4.PAR.3Patterns, Factors & Multiples

Expectations

• 4.PAR.3.1

  Generate both number and shape patterns that follow a provided rule.

• 4.PAR.3.2

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

• 4.PAR.3.3

  Find factor pairs in the range 1–100 and find multiples of single-digit numbers up to 100.

• 4.PAR.3.4

  Identify composite numbers and prime numbers and explain the relationship with the factor pairs.

Georgia Milestones coverage

• Mathematics Grade 4 (EOG) · Patterning & Algebraic Reasoning

  Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers.

  about 12% of the test · 7 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Given a number or shape pattern, extend or complete the pattern. Given an input-output rule and a table, find a missing value in the table. Identify a multiple of a single-digit number up to 100.

Developing

Generate a number or shape pattern based on a given rule. Match an input-output rule to a table. Given a number in the range 1–100, identify a factor pair of the number. Determine whether a given whole number in the range of 1–100 is prime or composite.

Proficient

Identify features of a number or shape pattern that are not explicit in the given rule. Use input-output rules and tables to represent and describe patterns. Given a number in the range 1–100, find all factors of the number. Given a single-digit number, find all multiples of the number up to 100. Explain the relationship between whether a number is prime or composite and its factor pairs.

Distinguished

Solve real-life problems or find relationships using an input-output table. Solve real-life problems involving factors and multiples.

The same standard across grades

1. Grade 1 · 1.PAR.3

   Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations.

2. Grade 3 · 3.PAR.3

   Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.

3. Grade 4 · 4.PAR.3 (this standard)

   Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers.

4. Grade 7 · 7.PAR.3

   Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.

5. Grade 8 · 8.PAR.3

   Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real phenomena.