Grade 3. Strand: Number Specific Learning Outcomes It is expected that students will:

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1 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.N.1. 3.N.2. Strad: Number Specific Learig Outcomes It is expected that studets will: Say the umber sequece betwee ay two give umbers forward ad backward from 0 to 1000 by 10s or 100s, usig ay startig poit 5s, usig startig poits that are multiples of 5 25s, usig startig poits that are multiples of 25 from 0 to 100 by 3s, usig startig poits that are multiples of 3 4s, usig startig poits that are multiples of 4 [C, CN, ME] Represet ad describe umbers to 1000, cocretely, pictorially, ad symbolically. [C, CN, V] Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Exted a skip-coutig sequece by 10s or 100s, forward ad backward, usig a give startig poit. Exted a skip-coutig sequece by 5s, forward ad backward, startig at a give multiple of 5. Exted a skip-coutig sequece by 25s, forward ad backward, startig at a give multiple of 25. Exted a give skip-coutig sequece by 3s, forward, startig at a give multiple of 3. Exted a give skip-coutig sequece by 4s, startig at a give multiple of 4. Idetify ad correct errors ad omissios i a skip-coutig sequece. Determie the value of a set of cois (ickels, dimes, quarters, looies) by usig skip coutig. Idetify ad explai the skip-coutig patter for a umber sequece. Read a 3-digit umeral without usig the word ad (e.g., 321 is three hudred twetyoe, NOT three hudred AND twety-oe). Read a umber word (0 to 1000). Represet a umber as a expressio (e.g., for 256 or ). Represet a umber usig maipulatives, such as base-10 materials. Represet a umber pictorially. Write umber words for multiples of te to 90. Write umber words for multiples of a hudred to 900. Determie compatible umber pairs for Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

2 Strad: Number (cotiued) Specific Learig Outcomes It is expected that studets will: 3.N.3. Compare ad order umbers to [CN, R, V] 3.N.4. 3.N.5. Estimate quatities less tha 1000 usig referets. [ME, PS, R, V] Illustrate, cocretely ad pictorially, the meaig of place value for umerals to [C, CN, R, V] [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Place a set of umbers i ascedig or descedig order, ad verify the result by usig a hudred chart (e.g., a oe hudred chart, a two hudred chart, a three hudred chart, a umber lie, or by makig refereces to place value). Create as may differet 3-digit umerals as possible, give three differet digits. Place the umbers i ascedig or descedig order. Idetify errors i a ordered sequece. Idetify missig umbers i parts of a hudred chart. Idetify errors i a hudred chart. Estimate the umber of groups of te i a quatity usig 10 as a referet (kow quatity). Estimate the umber of groups of a hudred i a quatity usig 100 as a referet. Estimate a quatity by comparig it to a referet. Select a estimate for a quatity by choosig amog three possible choices. Select ad justify a referet for determiig a estimate for a quatity. Record i more tha oe way the umber represeted by proportioal ad oproportioal cocrete materials. Represet a umber i differet ways usig proportioal ad o-proportioal cocrete materials, ad explai how they are equivalet (e.g., 351 ca be represeted as three 100s, five 10s ad oe 1, or as two 100s, fiftee 10s, ad oe 1, or as three 100s, four 10s, ad eleve 1s). Explai, ad show with couters, the meaig of each digit for a 3-digit umeral with all digits the same (e.g., for the umeral 222, the first digit represets two hudreds [two hudred couters] the secod digit represets two tes [twety couters], ad the third digit represets two oes [two couters]). Geeral ad Specific Learig Outcomes 77

