develop understanding of ‘-ths’. Various classroom objects including paper strips, squares, rectangles, triangles and circles, glasses of water, amounts of play dough, etc. Identify the symbols for halves, quarters, thirds, and fifth Teaching Number Knowledge (Book 4) Fraction pieces (6) Creating fractions (6) BSM 9-2-18, 9-2-61,9-2-85, 11-2-59 Fractions: Stage 5 Early Additive Part-Whole Identify the symbols for halves, quarters, thirds, fifths, and tenths including fractions greater than 1. Order fractions with like denominators, e.g. 1/4. and 2/4. Order unit fractions for halves, quarters, thirds, fifths, and tenths Teaching Number Knowledge (Book 4) Fraction pieces (6) Creating fractions (6) More geoboard fractions (7) Non-unit fractions (7) BSM 12-3-51, 12-3-83, 12-3-84 Figure It Out N2.1 Puzzling Pieces (21) Teaching Number Knowledge (Book 4) Fractions pieces (6) Teaching Number Knowledge (Book 4) Fractions pieces (6) Who has more cake? (18) Super liquorice (19) Card ordering (12) Figure It Out N7/8 L1 Chocolate Chip Feast (22) Fractions: Stage 6 Advanced Additive Part-Whole Identify decimals to three places Identify symbols for any fraction, including tenths, hundredths, thousandths, and those greater than 1 Teaching Number Knowledge (Book 4) Number fans (4) Place value houses (5) Number hangman (5) Reading decimals fractions (8) More reading of decimal fractions (9) Linking money and decimal fractions (9) Arrow cards (13) Number line flips (15) Squeeze – guess my number (15) Figure It Out N 2-3 (24) Job sharing Teaching Number Knowledge (Book 4) Fraction pieces (6) Creating fractions (6) More geoboard fractions (7) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 16 Say the forwards and backwards word sequences for halves, quarters, thirds, fifths, and tenths Non-unit fractions (7) Packets of lollies (8) Bead strings (17) Teaching Number Knowledge (Book 4) Skip Counting on the number line (11) Beep (12) Fractions: Stage 7 Advanced Multiplicative Part-Whole Order decimals to three places, for examples, 6.25 and 6.3 Order fractions, including halves, quarters, thirds, fifths, and tenths Recall equivalent fractions for halves, thirds, quarters, fifths, and tenths with numbers to 100 and with 1 000 Teaching Number Knowledge (Book 4) Number fans (4) Place value houses (5) More reading of decimal fractions (9) Who wins? (21) Figure It Out N 3 Decimal day (15) N 3.2 Jumping along (20) N 7/8 L.2 Expanding with decimals (17) N 7/8 4.3 Awesome Athletes (13) N 7/8 4.5 Give It a Heave (3) N 7/8 4.5 Gentle Giants (18) Teaching Number Knowledge (Book 4) Creating fractions (6) More geoboard fractions (7) Non unit fractions (7) Packets of lollies (8) Reading decimal fractions (8) Card ordering (12) Arrow cards (13) Rocket- where will it fit (15) Who has more cake? (18) Who gets more (20) Bead strings (17) Figure It Out N 2-3 Circle segments (17) N 2-3 Fabulous Folding (18) N 2-3 How many? (20) Teaching Number Knowledge (Book 4) Super Liquorice (19) Little halves and big quarters (19) Equivalent fractions,decimals and percentages (21) The same but different (30) Figure It Out N 3.1 Fun with fractions (9) N 3.1 More fractions (10) N 3.1 To market, to market (11) N 3.3 Fraction frenzy (22) N3-4.2 Sandwich survey (11) N 7/8 L.1 Chocolate Chip Feast (22) N 7/8 L.2 Classy courtyards (22) PR 3-4.2 The Equivalence Game (18) Fractions: Stage 8 Advanced Proportional Part-Whole Order fractions, decimals, and percentages Teaching Number Knowledge (Book 4) Packets of lollies (8) Rocket- where will it fit? (15) Bead strings (17) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 17 Who has more cake (18) Little halves and big quarters (19) Who wins (20) Who gets more (20) Using calculators (14) Figure It Out N 3-4.1 Waves win (8) N7/8 4.3 Awesome Athletes (13) N7/8 4.5 Gentle Giants (18) Marie Hirst, Numeracy Facilitator TEAM Solutions 2009 (information adapted from planning units on nzmaths.co.nz) 18