Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
Curated OER
Transformations of Functions 2
Solving problems on the TI graphing calculator can be quite easy. Students observe the properties of transformation of functions and create a formula for the transformation.
Curated OER
Functions & Algebra
Students examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
Curated OER
Continuous Probability Distributions
In this continuous probability distribution instructional activity, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities...
Curated OER
Relations and Functions
Students differentiate between a relation and a function. In this algebra lesson plan, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function instructional activity, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of...
Curated OER
Discussion Sheet 3: Function
In this function instructional activity, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page instructional activity contains approximately nine multi-step problems.
Curated OER
Discussion Sheet 1: Domain & Range of a Function
In this domain and range instructional activity, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page instructional activity contains nine...
Curated OER
Discussion Sheet 2
In this math worksheet, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
Algebra 2 Desmos Graphing Project
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
EngageNY
Patterns in Scatter Plots
Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...
Illustrative Mathematics
Temperature in Degrees Fahrenheit and Celsius
Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...
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.
Virginia Department of Education
Determining Direct Variation
Once learners realize what direct variation is, they see it's just a type of linear function. The lesson poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts and ideas for...
Illustrative Mathematics
Temperature Conversions
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
Shodor Education Foundation
Possible or Not?
What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.
Ohio Literacy Resource Center
Solving Systems of Linear Equations Graphing
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet, and an...
Curated OER
Basketball Bounces, Assessment Variation 1
This highly scaffolded, summative assessment tasks learners to choose the model that represents the height of a bouncing basketball given the data in graph and table form. Learners then use the model to answer questions about the...
Radford University
Fuel Efficient Function Activity
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.