Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and...
Mathematics Assessment Project
Solving Linear Equations in Two Variables
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
Curated OER
Living in a Geometrical World
Students participate in a series of hand-on, online, and multimedia activities to examine 2 dimensional and 3 dimensional shapes. They describe common geometric solids. They construct rectangular prisms using straws and ribbon.
Curated OER
How many movies can you see in one day?
For kids who love movies, figuring out a schedule for the maximum number that can be seen in one day is not only a good demonstration of Common Core mathematical practices, but also a highly motivating activity. Robert Kaplinsky...
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
EngageNY
More Practice with Box Plots
Don't just think outside of the box — read outside of it! The 15th lesson in a 22-part unit provides pupils more work with box plots. Learners read the box plots to estimate the five-number summary and interpret it within the context....
Curated OER
Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
Curated OER
Mathematics: A Picture's Worth a Thousand Words
Students examine school yearbooks from 1950 to the present. They count the number of male and female teachers and administrators. They compile date and extrapolate changes in job trends.
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Illustrative Mathematics
Right Triangles Inscribed in Circles I
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Teach Engineering
Optimizing Pencils in a Tray
What do you call a story about a broken pencil? Pointless. Scholars may not be telling stories when using the resource, but they are solving optimization problems involving the maximum number of pencils that can fit on a tray. They...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Curated OER
Factors In Population Growth
High schoolers examine both historical and recent estimates of world population. They identify regions of the world that have had significant population growth in the last decade and speculate on reasons for this.
Teach Engineering
Airplane Tails and Wings: Are You in Control?
Keep everything under control. The lesson plan, the 16th segment in a 22-part unit, provides a more detailed look at the parts of a plane, specifically the control surfaces. Pupils learn about the construction of the wings and the tails...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Illustrative Mathematics
Tangent to a Circle From a Point
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using information about...
Curated OER
Farming in Space
Students research, design, and run plant growth experiments online. They explore websites, design an experiment using an animation-based building block program, construct a soda bottle hydroponic production unit and a cardboard plant...
Curated OER
The Nature of Mathematics
In this nature of mathematics worksheet, students identify the different aspects of mathematics and how simple mathematical models are constructed to solve problems. Then, they define the power and limitations of mathematical analysis....
Curated OER
Counting the Stars in Draco
In this counting stars worksheet, students construct a histogram for stars in a given star field using their apparent magnitude. Students answer 5 questions using their tabulated data and histogram to answer questions about the stars of...
Curated OER
Do As the Romans: Construct an Aqueduct!
Learners explore how the Romans engineered and built aqueducts. They read a manual, explore the Construct a Roman Aqueduct online activity, and construct an aqueduct that will transport two liters of water across a short distance in the...
Curated OER
Equations in the Park
Students explore algebraic concepts using real life situations. For this equations lesson, students develop strategies to solve missing number problems. Students participate in a board game based on algebraic equations.
Curated OER
Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.