GCO A: Students will demonstrate number sense and apply number-theory concepts.

A1 identify and model fractions and mixed numbers

A2 interpret and model decimal tenths and hundredths

A3 model and record numbers to 99 999

A4 compare and order whole numbers

A5 compare and order fractions

A6 rename fractions with and without the use of models

A7 compare and order decimals with and without models

GCO B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

B1 add and subtract decimals involving tenths and hundredths, and whole numbers to five digits

B2 demonstrate an understanding of multiplication meanings and applications

B3 demonstrate an understanding of the various meanings of division

B4 multiply 2- and 3-digit numbers by single-digit numbers concretely, pictorially, and symbolically

B5 divide 2- and 3-digit whole numbers by a single-digit divisor

B6 use models informally to add simple fractions with common denominators

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

B8 relate multiplication and division facts, using principles of these operations

B9 demonstrate a knowledge of multiplication facts to 9 x 9

B10 demonstrate an understanding of various treatments of remainders in division situations

B11 solve and create word problems involving whole number computations

B12 solve and create word problems involving adding and subtracting decimals (to hundredths)

B13 estimate sums and differences of whole numbers anddecimals

B14 estimate the product or quotient of 2-digit or 3-digitnumbers and single-digit numbers

B15 mentally solve appropriate addition and subtraction computations

B16 mentally multiply 2-digit numbers by 10 or 100

B17 use technology for computations involving many decimal places or large whole numbers

GCO C: Students will explore, recognize,represent, and apply patterns and relationships, both informally and formally.

C1 demonstrate an understanding of the relationship between adding decimals and adding whole numbers

C2 apply the pattern identified when multiplying by increasing powers of ten

C3 use patterns to solve computation problems

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

C5 represent multiplication facts either in a table orgraphicallyC6 complete open sentences of the form a x b=~, a x ~=c, a÷b=~, and a÷~=c

GCO D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

D1 recognize and demonstrate that objects of various shapes can have the same area

D2 recognize and demonstrate that objects of the same area can have different perimeters

D3 measure volume, using non-standard units

D4 estimate and determine the volume of rectangular prisms, using centimetre cubes

D5 recognize that the measure of an angle indicates an amount of turn

D6 estimate and measure angles, using non-standard units

D7 use a thermometer to read temperatures

D8 estimate and measure in millimetres, centimetres, decimetres, metres, and kilometres

D9 estimate and measure area in square centimetres

D10 solve relevant problems involving millilitres and litres,grams and kilograms

D11 relate dimensions and areas of rectangles to factors and products

GCO E: Students will demonstrate spatial sense and apply geometric concepts, properties, and relationships.

E1 draw various nets for rectangular prisms and cubes

E2 construct models for various cylinders, cones, prisms,and pyramids

E3 construct shapes given isometric drawings

E4 explore relationships among 3-D shapes

E5 find all possible composite figures that can be made from a given set of figures

E6 recognize, name, describe, and construct acute and obtuse angles

E7 recognize, name, describe, and construct equilateral,isosceles, and scalene triangles

E8 make generalizations about the angle, side length, and parallel side properties of the various quadrilaterals

E9 sort quadrilaterals under property headings

E10 make generalizations about the number of vertices, edges, and faces of various prisms, pyramids, cones, and cylinders

E11 predict and confirm the results of various 2-D figures under slides, reflections, and quarter/half turns

E12 make generalizations about the reflective symmetry property of the various quadrilaterals

GCO F: Students will solve problems involving the collection, display, and analysis of data.

F1 recognize and use a variety of methods for the collection and organization of data

F2 describe data maxima, minima, range, and frequency

F3 read and interpret bar graphs, line graphs, pictographs,and stem-and-leaf plots

F4 display position, using ordered pairs on a grid

F5 construct bar graphs, pictographs, and stem-and-leafplots

F6 interpolate data from a displayF7 describe data, using the mean

F8 explore real-world issues of interest to students and for which data collection is necessary to determine an answer

GCO G: Students will represent and solve problems involving uncertainty.