3 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.N.6. 3.N.7. 3.N.8. Strad: Number (cotiued) Specific Learig Outcomes It is expected that studets will: Describe ad apply metal mathematics strategies for addig two 2-digit umerals, such as addig from left to right takig oe added to the earest multiple of te ad the compesatig usig doubles [C, ME, PS, R, V] Describe ad apply metal mathematics strategies for subtractig two 2-digit umerals, such as takig the subtrahed to the earest multiple of te ad the compesatig thikig of additio usig doubles [C, ME, PS, R, V] Apply estimatio strategies to predict sums ad differeces of two 2-digit umerals i a problem-solvig cotext. [C, ME, PS, R] Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Add two 2-digit umerals usig a metal mathematics strategy, ad explai or model the strategy. Explai how to use the addig from left to right strategy (e.g., to determie the sum of , thik ad 3 + 6). Explai how to use the takig oe added to the earest multiple of te strategy (e.g., to determie the sum of , thik or ). Explai how to use the usig doubles strategy (e.g., to determie the sum of , thik ; to determie the sum of , thik or doubles plus 1). Apply a metal mathematics strategy for addig two 2-digit umerals. Subtract two 2-digit umerals usig a metal mathematics strategy, ad explai or model the strategy. Explai how to use the takig the subtrahed to the earest multiple of te ad the compesatig strategy (e.g., to determie the differece of 48 19, thik ). Explai how to use the thikig of additio strategy (e.g., to determie the differece of 62 45, thik , the , ad the ). Explai how to use the usig doubles strategy (e.g., to determie the differece of 24 12, thik ). Apply a metal mathematics strategy for subtractig two 2-digit umerals. Estimate the solutio for a story problem ivolvig the sum of two 2-digit umerals (e.g., to estimate the sum of , use ; the sum is close to 90). Estimate the solutio for a story problem ivolvig the differece of two 2-digit umerals (e.g., to estimate the differece of 56 23, use 50 20; the differece is close to 30). 78 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

4 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.N.9. 3.N.10. Strad: Number (cotiued) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of additio ad subtractio of umbers with aswers to 1000 (limited to 1-, 2-, ad 3-digit umerals) by usig persoal strategies for addig ad subtractig with ad without the support of maipulatives creatig ad solvig problems i cotexts that ivolve additio ad subtractio of umbers cocretely, pictorially, ad symbolically. [C, CN, ME, PS, R] Apply metal math strategies to determie additio facts ad related subtractio facts to 18 (9 + 9). [C, CN, ME, R, V] Recall of additio ad related subtractio facts to 18 is expected by the ed of Grade 3. Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Model the additio of two or more umbers usig cocrete or visual represetatios, ad record the process symbolically. Model the subtractio of two umbers usig cocrete or visual represetatios, ad record the process symbolically. Create a additio or subtractio story problem for a solutio. Determie the sum of two umbers usig a persoal strategy (e.g., for , record ). Determie the differece of two umbers usig a persoal strategy (e.g., for , record or ). Solve a problem ivolvig the sum or differece of two umbers. Describe a metal mathematics strategy that could be used to determie a give basic fact, such as Q doubles (e.g., for 6 + 8, thik 7 + 7) Q doubles plus oe (e.g., for 6 + 7, thik ) Q doubles take away oe (e.g., for 6 + 7, thik ) Q doubles plus two (e.g., for 6 + 8, thik ) Q doubles take away two (e.g., for 6 + 8, thik ) Q makig 10 (e.g., for 6 + 8, thik or ) Q commutative property (e.g., for 3 + 9, thik 9 + 3) Q additio to subtractio (e.g., for 13 7, thik 7 + o = 13) Provide a rule for determiig aswers for addig ad subtractig zero. Geeral ad Specific Learig Outcomes 79

