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