EngageNY
Basic Properties of Similarity
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive. It...
EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
Teach Engineering
Windy Tunnel
Lift—it is about the wing's attack. Using a virtual wind tunnel, pupils investigate wing shape and angle of attack. Learners use worksheets to record their observations and to convert verbal relationships into mathematical equations in...
University of Exeter
Angles and Turns
Junior geometers investigate the concepts of angles and turns using straws to perform a hands on activity. This is helpful for kinesthetic learners who have a hard time with mathematics. The lesson plan includes the dialogue to be used...
Curated OER
Calculating the Cost of Living
Bring Consumer Mathematics and Economics to life with this lesson, where learners investigate personal finance and budgeting. They use the newspaper’s classified section to determine a future job and potential earnings and determine a...
Curated OER
Home sales records
Practice consumer mathematics through by investigating home mortgages. Budding economists find the interest rates for 30-year and 15-year loans and calculate the estimated monthly payments. They use their data to compare periods of time...
Bowland
Crash Test
Use mathematics and simulations to investigate car crashes. IScholars test hypotheses involving car crashes. They collect, analyze, and display data from computer simulations to support or refute their hypotheses.
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
CK-12 Foundation
Evaluation of Perfect Square Roots: Neighborhood Park
Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also takes...
PBS
Human Tree: Ratios
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
Radford University
Environmental Issues
Pupils investigate the air pollution situation in China by fitting a curve to historical data. They dig deeper into environmental issues that are of interest and provide a mathematical analysis of the issue. Class members develop a route...
Radford University
A Little Devil In Need of Help
Math modeling to help endangered species? Scholars first investigate linear and exponential equations and graphs that model fictitious animal populations. They consider how key features of the graphs relate to the situation. As a final...
Utah Education Network (UEN)
Fluency
Become fluent in the language of mathematics. Scholars learn to divide multi-digit whole numbers as well as see how to determine the greatest common factor and least common multiple. They also investigate how to apply the distributive...
Curated OER
The Fibonacci Sequence
Students investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
Curated OER
Old Glory
Learners utilize mathematical concepts such as: measurement, ratio and proportion and geometric probability to analyze the components of the U.S. Flag. They collect, organize and interpret data by constructing charts, tables and graphs...
Curated OER
A Special Relationship
Young scholars discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and...
Curated OER
Seeing Is Believing
Students investigate the concepts of probability. They use data to find the central tendency, median, and mode. Students design and play a game in order to practice the concepts. They also complete a table with data that is analyzed.
Curated OER
Talking About Your Name in Math Terms
Add imagination and creativity to your math lesson. Young mathematicians investigate ways to express their names in mathematical terms. For instance, they can count the number of letters, analyze the geometric shapes of the letters, or...
Curated OER
Interpreting Graphs and Analyzing Data
Students investigate graphs and analyze the data displayed in the graph. They read a graph reflecting the birthday data for the students to read and analyze. Students use the graph to determine the number of birthday cards they need to...
Curated OER
Problem Solving? Cereal
Young scholars use problem-solving approaches to investigate mathematical content. They formulate problems from situations within and outside mathematics content. They warm up with a survey done by the teacher. Everyone uses practice...