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
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Curated OER
Cartesian Coordinate System
Students research the Cartesian Coordinate System and its many uses in the world of mathematics and algebra.
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Mathematics Assessment Project
Representing and Combining Transformations
Transform your learners into master geometers with an activity that asks them to first complete an assessment task drawing the result after transformation of a given shape in the coordinate plane. They then use cards to...
Curated OER
Using Coordinate Geometry by Land, Sea and Outer Space.
Students complete a table of values and plot points, as well as construct a graph on a coordinate grid. They construct two graphs on the same coordinate system, and identify the point of intersection. Students represent and record...
Curated OER
Find the Shape
Students identify points on the coordinate plane using ordered pairs and also plot the ordered pairs on the coordinate plane. They also use properties of shapes to identify polygons such as triangles and quadrilaterals
(square,...
Curated OER
Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
Curated OER
Determine the Coordinate of Transformations
Students investigate transformation on a coordinate plane. For this geometry lesson, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.
Curated OER
Translating Transformations in Geometry
Students create an image using given coordinates and evaluate how the coordinates change when a slide or rotation takes place.
Curated OER
Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
Curated OER
Graphing Coordinates
Sixth graders practice graphing coordinates. In this geometry lesson, they use the x and y axis to locate points that must be connected in the right sequence to form a straight line.
Curated OER
Algebra/Geometry Institute Summer 2007: Graphing Activity
Seventh graders practice identifying coordinates by examining a city map. In this graphing activity, 7th graders create coordinate directions on an index card and practice locating these locations on a grid. Students read and...
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...
EngageNY
Examples of Dilations
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Curated OER
Impossible Graphs
Middle schoolers practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a...
Curated OER
Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Curated OER
The Treasure Map
Third graders problem solve using drawings and map interpretations. They preview graphs and Cartesian geometry. They follow directions on a map using a grid and compass references while simulating they are reading a pirate map.
Curated OER
Coordinates
Fifth graders explore a plotting on a coordinate plane. Using a specified website, they play a "Maze Game" where they navigate a robot through a minefield. As students work through the problems, the rigor of the problems increase. ...
Curated OER
Coordinates
Fourth graders explore plotting on a coordinate plane. They visit a given website and play a game called, "Billy Bug." Students use coordinates to guide the bug to its food. Afterward, they complete follow-up problems to reinforce the...
Curated OER
Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
Curated OER
Perpendicular and Angle Bisectors
In this geometry worksheet, 10th graders solve problems that are based on the theorems associated with perpendicular and angle bisectors of a triangle. An application on the coordinate plane is included. The one page...
Curated OER
Line 'Em Up!
Students find coordinate points on a grid and create a line graph with those points. This lesson should ideally be used during a unit on various types of graphs. They make and use coordinate systems to specify locations and to describe...
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