Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
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...
Curated OER
Fly on the Ceiling
Fourth graders complete activities to increase their understanding of coordinates. They listen to Julie Glass' book, The Fly on the Ceiling, before playing fly tic-tac-toe and Swat the Flies, in which they use ordered pairs to state the...
Curated OER
Determine the Coordinate of Transformations
Young scholars investigate transformation on a coordinate plane. In this geometry lesson, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
Curated OER
Parallels and Distance
In this parallels and distance worksheet, 10th graders solve 8 problems related to parallels of lines and the distance between each line. First, they draw the segment that represents the distance indicated in each figure. Then, students...
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...
Curated OER
Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Virginia Department of Education
Spring Fling Carnival
Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.
Curated OER
Multivariable Calculus: Visualizing Multivariable Functions
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.
Curated OER
Geometry Coordinates
In this geometry worksheet, 10th graders calculate ordered pairs using a table to plot the coordinate pairs to make a graph. There are 3 graphing question.
Curated OER
Quiz: Translations and Vectors
For this translation and vector worksheet, students graph and label translations of polygons and points. Translation instructions are given as ordered pairs, as well as in written words. This one-page worksheet contains ten problems.
Curated OER
Worksheet 11
In this math learning exercise, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
Marshall Cavendish International
Coordinate Plane Treasure Hunt
Similar to the game Battleship®, partners try and determine where the opponent buried their treasures on the hidden coordinate plane. Two types of planes are provided, one with only quadrant one and one with all four for a higher...
Curated OER
Dissecting Owl Pellets
Students watch the teacher model the dissection then in pairs, they dissect an owl pellet and identify its contents. They record the data about its prey on a graph.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Curated OER
Yummy Math
Young mathematicians use bags of Skittles to help them gain practice in graphing and organizing data. They work in pairs, and after they have counted and organized their Skittles, they access a computer program which allows them to print...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...