Curated OER
The Function Box
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
Curated OER
Tower of Hanoi Lesson Plan
Young scholars investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using...
Curated OER
Introduction to Inverse Functions
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
Curated OER
Related Number Pairs
Third graders use tables to organize and display related pairs of numbers, such as the relationship of the number of insects to the total number of legs. They generate a table of related number pairs based on a real-life situation,...
Curated OER
Exponents
Students solve exponential problems using exponential properties. In this algebra lesson, students discuss the meaning of exponents, and bases raised to different powers. They explore exponential functions using a computer.
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Introduction to Infinite Series
In this algebra worksheet, students find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
Curated OER
Multiplying Binomials
Students factor binomials and apply it. In this algebra lesson, students use patterns to factor difference of squares and FOIL to factor other binomials. They apply the concept of binomials to vertical multiplication.
Curated OER
Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
Curated OER
Four Fours Challenge
Second graders look at the number patterns created when tins are stacked in different arrangements. The aim of the unit is for students to keep track of the numbers involved by drawing up a table of values. They are then encouraged to...
Curated OER
Irregular Fractals
Middle schoolers study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
Curated OER
Geometry and Symmetry
Students examine tessellations and their geometric properties. The lesson and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
Curated OER
Taxi Fare
Learners discuss what they know about taxis and how they charge. They read the problem and work in pairs focusing their thinking on the repeating pattern of twos. They then share their solutions and conclude with some class practice...
Curated OER
Free Cell
Fourth graders use algebra to begin solving a problem. The problem has a real world application to engage learners. The main skill is converting fractions and decimals. Also finding the right number sentence for the word problem is...
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson plan on relationships between two numerical...
Curated OER
I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
Curated OER
Ten in the Bed
First graders share the story "Ten in the Bed". They rewrite the story so that the initial character is calling others to bed. There was one in the bed and the little one said, "Come to bed, come to bed." There were two in the bed and...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
National Security Agency
What’s Your Coordinate?
Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.