Curated OER
Manipulating Multi-step Equations (Grade 8)
Ninth graders solve multi-step equations. For this Algebra I lesson, watch a video on solving equations with variables on both sides of the equal sign. Students visit an Internet site to solve simple equations through the use of a...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
Curated OER
Looking Through the Algebraic Lens
Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Curated OER
Telescope #2
Students investigate parabolas as the shape of a telescopic lens. In this Algebra I/Algebra II instructional activity, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
EngageNY
Distributions—Center, Shape, and Spread
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and standard deviation.
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
EngageNY
Calculating Probabilities of Events Using Two-Way Tables
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
Curated OER
Estimating Deer Population
Young scholars calculate the deer population using proportion. For this algebra lesson, students apply the concept of ratio and proportion to real life scenario.
Curated OER
Quadratic Equations and Binomial Square Theorem
Learners factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
EngageNY
The General Multiplication Rule
In the first installment of a 21-part module, scholars build on previous understandings of probability to develop the multiplication rule for independent and dependent events. They use the rule to solve contextual problems.
Shodor Education Foundation
Visual Patterns in Tessellations
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
Curated OER
How Long Can You Go?
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
Curated OER
Finding The Sum of an Infinite Series
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Curated OER
Scale Factor- Surface Area and Volume
Young scholars calculate the surface area and volume of shapes. In this geometry lesson plan, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and...