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National Math Standards

Journey North's Monarch Migration project helps bring many of the NCTM National Math Standards to life. Browse this chart by content area and then link directly to information and activities that reflect your teaching goals. As you review the activities, consider how you can adapt them to your unique context and students' abilities.

A. Numbers & Operations
B. Algebra

C. Geometry
D. Measurement
E. Data Analysis & Probability
F. Problem Solving
G. Reasoning & Proof

H. Communication
I. Connections
J. Representation

National Math Standard
Journey North Monarch Activity or Lesson

A. NUMBERS & OPERATIONS

Understand meanings of operations and how they relate to one another. Which Grows Faster, A Monarch or a Milkweed Plant?
Like Finding a Needle in a Haystack?
Seasonal History of a Monarch Colony
Single Storms Kill Over 75% of E. Migratory Monarchs
How Many Millions of Monarchs in Mexico?
Counting All Butterflies: Estimating Population Size
The Effect of Snow on Monarchs
Life of a Monarch Caterpillar
Male vs. Female Monarch Behavior
How Long Do Monarchs Live?
Monarch Butterfly Migration Checklist
How to Track the Monarch Migration to Mexico
Migration Rate Math: Who Saw the Most Monarchs?
Flapping Flight: A Look at Flight in Slow Motion
Arkansas Monarch Found Six Miles From Home
Not All Monarchs Make it to Mexico
Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Which Grows Faster, A Monarch or a Milkweed Plant?
How Many Millions of Monarchs in Mexico?
Life of a Monarch Caterpillar
How Long Do Monarchs Live?
Migration Rate Math: Who Saw the Most Monarchs?
Flapping Flight: A Look at Flight in Slow Motion
Arkansas Monarch Found Six Miles From Home
NJ Study Shows Slowest Fall Migration in 14 Years 
Compute fluently and make reasonable estimates. Seasonal History of a Monarch Colony
Single Storms Kill Over 75% of E. Migratory Monarchs
How Many Millions of Monarchs in Mexico?
Counting All Butterflies: Estimating Population Size
Living on Lipids: Surviving the Season on Stored Energy
Life of a Monarch Caterpillar
Monarch Butterfly Life Cycle: What is a Generation?
How Long Do Monarchs Live?
Expecting Monarchs in Arkansas
Predicting When the First Spring Generation Will Emerge
How to Track the Monarch Migration to Mexico
Migration Rate Math: Who Saw the Most Monarchs?
Estimating the Number of Monarchs in a Roost
How High Do Monarch Butterflies Fly During Migration?
Field Trip in the Sky: Flying in a Thermal
Flapping Flight: A Look at Flight in Slow Motion
Why is Nectar So Important to Monarchs in the Fall?
The Extraordinary Travels of a Tagged Monarch
Arkansas Monarch Found Six Miles From Home
Monarch Generations: Which Goes to Mexico in the Fall?
Expecting Monarchs in Arkansas: News from the Nursery

B. ALGEBRA

Understand patterns, relations, and functions.  
Represent and analyze mathematical situations and structures using algebraic symbols. Counting All Butterflies: Estimating Population Size
Use mathematical models to represent and understand quantitative relationships. .X

Analyze change in various contexts.

.X

C. GEOMETRY

Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships.  
Specify locations and describe spatial relationships using coordinate geometry and other representational systems.  The Monarchs That Flew the Wrong Way: Two True Stories
How to Use the Online Distance Calculator
Monarchs in the News: Write Your Own News Column
Record Flight by a Monarch Tagged in New Brunswick
How Far Will Your Monarch Travel?
Apply transformations and use symmetry to analyze mathematical situations. X 
Use visualization, spatial reasoning, and geometric modeling to solve problems. X 

D. MEASUREMENT

Understand measurable attributes of objects and the units, systems, and processes of measurement. Which Grows Faster, A Monarch or a Milkweed Plant?
Like Finding a Needle in a Haystack?
How Much Space Does a Monarch Colony Need?
Life of a Monarch Caterpillar
Migration Rate Math: Who Saw the Most Monarchs?
How High Do Monarch Butterflies Fly During Migration?
Why is Nectar So Important to Monarchs in the Fall?
Apply appropriate techniques, tools, and formulas to determine measurements. Which Grows Faster, A Monarch or a Milkweed Plant?
Like Finding a Needle in a Haystack?
How Much Space Does a Monarch Colony Need?
Life of a Monarch Caterpillar
Monarch Butterfly Migration Checklist
How to Track the Monarch Migration to Mexico
Migration Rate Math: Who Saw the Most Monarchs?
The Extraordinary Travels of a Tagged Monarch
Arkansas Monarch Found Six Miles From Home
E. DATA ANALYSIS & PROBABILITY
Understand and apply basic concepts of probability. Counting All Butterflies: Estimating Population Size
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. Monitoring Habitat While You Wait
Living on Lipids: Surviving the Season on Stored Energy
Monarch Monitoring Sites: The Value Long-Term Data
Develop and evaluate inferences and predictions that are based on data. Predicting the Route of the Monarch's Spring Migration
Monitoring the Sierra Chincua Sanctuary
The Effect of Snow on Monarchs
Expecting Monarchs in Arkansas
Predicting When the First Spring Generation Will Emerge
Monarchs in the News: Write Your Own News Column
Expecting Monarchs in Arkansas: News from the Nursery
Select and use appropriate statistical methods to analyze data. How Many Millions of Monarchs in Mexico?
When Do Monarchs Normally Arrive in Your Home Town?
NJ Study Shows Slowest Fall Migration in 14 Years

F. PROBLEM SOLVING

Build new mathematical knowledge through problem solving.

 
Solve problems that arise in mathematics and in other contexts. Which Grows Faster, A Monarch or a Milkweed Plant?
The Effect of Snow on Monarchs
Life of a Monarch Caterpillar
Monarch Butterfly Life Cycle: What is a Generation?
How Long Do Monarchs Live?
Expecting Monarchs in Arkansas
Predicting When the First Spring Generation Will Emerge
Estimating the Number of Monarchs in a Roost
How High Do Monarch Butterflies Fly During Migration?
Field Trip in the Sky: Flying in a Thermal
Flapping Flight: A Look at Flight in Slow Motion
Why is Nectar So Important to Monarchs in the Fall?
The Extraordinary Travels of a Tagged Monarch
Arkansas Monarch Found Six Miles From Home
Monarch Generations: Which Goes to Mexico in the Fall?
Expecting Monarchs in Arkansas: News from the Nursery
Apply and adapt a variety of appropriate strategies to solve problems. X 
Monitor and reflect on the process of mathematical problem solving. X
G. REASONING & PROOF
Recognize reasoning and proof as fundamental aspects of mathematics. X
Make and investigate mathematical conjectures. X
Develop and evaluate mathematical arguments and proofs. X

Select and use various types of reasoning and methods of proof.

The Extraordinary Travels of a Tagged Monarch
H. COMMUNICATION 
Organize and consolidate their mathematical thinking though communication. .X 
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. .X 
Analyze and evaluate the mathematical thinking and strategies of others.  
Use the language of mathematics to express mathematical ideas precisely. .X 
I. CONNECTIONS 
Recognize and use connections among mathematical ideas. .X 
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. .X 
Recognize and apply mathematics in contexts outside of mathematics. .X 
J. REPRESENTATION 
Create and use representations to organize, record, and communicate mathematical ideas.  NJ Study Shows Slowest Fall Migration in 14 Years
Select, apply, and translate among mathematical representations to solve problems.  
Use representations to model and interpret physical, social, and mathematical phenomena. . .X.  


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