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Continuum of Curriculum Expectations: Measurement

Overall Expectations

Subheadings Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8

Attributes, Units, and 1m28• estimate, 2m28• estimate, 3m29• estimate, 4m38• estimate, 5m31• estimate, 6m29• estimate, 7m31• report on 8m29• research, Measurement Sense measure, and measure, and record measure, and record measure, and record measure, and record measure, and record research into real- describe, and report describe length, area, length, perimeter, length, perimeter, length, perimeter, perimeter, area, quantities, using the life applications of on applications of mass, capacity, time, area, mass, capacity, area, mass, capacity, area, mass, capacity, temperature change, metric measurement area measurements; volume and capacity and time, and time, and volume, and elapsed and elapsed time, system; measurement; temperature, using temperature, using temperature, using time, using a variety using a variety of non-standard units non-standard units standard units of strategies strategies; of the same size; and standard units;

Measurement 1m29• compare, 2m29• compare, 3m30• compare, 4m39• determine the 5m32• determine the 6m30• determine the 7m32• determine the 8m30• determine the Relationships describe, and order describe, and order describe, and order relationships among relationships among relationships among relationships among relationships among objects, using objects, using objects, using units and measurable units and measurable units and measurable units and measurable units and measurable attributes measured attributes measured in attributes measured attributes, including attributes, including attributes, including attributes, including attributes, including in non-standard non-standard units in standard units the area and the area of a the area of a the area of a the area of a circle units. and standard units. perimeter of rectangle and the parallelogram, the trapezoid and the and the volume of a rectangles volume of a area of a triangle, volume of a right cylinder. rectangular prism. and the volume of a prism. triangular prism.

1 Specific Expectations

Subheadings Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8

Attributes, Units, 1m30-demonstrate 2m30-choose 3m31-estimate, 4m40-estimate, 5m37-select and 6m31-demonstrate and Measurement an understanding of benchmarks –– in measure, and record measure, and record justify the most an understanding of this case, personal Sense the use of non- length, height, and length, height, and appropriate the relationship standard units of the referents –– for a distance, using distance, using standard unit (i.e., between estimated same size for centimetre and a standard units (i.e., standard units (i.e., millimetre, and precise Linear Measurement measuring metre to help them centimetre, metre, millimetre, centimetre, measurements, and (Estimate and perform kilometre) centimetre, metre, decimetre, metre, determine and Measure) 1m31-estimate, measurement tasks kilometre) kilometre) to justify when each measure (i.e., by measure length, kind is appropriate placing nonstandard 2m31-estimate and height, width, and units repeatedly, measure length, distance, and to 6m32-estimate, without overlaps or height, and distance, measure the perimeter measure, and record gaps), and record using standard units of various polygons length, area, mass, lengths, heights, and (i.e., centimetre, (from capacity, and distances metre) and non- Measurement volume, using the standard units Relationships) metric measurement system 2m32-record and represent measurements of length, height, and distance in a variety of ways

2m33-select and justify the choice of a standard unit (i.e., centimetre or metre) or a nonstandard unit to measure length

2m34-estimate, measure, and record the distance around objects, using non- standard units

2 Subheadings Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8

Attributes, Units, 1m32- construct, 2m30-choose 3m32-draw items 4m41-draw items and Measurement using a variety of benchmarks –– in using a ruler, given using a ruler, given this case, personal Sense strategies, tools for specific lengths in specific lengths in measuring lengths, referents –– for a centimetres millimetres or heights, and centimetre and a centimetres Construct distances in non- metre to help them standard units perform measurement tasks

Perimeter 3m36-estimate, 4m44-estimate, 5m36-estimate and measure, and record measure using a measure the the perimeter of variety of tools and perimeter and area two-dimensional strategies, and of regular and shapes, through record the perimeter irregular polygons, investigation using and area of using a variety of standard units polygons tools and strategies

