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Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
University of Texas
Complex Numbers
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
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 on relationships between two numerical...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Curated OER
SkyHighScrapers
Learners investigate quadratic functions. In this Algebra I/Algebra II lesson, students determine the equation of a quadratic function that closely matches a set of points. Learners investigate the necessary information that...
Curated OER
Windsail Design
High schoolers 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. High schoolers vary...
Curated OER
Mirror Curvature
Young scholars investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II instructional activity, students explore the relationship between the coefficients of a quadratic function and the shape and...
Curated OER
Marcy's Dots
Young scholars identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
Curated OER
Ict Activity 22
Students use Excel to solve quadratic equations by trial and improvement. They enter formulas and try different solutions to improve their solutions more quickly. Afterwards, they report the solutions to different levels of accuracy.
Curated OER
Telescope #2
Students investigate parabolas as the shape of a telescopic lens. For this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Curated OER
One Square Meter
Students explore the concept of a quadrat study. Students select and investigate a site and conduct a quadrat survey. They take measurements, observe the area and analyze their findings.
Curated OER
Underwater Research
Students make transect and quadrat surveys using a provided worksheet in order to understand the techniques used to study coral reefs. Each type of survey is used to identify the species, diversity, and number of corals.
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
Ten Word Problems Solved Using Systems of Equations
In this quadratic linear systems of equations activity, students solve ten word problems using systems of equations. The solutions are provided.
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Sum and Product of Roots 6-5
In this quadratic equation worksheet, learners list the general quadratic equation form, formula for sum of roots, and formula for product of roots. The then learn how to write a quadratic equation given its 2 roots. Students use these...
Curated OER
Properties of a Parabola
In this algebra activity, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Curated OER
Sequences
In this sequences worksheet, students find the limit of a sequence. They explore Ulam's sequence. Students calculate differences for terms in a quadratic sequence. this four-page worksheet contains approximately 20...
Curated OER
Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
Curated OER
Calculus 30: Domain and Range
In this domain and range worksheet, students find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
Curated OER
Polynomial Functions
In this polynomial functions worksheet, 11th graders solve and complete 8 different problems that include various polynomial functions. First, they define a polynomial function. Then, students write the polynomial part in standard form...
Curated OER
Definitions of Parabolas
For this algebra worksheet, 11th graders identify parts of a parabola and circle. They solve systems of equations and answer questions about radius, foci and conics. There are 20 questions on this test.
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