5 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.N N.12. Strad: Number (cotiued) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of multiplicatio to 5 5 by represetig ad explaiig multiplicatio usig equal groupig ad arrays creatig ad solvig problems i cotext that ivolve multiplicatio modellig multiplicatio usig cocrete ad visual represetatios, ad recordig the process symbolically relatig multiplicatio to repeated additio relatig multiplicatio to divisio [C, CN, PS, R] Demostrate a uderstadig of divisio by represetig ad explaiig divisio usig equal sharig ad equal groupig creatig ad solvig problems i cotext that ivolve equal sharig ad equal groupig modellig equal sharig ad equal groupig usig cocrete ad visual represetatios, ad recordig the process symbolically relatig divisio to repeated subtractio relatig divisio to multiplicatio (limited to divisio related to multiplicatio facts up to 5 5). [C, CN, PS, R] Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. (It is iteded that studets show their uderstadig of strategies usig maipulatives, pictorial represetatios, ad/or patters whe determiig products.) Idetify evets from experiece that ca be described as multiplicatio. Represet a story problem (orally, shared readig, writte) usig maipulatives or diagrams, ad record i a umber setece. Skip-cout by 2s, 3s, 4s, ad 5s to determie the aswer to a multiplicatio problem represeted as equal groups. Represet a multiplicatio expressio as repeated additio. Represet a repeated additio as multiplicatio. Create ad illustrate a story problem for a umber setece. Represet, cocretely or pictorially, equal groups for a umber setece. Represet a multiplicatio expressio usig a array. Create a array to model the commutative property of multiplicatio. Relate multiplicatio to divisio by usig arrays ad by writig related umber seteces. Solve a problem i cotext ivolvig multiplicatio. (It is iteded that studets show their uderstadig of strategies usig maipulatives, pictorial represetatios, ad/or patters whe determiig quotiets.) Idetify evets from experiece that ca be described as equal sharig. Idetify evets from experiece that ca be described as equal groupig. Illustrate, with couters or a diagram, a story problem ivolvig equal sharig, preseted orally or through shared readig, ad solve the problem. Illustrate, with couters or a diagram, a story problem ivolvig equal groupig, preseted orally or through shared readig, ad solve the problem. Liste to a story problem, represet the umbers usig maipulatives or a sketch, ad record the problem with a umber setece. Create, ad illustrate with couters, a story problem for a umber setece. Represet a divisio expressio as repeated subtractio. Represet a repeated subtractio as a divisio expressio. Relate divisio to multiplicatio by usig arrays ad by writig related umber seteces. Solve a problem ivolvig divisio. 80 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

6 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.N.13. Strad: Number (cotiued) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of fractios by explaiig that a fractio represets a portio of a whole divided ito equal parts describig situatios i which fractios are used comparig fractios of the same whole with like deomiators [C, CN, ME, R, V] Geeral Learig Outcome: Develop umber sese. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Idetify commo characteristics of a set of fractios. Describe everyday situatios where fractios are used. Cut or fold a whole ito equal parts, or draw a whole i equal parts; demostrate that the parts are equal ad ame the parts. Sort a set of diagrams of regios ito those that represet equal parts ad those that do ot, ad explai the sortig. Represet a fractio cocretely or pictorially. Name ad record the fractio represeted by the shaded ad o-shaded parts of a regio. Compare fractios with the same deomiator usig models. Idetify the umerator ad deomiator for a fractio. Model ad explai the meaig of umerator ad deomiator. Geeral ad Specific Learig Outcomes 81

7 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.PR.1. Strad: Patters ad Relatios (Patters) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of icreasig patters by describig extedig comparig creatig patters usig maipulatives, diagrams, ad umbers (to 1000). [C, CN, PS, R, V] Geeral Learig Outcome: Use patters to describe the world ad solve problems. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Describe a icreasig patter by statig a patter rule that icludes the startig poit ad a descriptio of how the patter cotiues. Idetify the patter rule of a icreasig patter, ad exted the patter for the ext three terms. Idetify ad explai errors i a icreasig patter. Idetify ad describe various icreasig patters foud o a hudred chart, such as horizotal, vertical, ad diagoal patters. Compare umeric patters of coutig by 2s, 3s, 4s, 5s, 10s, 25s, ad 100s. Create a cocrete, pictorial, or symbolic represetatio of a icreasig patter for a patter rule. Create a cocrete, pictorial, or symbolic icreasig patter, ad describe the patter rule. Solve a problem usig icreasig patters. Idetify ad describe icreasig patters i the eviromet. Idetify ad apply a patter rule to determie missig elemets for a patter. Describe the strategy used to determie missig elemets i a icreasig patter. 82 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

