* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Grades 2,3,and 4 outcomes
History of logarithms wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Ethnomathematics wikipedia , lookup
Infinitesimal wikipedia , lookup
Positional notation wikipedia , lookup
Patterns in nature wikipedia , lookup
Surreal number wikipedia , lookup
Mathematical model wikipedia , lookup
Location arithmetic wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
A student working at a grade 3 level will likely already be able to: 2 A1: 2 A2: 2 A3: 2 A4: 2 A5: 2 A6: 2 A7: 2 A8: 2 A9: order number and use ordinal language count in a variety of ways estimate the size of numbers to the nearest multiple of 10 identify simple fractions using models describe numbers in a variety of ways demonstrate an understanding of base-10 groupings model numbers to three places compare and order numbers by size recognize, extend, and create simple place-value patterns 2 B1: recognize that multiplication can be used to determine the total amount in groups of equal size 2 B2: recognize that division can mean determining how many groups of a fixed size are in a larger group or fair sharing 2 B3: demonstrate an understanding that addition can be used to solve subtraction problems and vice versa 2 B4: create word problems involving addition and subtraction 2 B5: develop and apply strategies to learn addition and subtraction facts 2 B6: recall addition facts involving two addends, each less than 10, and the related subtraction facts 2 B7: demonstrate an understanding of basic principles of addition 2 B8: add 3 single-digit numbers 2 B9: model and perform the addition of two 2-digit numbers, with and without regrouping 2 B10: model and perform the subtraction of two 2-digit numbers, with and without regrouping 2 B11: estimate the sum or difference to two 2-digit numbers 2 B12: use technology to solve problems involving sums or differences of larger numbers 2 C1: compare and contrast patterns 2 C2: demonstrate an understanding that there are often many ways to continue a pattern, unless a pattern rule is provided 2 C3: identify and use patterns in an addition table 2 C4: identify and extend place-value patterns 2 C5: represent patterns using their own notation or symbolism 2 C6: solve simple open sentences involving addition and subtraction facts 2 D1: 2 D2: 2 D3: 2 D4: 2 D5: 2 D6: identify procedures not involving units to be used to compare areas demonstrate a sense of how long 1cm and 1m are estimate and measure length in non-standard and standard units recognize and explain why standard units are used demonstrate a sense of how much 1L is estimate and measure capacity in non-standard and standard units 2 D7: demonstrate a sense of how much 1kg is 2 D8: estimate and measure mass using non-standard and standard units 2 D9: estimate and measure time using non-standard units 2 D10: read hours and half-hours on a clock 2 D11: explore properties of the calendar 2 D12: choose appropriate units with which to estimate and measure, and perform the measurements 2 D13: demonstrate an understanding that the size of unit used affects the number describing the measurement 2 D14: demonstrate an understanding that 100cm make up 1m 2 E1: 2 E2: 2 E3: 2 E4: 2 E5: 2 E6: 2 E7: 2 E8: 2 E9: 2 E10: 2 E11: 2 E12: 2 E13: 2 E14: develop aspects of spatial sense, including perceptual constancy, perception of spatial relationships, and visual discrimination recognize 3-D shapes from drawings and from alternative perspectives sort, build, and pattern with 2-D and 3-D shapes recognize, name, and represent parallel lines and right angles recognize, name, describe, and represent parallelograms recognize, name, describe, and represent triangular, square, and rectangular prisms and pyramids cut and assemble nets of cubes and triangular, square, and rectangular prisms and pyramids recognize surfaces and faces of 3-D shapes sort, build, and pattern with 2-D and 3-D shapes subdivide and change 2-D figures recognize, identify, describe, and represent reflective symmetry in 2-D shapes recognize and identify reflective symmetry in the environment make the connection between reflective symmetry and one-half using squares, rectangles and circles make the connection between even/odd numbers and rectangles 2 F1: conduct simple surveys and record data 2 F2: create and interpret pictographs and symbolic bar graphs 2 F3: