5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
5280 Math
Multiplication Table Algebra
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Noyce Foundation
Double Down
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Curated OER
Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
5280 Math
Capture the Points
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
Curated OER
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
5280 Math
Interesting Times
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a...
Curated OER
Math Challenges
Students engage their critical thinking skills to solve challenging math problems. In these problem solving lessons, student work with tessellations, weights/measurement, reasoning, surface area, geometric shapes, and algebraic procedures.
Oregon Department of Education
Building Number Sense
It's never too early to begin a child's math education. This collection of fun hands-on activities engage youngsters in building their number sense as they learn how to count objects, identify numerals, compare amounts, and much more.
Computer Science Unplugged
Twenty Guesses—Information Theory
How do we determine how much information to include and what can be left out? By playing a game of 20 questions, the class generates the best strategies for finding a number. They then move on to guessing the next letter in a short...
Texas Instruments
Texas Instruments: Patterns, Functions, and Algebraic Reasoning
Students learn to use the calculator to generate recursive patterns. They explore the connection from patterns to functions and algebraic reasoning. Students examine the idea of a variable for an unknown quantity and express mathematical...
University of Cambridge
University of Cambridge: Maths and Sports: Opening Patterns
As excitement mounts ahead of the start of the London 2012 Olympic and Paralympic Games, take a look back at the opening ceremony for the 2008 Games in Beijing. What shapes and patterns can you see? This activity is aimed at young...
Ministry of Education and Employment of Spain
Red Escolar: Trucos De Adivinacion
In Spanish. Help students become better mental mathematicians by enjoying the magic relationship of mathematics through magic tricks. Students are given two different series of computations to use when thinking of a number, and then the...
University of Cambridge
University of Cambridge: Nrich: Games Frogs
Use this interactive game to improve your knowledge and understanding of patterns and algebra. Can you describe a rule to follow where you make the least moves? Just follow the instructions below it.
Texas Instruments
Texas Instruments: The First Twelve Days of School
Students learn to organize data, look for patterns, and solve problems. They will count the number of "coins" in a variation of The Twelve Days of Christmas song. They will also generalize the patterns through symbolic expressions.
Texas Instruments
Texas Instruments: Weaving a Story
In this activity, students construct a paper weaving using a chart model. They will also learn skip counting with the TI-10 and recognize number patterns in art.
Texas Instruments
Texas Instruments: The Tortoise and the Hare
In this activity, students develop patterns using two or more rational number quantities. They comprehend the concept of functions by understanding the relationship between these quantities and their sums.