8 3.PR.2. Grade 3 Strad: Patters ad Relatios (Patters) (cotiued) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of decreasig patters by describig extedig comparig creatig patters usig maipulatives, diagrams, ad umbers (startig from 1000 or less). [C, CN, PS, R, V] Geeral Learig Outcome: Use patters to describe the world ad solve problems. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Describe a decreasig patter by statig a patter rule that icludes the startig poit ad a descriptio of how the patter cotiues. Idetify the patter rule of a decreasig patter, ad exted the patter for the ext three terms. Idetify ad explai errors i a decreasig patter. Idetify ad describe various decreasig patters foud o a hudred chart, such as horizotal, vertical, ad diagoal patters. Compare decreasig umeric patters of coutig backward by 2s, 3s, 4s, 5s, 10s, 25s, ad 100s. [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio Create a cocrete, pictorial, or symbolic decreasig patter for a patter rule. Create a cocrete, pictorial, or symbolic decreasig patter, ad describe the patter rule. Solve a problem usig decreasig patters. Idetify ad describe decreasig patters i the eviromet. Idetify ad apply a patter rule to determie missig elemets for a patter. Describe the strategy used to determie missig elemets i a decreasig patter. Geeral ad Specific Learig Outcomes 83

9 3.PR.3. Grade 3 Strad: Patters ad Relatios (Variables ad Equatios) Specific Learig Outcomes It is expected that studets will: Solve oe-step additio ad subtractio equatios ivolvig symbols represetig a ukow umber. [C, CN, PS, R, V] [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio Geeral Learig Outcome: Represet algebraic expressios i multiple ways. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Explai the purpose of the symbol, such as a triagle or a circle, i a additio or a subtractio equatio with oe ukow. Create a additio or subtractio equatio with oe ukow to represet a combiatio or separatio actio. Provide a alterative symbol for the ukow i a additio or subtractio equatio. Solve a additio or subtractio equatio that represets combiig or separatig actios with oe ukow, usig maipulatives. Solve a additio or subtractio equatio with oe ukow usig a variety of strategies icludig guess ad test. Explai why the ukow i a additio or subtractio equatio has oly oe value. 84 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

10 3.SS.1. 3.SS.2. Grade 3 Strad: Shape ad Space (Measuremet) Specific Learig Outcomes It is expected that studets will: Relate the passage of time to commo activities usig ostadard ad stadard uits (miutes, hours, days, weeks, moths, years). [CN, ME, R] Relate the umber of secods to a miute, the umber of miutes to a hour, ad the umber of days to a moth i a problem-solvig cotext. [C, CN, PS, R, V] 3.SS.3. Demostrate a uderstadig of measurig legth (cm, m) by selectig ad justifyig referets for the uits cm ad m modellig ad describig the relatioship betwee the uits cm ad m estimatig legth usig referets measurig ad recordig legth, width, ad height [C, CN, ME, PS, R, V] [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio Geeral Learig Outcome: Use direct or idirect measuremet to solve problems. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Select ad use a o-stadard uit of measure, such as televisio shows or pedulum swigs, to measure the passage of time, ad explai the choice. Idetify activities that ca or caot be accomplished i miutes, hours, days, moths, ad years. Provide persoal referets for miutes ad hours. Determie the umber of days i ay moth usig a caledar. Solve a problem ivolvig the umber of miutes i a hour or the umber of days i a give moth. Create a caledar that icludes days of the week, dates, ad evets. Provide a persoal referet for oe cetimetre ad explai the choice. Provide a persoal referet for oe metre ad explai the choice. Match a stadard uit to a referet. Show that 100 cetimetres is equivalet to 1 metre by usig cocrete materials. Estimate the legth of a object usig persoal referets. Determie ad record the legth or width of a 2-D shape. Determie ad record the legth, width, or height of a 3-D object. Draw a lie segmet of a give legth usig a ruler. Sketch a lie segmet of a give legth without usig a ruler. Geeral ad Specific Learig Outcomes 85

