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
Recursively Defined Sequesnces
In this algebra worksheet, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.
EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
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.
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...
Curated OER
Introduction to Sequences
In this algebra worksheet, 9th graders analyze patterns and figure out the next number or pattern in the series using explicit and recursive formulas. There are 44 questions with an answer key.
Curated OER
Finding Patterns in Tiles
Students explore perimeter and area of rectangles. In this rectangular lesson, students use tiles to discover the formulas for perimeter and area. Students solve for area.
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...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Mathalicious
Pandemic
Young scientists use exponential growth and logarithms to model how a virus spreads through a population. Pupils watch a news clip about the 2012 outbreak of Ebola. Scholars then manipulate inactive graphs to see how various factors...
Curated OER
The Volume of a Hypersphere
In this volume of a hypersphere worksheet, students solve 4 problems where they find the volume formula and calculate the volume given the dimensions of the hypersphere.
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.
Agile Mind
Isabella’s Credit Card
An in-depth activity that involves a real-world problem about credit card debt. Learners are given a scenario in which Isabella plans to stop using her credit card and pay off the balance by paying a fixed amount each month. The first...
Curated OER
Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The instructional activity includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Curated OER
Discussion Sheet 6: Exponential Growth
In this exponential growth worksheet, students integrate problems and determine exponential growth. This one-page worksheet contains twelve problems.
Curated OER
Properties of Fractals
Pupils build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial and...
Curated OER
Investment Plans
Young scholars explore investment plans. They write the explicit and recursive forms of the sequence of an investment and compare the amount to the continuously compounded interest formula for the same time period, interest and...
Curated OER
Worksheet 1: Fibonacci Numbers
In this Fibonacci learning exercise, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page learning exercise contains five multi-step problems that...
Curated OER
Mathematical Modeling, Circular Movement and Transmission Ratios
High schoolers perform an experiment with different sizes of followers (from an easy to follow set of teacher directions) and record their observations. They test the rotations of the driver compared to the rotations of a follower and...
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
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...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, young scholars practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and...