Hawaiʻi State Department of Education
Railroad Tracks
Ahhh the vanishing point! Sounds ominous, but it's not. Fifth graders analyze the use of perspective in Renaissance art. They practice using linear perspective to draw railroad tracks that seem to go on forever. Tip: Make this...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Curated OER
US Population 1790-1860
Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Curated OER
Urban Ecosystems 4: Metabolism of Urban Ecosystems
Students discover that material and energy uses by a city come from outside the city boundaries. They realize that the pathway of these material is linear instead of cyclical as they are in natural ecosystems.
Gatsby Charitable Foundation
Four Activities Using Straight Line Graphs
This math packet includes four different activities which puts linear equations and line of best fit in the context of real world applications. Each activity uses a different linear math modeling equation and asks the learners to...
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...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson plan introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners...
CK-12 Foundation
Arithmetic Sequences: Paying of a Loan
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
Curated OER
Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
Curated OER
Mathematical Relationships
Young scholars 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...
Curated OER
Slippery Slope
Students define patterns, relation and function. In this algebra instructional activity, students find the slope of a line and write equations of line. They model the slope using real life scenarios.
Curated OER
Optimization For Breakfast
Students identify he proportion of a cereal box. For this algebra lesson, students define the relationship between patterns, functions and relations. They model their understanding using the cereal box.
Curated OER
Complex Analysis: Transformations
In this transformation activity, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page activity contains six...
Curated OER
Slopey Math
Students identify the slope of a line and use it to solve real life problems. For this algebra lesson, students write linear equations in slope intercept form and make a correlation to its relation to the real world. They use the slope...
Curated OER
The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
Curated OER
Systems of Linear Equations - Standard Form
Learners write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
Curated OER
FCAT Real World Solving Linear Equations/Systems
Pupils relate real life situation to the equations, graphs and inequalities. They model real life scenarios using matrices and draw conclusions from their data. This lesson plan is aligned with FCAT.
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