EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
Curated OER
Balanced Equations
Help your math class understand variables. This activity is for a visual learner. They will use weights and a balance scale to show how the sides of an equation are equal. Worksheet is included.
Curated OER
The Luxor Hotel Contract
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
Curated OER
Measure for Measure
Young mathematicians work to recognize the relationship between their scale models of the Joides research vessel and the real vessel. They calculate the relationships between various parts of the ship using fractions, ratios, and...
National Security Agency
Place Value - Butterflies Floating Place to Place
Learn about butterflies and place value in a series of interdisciplinary lessons! With several worksheets that reference butterfly facts in word problems, kids can practice science and math in one activity. Additional worksheets are...
Curated OER
Number Story Arrays
Use these number story cards to give scholars practice with arrays and number models. There are 12 cards here, each with a simple object scenario for learners to apply mathematically. Mathematicians are given the number of rows and how...
Fraction Bars
Inequality of Fractions
Here is a fine lesson on inequalities of fractions for your third graders. After a modeling session by the teacher, pupils are put into groups and are led through a discovery session using fraction bars and inequalities. The lesson...
Illustrative Mathematics
Identifying Graphs of Functions
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each function with...
Illustrative Mathematics
Favorite Ice Cream Flavor
What better way to engage children in a math instructional activity than by talking about ice cream? Using a pocket chart or piece of chart paper, the class works together creating a bar graph of the their favorite ice cream flavors....
Curated OER
Braking Distance
This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.
Curated OER
Sandia Aerial Tram
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
Curated OER
US Population 1790-1860
Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.
West Contra Costa Unified School District
Decimals and Fractions
Reinforce the concept of fractions and decimals as part of a whole with a lesson plan that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and...
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...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
EngageNY
Networks and Matrix Arithmetic
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
Linear Transformations of Lines
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
PBL Pathways
Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve and...
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