Area 1m33-estimate, 2m35-estimate, 3m37-estimate, 4m44-estimate, 5m36-estimate and 6m32-estimate, 7m33-research and measure (i.e., by measure, and record measure (i.e., using measure using a measure the measure, and record report on real-life minimizing overlaps area, through centimetre grid variety of tools and perimeter and area length, area, mass, applications of area and gaps), and investigation using a paper, arrays), and strategies, and of regular and capacity, and measurements describe area, variety of non- record area record the perimeter irregular polygons, volume, using the through standard units and area of using a variety of metric measurement investigation using polygons tools and strategies system non-standard units

Attributes, Units, 1m34-estimate, 2m36-estimate, 3m38-choose 4m45-estimate, 5m45-select and 6m32-estimate, 7m35-solve 8m31 - research, and Measurement measure, and measure, and record benchmarks for a measure, and record justify the most measure, and record problems that describe, and report length, area, mass, Sense describe the the capacity and/or kilogram and a litre the mass of objects, appropriate require conversion on applications of capacity and/or mass of an object, to help them using the standard standard unit to capacity, and between metric units volume and capacity mass of an object, using a variety of perform units of the kilogram measure mass (i.e., volume, using the of measure (from measurement Mass through non-standard units measurement task and the gram milligram, gram, metric measurement Measurement Volume / Capacity investigation using kilogram, tonne) system Relationships) non-standard units 3m39-estimate, 4m46-estimate, (from Measurement measure, and record measure, and record Relationships) the mass of objects, the capacity of 7m40-determine, using the standard containers, using the through unit of the kilogram standard units of the investigation using a or parts of a litre and the variety of tools and kilogram millilitre strategies, the relationship between 3m40-estimate, 4m47-estimate, the height, the area measure, and record measure using of the base, and the the capacity of concrete materials, volume of right containers, using the and record volume, prisms with simple standard unit of the and relate volume to polygonal bases, litre or parts of a the space taken up and generalize to litre by an object develop the formula (i.e., Volume = area of base x height) (from Measurement Relationships)

Attributes, Units, 1m36-read 2m37-tell and write 3m33-read time 4m42-estimate, 5m33-estimate, and Measurement demonstration time to the quarter- using analogue measure (i.e., using measure (i.e., using Sense digital and analogue hour, using clocks, to the nearest an analogue clock), an analogue clock), clocks, and use demonstration digital five minutes, and and represent time and represent time them to identify and analogue clocks using digital clocks, intervals to the intervals to the Time benchmark times and represent time in nearest minute nearest second and to tell and write 2m38-construct tools 12-hour notation time to the hour and for measuring time half-hour in intervals in non- everyday settings standard units

1m37-name the months of the year in order, and read the date on a calendar

1m35-estimate, measure, and describe the passage of time, through investigation using nonstandard units

Elapsed Time 4m43-estimate and 5m34-estimate and determine elapsed determine elapsed time, with and without time, with and using a time line, without using a time given the line, given the durations of events durations of events expressed in five- expressed in minute intervals, minutes, hours, hours, days, weeks, days, weeks, months, or years months, or years

Attributes, Units, 1m38-relate 2m39-describe how 3m35-identify 5m35-measure and and Measurement temperature to changes in benchmarks for record temperatures Sense experiences of the temperature affect freezing, cold, cool, to determine and seasons everyday warm, hot, and represent experiences boiling temperatures temperature changes Temperature as they relate to over time 2m40-use a standard water and for cold, thermometer to cool, warm, and hot determine whether temperatures as they temperature is rising relate to air or falling 3m34-estimate, read (i.e., using a thermometer), and record positive temperatures to the nearest degree Celsius (i.e., using a number line; using appropriate notation)

