Curated OER
Lesson 5: The Quadratic Formula
High schoolers plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Curated OER
MT-A315 Introduction to Linear Algebra
In this algebra worksheet, students figure out the equation of the general vector, they find the orthogonal basis and apply the formula to solve the problems.
Curated OER
Exponential Decay
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...
Curated OER
Properties of Logartihms
In this algebra worksheet, young scholars apply the properties of logarithms. They solve word problems using the properties of logs and apply the formula for interest to solve money problems. There are 3 problems with an answer key.
Curated OER
Squares and Square Roots
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...
Curated OER
Sum of an Arithmetic Series
In this algebra learning exercise, students are asked to add up the integers from 1 to 100. They use Gauss method to find the sum of this arithmetic series. There is an answer key with this problem.
Curated OER
Volume and Surface Area
For this volume and surface area worksheet, 10th graders solve and complete 10 different problems that include using spheres to examine changes in volume and surface area. First, they complete the chart shown using the formulas given....
Curated OER
Solving Quadratics
In this algebra worksheet, students solve quadratics using the quadratic formula and completing the square. There are 13 questions on this test.
Curated OER
Make Up Test on Solving Quadratics
In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
EngageNY
The Mathematics Behind a Structured Savings Plan
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Four Interesting Transformations of Functions (Part 2)
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Curated OER
Delivery Trucks
Written to assess learners' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
Math Drills
Solving Quadratic Equations
Need a solving quadratic equations with factoring worksheet? Here it is! A page worth of problems all with a leading coefficient of 1 gives your class a beginners level approach to the topic.
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Curated OER
MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.