EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson plan by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
EngageNY
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
EngageNY
Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
Mascil Project
Design and Build Your Own Vacuum Cleaner, Hair Dryer or Toy Car
No vacuum cleaner? No problem, just build your own. Scholars apply knowledge of currents to build a model of either a vacuum clear, a hair dryer, or a toy car. While the class completes the activity, instructors consider gender...
Illustrative Mathematics
Calculator Trouble
When is not solving the expression the correct answer? When you are checking the understanding of a math concept that is not number dependent. The real question being asked here is to look at the initial number, fraction, mixed number,...
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Curated OER
Science NetLinks: Adolescent Sleep
Wake up, sleepy head! High schoolers craft a creative presentation that represents how they feel when they wake up on a school morning. After the presentations, a reading of Academic Sleep Times and Academic Performance launches a...
Cherokee County Schools
Simple Machines Project
The choice is simple: create a PowerPoint presentation, write a book, or invent a compound machine. Whichever project your young scientists choose, they will be engaged in creatively demonstrating their knowledge of simple...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Curated OER
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
Curated OER
Adding Animals
Writing equations from images helps young mathematicians grasp addition, especially when they get to look at cute animals as they do it. There are six number sentences here, each illustrated with a set of animals corresponding to...
Illustrative Mathematics
Running a Mile
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
Curated OER
Comparing a Number and a Product
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem activity can give insight into the understanding of the...
Illustrative Mathematics
Giantburgers
What is a million between friends? This fast food chain claims to serves a certain percentage of Americans every day. The resource agrees, but depending on how you calculate it, you could be a million off. Let your fast food munchers be...
Illustrative Mathematics
Pick Two
Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...
EngageNY
Properties of Logarithms
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Open Text Book Store
Arithmetic for College Students: Worksheets
Loaded with concepts ranging from multiplying decimals to converting units to solving problems using the order of operations, a thorough practice packet is perfect for a fifth or sixth grade math classroom.
Science Matters
Energy from Water Wheels
Historians believe the first vertical water wheel was invented in Rome during the Augustan Age. The sixth lesson in the series of 10 has scholars experiment with designing their own water wheels. Through testing various pastas and...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...