11 3.SS.4. 3.SS.5. Grade 3 Strad: Shape ad Space (Measuremet) (cotiued) Specific Learig Outcomes It is expected that studets will: Demostrate a uderstadig of measurig mass (g, kg) by selectig ad justifyig referets for the uits g ad kg modellig ad describig the relatioship betwee the uits g ad kg estimatig mass usig referets measurig ad recordig mass [C, CN, ME, PS, R, V] Demostrate a uderstadig of perimeter of regular ad irregular shapes by estimatig perimeter usig referets for cetimetre or metre measurig ad recordig perimeter (cm, m) costructig differet shapes for a give perimeter (cm, m) to demostrate that may shapes are possible for a perimeter [C, ME, PS, R, V] [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio Geeral Learig Outcome: Use direct or idirect measuremet to solve problems. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Provide a persoal referet for oe gram ad explai the choice. Provide a persoal referet for oe kilogram ad explai the choice. Match a stadard uit to a referet. Explai the relatioship betwee 1000 grams ad 1 kilogram usig a model. Estimate the mass of a object usig persoal referets. Determie ad record the mass of a 3-D object. Measure, usig a scale, ad record the mass of everyday objects usig the uits g ad kg. Provide examples of 3-D objects that have a mass of approximately 1g, 100g, ad 1kg. Determie the mass of two similar objects with differet masses, ad explai the results. Determie the mass of a object, chage its shape, re-measure its mass, ad explai the results. Measure ad record the perimeter of a regular shape, ad explai the strategy used. Measure ad record the perimeter of a irregular shape, ad explai the strategy used. Costruct a shape for a give perimeter (cm, m). Costruct or draw more tha oe shape for the same perimeter. Estimate the perimeter of a shape (cm, m) usig persoal referets. 86 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)

12 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.SS.6. 3.SS.7. Strad: Shape ad Space (3-D Objects ad 2-D Shapes) Specific Learig Outcomes It is expected that studets will: Describe 3-D objects accordig to the shape of the faces, ad the umber of edges ad vertices. [C, CN, PS, R, V] Sort regular ad irregular polygos, icludig triagles quadrilaterals petagos hexagos octagos accordig to the umber of sides. [C, CN, R, V] Geeral Learig Outcome: Describe the characteristics of 3-D objects ad 2-D shapes, ad aalyze the relatioships amog them. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Idetify the faces, edges, ad vertices of a 3-D object, icludig cubes, spheres, coes, cyliders, pyramids, ad prisms. Idetify the shape of the faces of a 3-D object. Determie the umber of faces, edges, ad vertices of a 3-D object. Costruct a skeleto of a 3-D object, ad describe how the skeleto relates to the 3-D object. Sort a set of 3-D objects accordig to the umber of faces, edges, or vertices. Classify a set of regular ad irregular polygos accordig to the umber of sides. Idetify regular ad irregular polygos havig differet dimesios. Idetify regular ad irregular polygos havig differet orietatios. Geeral ad Specific Learig Outcomes 87

13 [C] Commuicatio [PS] Problem Solvig [CN] Coectios [R] Reasoig [ME] Metal Mathematics [T] Techology ad Estimatio [V] Visualizatio 3.SP.1. 3.SP.2. Strad: Statistics ad Probability (Data Aalysis) Specific Learig Outcomes It is expected that studets will: Collect first-had data ad orgaize it usig tally marks lie plots charts lists to aswer questios. [C, CN, V] Costruct, label, ad iterpret bar graphs to solve problems. [PS, R, V] Geeral Learig Outcome: Collect, display, ad aalyze data to solve problems. Achievemet Idicators The followig set of idicators may be used to determie whether studets have met the correspodig specific outcome. Record the umber of objects i a set usig tally marks. Determie the attributes of lie plots. Orgaize a set of data usig tally marks, lie plots, charts, or lists. Collect ad orgaize data usig tally marks, lie plots, charts, or lists. Aswer questios arisig from a lie plot, chart, or list. Aswer questios usig collected data. Determie the attributes of bar graphs. Create bar graphs from a set of data icludig labellig the title ad axes. Draw coclusios from a bar graph to solve problems. Solve problems by costructig ad iterpretig a bar graph. 88 Kidergarte to Grade 8 Mathematics: Maitoba Curriculum Framework of Outcomes (2013)