Measurement 1m40-compare and 2m30-choose 3m42-compare and 4m49-select and 5m37-select and 6m33-select and 7m35-solve 8m33-measure the Relationships order objects by benchmarks –– in order objects on the justify the most justify the most justify the problems that circumference, this case, personal their linear basis of linear appropriate standard appropriate appropriate metric unit require conversion radius, and diameter measurements, referents –– for a measurements in unit (i.e., millimetre, standard unit (i.e., (i.e., millimetre, between metric units of circular objects, Length / Perimeter using the same non- centimetre and a centimetres and/or centimetre, millimetre, centimetre, of measure using concrete Selecting standard unit metre to help them metres in problem- decimetre, metre, centimetre, decimetre, metre, materials Appropriate Units perform solving contexts kilometre) to decimetre, metre, decametre, 1m41-use the metre measurement tasks ( measure the side kilometre) to kilometre) to as a benchmark for from Attributes, 3m41-compare lengths and measure length, measure length or measuring length, Units, and standard units of perimeters of height, width, and distance in a given and compare the Measurement Sense) length (i.e., various polygons distance, and to real-life situation metre with non- centimetre, metre, measure the perimeter standard units kilometre), and of various polygons select and justify the 1m39-compare two most appropriate or three objects standard unit to 5m42-solve using measurable measure length problems requiring attributes, and the estimation and describe the objects calculation of using relative terms perimeters and areas of rectangles 1m42-describe, through investigation using concrete materials, the relationship between the size of a unit and the number of units needed to measure length

Measurement 4m48-describe, 5m38-solve 6m34-solve 7m35-solve 8m32-solve Relationships through problems requiring problems requiring problems that problems that investigation, the conversion from conversion from require conversion require conversions metres to larger to smaller between metric units involving metric Conversions relationship between various units of centimetres and metric units of measure units of area, length (i.e., from kilometres to volume, and millimetre, metres 6m39-determine, 7m36-solve capacity (i.e., square centimetre, using concrete problems that centimetres and decimetre, metre, materials, the require conversion square metres; cubic kilometre) relationship between between metric units centimetres and units used to of area (i.e., square cubic metres; measure area (i.e., centimetres, square millilitres and cubic square centimetre, metres) centimetres) square metre), and apply the 7m42-solve relationship to solve problems that problems that involve the surface involve conversions area and volume of from square metres right prisms and that to square require conversion centimetres between metric measures of capacity and volume (i.e., millilitres and cubic centimetres)

Measurement 2m41-describe, 3m44-describe, 4m51-pose and 5m42-solve 6m36-determine, 7m39-estimate and 8m34-determine, Relationships through through solve meaningful problems requiring through calculate the area of through the estimation and investigation, the investigation using problems that investigation using a composite two- investigation using a grid paper, the variety of tools and dimensional shapes by variety of tools and Area relationship between require the ability to calculation of the size of a unit of relationship between distinguish perimeters and strategies, the decomposing into strategies, the area and the number the size of a unit of perimeter and area areas of rectangles relationship between shapes with known relationships for of units needed to area and the number the area of a area relationships calculating the cover a surface of units needed to rectangle and the circumference and cover a surface areas of 7m37-determine, the area of a circle, parallelograms and through and generalize to 3m43-compare and triangles, by investigation using a develop the formulas order various shapes decomposing and variety of tools and by area, using composing strategies, the congruent shapes relationship for and grid paper for calculating the area measuring of a trapezoid, and generalize to develop the formula [i.e., Area = (sum of lengths of parallel sides x height) ÷÷ 2]

Measurement 4m50 - determine, 5m40-create, 6m35-construct a Relationships through through rectangle, a square, a investigation, the investigation using a triangle, and a variety of tools and Perimeter / Area relationship between parallelogram, using the side lengths of a strategies, two- a variety of tools, rectangle and its dimensional shapes given the area and/or perimeter and area with the same perimeter perimeter or the 4m57-compare, same area using a variety of tools, two- dimensional shapes that have the same perimeter or the same area

4m51-pose and solve meaningful problems that require the ability to distinguish perimeter and area

