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 simplify complex number...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Curated OER
Real-World Applications to Imaginary and Complex Numbers
Authenticate imaginary numbers through real-life applications in science, math, and literature.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Royal Society of Chemistry
Periodic Table 2
While the periodic table looks complex, it is really arranged by only two variables, atomic number and electron configuration. The set of four puzzles focuses on groups 3, 4, 5, and 6 or 13, 14, 15, and 16, depending on your periodic...
Curated OER
Express Whole Numbers as Fractions
Show examples of fractions in the real world to help scholars grasp this complex concept. Because there is only one word problem here with an answer detailed below, this is ideal as an all-class warm up. Learners examine an image of a...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Curated OER
Making and Interpreting Tables
In this data tables worksheet, middle schoolers make and interpret data tables given data about magazine sales. They categorize their data, complete their data table and answer questions about their data.
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...
Curated OER
The Building Blocks
This PowerPoint is a comprehensive review of all the facts related to an atom's basic structure and function. What makes this unique is that it is geared toward an audience of junior geologists. After introducing the periodic table of...
Royal Society of Chemistry
Vanadium
Introduce your chemistry scholars to the periodic table's Goddess of Beauty! Through an interactive that highlights the transition metal vanadium, learners discover the colors produced in solution as vanadium changes oxidation state....
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 tiles...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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...
University of North Carolina
Figures and Charts
Sometimes words aren't the best way to get information across to the reader. The eighth handout in the 24-part Writing the Paper series describes different type of figures and charts to display complex information in a paper....
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 the...
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 problem in...
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.
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...