Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Curated OER
Let's Plot Points
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Curated OER
Translating Words to Algebraic Expressions
Seventh graders translate word sentences to algebraic expressions. In groups of three, 7th graders determine the number of times their heart beats in fifteen seconds. Using this data, they calculate the heartbeats per minute, in five...
National Security Agency
What’s Your Coordinate?
Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Study Jams! Creating Equations from Word Problems
Word problems are full of information waiting to be deciphered. This animated video explains how to look for the important parts and how to translate those word cues into the correct signs. Go through a problem from start to finish and...
Curated OER
Coordinate Graphs, Translations and Reflections
Students perform translations and reflections. For this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
Curated OER
Fishing for Points TI-83/83 Plus
Ninth graders investigate the Cartesian coordinate plane. In this Algebra I lesson, 9th graders explore the coordinates of a drawing of a fish and examine the effects of moving the drawing on the ordered pairs. Students predict the new...
Curated OER
Test #2 Equations Review
For this equations review worksheet, students solve algebraic equations with one variable. They use inverse operations to solve for the unknown. Students translate word sentences to number sentences and then solve. This two-page...
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...
Illustrative Mathematics
Similar Circles
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of deceptively...
Curriculum Corner
7th Grade Math "I Can" Statement Posters
Translate the Common Core math standards into a series of achievable "I can" statements with this collection of classroom displays. Offering posters for each standard, this resource is a great way to support your seventh graders as they...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
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
Inequality as Distance
In this algebra worksheet, 10th graders calculate the distance between two points using inclusive and exclusive values. They graph their results on a number line. An answer is provided.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
Curated OER
Course of Antibiotics
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
Curated OER
Algebra II - Lesson 10-3: Circles
In this equations of circles learning exercise, high schoolers solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...