Curated OER
Reflections
In this math worksheet, students practice constructing reflections of shapes already present in a grid-based graph. This simple worksheet has 12 problems for the students to solve, and includes an answer sheet.
Curated OER
Does the falling tree make a sound if no one if there to hear it? (or communication via encryption)
Students explore encryption. They discuss the importance of cryptography in our daily lives. Students use games and cryptography to discover transformational geometry and modulo systems. They design their own encryption puzzles and...
Curated OER
Transformations
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
Curated OER
Cracks on the Walls
Young scholars observe the cracks in school walls and pavements. For this geometry lesson, students explore the factors to be considered before building a structure. They complete a graphing and calculation worksheet after the lesson.
Curated OER
Copycats
Third graders describe the features of 2 and 3 dimensional objects and use the language of geometry. They design and make a pattern which involves translation, reflection or rotation.
Curated OER
Algebra II: Crickets-Nature's Thermometer
Students translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations and...
Curated OER
Illustrate Inequalities
Sixth graders participate in a lesson that involves the concept of inequalities. They translate the words of problems and put them into a visual illustration. The illustration should include a number line for assessment.
EngageNY
Dilations from Different Centers
Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both and...
EngageNY
General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
Curated OER
Pythagorean Theorem Word Problems
Students investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...
Curated OER
Introduction Points
In this math activity, middle schoolers find the points on the Cartesian plane. The graphs use the color green and red to differentiate the positive and negative points.
Curated OER
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Curated OER
Geometric Collages
Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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...
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,...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
Curated OER
Drawing to Scale
Students examine the process of drawing a picture to scale. They analyze and discuss real-life blueprints for a house, and create a scale drawing of an original invention using calculators and rulers.
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Curated OER
Pilgrims and Puritans
With graphic organizers galore, learners will follow the changes of church and state in early colonial America. They look at the differences between the pilgrims and the puritans in terms of beliefs and life ways. Myths and...
EngageNY
Are All Parabolas Congruent?
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.