develop and modify predictions with respect to data collected or presented to them 2 G1: demonstrate an understanding that some events are more likely than others 2 G2: demonstrate an understanding that probability predictions need not always come true At student working at a grade 3 level will be learning to: 3 A1: 3 A2: 3 A3: 3 A4: 3 A5: 3 A6: 3 A7: 3 A8: compare and order whole number to thousands estimate the size of numbers to the nearest ten or hundred use simple fractions to describe situations demonstrate an understanding of base – 10 groupings (units, tens, hundreds, thousands) record, model, and interpret numbers up to and including the thousands read numbers in several ways extend the place-value system to model and record numbers involving tenths order and compare decimals to tenths 3 B1: 3 B2: 3 B3: 3 B4: 3 B5: recognize several meanings for multiplication recognize several meanings for division recognize the relationship between multiplication and division solve and create problems involving addition and/or subtraction solve and create problems involving multiplication and division with small numbers 3 B6: add and subtract with and without regrouping (up to and including three-digit numbers) 3 B7: recognize principles of multiplication and division 3 B8: relate multiplication and division facts 3 B9: continue to estimate in addition and subtraction situations 3 B10: begin to estimate in multiplication and division situations 3 B11: mentally add and subtract two-digit and one-digit numbers 3 B12: mentally add and subtract rounded numbers 3 B13: use technology to solve problems involving larger numbers 3 C1: 3 C2: 3 C3: 3 C4: 3 C5: recognize the pattern implicit in the place-value system recognize and create geometric patterns use and recognize the patterns in a multiplication table record a repeated addition pattern using multiplicative notation recognize the meaning of open sentences of the forms: a x b = □ a x □ = c □ x b = c 3 D1: 3 D2: 3 D3: 3 D4: 3 D5: 3 D6: 3 D7: 3 D8: estimate and measure length in metres, decimetres, and centimetres estimate and measure capacity in millilitres and litres estimate and measure mass in grams and kilograms estimate and measure area in non-standard units and square centimetres solve problems involving kilometres use appropriate units for capacity and mass read digital and analog clocks to the nearest five minutes continue to solve a wide variety of measurement problems 3 E1: continue their development of spatial sense with emphasis on perceptual constancy 3 E2: recognize and represent angles that are less than/more than right angles 3 E3: recognize, name, describe, and represent congruent angles and congruent polygons 3 E4: recognize, name, describe, and represent kite, and some concave, convex, and regular polygons 3 E5: recognize, name, describe, and represent different prisms and pyramids 3 E6: cut and assemble net patterns for pentagonal and hexagonal prisms and pyramids 3 E7: build skeletons of various prisms and pyramids to focus on edges and vertices 3 E8: predict the results of combining triangles and/or quadrilaterals 3 E9: find the lines of reflective symmetry of polygons 3 E10: recognize, name, describe, and represent half and quarter turns of 2-D figures 3 E11: recognize and identify various polygons, prisms, and pyramids in realworld contexts 3 E12: make the connection for rectangles between the arrays of squares forming them and the describing of their dimensions 3 F1: select appropriate strategies for collecting, recording, organizing, and describing relevant data 3 F2: interpret and create pictographs in which each symbol represents more than one item 3 F3: create bar graphs using simple scales 3 F4: implement plans with respect to the collection of data 3 G1: predict and records results in experiments using spinners, coins, dice, coloured cubes, and other simple equipment These are the outcomes at the next level (grade 4): 4 A1: 4 A2: 4 A3: 4 A4: 4 A5: 4 A6: 4 A7: identify and model fractions and mixed numbers interpret and model decimal tenths and hundredths model and record numbers to 99 999 compare and order whole numbers compare and order fractions rename fractions with and without the use of models compare and order decimals with and without models 4 B1: add and subtract decimals involving tenths and hundredths, and whole numbers to five digits 4 B2: demonstrate