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Illustrative Mathematics
Rainfall
Find the how long it has been raining based upon the amount of rainfall. Scholars analyze a table of the amount of rainfall as a function of time. Pupils first determine whether the function is invertible, then they find and interpret...
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
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...
Virginia Department of Education
Quadratic Modeling
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
SHS Algebra
Linear vs. Exponential Functions Tasks
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
Curated OER
Function Tables
In this function table worksheet, 5th graders solve and complete 10 different function tables shown. First, they determining the ordered pairs in each table. Then, students use number patterns to complete each table filling in the output...
Curated OER
Tables and xy-Coordinates
Use this graphing functions instructional activity to have learners complete four tables and graph the results on the included coordinate grid.
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
Balanced Assessment
Books from Andonov
To examine mathematical functions in a modeling situation pupils combine quadratic and step functions to represent a presented scenario. They both graph and write a function to represent data shown in a table.
Howard County Schools
To Babysit or Not to Babysit?
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
CCSS Math Activities
Out of the Swimming Pool
Out of the swimming pool and into the math classroom! Young mathematicians analyze two linear functions representing the number of liters of water in a pool as it drains over time. They must evaluate functions, interpret function...
Howard County Schools
Generous Aunt
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
Balanced Assessment
Dot Patterns
Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...
Illustrative Mathematics
Hours of Daylight 1
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
Balanced Assessment
Melons and Melon Juice
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
Curated OER
Hands On: Linear Equations
In this linear equation activity, 5th graders complete the equations, and fill in the function tables, before graphing the equation on the coordinate planes in 4 problems . They use equations with variables to solve 2 problems.
Curated OER
Complete the Table--Rule: Add 4
In this addition worksheet, students add the number 4 to each of ten one digit numbers in an in/out table. Students write their answers on the chart.
Curated OER
Multiply with Mixed Numbers: Practice
In this mixed number multiplication worksheet, students multiply the mixed numbers and write each product in simplest form. Students then complete the multiplication equations by finding the missing numbers. Students also complete the...
Curated OER
Variables and Functions
In this algebra worksheet, 5th graders solve 6 word problems by finding the value of variable in function tables. They use the information to solve the problems.
Curated OER
Integers and Functions
In this integers and functions activity, students solve 6 word problems involving function tables and writing equations to match the story.
Curated OER
Worksheet 10: Continuous Functions
In this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
Curated OER
Exercise Set 1.5: Inverse Functions
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
Curated OER
Relations and Functions
In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...