Patterns and Relations

General Outcome

(resource: Learn Alberta)

Use patterns to describe the world and to solve problems.

Achievement Indicators

Specific Outcome 1

• Translate a pattern to a table of values, and graph the table of values (limited to linear graphs with discrete elements).
• Create a table of values from a given pattern or a given graph.
• Describe, using everyday language, orally or in writing, the relationship shown on a graph.

Specific Outcome 2

• Generate values in one column of a table of values, given values in the other column and a pattern rule.
• State, using mathematical language, the relationship in a given table of values.
• Create a concrete or pictorial representation of the relationship shown in a table of values.
• Predict the value of an unknown term, using the relationship in a table of values, and verify the prediction.
• Formulate a rule to describe the relationship between two columns of numbers in a table of values.
• Identify missing elements in a given table of values.
• Identify errors in a given table of values.
• Describe the pattern within each column of a given table of values.
• Create a table of values to record and reveal a pattern to solve a given problem.

Achievement Indicators

Specific Outcome 3

• Write and explain the formula for finding the perimeter of any given rectangle.
• Write and explain the formula for finding the area of any given rectangle.
• Develop and justify equations using letter variables that illustrate the commutative property of addition and multiplication; e.g., a + b = b + a or a x b = b x a.
• Describe the relationship in a given table, using a mathematical expression.
• Represent a pattern rule, using a simple mathematical expression such as 4d or 2n + 1.

Specific Outcome 4

• Identify the unknown in a problem where the unknown could have more than one value, and represent the problem with an equation.
• Create a problem for a given equation with one unknown.
• Identify the unknown in a problem; represent the problem with an equation; and solve the problem concretely, pictorially or symbolically.

Specific Outcome 5

• Model the preservation of equality for addition, using concrete materials (e.g., a balance, pictorial representations), and explain and record the process.
• Model the preservation of equality for subtraction, using concrete materials (e.g., a balance, pictorial representations), and explain and record the process.
• Model the preservation of equality for multiplication, using concrete materials (e.g., a balance, pictorial representations), and explain and record the process.
• Model the preservation of equality for division, using concrete materials (e.g., a balance, pictorial representations), and explain and record the process.