Rational Number Project
Initial Fraction Ideas Lesson 9 Overview
Visual models support young mathematicians with exploring equivalent fractions. Starting with a quick warm-up problem, children go on to work through a series of guiding practice problems before working with a partner identifying and...
West Contra Costa Unified School District
Work Problems – Bar Models
Why do we have to do so much work? Scholars learn how to set up bar models to represent a situation involving work. They use these bar models to help set up equations with rational coefficients to solve the problem situation.
Curated OER
Modeling the Keeling Curve with Excel
In this modeling the Keeling Curve worksheet, learners use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the carbon...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Curated OER
Introduction to Mathematical Modeling
In this mathematical modeling learning exercise, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
Curated OER
Using Models to Communicate
In this models activity, students read about how models are used to communicate events or principles in science. They are given an example and answer 4 questions about models. They discuss accuracy and inaccuracy of models. They create 2...
Curated OER
Modeling in Algebra
In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...
Curated OER
Changing It Up
How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.
Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
Curated OER
Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
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...
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
Curated OER
A Model for the Spread of Disease
In this model worksheet, students explore a real life scenario to determine the rate at which a disease may spread. They use Euler's Method and the SIR model to determine values at a given point in time. This two-page worksheet...
Curated OER
Analyzing the S-I-R Model
In this SIR model activity, students analyze a real life problem using the SIR method. They explore given facts and determine the threshold value for an epidemic, the sequence for the recovery period, and the effect on the model from a...
Curated OER
Hands On: Model Numbers
In this addition and subtraction practice instructional activity, students sharpen their problem solving skills as they solve 6 story problems using number models.
Illustrative Mathematics
Foxes and Rabbits 2
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
MENSA Education & Research Foundation
The Moon: Earth’s Dependable Neighbor
Scholars become experts on the moon, its phases, and craters with a series of lessons, activities, and extension opportunities. Learners' expert level of knowledge includes moon facts, how moon craters are created, the ability to...
Illustrative Mathematics
Households
Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...
Curated OER
Population Models and Qualitative Analysis
For this quantitative analysis worksheet, students explore the limits of a rate equation. They use quantitative analysis methods to determine the differential, plot graphs of their values, and describe the relationships between the...
John Wiley & Sons
Build a Pyramid
Learners discover fascinating facts about the Great Pyramid of ancient Egypt and construct a scale model of the pyramid with this fun activity worksheet.
NASA
Simulating Weightlessness
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
Concord Consortium
It's In the Mail
It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...
Maths Blog
Equivalent Fractions: Equal, Largest, or Smallest
Elementary mathematicians begin by reading a one-page text that explains how to compare fractions. They solve two problems in which they must circle equal fractions in a set. They then solve four problems where a set of five fractions is...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
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