TEKS 5.4C: Generate and Graph Numerical Patterns
Generate and Graph Additive Patterns
About this lesson
Learning Target: I can generate and use numerical patterns to understand and build graphs.
Focuses On:
- Generating an additive pattern in a table given a rule
- Graphing an additive pattern shown in a table
- Choosing graphs that follow a given additive rule
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 an additive pattern as it relates to an input/output table and the x and y coordinates in a coordinate plane.
The three instructional blocks in this lesson are generate patterns, tables to graphs and rules to graphs.
The first instructional block has students complete an input/output table given a rule in the form of y = x+a.
The second instructional block has students use a rule to complete and input-output table and then graph the points generated from the table.
The third instructional block gives students a rule and then has them generate a pattern and graph the points. Students will also identify which graph follows a given additive pattern.
This lesson should be taught after 5.8A and 5.8B.
Grade 5MathTEKS 5.4CGenerate and Graph Multiplicative Patterns
About this lesson
Learning Target: I can create a number pattern using a rule like y = ax and plot the pattern on a graph.
Focuses On:
- Generating a multiplicative pattern in a table given a rule
- Graphing a multiplicative pattern shown in a table
- Choosing graphs that follow a given multiplicative rule
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 a multiplicative pattern as it relates to an input/output table and the x and y coordinates in a coordinate plane.
The three instructional blocks in this lesson are generate patterns, tables to graphs and rules to graphs.
The first instructional block has students complete an input/output table given a rule in the form of of y = ax.
The second instructional block has students use a rule to complete and input-output table and then graph the points generated from the table.
The third instructional block gives students a rule and then has them generate a pattern and graph the points. Students will also identify which graph follows a given multiplicative pattern.
This lesson should be taught after 5.8A and 5.8B.
Grade 5MathTEKS 5.4C