EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
National Nanotechnology Infrastructure Network
Mixtures and Nanotechnology
What does size have to do with it? Learners analyze different mixtures, both homogeneous and heterogeneous, to discover the properties related to the size of their particles. The activity connects these properties to those of...
EngageNY
Similarity
Learn similarity through a transformations lens! Individuals examine the effects of transformations and analyze the properties of similarity, and conclude that any image that can be created through transformations is similar. The...
Curated OER
Using Similar Polygons
In this geometry worksheet, students use the properties of similar polygons to find the indicated missing length or the scale factor. The two page worksheet contains twenty-two questions. Answers are included.
Curated OER
Practice Final
A full-fledged practice final prepares pupils for their general chemistry final exam. If they complete these 57 multiple-choice questions correctly, they will be well-prepared. Note: even though the questions are multiple-choice, there...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to illicit...
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
Curated OER
Does Size Matter?
Young scholars explore the surface area to volume ratio in cellular respiration. While participating in an interactive lab experiment, they examine proportional surface area and discuss nanotechnology. Students observe the...
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
As the Bird Flies
Young scholars investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have...
Curated OER
Decimal Fractions of a Set
Sixth graders practice problem solving equations of fractions, ratios and proportions, addition and subtraction stage 6 as well as advanced additive. Emphasis is placed on decimal fractions and then they convert fractions to decimals.
Curated OER
Design a Track
Young scholars investigate track and field dimensions, measure an actual track, and construct a scale model. The use of a meter stick, dimensional analysis, and the application of the distributive property to variables forms the main...
Illustrative Mathematics
Friends Meeting on Bikes
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Curated OER
Proportional Similarities
Students model the geometric relationship with graphing. For this geometry lesson, students differentiate between parallel, perpendicular, similar and congruent shapes. They use properties of polygons to differentiate their shapes...
Curated OER
Robot Ratios
Students measure the activity and parts of a robot. In this algebra lesson, students explore ratio and proportion using their classroom. They apply properties of fractions as they cross multiply to solve problems.
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit particular...
American Institute of Architects
Architecture: It's Elementary!—First Grade
Build an interest and appreciation for architecture in your young learners with this fun 10-lesson art unit. Engaging children in using their five senses, the class first observes the environment around them, paying special attention to...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Beyond Benign
Green"er" Precipitation Reaction
All sodium carbonate may not have the same amount of carbonate, but it should have the same percent. Learners write and balance an equation to predict the chemical reaction between sodium carbonate and zinc acetate. Through the lab...
Internal Revenue Service
Fairness in Taxes: How Taxes Affect Us
Students are able to compare the effects of the following, using income as a measure of ability to pay: a progressive tax, a regressive tas, and a proportional tax. They explain how a mixture of regressive and progressive taxes could...
Curated OER
Using Ratios to Taste the Rainbow
Learners solve problems using ratios and proportion. In this algebra lesson, students analyze skittles and their different colors as they apply the properties of ratios and proportions to solve their problems.
Curated OER
Angular Size and Similar Triangles
In this angular size and similar triangles worksheet, students use the properties of similar triangles and the ratios of sides to solve for unknowns in given diagrams.
Curated OER
Multiplication and Division Pick 'n' Mix 2
Fifth graders practice a wide range of strategies for solving multiplication and division problems with whole numbers and decimal fractions. They interact with operations on decimals, relevant size and place value of decimals to three...
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...