Benjamin Banneker Association
Celebrate Benjamin Banneker
Inventor, astronomer, surveyor, mathematician, clock maker. Learners celebrate the life of Benjamin Banneker by building creative analog clocks, making scale models, and solving problems related to surveying. The activities model the...
Curated OER
Problem-Solving Decisions: Reasonable Answers
In this problem solving worksheet, students answer 6 questions pertaining to a story problem about a tabletop scale model of the Nile River.
Curated OER
Measuring Speed in the Universe
In this measuring speed in the universe worksheet, learners use photographs of 3 astronomical phenomena including supernova explosions, coronal mass ejections and solar flare shock waves to find how fast they move. The photographs show...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
EngageNY
Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
Mascil Project
Design a Parking Garage
Parking structures don't build themselves. Investigate the process of designing and planning the construction of a parking garage. After considering the factors that must go into the design, scholars create their own models from a set of...
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
EngageNY
Mid-Module Assessment Task - Geometry (Module 2)
Challenge: create an assessment that features higher level thinking from beginning to end. A ready-made test assesses knowledge of dilations using performance tasks. Every question requires a developed written response.
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 triangle...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
Pennsylvania Department of Education
Problem Solving by Using Multiplication to Solve Division Problems
Students use index cards, counting cubes, and their own understanding to identify how division problems can be solved by using multiplication. In this division lesson plan, students use their multiplication skills to solve division...
Curated OER
Hierarchy Theory and Biotic Hierarchy
Students examine the hierarchy theory and biotic organization by playing a teacher-created card game matching groups of items, such as organelles, in suits of four. They discuss the reasons for their hierarchical organization of the...
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
Noyce Foundation
Candy Fractions
While examining fractions and ratios, your leaners get to read about one of their favorite subjects: candy! There are four word problems on this worksheet. Learners consider situations in which "for every x caramels there are y...
Curated OER
Maps
Students figure out the mileage from one state to another using a map. In this map lesson, students look at the scale factor and turn it into a fraction. They measure the distance between two cities and use the proportion to find the...
Curated OER
Intuitive Notion of Dilation
In this dilation worksheet, students identify pictures of a dilation. They determine the scale factor and length of missing sides. This one-page worksheet contains ten problems.
Curated OER
Enlargement
In this enlargement worksheet, 6th graders solve and complete 3 different types of problems. First, they enlarge the given shape by a scale factor of 3. Then, students find the scale factor of the next enlargement. Finally, they enlarge...
Curated OER
Scale Me Down
Students create scale drawings, and ultimately scale models, of real-world objects in this Math lesson about ratios, proportion, scaling factors, and cross products. The lesson includes ideas for cross-curricular extensions and is...
Curated OER
Triangles
In this triangles worksheet, 10th graders solve and graph 8 different problems that include various transformations. First, they write a rule for the composition of a dilation of a scale factor. Then, students determine whether a graphed...
Curated OER
Six Exercise Sets on Transformations
Middle and high schoolers solve fifteen problems from six exercise sets covering transformations, reflections, rotations, and enlargements. The solutions are provided.
Curated OER
Ratio and Proportion Word Problems
For this ratio and proportion worksheet, 8th graders solve 10 different word problems that include determining the ratio and probability of events described. First, they determine the ratio of hawks to crows in a cornfield. Then,...
Curated OER
Delivery Trucks
Written to assess students' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.
EngageNY
How Do Dilations Map Segments?
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions.