EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous instructional activity in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula...
Teach Engineering
Mechanics of Elastic Solids
Make the connection between Hooke's law and elasticity with an activity that introduces the class to the behavior of elastic materials. The resource defines stress and strain to calculate the modules of elasticity of materials and also...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 5
Determine the probability that the class knows probability. The three-question assessment presents problems with finding the sample space and the probability, theoretical and experimental, of a variety of situations. Pupils also describe...
Curated OER
Farming in Ancient Mesopotamia: An Ancient Civil Engineering Problem
Sixth graders identify the major obstacles in farming in Mesopotamia. They work together to design and build a model that solves these problems. They write a short essay that describes the problems and their possible solutions.
Curated OER
Social Problems
An adult ESL class brainstorm what they believe to be the major problems in Namibia. In groups, they use the list of problems and put them into the order of the most critical and the reasons why. They research possible solutions and...
Curated OER
Series Solution of the Time-Independent Schrödinger Equation
In this math worksheet, students find the solutions to the problems that apply the time-independent Schrödinger equation. They examine the relationship between the mass and energy.
Teach Engineering
Win that Bid! Selling Your Power Solution
Power up! Class members research a type of power production using a great resource featuring a real-world problem. Groups select a type of power generation and pretend that they represent an engineering firm for their chosen power type....
Curated OER
Describe Environmental Interrelationships
Students describe environmental interrelationships using list of criteria. They are able to explain organism interaction, based on definitions provided. Also, students can use references and worksheets, to describe effects of pollution...
Curated OER
Problem Solving Strategy for Multi-step Math Problems
Third graders analyze mathematical word problems and interpret the words into mathematical equations. Individuals demonstrate their knowledge of the order of operations both verbally and through written expression.
EngageNY
Finding Systems of Inequalities That Describe Triangular and Rectangular Regions
How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...
Library of Congress
After Reconstruction: Problems of African Americans in the South
Lynchings, race riots, and Jim Crow laws were just a few examples of antagonism that African Americans faced after Emancipation. Class groups investigate these and other events, and prepare a presentation to inform the class about the...
Curated OER
“Light Force” and “Dark Force”
Designed for learners with autism, this set of worksheets prompts students to design their own fantasy characters as a way of identifying emotional problems and solutions they might face on a daily basis.
EngageNY
Describing Variability Using the Interquartile Range (IQR)
The 13th lesson in a unit of 22 introduces the concept of the interquartile range (IQR). Class members learn to determine the interquartile range, interpret within the context of the data, and finish by finding the IQR using an exclusive...
Illustrative Mathematics
Return to Fred's Fun Factory (with 50 Cents)
The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...
Reed Novel Studies
The Voyage Of The Dawn Treader: Novel Study
A painting is worth a thousand words—in a different world! Lucy and Edmund sail away into Narnia using a picture of a ship at sea. The story tells of their adventures and the islands they visit. Scholars work through activities about the...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Curated OER
Developing Students' Vocabulary Range for Describing People
Learners develop vocabulary for describing people.
Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
Illustrative Mathematics
Painting a Room
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows young scholars to draw out a solution to aid their thinking. The well-written answer sheet describes common...
Curated OER
Story Mapping
Fill-out a story map to help your scholars with pre-writing. They will use a story map template to pre-write. They also organize their ideas into steps which become the foundation for their first draft. Concrete objects are brought in to...
Curated OER
Modeling Mania Math Topic: Using Models
Students examine problem solving techniques when working on spatial problems. They discover how models, sketches, and drawings can be used to understand on something works. They design a model of a bridge using given dimensions and...