EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...
Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
EngageNY
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
K-5 Math Teaching Resources
Blank Number Lines Template
It's no secret that number lines are one of the most useful tools for elementary math teachers. Offering a series of six separate number lines of differing scales, this versatile template can be used when teaching about anything from...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
National Council of Teachers of Mathematics
Tidal Waves
Periodically ship the class a trigonometric application. Pupils model the level of water in a port. Using their models, learners determine the times that a ship can safely navigate into and out of the port, along with determining other...
Mathematics Assessment Project
“Ponzi” Pyramid Schemes
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal.
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
CK-12 Foundation
Modeling: Mathematical, Physical and Conceptual
Scientific models help explain ideas and concepts to non-experts. The online activity covers conceptual, mathematical, and physical models. Through four multiple-choice questions and three discussion questions, scholars gain a deeper...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 4
Develop a model for prep. The resource provides examples of how items reflect modeling and data analysis for Smarter Balanced assessments. Items use on-grade or below-grade content to focus on the modeling aspect. The questions revolve...
Kids Can Have Fun
Cut and Paste Counting Monsters
Young children will have a blast learning how to count these monster math manipulatives. Provided with a series of boxes numbered from 1 to 10, learners must place the correct number of monsters in each space to demonstrate their ability...
K-5 Math Teaching Resources
Small Ten Frame Cards with Dots
Solidify your mathematicians' addition and subtraction skills using this ten frame printable. Here, you'll find small, ten frame cards with dots representing numbers 11 to 22, equipped to enhance math strategies and boost proficiency.
Balanced Assessment
Monitor Pricing
Out with the old and in with the new. Learners use a set of prices of computer monitors from 1994 to make a prediction. They then use one current price and what they know about the old prices to make a more recent prediction. Their...
Balanced Assessment
Bathtub Graph
Represent the relationship between independent and dependent variables through a modeling situation. The activity expects learners to graph the volume of water in a bathtub during a given scenario. The graph should result in two areas of...
CK-12 Foundation
Geometric Sequences and Exponential Functions: Bouncing Ball
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze the...
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
101 Questions
Small Trebuchet
Travel back to medieval time where learning is just a stone's throw away! A video introduction shows a trebuchet (catapult-like machine) as it launches a rock into a lake. Learners use their quadratic modeling skills to predict the...
Mascil Project
Design a Parking Garage
Parking structures don't build themselves. Investigate the process of designing and planning the construction of a parking garage. After considering the factors that must go into the design, scholars create their own models from a set of...
5280 Math
Interesting Times
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a useful...