Illustrative Mathematics
As the Wheel Turns
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...
EngageNY
Solving a Linear Equation
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Curated OER
Absolute Value of Linear Functions
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
Curated OER
The Method of Integration by Parts
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
Curated OER
Differential Equations
In this differential equation learning exercise, students find the derivative of given equations and express their answers as Maclaurin series. This two-page learning exercise contains examples and explanations. There are two problems in...
Inside Mathematics
How Old Are They?
Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.
Curated OER
Arithmetic and Geometric Progressions
For this arithmetic and geometric progressions worksheet, learners solve and complete 8 different types of progression problems. First, they determine whether each progression is arithmetic, geometric, or neither. Then, students find the...
Curated OER
Modeling a Planetary Nebula
In this modeling a planetary nebula learning exercise, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points...
Curated OER
Interpolating Function
In this interpolating function learning exercise, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms....
Curated OER
Naming Polynomials
In this algebra activity, students classify polynomials by their degree and number of terms. There are 30 questions with an answer key.
Curated OER
Falling into a Black Hole
In this black hole worksheet, students solve 3 problems given the equation used to determine the speed of a falling body using its mass, the constant of gravitation and the distance it will travel.
Curated OER
A Bird's Eye Look at the Sun-Earth System
In this Sun-Earth system worksheet, students fill in blanks with the proper terms from a given list to complete a summary of the relationship between the Sun and the Earth. A major topic includes how solar storms effect the Earth and the...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
Curated OER
Worksheet 16
For this math worksheet, students consider a constant coefficient linear second order differential equation. Then they solve the homogeneous equation.
Curated OER
Difference of Equations
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
Curated OER
Algebra Expressions
In this algebra expressions worksheet, students solve 10 various problems that include solving algebraic expressions. First, they substitute each given expression into the appropriate place and then solve the equation. In addition,...
Curated OER
Building Patterns Incrementally
Students study the recurrence rules for patterns where the increase from one term to the next is not constant. They look for the recurrence rule on their own. They copy the pattern and create the next element, continue the pattern with...