University of Nottingham
Mathematics Assessment Project: Modeling Population Growth: Having Kittens
This activity unit guides students in developing strategies for modeling problems. The task focuses on investigating a cat shelter's claims about the rate of cat population growth. The unit includes a full lesson plan, examples of...
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Science Education Resource Center at Carleton College
Serc: Investigation of Heat Capacity and Specific Heat
A lab experiment where students use different temperatures of water and solids to study specific heat and heat capacity. By applying mathematical equations, students can use their data to calculate specific heat and heat capacity. Lesson...
ClassFlow
Class Flow: Math Investigation
[Free Registration/Login Required] In this lesson students will investigate the effect of varying the starting number with the same route versus varying the route with the same starting number and investigate the effect of applying the...
Illustrative Mathematics
Illustrative Mathematics: S cp.a.2, S cp.a.3, S cp.a.4 & S cp.a.5: The Titanic 2
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Some believe that the rescue procedures favored the wealthier first class passengers. Data on survival of...
Illustrative Mathematics
Illustrative Mathematics: F Bf 1,000 Is Half of 2,000
This task is about an online mathematics organization that is trying, over a four-year period, to generate 2,000 math problems that cover all grades. This real-life modeling task could serve as a summative exercise that draws on many...
Illustrative Mathematics
Illustrative Mathematics: A Sse Mixing Fertilizer
A landscaping company prepares two mixtures of fertilizer. In this task, students investigate what happens to the value of an expression when a quantity is changed. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: S cp.a.4, S cp.a.5 and S cp.b.6: The Titanic 3
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Some believe that the rescue procedures favored the wealthier first class passengers. Other believe that the...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Illustrative Mathematics
Illustrative Mathematics: G Srt Dilating a Line
In this task, students investigate a dilation of a line segment and how the length of the dilation relates to the scale factor. Aligns with G-SRT.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Mg Solar Eclipse
In this task, young scholars investigate why total solar eclipses are rare. They will learn that, in addition to requiring the positioning of the Sun, Moon, and Earth, the Moon can only completely block out the Sun when it is closest to...
Illustrative Mathematics
Illustrative Mathematics: A Apr Trina's Triangles
In this task, students investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Predicate Calculus
The resource investigates predicate calculus. The tutorial examines propositional calculus, universal quantifiers, mathematical statements, and divisibility. Students learn about the logic concepts through notes and examples. Practice...
Illustrative Mathematics
Illustrative Mathematics: 6.ee,ns,rp; 8.ee,f Pennies to Heaven
The goal of this task is to give students a context to investigate large numbers and measurements. Students need to fluently convert units with very large numbers in order to successfully complete this task. The total number of pennies...
Illustrative Mathematics
Illustrative Mathematics: G Gmd, G Mg Tennis Balls in a Can
For this task, students investigate the volume of tennis balls and their cylindrical container, the empty space around the balls, different ways of slicing them, and what their visualizations will look like. Aligns with G-GMD.B.4 and...
Illustrative Mathematics
Illustrative Mathematics: G Gmd Area of a Circle
For this task, students investigate and develop an understanding of the formula for the area of a circle. Aligns with G-GMD.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Mg Eratosthenes and the Circumference of the Earth
For this task, students must investigate an experiment by Eratosthenes where he estimated the circumference of the Earth. It requires collaboration with at least one other school. Aligns with G-MG.A.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?
In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Exponential Modeling
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Illegal Fish
In this task, students learn about exponential functions when they investigate the exponential growth of an invasive fish population. Aligns with F-LE.B.5 and F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Factors Over Equal Intervals
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.