EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
EngageNY
Distributions and Their Shapes
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
EngageNY
Analyzing Graphs—Water Usage During a Typical Day at School
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and...
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
EngageNY
Probability Rules (part 2)
Ensure your pupils are rule followers! Learners add the addition rule to the set of probability rules examined in the previous lesson. Problems require both the multiplication and addition rule.
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
EngageNY
Ruling Out Chance (part 2)
Help your classes find the significance in this instructional activity! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence.
EngageNY
Four Interesting Transformations of Functions (Part 2)
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...
EngageNY
Four Interesting Transformations of Functions (Part 4)
What do you get when you cross piecewise functions with transformations? An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This activity connects transformations to the vertex form of a quadratic equation.
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific...
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
Adding and Subtracting Polynomials
Need a unique approach to adding and subtracting polynomials? A helpful math lesson plan approaches the concept by relating polynomials to base 10. It encourages pupils to see each term as having a specific value, and...
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
West Contra Costa Unified School District
Motion Problems
Let's hope class participants don't get motion sickness. In the lesson, class members first solve motion problems using tables and graphs. They then use algebraic techniques to solve motion problems.
West Contra Costa Unified School District
Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson plan begins with looking at limits of simple linear and rational functions, and leads to the definition of...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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