BW Walch
Linear & Exponential Functions
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
West Contra Costa Unified School District
Mixture Problems
Mix up your lessons with the resource on mixture problems. Scholars use manipulatives to model and solve mixture problems. Individuals then set up both one- and two-variable equations to solve the problems.
National Security Agency
Equations and Expressions
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives,  real-world applications, and problem solving, learners write...
Virginia Department of Education
Equations
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
EngageNY
Examples of Functions from Geometry
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
EngageNY
Creating Division Stories
Create your own adventure story ... well, not really. The fifth lesson in a 21-part series has pairs create story contexts for division problems. The lesson presents a step-by-step process for pupils to follow in writing such stories.
EngageNY
Proof of the Pythagorean Theorem
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
EngageNY
Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
BW Walch
Creating and Graphing Linear Equations in Two Variables
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is taken to discuss...
BW Walch
Creating and Graphing Exponential Equations
Frequently found in biology and economic application problems, exponential equations show up as stars in this introductory presentation. Taking no background or knowledge of exponentials for granted, the slides walk learners through the...
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous instructional activity in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the...
CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
CK-12 Foundation
Sine Graph and Cosine Graph: Changing Amplitude
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
CK-12 Foundation
Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Vertical Translations: Translating a Square Root Function
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
CK-12 Foundation
Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
CK-12 Foundation
Mutually Inclusive Events: Flower Beds at the Community Garden
What color does your garden grow? Learners manipulate the number of flowers of two colors in two garden plots. They determine the probabilities of choosing a particular color of a flower in a given plot. Scholars find the relationship of...
CK-12 Foundation
Basic Geometric Definitions: Alternate Dimensions
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
CK-12 Foundation
Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
CK-12 Foundation
Function Rules for Input-Output Tables: Tickets at an Arcade
This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...
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