PBS
From Patterns of Input and Output to Algebraic Equations
Watch video clips titled, "Frog Hops Part I" and "Frog Hops Part II," then discuss patterns demonstrated in the videos. Learners will complete an algebraic expressions and equations handout and discuss the answers. They will be able to...
CK-12 Foundation
Function Rules for Input-Output Tables: Whats My Rule?
What's the rule that makes it true? A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
Project Maths
Introduction to Patterns
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra lesson in a compilation of four uses a series of activities to build the concept of patterns using multiple...
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 2
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
Curated OER
The Beauty of Number Patterns
Teaching your child about patterns can be a fun and motivating experience.
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 1
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Curated OER
Mixed Tables
Who knows how to operate these multiplication machines? Young mathematicians examine five machines, each with a specific function (i.e. x3) to transform the input numbers to output numbers. They send five numbers through each machine,...
Curated OER
Patterns, Relations, and Functions
Students investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This activity helps to develop the skill of number sense.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a instructional activity that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values...
Kenan Fellows
Least Squares Linear Regression in R
The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...
Curated OER
Number Patterns
Fourth graders recognize patterns in a series of numbers and symbols. They also make their own patterns and explain them in writing. After practicing with a worksheet imbedded in this plan, 4th graders attempt to make up their own number...
Curated OER
Monster Frog Function Machine
Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the lesson...
Curated OER
Graphing Linear Functions
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
Curated OER
Patterns and Sequence
Sixth graders explore patterns and sequencing. As a class, they name numbers that fit in a pattern. Students use pattern blocks to construct and identify patterns. They use a calculator to create input and output functions.
Curated OER
Function Machine
Second graders decipher a pattern using input and output. In this functions activity, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...
Curated OER
Patterns, Relations, and Functions: Lesson 7: Input/ Output Tables
Fourth graders determine how to complete input/output tables. They express rules for input/output or function tables. They complete a worksheet that it is associated with the lesson.
Curated OER
Patterns, Relations, and Functions: Lesson 3: Numerical Patterns
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
Curated OER
Input- Output Tables
In this multi-use input-output table worksheet, students fill in 20 tables to determine the rule for a math sequence or pattern. There are no directions given with this worksheet.
Shodor Education Foundation
Sequencer
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...