Curated OER
The Algebra of Summation Notation
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Jordan School District
Picture Frames and Algebra
Middle schoolers create a method for finding the area of a fame for a picture and then transfer their shared methods into algebraic expressions. They develop the algebraic language to communicate and solve problems effectively and...
Curated OER
Deriving the Formula For the Area of a Circle
Students derive the formula for the area of a circle. They form a rectangle by partitioning a circle using construction paper and scissors.
Curated OER
Using Electronic Manipulatives in Multiplication
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
Curated OER
Area, Arithmetic and Algebra
Explore the concept of this perfect square trinomial and difference of squares instructional activity. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Curated OER
Regents Exam Questions: Quadratics
In this quadratics worksheet, students identify the roots of a quadratic equation. They use FOIL and the quadratic formula to solve quadratic equations. This seven-page worksheet contains 32 problems. Answers are...
Curated OER
Picture Frames and Algebra
Students evaluate the area of a picture frame and write algebraic representations. In this algebra lesson, students work in groups to find the area of different picture frames. Students then write algebraic expressions and present...
Curated OER
Discovering Math: Concepts in Algebra
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
Curated OER
Concepts, Patterns, Formulas, Substitution
In this algebra lesson, students define algebraic terms and rewrite them using math symbols. There are 10 problems drawing correlations to geometry as well as algebra.
Curated OER
Using Tables to Solve Linear Functions
Oh that intercept! Budding algebra masters solve linear equations from standard to intercept form. They identify the slope and y-intercept to help graph the lines, an then create coordinate pairs using a table of values. Great TI tips...
Curated OER
Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
EngageNY
Buying a Car
Future car owners use geometric sums to calculate payments for a car loan in the 31st installment of a 35-part module. These same concepts provide the basis for calculating annuity payments.
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
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
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
EngageNY
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...