Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...
Curated OER
The Carbon Cycle
Here is an interesting science lesson. Pupils discover that carbon, just like water, is absolutely necessary for all living things to survive. They study how it cycles through nature, become familiar with the periodic table, and look at...
Virginia Department of Education
The Modern Model of Atomic Structure
The difference between atomic mass and atomic number can be confusing for some young chemists. Help your class better understand the concepts by allowing them to sketch an atom on paper and then discuss their experience. Upon completion...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
TryEngineering
Fun with Sorting
Who knew sorting could be so much fun? Scholars participate in a sorting activity where they develop questions to place a list of numbers in order. They consider how these questions can be used as an algorithm.
Serendip
Understanding and Predicting Changes in Population Size – Exponential and Logistic Population Growth Models vs. Complex Reality
Salmonella poisoning impacts over 200,000 people in the United States each year. Scholars learn about the growth of these bacteria using multiple approaches. Then they apply the same growth calculations to endangered species and think...
Curated OER
Carbohydrates - Simple and Complex
Students examine simple and complex carbohydrates. They take notes and complete a worksheet. They also research cookbooks and find recipes which shows the simple and complex carbohydrate groups.
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Curated OER
Carbon 14 Dating, Variation 2
Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Curated OER
Martin Luther King Jr.
After listening to a story about Martin Luther King Jr., first graders answer questions about the text. They discuss the importance of the illustrations, identify the beginning, middle, and end of the story, and complete a writing...
Curated OER
Ready, Set, Let's Dough! It's a Matter of System
Students will look at a complex system when they create their own play dough by taking several parts and creating a whole. The students will construct understanding that individual parts are used to make a whole.
Curated OER
2.0 "Water Is Life" Global Water Awareness Mini-Unit (Grades3-5)
Students study the amount of potable water on the Earth. In this water lesson, students examine the amount of potable water as compared to all the water on the Earth. They discuss why many parts of the world do not have access to good...
Weebly
Author Study: Eric Carle
Dive into an author study of one of the most beloved children’s book authors, Eric Carle. After reading some of his stories, including Papa Get me the Moon, A House for Hermit Crab, The Grouchy Ladybug, and The Very Busy...
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
The Carbon Cycle
Fifth graders examine the carbon cycle, periodic table, and photosynthesis and respiration. They analyze the periodic table and how it is organized, then complete the "Elementary, Dear Watson" worksheet. Students then examine a carbon...
Curated OER
Ready, Set, Let's Dough! It's A Matter Of System
Students discover that everyday substances are composed of parts that make a unique whole. Thsy examine a complex system when they create their own play dough by taking several parts and creating a whole.
Curated OER
The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.