Georgia 5.PAR.6

5.PAR.6 is a Georgia mathematics standard. These are the expectations under it.

• 5.PAR.6.1

  Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms by completing a table.

• 5.PAR.6.2

  Represent problems by plotting ordered pairs and explain coordinate values of points in the first quadrant of the coordinate plane.

01

What Students Need to Do

Students use a starting number and a repeated rule to generate terms in a pattern. They organize terms in a table, compare patterns, explain relationships, and solve context problems.

02

What Mastery Looks Like

Students correctly extend a pattern, complete missing terms, and state the rule. They compare two patterns and use the relationship to answer a question or predict a later term.

03

Common Misconceptions

Students may apply the rule only once instead of repeating it for each new term. They may ignore the starting number or describe a relationship that fits only one pair of terms.

04

How to Assess It

Give this exit ticket: “Plan A starts at 5 and adds 3 each week. Plan B starts at 10 and adds 6. List five terms and explain the relationship.”

1. 01

   Build two cube towers, adding 2 cubes to one and 4 to the other each round, then record and compare five terms.

2. 02

   Ask students to explain in writing how changing the starting number affects a pattern when the repeated rule stays the same.

3. 03

   Play a matching game with cards showing starting numbers, rules, sequences, and descriptions of relationships between two patterns.

4. 04

   Compare two weekly savings plans using a table, then decide when each plan reaches a given amount.

• K.PAR.6.1

  Create, extend, and describe repeating patterns with numbers and shapes, and explain the rationale for the pattern.

• 2.PAR.4.1

  Identify, describe, and create a numerical pattern resulting from repeating an operation such as addition and subtraction.

• 4.PAR.3.2

  Use input-output rules, tables, and charts to represent and describe patterns, find relationships, and solve problems.