Mathematics 3
MATHEMATICAL LANGUAGE (NUMBER)
Teacher
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forward, backward
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nickels, dimes, quarters, loonies
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numbers: zero to one thousand
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skip counting patterns
Student
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forward, backward
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nickels, dimes, quarters, loonies
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numbers: zero to one thousand
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skip counting patterns
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multiples
number expression
number lines, hundreds charts
number words, symbols, digits
ones, tens, hundreds
represent, partition numbers
benchmark numbers
compare, order, ascending, descending order
hundreds chart, number line
least, greatest
less than, more than, closer to, greater than,
missing numbers, errors
about, estimate
estimate quantities
groups of ten, hundred
place value
small cubes, rods, flats
addition facts to 10 applied to multiples of 10:
small cubes, rods
addition on the hundred chart
mental math
quick addition: tens
strategy
ten and some more
tens and some more
mental mathematics
quick subtraction: tens, minus
small cubes, rods
1-digit, 2-digit, 3-digit
about, between, a little more than, a little less
than, close, close to, and near.
front-end estimation
front-end estimation adjusted
addition, subtraction
small cubes, rods, flats
strip diagram: part, whole
sum, difference
trading, grouping
unknown
addition, subtraction facts
double, plus-0, plus-1, plus-2, 1-apart, 2-apart,
make-ten, back-through-10, up-through-10
mental mathematics strategy
order, no change, order does not matter
factors, product
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number lines, hundreds charts
number words, symbols, digits
ones, tens, hundreds
represent, partition numbers
benchmark numbers
compare, order
hundreds chart, number line
least, greatest
less than, more than, closer to, greater than,
missing numbers, errors
about, estimate
groups of ten, hundred
small cubes, rods, flats
small cubes, rods
mental math
tens
strategy
ten and some more
hundred chart
mental mathematics
tens, minus
1-digit, 2-digit, 3-digit
about, between, a little more than, a little less than,
close, close to, near
addition, subtraction
number sentence
strip diagram: part, whole
sum, difference
trading, grouping
unknown
addition, subtraction facts
double, plus-0, plus-1, plus-2, 1-apart, 2-apart, maketen, back-through-10, up-through-10
mental mathematics strategy
order, no change, order does not matter
factors, product
groups of, rows of, jumps of
multiplication, division
number sentence, number expression
repeated addition, equal groups, number of groups
repeated subtraction
divided into
number in each group, number of groups
halves, thirds, fourths, fifths, sixths, eighths, tenths,
twelfths
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groups of, rows of, jumps of
multiplication, division
number sentence, number expression
repeated addition, equal groups, number of
groups
sets, arrays
arrays, repeated subtraction
divided into
equal sharing/fair sharing, equal grouping
multiplication, division
number in each group, number of groups
number sentence, number expression
fact families: halves, thirds, fourths, fifths,
sixths, eighths, tenths, twelfths
fractions
numerator/top number, denominator/bottom
number
one-half, half, one-fourth
part of a whole, equal parts, fair shares
whole, one whole, one
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fractions
top number, bottom number
one-half, one-fourth
equal parts
whole, one whole, one
MATHEMATICAL LANGUAGE (PATTERNS)
Teacher
 describing, extending, comparing, creating
 increasing patterns
 pattern rule
 starting point, increasing by, …
 term
 decreasing patterns
 pattern rule
 starting point, decreasing by …
 addition and subtraction equation
 guess and check
 solve
 symbol, unknown
Student
 increasing patterns
 pattern rule
 starting point, increasing by, …
 term
 decreasing patterns
 starting point, decreasing by …
 addition and subtraction equation
 guess and check
 solve
 symbol, unknown
MATHEMATICAL LANGUAGE (MEASUREMENT)
Teacher
 estimate, measure
 minutes, hours, days, weeks, months, years
 time
 clock, calendar
 seconds, minutes, hours, days, weeks,
months
 length, width, height
 line segment
 personal referent
 ruler, straight edge
 standard units: centimetre, metre
 balance scale
 mass
 personal referent
 standard units: gram, kilogram
 perimeter, distance around
Student
 estimate, measure
 minutes, hours, days, weeks, months, years
 time
 clock, calendar
 seconds, minutes, hours, days, weeks, months
 estimate, measure
 length, width, height
 line segment
 referent
 ruler, straight edge
 centimetre, metre
 balance scale
 mass
 gram, kilogram
 perimeter, distance around
Mathematical Language (GEOMETRY)
Teacher
 3-D objects
 apex
 attributes
 cubes, spheres, cones, cylinders, pyramids, prisms
 faces, edges/sides, vertices/corners
 flat surface, curved surface
 dimension, size
 position
 regular, irregular polygons
 triangles, quadrilaterals, pentagons, hexagons,
octagons
 turning (rotating), flipping (reflection), sliding
(translations)
Student
 3-D objects
 cubes, spheres, cones, cylinders, pyramids, prisms
 faces, edges/sides, vertices/corners
 flat surface, curved surface
 sizes
 polygons
 triangles, quadrilaterals, pentagons, hexagons,
octagons
 turning, flipping, sliding
MATHEMATICAL LANGUAGE (STATISTICS AND PROBABILITY)
Teacher
 collect, organize, display, interpret data
 first-hand data
 tally marks, line plots, charts, lists
 title, label, horizontal axis, dots, crosses
 bar graph, bar(s)
 data, collect, organize, display, interpret
 title, labels, scale, axis, axes
 vertical, horizontal
Student
 collect, organize, display
 tally marks, line plots, charts, lists
 title, label, horizontal axis, dots, crosses
 bar graph, bar(s)
 data, collect, organize, display
 title, labels, scale, axis, axes
 vertical, horizontal