EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
Curated OER
Transformations
In this transformations worksheet, students solve and complete 5 different problems. First, they match each equation with the correct graph found on the right side of the page. They also verify the graphs are correct by using a graphing...
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
Texas State Energy Conservation Office
Investigation: Kinetic and Potential Energy
A well-developed lab sheet guides physical science learners through an investigation of kinetic and potential energy. In small groups, collaborators discover whether or not the ramp height or mass of an object has an effect on the...
Curated OER
Triangles
In this triangles worksheet, 10th graders solve and graph 8 different problems that include various transformations. First, they write a rule for the composition of a dilation of a scale factor. Then, students determine whether a graphed...
Curated OER
Reflections
In this math worksheet, students practice constructing reflections of shapes already present in a grid-based graph. This simple worksheet has 12 problems for the students to solve, and includes an answer sheet.
Curated OER
Trigonometry Review
In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not included.
Curated OER
Graph a csc Trigonometric Function
In this trigonometry function worksheet, students graph one csc function with transformations. A grid for graphing is provided.
Curated OER
Rotations
Use this math activity to have your learners practice constructing a reflection of a shape drawn on a grid by using rotation. This simple activity has six problems for the pupils to solve, and includes and answer sheet.
Curated OER
Transformations: Rotation
In this rotations worksheet, 10th graders solve and complete 10 different problems that include measuring various types of transformations of geometry. First, they determine the measure of an angle between two pointers. Then, students...
Curated OER
Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
Curated OER
Worksheet 6, Graphing Functions
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
NASA
An Astronaut in Motion
How do you model the movement of an astronaut? The activity features software that uses an avatar to mimic movement. Groups work to determine the translation between the pre-image and the image. They then experiment with reflections in...
Curated OER
Transforming Parabolas
For this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola. The three page worksheet provides explanation of topic, worked examples, and four practice problems. Answers are...
Achieve
BMI Calculations
Obesity is a worldwide concern. Using survey results, learners compare local BMI statistics to celebrity BMI statistics. Scholars create box plots of the data, make observations about the shape and spread of the data, and examine the...
Curated OER
Reflection
In this math worksheet, students practice their skills in constructing reflections of shapes that are on a grid. This worksheet has 13 problems for the students to solve, and includes an answer sheet.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your learners' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
Illustrative Mathematics
Medieval Archer
This activity presents a problem about a computer game which uses functions to simulate the path of an arrow fired by an archer. Learners use the given function to determine where the archer must stand in order to fire an arrow that will...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th activity in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...