Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
Noyce Foundation
Baseball Players
Baseball is all about statistics. Pupils solve problems related to mean, median, and range. They calculate the total weight of players given the mean weight, calculate the mean weight of reserve players given the mean weight of the...
Illustrative Mathematics
Calculator Trouble
When is not solving the expression the correct answer? When you are checking the understanding of a math concept that is not number dependent. The real question being asked here is to look at the initial number, fraction, mixed number,...
Education Development Center
Factoring a Degree Six Polynomial
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
EngageNY
Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Carbon 14 Dating, Variation 2
Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...
Visa
Saving and Investing
Impress upon your young adults the importance of saving and investing, and give them a foundational vocabulary from which they can continue to build their financial literacy. This lesson plan covers short- and long-term budget goals,...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Curated OER
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Noyce Foundation
First Rate
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
Howard County Schools
Factoring Trinomials Using Tiles
What's the opposite of multiplying binomials? Learners apply their previous knowledge of multiplying binomials using algebra tiles to factor trinomials. The lesson introduces factoring as a process that uses algebra tiles to...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...
Concord Consortium
Squares and Cubes
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis of...
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
Curated OER
Common Monomial Factors
In this algebra activity, students identify common monomials. They factor polynomials and simplify equations. There are 2 questions with an answer key.
Curated OER
Factoring Trinomials
In this factoring trinomials worksheet, 9th graders solve and complete 18 different problems that include identifying the product and sum of numbers. First, they factor the GCF from each group of numbers and complete. Then, students...
Curated OER
Division of Monomials
Students relate the division of monomials to multiplication. For this division of monomials lesson, students divide monomials by factoring and dividing common factors from the originals. They check their answers by multiplication. As...
Curated OER
Practice With Complex Fractions
In this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
Curated OER
Identify the Common Property in Twelve Octagons
In this Octagon Puzzle worksheet, learners determine the common property for the given numbers in each of twelve octagon. The solutions are provided.