Curated OER
Mathematical Modeling
Study various types of mathematical models in this math lesson plan. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they...
Curated OER
A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
Curated OER
Visualizing Skip Counting by 2
Drawing pictures to solve math problems is not only a good problem solving strategy, it's also mathematical modeling. First graders read six basic word problems that have them skip count by twos to find the answer. They draw pictures in...
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...
Curated OER
Mathematical Modeling and Physics
Twelfth graders use a web site to investigate roller coaster physics. For this mathematical modeling lesson, 12th graders are grouped according to their performance on a test. Each group is given an activity to complete on a web site...
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
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.
Curated OER
Viral Marketing
What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
Curated OER
Modeling Multiplication and Division of Fractions
Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.
Curated OER
Area Model of Multiplication Using Base 10 Manipulatives
Explore two-digit multiplication with your class as they work in groups to build models of two-digit multiplication using base 10 manipulatives. They construct rectangles replacing standard numbers with equivalent place values using the...
Curated OER
Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson plan, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. ...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 2
Test scholars mathematic skills with an assessment addressing addition, subtraction, multiplication, place value, measurement, geometric shapes, expanded notation; and their ability to compare numbers, write number sentences, draw...
Curated OER
The Barbie Bungee Drop
What do math, bungee jumping, and Barbie® have in common? Young adventure seekers use rubber bands as bungee cords to predict a thrilling, but safe, jump for their doll. First, test jumps are conducted with a few rubber bands. Then more...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
Radford University
Mathematical Modeling: Lessons 2-3
Not all functions are created equal. Pupils apply regression analysis using polynomial, exponential, and logarithmic functions to investigate the relationship between variables and to decide which function would be best to model the...
California Academy of Science
How Big is Big?
In a math or life science class, "mini-me" models are created with cardstock to reflect a 1:10 scale of students' bodies. Learners measure each others' heights with meter sticks, and then reduce the size by 10. After this exercise, they...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
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