EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
DiscoverE
Designing Highway Interchanges
How do engineers determine the most efficient highway designs? Introduce young scientists to the world of topology, the branch of mathematics that examines how things are connected. Teams use model highways to create the most...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Curated OER
Reflected Triangles
Your learners find and construct the line of reflection between a triangle's pre-image and its reflection image in this short activity.
Curated OER
Cartography Project
A lesson involving mapping, the use of a compass, writing and following directions, and exploring the first two themes of geography is here for you. Learners create original maps that show the routes they take through their own...
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Curated OER
Systems of Linear Inequalities
Graphing systems of linear inequalities is the focus of this worksheet. Problems range from checking solutions of inequalities, graphing systems of two inequalities, and graphing systems of three inequalities. Graphing horizontal lines,...
Curated OER
Chopping Cubes
Middle schoolers work in small groups to make various geometric solids with Play-Doh. They use fishing line to make cuts and observe the shapes of the cross-sections. Pupils complete an assessment in which they answer questions such as:...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Circumcenter of a Triangle
Your geometry learners will discover and show the construction of the circumcenter of a triangle. Guided by the steps in the activity, they construct perpendicular bisectors of each side that have a point of concurrency called the...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
PBS
Geometry: Hide and Seek
A geometry game that resembles Battleship is the foundation for hide and seek where "hiders" draw shapes on coordinate planes and "seekers" must guess the shape and its location based on questions and clues. Reproducible, paper-sized...
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a...
Curated OER
Basic Geometric Constructions
Students observe and demonstrate a variety of basic geometric constructions using the Triman Safety Compass. Using the compass, they draw circles, bisect a line segment, construct an angle, bisect an angle, copy an angle, and create...
Curated OER
Solving Systems by Graphing
In this solving systems by graphing worksheet, 9th graders solve and complete 5 different problems. First, they change each equation to graphing form. Then, students graph each line and find their point of intersection. In addition, they...
Curated OER
Pattern and Shading
Students dentify patterns in their everyday environment. They create several types of pattern, including hatching, crosshatching, and stippling and discover that hatching lines may be drawn horizontally, vertically, or diagonally.
Curated OER
Our Geometic World
Young scholars walk around the neighborhood and identify various polygons and lines in buildings, nature and other objects. They design a building using various geometric patterns, shapes and lines. Students complete a descriptive...
Curated OER
Geometry: Lesson 8
Eighth graders engage in a lesson plan that is concerned with the finding of angles that are found in different two dimensional figures. They compare and contrast exterior and interior angles while also determining the unknown measures...