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Grade Six

 GRADE SIX

 

 

                      GCO A: Students will demonstrate number sense and apply number theory concepts.  Students will be expected to:

A1   represent large numbers in a variety of forms

A2   represent fractions and decimals

A3   write and interpret ratios, comparing part-to-part and part-two-whole

A4   demonstrate an understanding of equivalent ratios

A5   demonstrate an understanding of the concept of percent as a ratio

A6   demonstrate an understanding of the meaning of a negative integer

A7   read and write whole numbers in a variety of forms

A8   demonstrate an understanding of the place-value system

A9   relate fractional and decimal forms of numbers

A10 determine factors and common factors

A11 distinguish between prime and composite numbers

 

 

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

B1   compute products of whole numbers and decimals

B2   model and calculate the products of two decimals

B3   compute quotients of whole numbers and decimals

B4   model and calculate the quotients of two decimals

B5   add and subtract simple fractions using models

B6   demonstrate an understanding of the function nature of input-output situations

B7           solve and create relevant addition, subtraction, multiplication, and division problems involving whole numbers

B8           solve and create relevant addition, subtraction, multiplication and division problems involving decimals

B9           estimate products and quotients involving whole numbers only, whole numbers and decimals, and decimals only

B10 divide numbers by 0.1, 0.01, and 0.001 mentally

B11 calculate sums and differences in relevant contexts by using the most appropriate method

B12 calculate products and quotients in relevant contexts by using the most appropriate method

 

 

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

                Students will be expected to:

C1   solve problems involving patterns

C2   use patterns to explore division by 0.1, 0.01, and 0.001

C3           recognize and explain how changes in base or height will affect areas of rectangles, parallelograms, or triangles

C4           recognize and explain how an increase in height, width, or length of a rectangular prism changes its volume

C5   recognize and explain how the change in one term of a ratio affects the other term

C6   represent equivalent ratios using tables and graphs

C7   represent square and triangular numbers concretely, pictorially, and symbolically

C8   solve simple linear equations using open frames

C9   demonstrate understanding of the use of letters to replace open frames

 

 

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

D1   use the relationship among particular SI units to compare objects

D2   describe mass measurements in tonnes

D3   demonstrate an understanding of the relationship between capacity and volume

D4   estimate and measure angles using a protractor

D5   draw angles of a given size

D6   continue to solve measurement problems involving length, capacity, area, volume, mass, and time

D7           demonstrate an understanding of the relationships among the base, height, and area of a parallelogram

D8           demonstrate an understanding of the relationship between the area of a triangle and the area of a related parallelogram

D9           demonstrate an understanding of the relationship among the three dimensions of a rectangular prism and its volume and its surface area

 

 

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

E1    describe and represent the various cross-sections of cones, cylinders, pyramids, and prisms

E2    make and interpret orthographic drawings of 3-D shapes made with cubes

E3    make and apply generalizations about the sum of the angles in triangles and quadrilaterals

E4            make and apply generalizations about the diagonal properties of trapezoids, kites, parallelograms, and rhombi

E5    sort the members of the quadrilateral “family” under property headings

E6    recognize, name, describe, and represent similar figures

E7    make generalizations about the planes of symmetry of 3-D shapes

E8            make generalizations about the rotational symmetry property of all members of the quadrilateral “family” and of regular polygons

E9    recognize and represent dilatation images of 2-D figures and make connections to similar figures

E10  predict and represent the result of combining transformations

 

 

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

F1    choose and evaluate appropriate samples for data collection

F2    identify various types of data sources

F3    plot coordinates in four quadrants

F4    use bar graphs, double bar graphs, and stem-and-leaf plots to display data

F5    use circle graphs to represent data proportionally

F6    interpret data represented in scatterplots

F7    make inferences from data displays

F8    demonstrate an understanding of the differences among mean, median, and mode

F9    explore relevant issues for which data collection assists in reaching conclusions

 

 

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

G1   conduct simple simulations to determine probabilities

G2   evaluate the reliability of sampling results

G3   analyse simple probabilistic claims

G4   determine theoretical probabilities

G5           identify events that could be associated with a particular theoretical p


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