Concord Consortium
Sharp-Ness of Bends
Define the sharpest in the group. Given a section of a trail map, pupils determine a method to measure the sharpness of each turn in the path. Individuals then determine what modifications to their formulas to make to find the sharpness...
EngageNY
The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
Flipped Math
Calculus AB/BC - Exponential Models with Differential Equations
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
EngageNY
Simple Interest
An interesting lesson helps young financial wizards determine the amount of money earned via interest. The resource introduces the concept of simple interest to show how money can grow. Pupils use their knowledge of percents to solve...
EngageNY
Surface Area
Build upon the knowledge of nets to find the surface area of right prisms. Pupils begin to find the area of right rectangular prisms using the net for the prism. They build upon that knowledge to find a general formula that works for all...
EngageNY
The Area of a Circle
Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...
EngageNY
The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the instructional activity, they use the...
EngageNY
The Distance Between Two Rational Numbers
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
Curated OER
Lab 5: Inverse Functions and Calculus
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
Creative Chemistry
Aliphatic Reaction Pathways
Complete a graphic organizer of aliphatic reaction pathways. Chemistry aces fill in the chemical formulas of the different hydrocarbon compounds as they inspect products of different reactions. Using a graphic organizer allows learners...
Pingry School
Heat of Reaction and Hess's Law
Melting and burning might seem like opposites, but both exist as common examples of exothermic reactions. Scholars work with three different exothermic chemical reactions to determine the enthalpy changes. They measure and mix chemicals,...
Curated OER
Color at Light Speed
Rainbow science anyone? learners put the color specturm, frequency, light waves, and wavelengths into a light speed context. They use algebraic formulas to determine the speed of each light wave length. A great way to connect math and...
Math Worksheets Land
The Area of Rectangles - Guided Lesson
Geometry novices will enjoy this approach to finding area, as they aren't required to include units or a formula. The main objective here is to segment a rectangle into columns and rows to create squares, which then are used to find the...
DK Publishing
Areas of Rectangles and Squares
Each of these rectangles and squares has the length and width given with units. Can scholars solve for the area? Designed for beginners to this skill, all of these are whole-number single-digit measurements. There is a detailed example...
Curated OER
Speed Problems
Challenge your fourth graders with these tricky word problems about speed. They use the formula for time, distance, and speed to solve six scenarios. There are three examples, each showing an instance when a different variable must be...
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