EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
Curated OER
Exploring Geometric Constructions of Parabolas
Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
Curated OER
Curve Sketching Review Worksheet
In this curve sketching worksheet, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
Curated OER
Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
Curated OER
Investigating Parabolas
Students identify properties of parabolas. In this algebra lesson, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.
Curated OER
Windsail Design
Students fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Students vary the a-value...
Curated OER
Quotient Rule
Young scholars differentiate functions. In this differentiating functions lesson, students use the quotient rule to differentiate functions. Young scholars use the quotient rule to differentiate rational functions such as a...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Curated OER
Curve Ball
Create a Height-Time plot of a bouncing ball using a graphing calculator. Graph height as a function of time and identify the vertex form of a quadratic equation that is generated to describe the ball's motion. Finally, answer questions...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Curated OER
Count the Differences
Students determine the degree of polynomials. In this determining the degree of polynomials lesson, students find the difference between consecutive y-values. Students find the degree of a linear, quadratic, and cubic...
Curated OER
Finding Patterns and Graphing Functions
Pupils investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Pupils graph their results and determine if the...
Curated OER
Properties of a Parabola
In this algebra worksheet, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Curated OER
Graphing Equations
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Complex Number
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
Curated OER
Practice Test: Vector Equations
In this vector equations worksheet, learners sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
Curated OER
e, pi, and Exponential Functions
Students investigate e, pi and exponents. In this calculus instructional activity, students define constants and non-constants using, pi, e and exponents as an example. They use the TI to work the problems in this instructional activity.
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...
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