CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 2)
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
BW Walch
Creating Linear Inequalities in One Variable
Just when a young mathematician starts to feel comfortable turning word problems into linear equations, shake things up and throw inequalities in the mix. This excellent, instructive presentation takes the steps for solving an equality...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include basic...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Curated OER
Multiplying Polynomials
In this multiplying polynomials worksheet, students solve and complete 20 different problems. First, they distribute both terms of one polynomial times both terms of the other polynomial. Then, students combine like terms and complete.
Curated OER
Chapter 7 - Objective 4.1 - Factoring
In this factoring worksheet, students combine like terms and simplify polynomials by factoring. This one-page worksheet contains ten problems.
Curated OER
Solving Linear Inequalities
In this linear inequalities learning exercise, 10th graders solve 10 different problems that include various forms of linear inequalities. First, they determine the relationship of the numbers. Then, students multiply or divide to get...
Curated OER
The Distributive Property
Students solve problems using the distributive property. In this algebra lesson, students solve equations by multiplication and combining like terms. They graph their lines on the calculator.
Curated OER
Variables on Both Sides
Students solve equations with variables on both sides of the equations. In this algebra lesson plan, students use addition, subtraction, multiplication and division to solve problems. They combine like terms and identify the unknown.
Curated OER
Order of Operation
Students solve problems using the order of operation. In this algebra lesson, students factor, subtract, add and divide using the correct order to remove parentheses. They simplify expressions by combining like terms.
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.
Curated OER
Interpolating Function
In this interpolating function activity, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
Curated OER
Sequence Investigation
Eleventh graders investigate arithmetic sequences. In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. Students graph...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Illustrative Mathematics
Tilt of Earth's Axis and the Four Seasons
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit about...
EngageNY
Points of Concurrencies
You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.
Balanced Assessment
Bumpy-Ness
Develop a new measure of the properties of an object. Scholars develop a definition and formula to measure the bumpy-ness of an object. They utilize their formulas to find the property for several spherical objects.
Curated OER
Discovering Perimeter
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
EngageNY
Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
Curated OER
Volumes of Solids of Revolution (Shell Method)
Pupils find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Pupils integrate functions in terms of x and y. Students use...
Curated OER
Translation
Tenth graders identify and interpret vocabulary terms as they relate to vectors. Students practice translations by creating several tessellations. Students determine the direction and distance using vectors. Students use grid paper to...
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
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