Worksheet
Curated OER

Points, Regions, Distance and Midpoints

For Students Higher Ed
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...
Lesson Plan
Education Development Center

Points, Slopes, and Lines

For Teachers 6th - 9th Standards
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Lesson Plan
EngageNY

Positive and Negative Numbers on the Number Line—Opposite Direction and Value

For Teachers 6th Standards
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...
Lesson Plan
Curated OER

The Distance and Midpoint Formula

For Teachers Higher Ed
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula....
Assessment
Concord Consortium

Line of Sight

For Students 10th - 12th Standards
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Instructional Video9:56
Corbett Maths

Shortest Distance between Line and Point

For Students 8th - 12th Standards
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
Lesson Plan
EngageNY

The Distance from a Point to a Line

For Students 9th - 12th Standards
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 
Lesson Plan
EngageNY

Distance on the Coordinate Plane

For Students 6th Standards
Scholars learn how to find the distance of vertical and horizontal line segments on the coordinate plane in the 19th installment of a 21-part module. The use of absolute value comes in handy.
Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Worksheet
Curated OER

Length of a Line Segment - Distance

For Students 8th - 9th
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This...
Worksheet
Curated OER

Parts of a Line

For Students 6th - 8th
In this parts of line worksheet, students solve and complete 12 various types of problems. First, they find the length of the indicated line segments. Then, students determine the lengths of the line segments listed.
Worksheet
Curated OER

Number Lines

For Students 3rd - 4th
In this number lines worksheet, students complete questions where they identify specific points on a line. Students complete 10 multiple choice questions.
Lesson Plan
Curated OER

Worksheet 1 - Equation of a Line

For Teachers Higher Ed
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Worksheet
Curated OER

Distance on a Globe

For Students 5th - 7th
In this world globe worksheet, students read a detailed one page text about how to measure distance on a globe. Students answer 5 questions that will require a globe.
Workbook
1
1
University of Utah

Geometry: Angles, Triangles, and Distance

For Students 8th Standards
The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.
Lesson Plan
Odell Education

Distance and Midpoint Formulas

For Teachers 9th - 11th Standards
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Handout
Charleston School District

The Line of Best Fit

For Students 8th - 9th Standards
If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now,...
Worksheet
Curated OER

Regents Exam Questions: Distance

For Students 9th - 12th
In this distance instructional activity, students solve 12 multiple choice, short answer, and graphing problems.  Students use the distance formula to find the distance between two points.
Worksheet
Curated OER

length of the Line Segment

For Students 10th
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. 
Lesson Plan
EngageNY

There is Only One Line Passing Through a Given Point with a Given Slope

For Teachers 8th Standards
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Lesson Plan
Illustrative Mathematics

Operations on the Number Line

For Teachers 7th - 9th Standards
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Lesson Plan
EngageNY

Estimating Centers and Interpreting the Mean as a Balance Point

For Teachers 9th - 10th Standards
How do you balance a set of data? Using a ruler and some coins, learners determine whether the balance point is always in the middle. Through class and small group discussions, they find that the mean is the the best estimate of the...
Worksheet
Curated OER

Typical Conceptual Questions for Physics I - Light and Quantum

For Students 9th - 12th
This is a stellar overview of everything light and quantum! There are 30 multiple choice questions, none of them requiring any mathematical computation. There are a few diagrams to analyze: light rays striking reflective and refractive...