Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Curated OER
Tangents, Secants, and Chords
In this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
EngageNY
Problem Solving and the Coordinate Plane
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter and...
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
EngageNY
How Do Dilations Map Segments?
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions.
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
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.
CK-12 Foundation
Distance Between Two Points: Taxicab Distance
Apply geometry to find the distance as the crow flies. An engaging lesson compares the distance a car must drive to the straight line distance between two locations. Scholars must manipulate a simulation, note the change in distances,...
Curated OER
Segment and Distance
Students explore the definitions of segment and distance. They perform hands-on activities to form a segment and examine distance. Following teacher guidance, they construct congruent line segments. Independently, they find the...
Curated OER
Geometry - Segment Exercises
In this geometry instructional activity, 3rd graders draw the figure that is describe in each sentence. They use line segments and points as they draw or label each figure.
Curated OER
Segments
In this line segments activity, students complete problems involving points, longer and shorter segments, intersections, and more. Students complete 5 problems total.
Curated OER
Graph of a Function
For this graph of a function worksheet, students graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.
Kuta Software
Points in the Coordinate Plane
Keep young mathematicians on point with this coordinate plane worksheet. From plotting ordered pairs to identifying the quadrant and coordinates of specific points, this resource covers all the basic skills students need to have when...
Curated OER
Points on a Line Segment
In this geometry worksheet, 10th graders solve a problem relating to the length of a line segment. The location of the points on the segment is given in terms of ratios. The one page worksheet has one problem with the solution.
Curated OER
length of the Line Segment
In this geometry worksheet, 10th graders use the distance formula to determine the length of the give line segments. The one page worksheet contains eight problems. Answers are provided.
Curated OER
Sample Lesson Plan on Lines and Angles
Student complete worksheet using the definitions of lines and angle vocabulary. They define the word and follow a direction given on the worksheet such "construct a line." They complete an online tutorial on how to measure angles using a...
Math Worksheets Land
Represent a Fraction on a Number Line
A number line serves as the medium to display visual fractions as scholars examine two points along its segmented length. The line is split into quarters and scholars determine which fraction is represented by two letters labeled at...
Curated OER
Points, Lines, and Distance
Young scholars calculate the distance between two points. In this geometry lesson, students define the meaning of the distance between parallel lines. They find the point of intersection of other lines.
Curated OER
Point Reflection
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000.
Curated OER
Points, Regions, Distance and Midpoints
In this college level coordinate geometry worksheet, students identify and graph points on a coordinate plane, find the missing side of a right triangle, determine the distance between two points, and find the midpoint of a line...
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
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