Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
EngageNY
Methods for Selecting a Random Sample
Random sampling is as easy as choosing numbers. Teams use random numbers to create a sample of book lengths from a population of 150 books. The groups continue by developing a technique to create samples to compare from two populations...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson plan has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as...
EngageNY
Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
Southwestern Medical Center
Field Epidemiology: Investigation of an Unknown Disease
More than 90 percent of the people in a building have come down with an illness, and it is your job to investigate. Teachers give scientists the data needed to decide what is important and how they can solve the mystery....
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Virginia Department of Education
Permutations and Combinations
Counting is not all it adds up to be — sometimes it involves multiplying. The lesson introduces permutations and combinations as ways of counting, depending upon whether order is important. Pupils learn about factorials and the formulas...
Curated OER
Eccentricity
In this eccentricity learning exercise, students solve and complete 20 various types of problems that include the eccentricity of an ellipse and a hyperbola. First, they graph each ellipse and list the variable values, calculating the...
Curated OER
Speed, Distance and Time
In these calculating speed, distance, and time worksheets, 6th graders review information, formulas, and examples, and solve word problems calculating average speeds, distance traveled, time taken, convert time measurements and speeds,...
Curated OER
Integration
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, high schoolers graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic...
Curated OER
Solving Quadratic Equations
In this Algebra I/Algebra II worksheet, students solve quadratic equations by graphing and by taking the square root of both sides. The two page worksheet contains a combination five multiple choice and free response...
Curated OER
The Volume of a Hypersphere
In this volume of a hypersphere instructional activity, students solve 4 problems where they find the volume formula and calculate the volume given the dimensions of the hypersphere.
Curated OER
Speed, Distance and Time
In this speed and distance instructional activity, learners calculate the average speed of various items. They determine the speed of cars, trains, worms, and children running. Students also determine the amount traveled in a given...
Curated OER
Velocity
In this pre-calculus worksheet, students calculate the velocity of a linear graph by observing the slope of a line. There are 10 velocity questions.
Curated OER
Quartiles, Percentiles, and Cumulative Frequency
In this statistics lesson, 11th graders are asked to calculate the percentiles, quartiles and cumulative frequency given different graphs and data. There are 6 questions with an answer key.
Curated OER
Functions, Domains and Composites
In this functions, domains and composites activity, students solve and complete 23 various types of problems. First, they graph the given trigonometric function on a coordinate plane. Then, students label three points on each graph and...
Curated OER
Integrals
In this integrals worksheet, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points....
Curated OER
Magnetic Storms
In this magnetic storms and Earth's magnetic field learning exercise, learners use a bar graph showing the Kp Index for planetary variability. Students use the bar graph to answer 3 questions about the solar storms and their Kp values.
Curated OER
Properties of Exponential Functions
In this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.