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...
Saxon
Plotting Functions
Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Graph Mole
Practice graphing ordered pairs by playing an online graphing game. Learners will discover why it is useful to plot coordinates on a xy plane. Graph Mole, is the online game that allows them to practice through a fun, interactive story....
Curated OER
Location on a Grid
This grid features 15 animals, and scholars use a coordinate system to describe the location of each. The x-axis is labelled with letters and the y-axis with numbers, and they list the coordinate pairs beside the animal names below the...
Curated OER
Location on a Grid
Make coordinate pairs more engaging by having beginners color-code a grid based on given locations. The grid has numbers along the y-axis and letters along the x-axis, introducing them to the ordering of coordinate pairs with the x-axis...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Curated OER
Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
Curated OER
Number Pairs
As you introduce graphs to young scholars, use this coordinate pairs activity to give them some independent practice. Learners examine 12 points on a graph, all of which are in the first quadrant (and therefore positive). They write the...
Curated OER
Reflecting Reflections
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.
Curated OER
Shapes on a grid #1
Before learning about the coordinate plane and ordered pairs, have kids get used finding locations on the grid. They are given a simple set of coordinates, which they will locate on the grid. A great way to introduce the concept.
Curated OER
Graphing Ordered Pairs
Are you working on graphing ordered pairs in your class? In this worksheet, learners, after looking over and studying how to graph ordered pairs, plot points on a coordinate grid and connect the dots. Class members also identify what...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Curated OER
Dilations and Similarity
For this dilations and similarity worksheet, pupils solve 10 different problems that include various dilations. First, they determine the scale factor of dilations found in the illustrated graphs. Then, everyone determines the...
Curated OER
Dilations with Matrices
Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated...
Curated OER
Easter Graphing Fun
Graphing can be festive! This Easter worksheet has scholars using coordinates to record the location of ten holiday images. The first is done for them, and the grid is large and appealing to younger learners. Consider visualizing this...
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
Space Shuttle's Heat Shield Problem
Students participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Curated OER
Location on a Grid
Locating a point on a grid is an important skill to master; use this practice sheet to give schlars some clear and useful experience. On a large, simple grid they use a coordinate system to find specific squares and color them a given...
Curated OER
Number Pairs
As you introduce graphs and coordinate pairs, use this guided activity to get scholars started. They reference an example before recording number pairs to identify the location of 12 letters on a grid. Next, learners examine shapes on a...
Education Development Center
Finding Triangle Vertices
Where in the world (or at least in the coordinate plane) is the third vertex? Given two coordinate points for the vertices of a triangle, individuals find the location of the third vertex. They read an account of fictional...
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...
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