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Lesson Planet

#### Intersections II

How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

Lesson Planet

#### Integer Solutions

Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.

Lesson Planet

#### From Tan to Ten

Combine simplifying trigonometric expressions with evaluating them! An open-ended question presents a trigonometric expression and numeric values for additional expressions. Learners must determine a value for the original expression by...

Lesson Planet

#### Say v. Think

Getting students ready for a model United Nations? Clarify some of the common terms in a Model UN meeting with a matching learning exercise. Learners read the official committee line and pair it with its intention.

Lesson Planet

#### Systematic Solution I

Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...

Lesson Planet

#### Symbolic Similarity

How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...

Lesson Planet

#### Swimming Pool II

Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then determine...

Lesson Planet

#### Strings and Areas

You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...

Lesson Planet

#### Broken Spreadsheet II

Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...

Lesson Planet

#### Defining Logarithms

An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...

Lesson Planet

#### Circling Trains

And round and round the park we go! Given a description of an amusement park with the locations of three attractions connected by walkways, learners consider what happens when additional attractions join the mix by doubling the length of...

Lesson Planet

#### Circling

Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...

Lesson Planet

#### Center of Population

Let the resource take center stage in a lesson on population density. Scholars use provided historical data on the center of the US population to see how it shifted over time. They plot the data on a spreadsheet to look the speed of its...

Lesson Planet

#### Identifying Narrative Perspective

To demonstrate their understanding of point of view, young readers identify the narrative perspective of excerpts from popular novels and then explain how they were able to identify the point of view of the passage.

Lesson Planet

#### The Line and the Ellipse

What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...

Lesson Planet

#### Systematic Solution II

Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their process and the...