Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
National Center for Case Study Teaching in Science
Applying Newton’s Third Law of Motion in the Gravitron Ride
Here is a collection of readings to be discussed in the science classroom. This one is in the form of a dialog between two boys in an amusement park, talking about the forces involved in a Graviton ride. Questions are listed at the...
Balanced Assessment
Scale Charts
Develop scales using tables. Pupils complete charts to show equivalent scale factors before using the completed tables to determine the sizes of scale drawings. They finish the lesson and demonstrate their understanding by completing a...
Curated OER
Beanies
Fifth graders explore ratio problems. They study how to solve ratio problems using simple algebraic equations. Students use equations to represent practical situations and solve equations.
Curated OER
Linear Graphs and Patterns
Fifth graders find pairs of whole number co-ordinates and use them to draw graphs in problem contexts. They find and interpret the all meaningful pairs of whole number co-ordinates from graphs.
Curated OER
Slope Fields and Euler's Method
In this slope field worksheet, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page worksheet contains...
Curated OER
Complex Analysis: Transformations
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Curated OER
Linear Progression
Students use graphing calculators to graph lines and create tables of values. They perform an experiment using M&M's and slinkys, then create their tables based on their results.
Curated OER
Chapter 5 Solving Problems
High schoolers explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. High schoolers solve systems and factor equations. Students practice problems involving perfect square...
Curated OER
Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
Curated OER
The Product and Quotient Rules
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
University of Texas
A Library of Parent Functions
Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the...
University of California
Student Workbook: Algebra I
Need a helping hand in Algebra I? How about a giant, super-sized worksheet packet? Here is a resource that has worksheets for virtually every concept with some accompanying examples.
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Curated OER
Equations and Systems of Equations
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
Curated OER
Algebra II Review: Exponential Functions and Logarithms
In this Algebra II review: exponential functions and logarithms learning exercise, students solve 19 problems, including making graphs, simplifying and evaluating.
Curated OER
Quadratic Functions
In this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
Curated OER
Addition and Subtraction of Signed Numbers
Young scholars explore the concept of adding and subtracting using positive and negative numbers. For this addition and subtraction of signed numbers lesson, students use pennies to represent positive and negative numbers. Young scholars...
Curated OER
Weighing Time
Pupils devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the lesson. To solve linear equations proficiently is the skill of the lesson.
Curated OER
Choices
This unit is about making calculations in the real life situations of taxis, hire cars, and cell phones. They find and justify a word formula which represents a given practical situation. Solve simple linear equations such as 2? + 4 = 16.