Lesson Plan
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Illustrative Mathematics

Equivalent Expressions

For Teachers 8th - 12th Standards
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...
Activity
Curated OER

Logistic Growth Model, Explicit Version

For Teachers 9th - 12th Standards
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...
PPT
University of Texas

Complex Numbers

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
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...
Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
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.
Lesson Plan
Curated OER

SkyHighScrapers

For Teachers 8th - 12th
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...
Lesson Plan
Curated OER

Windsail Design

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Mirror Curvature

For Teachers 7th - 9th
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...
Lesson Plan
Curated OER

Marcy's Dots

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Ict Activity 22

For Teachers 6th - 8th
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.
Lesson Plan
Curated OER

Telescope #2

For Teachers 8th - 12th
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...
Lesson Plan
Curated OER

One Square Meter

For Teachers 4th - 8th
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.
Lesson Plan
Curated OER

Underwater Research

For Teachers 4th - 12th
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.
Lesson Plan
Curated OER

Application of Parabolas

For Teachers 7th - 9th
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.
Lesson Plan
Curated OER

Investigating Parabolas

For Teachers 9th - 11th
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.
Worksheet
Curated OER

Ten Word Problems Solved Using Systems of Equations

For Students 8th - 10th
In this quadratic linear systems of equations activity, students solve ten word problems using systems of equations.  The solutions are provided.
Lesson Plan
Curated OER

Effects of Parameter Changes

For Teachers 8th - 10th
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.
Worksheet
Curated OER

Sum and Product of Roots 6-5

For Students 8th - 10th
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...
Worksheet
Curated OER

Properties of a Parabola

For Students 8th - 10th
In this algebra activity, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Worksheet
Curated OER

Sequences

For Students 9th - 12th
For 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...
Worksheet
Curated OER

Factoring Polynomials

For Students 9th
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...
Worksheet
Curated OER

Calculus 30: Domain and Range

For Students 11th - 12th
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.
Worksheet
Curated OER

Polynomial Functions

For Students 11th
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...
Worksheet
Curated OER

Definitions of Parabolas

For Students 11th
In 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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