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...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
Curated OER
Chemical Formulas for Molecules
Newcomers to chemistry compare hydrogen peroxide to water, realizing that the difference of one oxygen atom significantly affects the chemical properties. Other pairs of compounds and their formulas are also examined. A few chemical...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
K20 LEARN
Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
Curated OER
Number Patterns and Sequences
Students review how to solve a variety of word problems, focusing on problems that have multiples of 5. They utilize the formula for using number squares and number sequencing with lowest common multiples. Number...
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Curated OER
Properties of Useful Carbon Compounds
Nine action-packed organic chemistry exercises are contained in this mini-unit on carbon containing compounds. Examples include constructing models of alkanes, producing aromatic esters, and preparing pigments for paint and dyes....
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II instructional activity introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Curated OER
Sequence Graphs
Investigate arithmetic and geometric sequences by using a graphing calculator to determine if a sequence is linear or exponential.
Virginia Department of Education
Matter and Energy: Equations and Formulas
Using simple materials, an informative instructional activity demonstrates the Law of Conservation of Matter and explains how to balance chemical equations. Young chemists perform experiments, analyze reactions, and balance...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
West Contra Costa Unified School District
Search and Rescue Activity
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
TryEngineering
Recursion: Smaller Sibling Pyramids
Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson plan. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
National Research Center for Career and Technical Education
Transportation, Distribution, and Logistics: Tire and Wheel Assemblies
Is bigger really better? By the end of this lesson, learners will be able to apply formulas for computing the diameter of tires and wheel assemblies. Begin by showing a slide presentation that will review definitions for radius and...
West Contra Costa Unified School District
Sneaking Up on Slope
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to...
Curated OER
Formula Units
In this chemistry worksheet, students examine the concepts of mole and molarity in order to apply in the laboratory setting. The sheet includes in depth background information.
Curated OER
Toothpick Triangles
Explore patterns, variables, and mathematical relationships when you examine patterns with toothpicks and determine the next sequence of figures. Your class writes and justifies a formula based on the sequence. An answer key is included.