an understanding of multiplication meanings and applications 4 B3: demonstrate an understanding of the various meanings of division 4 B4: multiply 2- or 3-digit numbers by single-digit numbers concretely, pictorially, and symbolically 4 B5: divide 2- and 3-digit whole numbers by a single-digit divisor 4 B6: use models informally to add simple fractions with common denominators 4 B7: demonstrate an understanding of the use of the open frame as a place holder for a digit on some occasions and for a number on other occasions 4 B8: relate multiplication and division facts, using principles of these operations 4 B9: demonstrate a knowledge of the mult. facts to 9 x 9 4 B10: demonstrate an understanding of various treatments of remainders in division situations 4 B11: solve and create word problems involving whole number computations 4 B12: solve and create word problems involving adding and subtracting of decimals (to hundredths) 4 B13: estimate sums and differences of whole numbers/dec. 4 B14: estimate the product or quotient of 2-digit or 3-digit numbers and single-digit numbers 4 B15: mentally solve appropriate addition and subtraction computations 4 B16: mentally multiply 2-digit numbers by 10 or 100 4 B17: use technology for computations involving many decimal places or large whole numbers 4 C1: demonstrate an understanding of the relationship between adding decimals and adding whole numbers 4 C2: apply the pattern identified when multiplying by increasing powers of ten 4 C3: use patterns to solve computation problems 4 C4: understand how a change in either a or b in a + b, a – b, a x b, or a ÷ b will affect the result of the computation 4 C5: represent multiplication facts either in a table or graphically 4 C6: complete open sentences of the form: a x b =□ a x □ = c a ÷ b = □ a÷ □ = c 4 D1: 4 D2: recognize and demonstrate that objects of various shapes can have the same area recognize and demonstrate that objects of the same area can have different perimeters 4 D3: measure volume using non-standard units 4 D4: estimate and determine the volume of rectangular prisms using centimetre cubes 4 D5: recognize that the measure of an angle indicates an amount of turn 4 D6: estimate and measure angles using non-standard units 4 D7: use a thermometer to read temperatures 4 D8: estimate and measure in millimetres, centimetres, decimetres, metres, and kilometres 4 D9: estimate and measure area in square centimetres 4 D10: solve relevant problems involving millilitres and litres, grams and kilograms 4 D11: relate dimensions and areas of rectangles to factors and products 4 E1: 4 E2: 4 E3: 4 E4: 4 E5: 4 E6: 4 E7: draw various nets for rectangular prisms and cubes construct models for various cylinders, cones, prisms, and pyramids construct shapes given isometric drawings explore relationships among 3-D shapes find all possible composite figures that can be made from a given set of figures recognize, name, describe, and construct acute and obtuse angles recognize, name, describe, and construct equilateral, isosceles, and scalene triangles 4 E8: make generalizations about the angle, side length, and parallel side properties of the various quadrilaterals 4 E9: sort quadrilaterals under property headings 4 E10: make generalizations about the number of vertices, edges, and faces of various prisms and pyramids, cones, and cylinders 4 E11: predict and confirm the results of various 2-D figures under slides, reflections, and quarter/half turns 4 E12: make generalizations about the reflective symmetry property of the various quadrilaterals 4 F1: 4 F2: 4 F3: 4 F4: 4 F5: 4 F6: 4 F7: 4 F8: recognize and use a variety of methods for the collection and organization of data describe data maxima, minima, range, and frequency read and interpret bar graphs, line graphs, pictographs, and stem-and-leaf plots display position, using ordered pairs on a grid construct bar graphs, pictographs, and stem-and-leaf plots interpolate data from a display describe data, using the mean explore real-world issues of interest to students and for which data collection is necessary to determine an answer 4 G1: 4 G2: 4 G3: 4 G4: predict probabilities as close to 0, near ½, or near 1 cite examples of everyday events with very high or very low probabilities predict whether one simple outcome is more or less likely than another use fractions to describe experimental probabilities