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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...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Flipped Math
Parallelograms and Triangles
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
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...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Mathematics Vision Project
Module 8: More Functions, More Features
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Curated OER
Factoring Quadratic Expressions
In this Algebra II activity, 11th graders factor quadratic expressions. The two page activity contains explanation of topic, worked examples, and three practice problems. Answers are not included.
Curated OER
Parabola (Lab Version)
Students develop definition for parabola, explain relationship between properties of the graph of a parabola and its equation, explain how the equation of a parabola can be written in different forms, and solve problems that relate the...
Curated OER
Parabola
Students develop a definition of parabola and explain the relationship between the properties of the graph of a parabola and its equation. They explain how the equation of a parabola can be written in different forms and solve problems...
Curated OER
Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Curated OER
Best Practices of Technology Integration
Students participate in a lesson in order to practice using systems of equations in order to graph them. A cumulative project in the form of a brochure, web page, or interactive kiosk make this lesson more engaging.
Curated OER
Parabola
In this parabolas activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
Curated OER
Growing Circles
Pupils identify the equation to represent a circle. In this algebra lesson plan, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
Curated OER
Imaginary and complex Numbers
In this Algebra II learning exercise, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots. The on page learning exercise contains...
Curated OER
Composition of Functions
Learners solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Word Problems
In this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
Virginia Department of Education
A Mystery to Solve
Investigate field properties of real numbers. Scholars use a table for a given operation to determine the identity element. They use the same table to find a missing value in an equation.
Curated OER
Reflections of a Quadratic Function
Students compare transformations of a quadratic function on a graph and determine equations of a quadratic functions based on a reflection. They graph a transformation of a function based on reflections. They etermine if a function is...
Curated OER
Graphing Equations
High schoolers use an interactive website or cd rom to graph equations. The lesson plan is not very clearly written. The use of the website is essential or the educational software that can be purchased from the Prentice Hall publisher.
Curated OER
Chapter 4 Review Worksheet: Polynomial
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
Curated OER
Parabolas
In this parabolas activity, 11th graders solve and complete 12 different problems. First, they use the graph to write the equation of each parabola. Then, students name the vertex for each and write their responses on the line provided.
Curated OER
I Spy
Students take photos of objects and write an equation. In this equations with photos lesson, students take pictures of objects around the school that have the shape of mathematical items learned in class. Students also draw in an x-axis...
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