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...
Shodor Education Foundation
Sequencer
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...
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.
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Curated OER
Multiplication Sequences
In this math worksheet, students learn that a sequence is a set of numbers which follows a mathematical rule. Students look at math sequences and fill in the missing numbers and also explain in words what the pattern is. Some of the...
Curated OER
Sequences Formula
Kids learn what it means to use a letter in place of a number in an equation. They complete a series of number sequences and compose rules using letters and numbers. This is a good way to introduce the concept to elementary-aged learners.
Curated OER
Sequences, Shapes, Grids and Calculations
In this online math problems worksheet, students complete a variety of assignments including the concepts number sequences, shapes and grids, number calculations and substituting whole numbers for letters in equations. Students complete...
Curated OER
Terms in a Sequence
In this terms in a sequence worksheet, students solve and complete 32 various types of problems. First, they simplify each of the equations listed. Then, students find the number of arrangements found using the information given. They...
Illustrative Mathematics
Guess My Number
Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...
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.
CK-12 Foundation
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
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
Multiplication Sequences, Multiplying with Exponents
In this math worksheet, learners practice making six multiplication sequences. Students write an explanation of four sequences. Learners also practice multiplying with exponents by completing twenty problems.
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Curated OER
Book Title: One is a Snail, Ten is a Crab
Students read a story and write math problems. In this reading and math comprehension lesson, students preview and read the book "One is a Snail, Ten is a Crab". Students predict ways to get a sum of 11, write math equations and draw...
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...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
Difference of Equations
In this difference of equations instructional activity, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method...
Curated OER
Arithmetic Sequences 1.6
In this arithmetic sequences worksheet, students solve 45 short answer, multiple choice, and graphing problems. Students find the nth term of an arithmetic sequence. Students solve systems of equations using elimination. Students find...
Curated OER
Exploration Sequence of Bounces
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...