EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Teach Engineering
Off-Road Wheelchair Challenge
Challenge your class to use their understanding of the engineering design process to design and build a small-scale, off-road prototype for an assistive technology device. Teams select materials to build their scale models, and, using...
EngageNY
Logarithms—How Many Digits Do You Need?
Forget your ID number? Your pupils learn to use logarithms to determine the number of digits or characters necessary to create individual ID numbers for all members of a group.
Teach Engineering
Protecting Our City with Levees
Teams use the design process to design, build, and test a model levee to protect the town from a wall of water. A handout provides a price list for the materials learners can use to build their levee within a budget.
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Curated OER
Satellites and Solar Cells
In this satellite and solar cells worksheet, students determine the electrical power generated by the solar cells on the IMAGE satellite. Students solve 3 problems including finding the usable area of the satellite, determining the power...
Achieve
Task: Storage Sheds
Bridge the gap between mathematics and Career Technical Education. Pupils research the cost associated with building storage sheds and analyze possible profit. They build scale models and determine if building and selling the sheds is a...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
Curated OER
Scale and Equations
In this Algebra I learning exercise, 9th graders solve equations by using the concept of a scale where unknowns are represented by cylinders and numbers by marbles. The four page learning exercise contains ten problems. ...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Curated OER
The Ellipse
This is a practical sheet with the instructions to draw a set of ellipses. After following the diagrams, there are ten questions to complete, with calculations expected for alternate orbits and comparisons related to actual planets in...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Illustrative Mathematics
Seeing is Believing
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2). The commentary section provides description and graphics to explain the set...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Unit V: Worksheet 1 - Constant Force
In a force diagram, a stick figure man in an elevator takes a ride. Physics analysts work out the force exerted on him by the elevator floor. As the acceleration changes, they draw new force diagrams and compute new force values. This...
Curated OER
Unit V: Worksheet 2 - Constant Force
Physics learners studying force and acceleration practice solving eight problems with this assignment. They calculate acceleration and deceleration, net force, and distances required for stopping a moving object. Kinematics equations and...
Curated OER
Constant Net Force
In this forces worksheet, students calculate life force, acceleration, and displacement for 8 word problems. Students must label force diagram and a summation force model.
Curated OER
Solar Eclipse
In this solar eclipse worksheet, students solve seven problems about solar eclipses after making a model following five steps. They determine the different orbits for satellites, they determine the lengths of Earth's shadow and they...