TEKS 5.4D: Additive vs. Multiplicative Patterns
Compare Additive and Multiplication Patterns in a Table
About this lesson
Learning Target: I can identify additive and multiplicative numerical patterns in a table.
Focuses On:
- Determining if a pattern in a table is additive or multiplicative
- Explaining how to determine the pattern in a table
Builds On:
3.5E:
Represent real‐world relationships using number pairs in a table and verbal descriptions.
4.5B:
Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.
Next Level:
6.6C:
represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
Read More:
This lesson is designed to support student understanding of input/output tables and how they represent additive and multiplicative patterns.
The two instructional blocks in this lesson are additive or multiplicative and explaining patterns.
The first instructional block begins by modeling ways to determine if a table represents an additive or multiplicative pattern. Students are asked to identify the operation used in the table and explain how they determined that information.
The second instructional block progresses as it asks students to extend the pattern through a rule by evaluating what is happening from the input to the output in a table.
This lesson should be taught before 5.4C.
Grade 5MathTEKS 5.4DCompare Additive and Multiplication Patterns in a Graph
About this lesson
Learning Target: I can recognize the difference between additive and multiplicative numerical patterns in a graph.
Focuses On:
- Determining if a pattern in a graph is additive or multiplicative
- Explaining how to determine the pattern in a graph
Builds On:
3.5E:
Represent real‐world relationships using number pairs in a table and verbal descriptions.
4.5B:
Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.
Next Level:
6.6C:
represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
Read More:
This lesson is designed to support student understanding of graphs and how they represent additive and multiplicative patterns.
The two instructional blocks in this lesson are additive or multiplicative and explaining patterns.
The first instructional block begins by modeling ways to determine if a graph represents an additive or multiplicative pattern. Students are asked to take the coordinates from a graph and put them into the table. Students then determine the operation used in the graph and table and explain how they determined that information.
The second instructional block progresses as it asks students to extend the pattern through a rule by evaluating what is happening from graph and then from the input to the output in a table.
This lesson should be taught before 5.4C.
Grade 5MathTEKS 5.4D