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Best Midpoint
Develop a strong understanding of what it means to be a midpoint. Learners analyze the angles, coordinates, and lengths of segments and their approximated midpoints. They use their analyses to develop a formula to rank four attempts at...
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the...
CK-12 Foundation
Midpoint and Segment Bisectors: Finding Treasure with Geometry
Send your class on the hunt for a buried treasure and apply geometry skills along the way. An engaging lesson uses direction and midpoint locations to find the location of a treasure. Videos provide background information to complete the...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
EngageNY
Distance and Complex Numbers 2
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...
Curated OER
Creating a Midpoint Quad
Using a TI Navigator to drag quadrilaterals around to create different shapes, high schoolers learn how to draw midpoints in their quadrilaterals. In this geometry lesson, students solve problems using the properties of...
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Curated OER
Midpoint Formula in the Coordinate System
Students calculate the midpoint of a line. In this geometry lesson, students identify the different parts of the coordinate plane. They use the midpoint formula to find the middle of segments between a pair of coordinates.
Texas Instruments
Investigating Segments in a Quadrilateral
Investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral. For this properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral lesson, students...
Curated OER
Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
Curated OER
Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given...
Curated OER
Investigating Segments in a Triangle
Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...
Curated OER
Midsegments of Quadrilaterals
High schoolers explore the concept of quadrilaterals as they find the midsegments of quadrilaterals using Cabri Jr. on a graphing calculator. They find midpoints, slopes, angles, and distances of lines and angles.
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
CK-12 Foundation
Points that Partition Line Segments: Cutting a Log
Teach ratios of line segments using an interactive approach. Scholars examine a line segment in the shape of a log and use their knowledge of ratios to divide it into various partitions. As an introductory lesson, the segment has a...
Curated OER
Investigating Lengths of Segments in a Triangle
Pupils explore the midsegment of a triangle in the geometry lesson. They draw and measure the segment joining the midpoints of the two sides of a triangle and compare its length to the length of the third side of the triangle. The...
Curated OER
Constructing Perpendicular Bisectors
Tenth graders investigate parallel lines and the angles formed when cut by a transversal. In this geometry lesson, 10th graders construct perpendicular lines and discuss midpoint, segments and perpendicular bisectors. They relate...
Curated OER
Coordinate Plane
Tenth graders plot points on a coordinate plane. In this geometry lesson plan, 10th graders identify the different quadrants, plots points on a number line and coordinate plane and solve for the midpoint of line segments.
Curated OER
Quadrilateral within Quadrilaterals
Learners investigate the properties of quadrilaterals. In this geometry lesson, students solve problems dealing with construction and designs. They work with quadrilaterals, midpoints and parallelograms.
Curated OER
Creating Fractals
Students solve problems using fractals. In this geometry instructional activity, students identify properties of fractals. They find patterns in their surroundings and relate it to the real world and math.
Curated OER
Isosceles Triangles
Students identify the properties of an isosceles triangle. In this geometry instructional activity, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
Curated OER
Median of a Trapezoid
Students find the median of trapezoids and other polygons. In this geometry lesson, students identify important properties of trapezoids. They create trapezoids and polygons using Cabri software.
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