BC Education - Appendix A: Learning Outcomes

Appendix A is divided into 9 sections:

Number (Number Concepts)

Students use numbers to describe quantities. They represent numbers in multiple ways.

It is expected that students will:

Grades K to 1	Grades 2 to 3	Grade 4
Recognize, describe, and use numbers from 0 to 100 in a variety of familiar settings	Develop a number sense for whole numbers from 0 to 1000 and common fractions to tenths	Demonstrate a number sense for whole numbers from 0 to 10 000 and for proper fractions
count orally by 1s, 2s, 5s, and 10s to 100 estimate and count objects in a set (0 to 50) and compare estimates to the actual number recognize, build, compare, and order sets of objects (0 to 50) using both comparative and numerical terms read number words up to 10 explore, represent, and describe numbers up to 50 in a variety of ways use a calculator or computer to explore and represent numbers up to 100 demonstrate and explain orally an understanding of "half" as part of a whole	estimate and then count an increased number of objects in a set, and compare the estimate with the actual number skip count forward and backward by 2s, 5s, 10s, 25s, and 100s to 1000, using starting points that are multiples; and skip count forward using random starting points recognize, build, compare, and order sets that contain 0 to 1000 elements round numbers to nearest 10 and 100 read and write number words to 100 and numerals to 1000 use ordinal numbers to 100 explore, represent, and describe numbers to 1000 in a variety of ways, including the use of calculators and computers demonstrate place-value concepts concretely and pictorially to give meaning to numbers 0 to 1000 demonstrate whether a number is even or odd recognize and explain whether a number is divisible by 2, 5, or 10 demonstrate and explain in a variety of ways an understanding of halves, thirds, fourths, fifths, and tenths as part of a region or a set	estimate and then count the number of objects in a set (0 to 1000), and compare the estimate with the actual number use skip counting (both forward and backward) to support their understanding of pattern in multiplication and division compare and order numbers up to 10 000 read and write number words to 1000 round numbers to the nearest 10, 100, and 1000 represent and describe numbers to 10 000 in a variety of ways demonstrate concretely, pictorially, and symbolically place-value concepts to give meaning to numbers up to 10 000 sort numbers into categories using one or more attributes demonstrate an understanding of hundredths as part of a region or set connect proper fractions to decimal fractions (tenths and hundredths) using manipulatives, diagrams, and symbols

It is expected that students will:

Grade 5	Grade 6	Grade 7
Demonstrate a number sense for whole numbers, from 0 to 100 000, and will explore proper fractions and decimal fractions	Develop a number sense for common fractions and explore number sense for whole numbers	Demonstrate a number sense for decimal fractions and integers (including whole numbers)
demonstrate concretely and pictorially an understanding of place value from hundredths read and write numerals to a million read and write number words to 100 000 use estimation strategies for quantities up to 100 000 recognize, model, and describe multiples, factors, composites, and primes compare and/or order whole numbers represent and describe proper fractions concretely, pictorially, and symbolically demonstrate and describe equivalent fractions compare and order proper and decimal fractions to hundredths	read and write numerals greater than a million use estimation strategies for quantities up to a million distinguish relationships among multiples, factors, composites, and primes represent positive powers of numbers concretely, pictorially, and symbolically use power, base, and exponent to represent repeated multiplication explain the meaning of integers by extending their counting to numbers less than 0 identify practical applications of integers read and write numbers to thousandths demonstrate and explain the meaning of improper fractions and mixed numbers (positive) concretely and pictorially demonstrate and describe equivalent mixed numbers and improper fractions concretely and pictorially compare and order improper fractions, mixed numbers, and decimal fractions to thousandths demonstrate and explain the meaning of ratio concretely and pictorially demonstrate and explain the meaning of percentage concretely and pictorially	recognize, model, identify, and describe common multiples, common factors, least common multiples, greatest common factors, and prime factorization write whole numbers as expanded numerals using powers of 10 and in scientific notation use divisibility rules to determine whether a number is divisible by 2, 3, 4, 5, 6, 8, 9, 10, or 11 read and write numbers to any number of decimal places recognize and illustrate that all fractions and mixed numbers can be represented in decimal form (including terminating and repeating decimal fractions) convert from terminating decimal fractions to common fractions and from single-digit repeating decimal numbers to common fractions using patterns demonstrate concretely and pictorially that the sum of opposite integers is 0 represent integers in a variety of concrete, pictorial, and symbolic ways compare and order integers

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Revised: October 20, 1997

BC Ministry of Education