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
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.
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...
Shodor Education Foundation
Graphit
No graphing calculator? No worries, there's an app for that! Young mathematicians use an app to graph functions. In addition, they can also plot data points.
Curated OER
Industrialization, Chemicals and Human Health - Math
Learners review the units of the metric system, and practice estimating measures before actually converting between the two systems of measurement. They participate in activities to visualize a concentration of one part per million....
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
PBL Pathways
Do Homework?
To complete homework or not to complete homework ... that is the question. Decide whether it makes a difference on finals by doing homework. Individuals create a scatter plot and find a line of best fit for data on the percent of...
Concord Consortium
Be Well
How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...
Illustrative Mathematics
Graphs of Compositions
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Curated OER
Viral Marketing
What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...
Curated OER
Investigation - Patterns/Functions
Students will display the first five rows of Pascal's Triangle and discuss in their groups what patterns they see in the rows of numbers. They will give responses and discuss that these numbers form what is called Pascal's Triangle.
Curated OER
Investigation - Patterns/Functions
Students explore one-to-one correspondence. Through activities, students examine rhythm and patterns. From the patterns discovered, students create a visual representation of the pattern with blocks.
Curated OER
Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Curated OER
Function or Not a Function
Graphing linear equations on the TI is easy! Through examination of graphs and identification if it is a function or not, this lesson can relate to the real world.
Curated OER
Application of Function Composition
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
Curated OER
Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Curated OER
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Curated OER
Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
Curated OER
Differentiating Special Functions
For this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the...
Texas Instruments
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
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