ALEX | Alabama Learning Exchange

From Patterns of Input and Output to Algebraic Equations

Classroom Resource Information

Title:

From Patterns of Input and Output to Algebraic Equations

URL:

https://aptv.pbslearningmedia.org/resource/vtl07.math.algebra.var.lpfunction/from-patterns-of-input-and-output-to-algebraic-equations/

Content Source:

PBS

Type:

Lesson/Unit Plan

Overview:

In this Cyberchase activity, students watch a video clip in which Hacker creates a cyberfrog with numeric buttons that produce different numbers of hops. The relationship between input and output values is used to teach students how to use algebraic expressions and, subsequently, equations.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 5

2. Generate two numerical patterns using two given rules and complete an input/output table for the data.

a. Use data from an input/output table to identify apparent relationships between corresponding terms.

b. Form ordered pairs from values in an input/output table.

c. Graph ordered pairs from an input/output table on a coordinate plane.

Unpacked Content

Evidence Of Student Attainment:

Students:
Use two related rules to

Generate numerical patterns and record as ordered pairs.
Graph ordered pairs consisting of corresponding terms.
Identify and explain relationships between corresponding terms.

Example: Given the rule "add 1 starting at 0", and "add 2 starting at 0," explain the terms in one sequence as 1/2 the corresponding terms in the other sequence, or the terms in one sequence are twice the corresponding terms in the other sequence.

Teacher Vocabulary:

Number pattern
Graph
Coordinate plane
X-axis
Y-axis
Origin
X-coordinate
Y-coordinate
Ordered pair
Generate
Sequence

Knowledge:

Students know:

Strategies to identify numerical patterns and recognize the relationship between the terms in the pattern.
Reasoning strategies to generate a numerical pattern which follow a given rule.

Skills:

Students are able to:

Generate two numerical patterns using two given rules.
Complete an input/output table for data.
Identify relationship between terms in an input/output table.
Form ordered pairs from an input/output table.
Graph ordered pairs on a coordinate plane.

Understanding:

Students understand that:

relationships between two numerical patterns can be represented by ordered pairs and graphed in the first quadrant of the coordinate plane.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.5.2.1: Construct repeating and growing patterns with a variety of representations.
M.5.2.2: Continue an existing pattern.
M.5.2.3: Identify arithmetic patterns (including patterns in the addition table or multiplication table).

Prior Knowledge Skills:

Generate two numerical patterns using two given rules.
Complete an input/output table for data.
Identify relationship between terms in an input/output table.
Form ordered pairs from an input/output table.
Graph ordered pairs on a coordinate plane.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.5.2 Given a rule, Identify and extend numerical patterns (e.g., given the rule "Add 3" and the starting number 0).

Tags:

algebraic expression, input, output, table

License Type:

Custom Permission Type
See Terms: https://aptv.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Text Resources: Content is organized under headings and subheadings

Comments

This resource provided by:

Author:

Stephanie Carver

ALEX Classroom Resource

From Patterns of Input and Output to Algebraic Equations