Atlantic Canada Mathematics Curriculum Outcomes:

 

Multiplication and Division

 

 

·        Primary

·        Grade one

·        Grade two

·        Grade three

·        Grade four

·        Grade five

·        Grade six

 

(Outcomes in parenthesis are marginally related to multiplication and division)

 

NOTE: Within the curriculum outcomes specified, are a variety of useful approaches to teaching multiplication and division.

 

 

PRIMARY:

KSCO (iii) By the end of grade 3, students will be expected to create and model problem

situations involving whole numbers using one or more of the four basic       operations.

 

SCO B1 (count the results when small groups are combined)

       B2 (count the results when small groups are separated)

 

 

 

Grade One:

 

KSCO (i)

SCO B1: (recognize that addition is used to represent the joining of two groups.)

 

Note: it is assumed that in order to learn how to multiply and divide, students must learn how to add and subtract first.

 

SCOB2: (recognize that subtraction is used to represent separating situation.)

 

KSCO (ii)

SCOB3: (recognize the relationship between addition and subtraction.)

SCOC5: (use number patterns to help solve addition and subtraction questions.)

 

 

Grade Two:

 

KSCO (i)

SCOA2: count in a variety of ways

SCOA5: describe numbers in a variety of ways

SCOB1: recognize that multiplication can be used to determine the total amount in groups of equal size.

SCOB2: recognize that division can mean determining how many groups of a fixed size are in a larger groups or fair sharing.

 

KSCO (ii) and (iii)

SCOB3: (demonstrate an understanding that addition can be used to solve subtraction problems and vice versa.)

SCOB4: (create word problems involving addition and subtraction.)

 

 

Grade Three:

 

KSCO (i)

SCOB1: recognize several meanings for multiplication.

SCOB2: recognize several meanings for division.

 

KSCO (ii)

SCOB3: recognize the relationship between multiplication and division.

 

KSCO (iii)

SCOB4: (solve and create problems involving addition and subtraction.)

SCOB5: solve and create problems involving multiplication and division with small numbers.

 

KSCO (v)

SCOB7: recognize principles of multiplication and division.

SCOB8: relate multiplication and division facts.

 

KSCO (vi)

SCOB10: begin to estimate multiplication and division situations.

 

KSCO (ii)

SCOC3: use and recognize the patterns in a multiplication table.

 

KSCO (iii)

SCOC4: record a repeated addition pattern using multiplicative notation.

SCOC5: recognize the meaning of open sentences of the forms:

                                                         A % B = /

                                                 A % 0 = C

                                                         0 % B = C

 

 

Grade Four:

 

KSCO (i)

SCOB2: demonstrate an understanding of multiplication meanings and applications.

SCOB3: demonstrate an understanding of the various meanings of division.

SCOB4: multiply 2 or 3 digit numbers by single digit numbers concretely, pictorially, and               symbolically.

SCOB5: divide 2 or 3 digit whole numbers by a single digit divisor.

 

KSCO (iv)

SCOB8: relate multiplication and division facts, using principles of these operations.

SCOB9: demonstrate a knowledge of multiplication facts to 9%9.

 

KSCO (vi)

SCOB16: mentally multiply 2 digit numbers by 10 or 100.

 

KSCO (i)

SCOC2: apply the pattern identified when multiplying by increasing powers of ten.

 

KSCO (ii) and (iii)

SCOC4: understand how a change in either a or b in a + b, a – b, a % b, or a + b will affect the result of the computation.

SCOC5: represent multiplication facts in a table or graphically.

SCOC6: complete open sentences of the forms: A % B = ,

                                A % - = C, A + B = 0, and A + 0 = C

 

 

Grade Five:

 

KSCO (i)

SCOB2: multiply 2, 3, and 4 digit numbers by 1 digit numbers.

SCOB3: find the product of 2 digit numbers.

SCOB4: divide 2, 3, and 4 digit numbers by single digit divisors and investigate division by 2 digit divisors.

SCOB6: divide decimal numbers by single digit whole numbers.

 

KSCO (iv)

SCOB9: solve and create multiplication and division problems involving whole numbers and/or decimals.

 

KSCO (vi)

SCOB13: perform appropriate mental multiplication with facility.

SCOB14: divide numbers mentally when appropriate.

SCOB15: multiply whole numbers mentally by 0.1, 0.01, 0.001.

 

KSCO (i)

SCOC2: recognize and explain the patterns in dividing by 10, 100, and 1000 and/or in multiplying by 0.1, 0.01, and 0.001.

SCOC3: solve problems using patterns.

 

KSCO (ii)

SCOC4: rearrange factors to make multiplication simpler.

 

 

Grade Six:

 

KSCO (i)

SCOB1: compute products of whole numbers and decimals.

SCOB2: model and calculate the products of two decimals.

SCOB3: compute quotients of whole numbers and decimals.

SCOB4: model and calculate the quotients of two decimals.

 

KSCO (iv)

SCOB7: demonstrate an understanding of the function nature of input-output situations.

SCOB8: solve and create relevant addition, subtraction, multiplication, and division problems involving decimals.

 

KSCO (v)

SCOB9: (estimate products and quotients involving whole numbers only, whole numbers and decimals, and decimals only.)

 

KSCO (vi)

SCOB10: divide numbers by 0.1, 0.01, and 0.001 mentally.

 

KSCO (i)

SCOC2: use patterns to explore division by 0.1, 0.01, and, 0.001.