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Lesson Plan
Illustrative Mathematics

Animal Populations

For Teachers 9th - 12th Standards
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
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Lesson Plan
Curated OER

Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a scatter...
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Interactive
CK-12 Foundation

Plots of Polar Coordinates: Submarine Sonar

For Students 11th - Higher Ed Standards
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar coordinates...
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Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
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Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 8

For Students 7th - 9th Standards
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire and...
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Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a learning exercise, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
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Lesson Plan
Curated OER

Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Worksheet
Curated OER

Standard Form

For Students 11th
In this standard form activity, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write in...
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Worksheet
Curated OER

Sigma Detectives

For Students 10th - 12th
In this sigma worksheet, students evaluate patterns. They find the sum of the digits in a sequence and write the formula to produce the sequence. This one page worksheet contains four multi-step problems.
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Handout
1
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Chapman University

Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true. 
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Worksheet
Curated OER

Worksheet 12: Sequences

For Students Higher Ed
In this sequences worksheet, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page worksheet contains twenty-five problems. It...
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Activity
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Illustrative Mathematics

Combined Fuel Efficiency

For Teachers 8th - 11th Standards
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
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Lesson Plan
1
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EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
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Assessment
Mathematics Assessment Project

Table Tiling

For Students 9th - 11th Standards
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
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Lesson Plan
EngageNY

Geometric Sequences and Exponential Growth and Decay

For Teachers 10th - 12th Standards
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
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Lesson Plan
1
1
EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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Activity
International Technology Education Association

Dampen That Drift!

For Students 10th - 12th Standards
The spacecraft is drifting too far off course! Two games help explain how a spacecraft can use its thrusters to maintain its position. The games have pupils be the components of vectors in order to create and counteract the disturbances. 
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Lesson Plan
Curated OER

Extra Practice 39: Multiplying, Dividing, and Simplifying Radical Expressions

For Teachers 10th - 11th
For this radical worksheet, pupils use multiplication and division to solve equations. All expressions on this worksheet represent non-negative numbers. Radicals include exponents and complex fractions. This two-page worksheet contains...
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Lesson Plan
Curated OER

Precalculus Pretest

For Teachers 9th - 11th
Students complete a pretest as practice for their review. In this precalculus lesson, students find the distance between points and the trigonometric identity of the sine, cosine and tangent. They solve problems using complex and...
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Worksheet
Curated OER

PreCalculus Worksheet 8.4

For Students 11th - 12th
In this precalculus worksheet, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight short answer...
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Lesson Plan
Virginia Department of Education

Quadratic Equations

For Teachers 9th - 12th
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
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Lesson Plan
1
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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...

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