G1 predict probabilities as either close to 0, near 1, or near½

G2 cite examples of everyday events with very high or very low probabilities

G3 predict whether one simple outcome is more or less likely than another

G4 use fractions to describe experimental probabilities

A1 identify and model fractions and mixed numbers

A2 interpret and model decimal tenths and hundredths

A3 model and record numbers to 99 999

A4 compare and order whole numbers

A5 compare and order fractions

A6 rename fractions with and without the use of models

A7 compare and order decimals with and without models

GCO B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

B1 add and subtract decimals involving tenths and hundredths, and whole numbers to five digits

B2 demonstrate an understanding of multiplication meanings and applications

B3 demonstrate an understanding of the various meanings of division

B4 multiply 2- and 3-digit numbers by single-digit numbers concretely, pictorially, and symbolically

B5 divide 2- and 3-digit whole numbers by a single-digit divisor

B6 use models informally to add simple fractions with common denominators

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

B8 relate multiplication and division facts, using principles of these operations

B9 demonstrate a knowledge of multiplication facts to 9 x 9

B10 demonstrate an understanding of various treatments of remainders in division situations

B11 solve and create word problems involving whole number computations

B12 solve and create word problems involving adding and subtracting decimals (to hundredths)

B13 estimate sums and differences of whole numbers anddecimals

B14 estimate the product or quotient of 2-digit or 3-digitnumbers and single-digit numbers

B15 mentally solve appropriate addition and subtraction computations

B16 mentally multiply 2-digit numbers by 10 or 100

B17 use technology for computations involving many decimal places or large whole numbers

GCO C: Students will explore, recognize,represent, and apply patterns and relationships, both informally and formally.

C1 demonstrate an understanding of the relationship between adding decimals and adding whole numbers

C2 apply the pattern identified when multiplying by increasing powers of ten

C3 use patterns to solve computation problems

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

C5 represent multiplication facts either in a table orgraphicallyC6 complete open sentences of the form a x b=~, a x ~=c, a÷b=~, and a÷~=c

GCO D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

D1 recognize and demonstrate that objects of various shapes can have the same area

D2 recognize and demonstrate that objects of the same area can have different perimeters

D3 measure volume, using non-standard units

D4 estimate and determine the volume of rectangular prisms, using centimetre cubes

D5 recognize that the measure of an angle indicates an amount of turn

D6 estimate and measure angles, using non-standard units

D7 use a thermometer to read temperatures

D8 estimate and measure in millimetres, centimetres, decimetres, metres, and kilometres

D9 estimate and measure area in square centimetres

D10 solve relevant problems involving millilitres and litres,grams and kilograms

D11 relate dimensions and areas of rectangles to factors and products

GCO E: Students will demonstrate spatial sense and apply geometric concepts, properties, and relationships.

E1 draw various nets for rectangular prisms and cubes

E2 construct models for various cylinders, cones, prisms,and pyramids

E3 construct shapes given isometric drawings

E4 explore relationships among 3-D shapes

E5 find all possible composite figures that can be made from a given set of figures

E6 recognize, name, describe, and construct acute and obtuse angles

E7 recognize, name, describe, and construct equilateral,isosceles, and scalene triangles

E8 make generalizations about the angle, side length, and parallel side properties of the various quadrilaterals

E9 sort quadrilaterals under property headings

E10 make generalizations about the number of vertices, edges, and faces of various prisms, pyramids, cones, and cylinders

E11 predict and confirm the results of various 2-D figures under slides, reflections, and quarter/half turns

E12 make generalizations about the reflective symmetry property of the various quadrilaterals

GCO F: Students will solve problems involving the collection, display, and analysis of data.

F1 recognize and use a variety of methods for the collection and organization of data

F2 describe data maxima, minima, range, and frequency

F3 read and interpret bar graphs, line graphs, pictographs,and stem-and-leaf plots

F4 display position, using ordered pairs on a grid

F5 construct bar graphs, pictographs, and stem-and-leafplots

F6 interpolate data from a displayF7 describe data, using the mean

F8 explore real-world issues of interest to students and for which data collection is necessary to determine an answer

GCO G: Students will represent and solve problems involving uncertainty.

G1 predict probabilities as either close to 0, near 1, or near½

G2 cite examples of everyday events with very high or very low probabilities

G3 predict whether one simple outcome is more or less likely than another

G4 use fractions to describe experimental probabilities