Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
Curated OER
Doubling and Halving
In this double the numbers and half the numbers instructional activity, students problem solve by doubling, complete an input-output table by halving, and play a dice game and doubling the numbers. Students solve 28 problems.
Curated OER
Making Connections
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Houghton Mifflin Harcourt
Write Function Rules Using Two Variables
Fabulous functions are the focus of this handout. Middle school math pupils complete input/output tables and answer questions about the values. Each of the three equations contains two variables. This simple learning exercise would be...
West Contra Costa Unified School District
Evaluating Functions
Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Yummy Math
Diapers
Most of your students probably think a car or college is the first big expense their parents could help them with, but as it turns out these kids have been costing their parents for their whole lives. Have they ever considered how much...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Curated OER
Guess My Rule
Students drill on math patterns, functions and Algebra. They construct and use tables to solve problems associated with mathematical relationships and identify a rule/equation. Students comprehend input/output to determine the...
National Nanotechnology Infrastructure Network
Lines on Paper - Laser Box
See what you cannot see by getting a little creative. An intriguing lesson has learners use lasers to explore X-ray diffraction. Given a box with unknown structures, they shine a laser through the box and interpret the results....
Curated OER
Latch Circuits
For this circuit worksheet students complete a series of short answer questions using circuit diagrams to show the input and output of different switches.
Curated OER
The Slant on Slides Lab
In this inclined planes worksheet, students investigate the effort force needed to move a 1 kg weight up a ramp to different distances on the ramp. Students calculate the work input and output for each trial as well as the efficiency of...
Curated OER
Integers and Functions
In this integers and functions worksheet, students solve 6 word problems involving function tables and writing equations to match the story.
Curated OER
Binary Math Circuits
In this Algebra II/Pre-calculus worksheet, students analyze and build digital circuits. The six page worksheet contains eleven problems. Answers not included.
Curated OER
The Bicycle as a System
In this bicycle as a system worksheet, students are assigned a subsystem of a bicycle, such as the wheel, the brakes and steering, or the frame. Each group of students identifies the parts, the function, the input, and the output of the...
Curated OER
Boolean Algebra
In this physics worksheet, learners complete circuit true tables and solve 67 questions on Boolean algebra. They identify different logic gate circuits.
Inside Mathematics
House Prices
Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...
Curated OER
Decimals and Batting Averages
In this decimals and batting averages worksheet, students compute 9 batting averages to complete the chart, then answer 5 questions about the data in the chart.
Curated OER
TAKS 5th Grade Daily Upkeep 9
In this mixed math review worksheet, 5th graders solve a fraction problem, find the difference between decimals, and determine a true statement about a geometric shape. They choose the answer to multiple choice questions.
Curated OER
Stairs and Slope
In this stairs and slope worksheet, 11th graders solve and complete 12 various problems that include identifying stairs that meet the given guidelines using slope. First, they use a ruler to measure the risers and treads from one set of...
Curated OER
Function-al Machines and Spaghetti Graphs
Sixth graders identify the relationship between patterns and functions. In this algebra lesson plan, 6th graders use a "Functional Machine" to identify the rule. Students use a function table to plot the points using play dough dots.