Measurement 5m41-determine, 6m37-develop the 7m37-determine, 8m34-determine, Relationships through formulas for the area through through investigation using a of a parallelogram investigation using a investigation using a variety of tools and variety of tools and variety of tools and Area Formula (i.e., Area of strategies, the parallelogram = base x strategies, the strategies, the relationships height) and the relationship for relationships for between the length area of a triangle [i.e., calculating the area calculating the and width of a Area of triangle = of a trapezoid, and circumference and rectangle and its area (base x height) ÷÷ generalize to develop the area of a circle, and perimeter, and 2], using the area the formula [i.e., and generalize to generalize to relationships among Area = (sum of develop the formulas develop the formulas rectangles, lengths of parallel [i.e., Area = length x parallelograms, and sides x height) ÷÷ 8m35-solve width; Perimeter = triangles 2] problems involving (2 x length) + (2 x the estimation and width)] 6m38-solve 7m38-solve calculation of the problems involving problems involving circumference and the estimation and the estimation and the area of a circle calculation of the calculation of the areas of triangles area of a trapezoid and the areas of parallelograms

Measurement 1m39-compare two 2m42-compare and 3m45-compare and 4m52-compare and 5m45-select and Relationships or three objects order a collection of order a collection of order a collection of justify the most using measurable objects by mass objects, using objects, using appropriate attributes, and and/or capacity, standard units of standard units of standard unit to Mass / Capacity / describe the objects using non-standard mass (i.e., kilogram) mass (i.e., gram, measure mass (i.e., Volume using relative terms units and/or capacity (i.e., kilogram) and/or milligram, gram, litre) capacity (i.e., kilogram, tonne) millilitre, litre)

4m53-determine, through investigation, the relationship between grams and kilograms

4m54-determine, through investigation, the relationship between millilitres and litres

4m55-select and justify the most appropriate standard unit to measure mass (i.e., milligram, gram, kilogram) and the most appropriate standard unit to measure the capacity of a container (i.e., millilitre, litre)

Measurement 5m44-determine, 6m41-determine, 7m41-determine, 8m37-determine, Relationships through through through through investigation using investigation using a investigation using a investigation using stacked congruent variety of tools and variety of tools, the concrete materials, Surface Area rectangular layers of strategies, the surface area of right the surface area of a Volume concrete materials, surface area of prisms cylinder the relationship rectangular and between the height, triangular prisms 7m40-determine, 8m36-determine, the area of the base, through through and the volume of a 6m40-determine, investigation using a investigation using a rectangular prism, through variety of tools and variety of tools and and generalize to investigation using a strategies, the strategies, the develop the formula variety of tools and relationship between relationship between (i.e., Volume = area strategies, the the height, the area the area of the base of base x height) relationship between of the base, and the and height and the the height, the area volume of right volume of a 5m43-determine, of the base, and the prisms with simple cylinder, and through volume of a polygonal bases, generalize to investigation, the triangular prism, and and generalize to develop the formula relationship between generalize to develop the formula (i.e., Volume = area capacity (i.e., the develop the formula (i.e., Volume = area of base x height) amount a container (i.e., Volume = area of base x height) can hold) and of base x height) 8m38-solve volume(i.e., the 7m34-sketch different problems involving amount of space 6m42-solve polygonal prisms that the surface area and taken up by an problems involving share the the volume of object), by the estimation and same volume cylinders, using a comparing the calculation of the variety of strategies volume of an object surface area and with the amount of volume of triangular liquid it can contain and rectangular or displace prisms

Measurement 2m43-determine, 3m46-solve 4m56-solve 5m39-solve Relationships through problems involving problems involving problems involving investigation, the the relationships the relationship the relationship between a 12-hour Time relationship between between minutes and between years and days and weeks and hours, hours and days, decades, and clock and a 24-hour between months and days and between decades clock years weeks, and weeks and centuries and years, using a variety of tools

Note: Italicized expectations are repeated in two categories.

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