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...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
PBS
Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines
Your young graphers are motivated by watching three Cyberchase videos to plot points in all four quadrants, connect pairs of points to make a line segment, and find the point of intersection of two lines.
Radford University
Parallel Lines, Transversals, and Angles: What’s the Connection?
Streets, bridges, and intersections, oh my! Parallel lines and transversals are a present in the world around us. Learners begin by discovering the relationship of the angles formed by parallel lines and a transversal. They then...
Council for Economic Education
Why Didn't China Discover the New World?
Who was Zheng He and why haven't we heard of him? Scholars consider the question as they compare his vast expeditionary force to that of Christopher Columbus. Young historians then ponder the intersection of science, economics, and...
PBS
What's In a Name?
What is in a name? Eager historians trace the geographical history of places in the United States with Spanish names. Using a worksheet activity, clues, and web research developed in conjunction with the PBS "Latinos in America" series,...
Radford University
Triangular Irrigation
Try to keep the pipe short. Learners investigate where to place a water pump to use the least amount of pipe. Scholars use their knowledge of reflections and congruent triangles to find the best location for the water pump. Finally, they...
Radford University
Finding a Location for Your Kitchen Island
Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...
Radford University
Streets of Stephens City
Who has the best street smarts? An educational lesson has future mathematicians analyze street maps and measure angles on the map to determine if streets are parallel. They also consider safety issues at different types of intersections.
Radford University
Saving the US from a Missile Crisis
Mathematically shoot down an incoming missile. Given information about the Cuban Missile Crises, learners calculate the equation of the trajectory of an imaginary missile launched from Cuba toward Washington, D.C. Scholars determine the...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Virginia Department of Education
Solving Linear Equations
Practice solving linear equations by graphing. Scholars learn to solve multi-step linear equations in one variable by graphing both sides of the equation separately. They use graphing calculators to find the intersection of the graphs.
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...
Curated OER
Linear Modelling of the Life Expectancy of Canadians
Middle and high schoolers explore the concept of linear modelling. In this linear modelling lesson plan, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and...
Curated OER
Similar Situations
Students explore intersecting lines. In this intersecting lines lesson, students investigate shapes consisting of parallel, perpendicular, and similar lines. Students investigate these lines in shapes around them.
Curated OER
Investigation: Linear Quadratic Systems
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Curated OER
Quiz: Exponential Functions
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Curated OER
Solving Linear Systems by Graphing
A learning exercise that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and...
Curated OER
Concurent Circles II
In this geometry worksheet, students draw a shape based on the directions. They tell the reasons the four resulting circles are concurrent. A sample drawing is included.
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates worksheet, 10th graders solve 16 various types of geometry problems that include identifying the hypothesis and conclusions of each conditional statement. Then, they write each conditional...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts activity, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find the...
Curated OER
Parallelograms
In this parallelograms worksheet, 10th graders identify and describe a quadrilateral, a diagonal, and a parallelogram in 7 different problems. First, they find the values of x, y, and z in each quadrilateral to prove that it is a...
Curated OER
Polygons
For this polygons worksheet, 10th graders identify and define both a polygon and a convex polygon and then, they apply two theorems that involve the interior and exterior angles of a convex polygon. First, they find the sum of the...
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 10th graders solve 8 different problems that are related to using inductive reasoning and conjecturing. First, they determine if the conjecture is true or false based on the given...
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