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...
EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
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...
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
The Definition of a Parabola
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically.
EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
Curated OER
Solving Quadratic Equations
In this Algebra II worksheet, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula. Application problems are included. The two page worksheet contains seventy-two...
Curated OER
Distance Formula
Young scholars calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Using the Quadratic Formula
In this algebra worksheet, students solve quadratic equations using the quadratic formula. The are given equations with both a=values and a=1 value. There are 16 questions with an answer key.
Curated OER
The Midpoint Formula
In this midpoint formula worksheet, students find the midpoint of line segments. Students identify the midpoint from information given on a graph and from ordered pairs representing the endpoints. They solve 14 problems on two pages. ...
Curated OER
The Midpoint Formula
In this midpoint formula instructional activity, students determine the midpoint of a line by using given ordered pairs. Students use one endpoint of a line and the midpoint to find the remaining endpoint of a line. This four-page...
Curated OER
Lesson 10-6: Using the Quadratic Formula
In this quadratic formula worksheet, students solve 5 quadratic problems. Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
Curated OER
Worksheet Chapter 7 & 8 College Prep Algebra
In this algebra worksheet, high schoolers find the value of given expressions, simplify division equations containing two variables, find the square root, and solve radicals. This worksheet contains 100 problems and contains an answer key.
Illustrative Mathematics
Oakland Coliseum
Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...
EngageNY
Solutions to Polynomial Equations
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Curated OER
Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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
Formulas, Applications, and Variation
In this algebra worksheet, learners solve 7 given formulas for a specified variable. Each formula is written as an equation, and students isolate one of the variables as the solution to the problem.
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
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.
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.
Curated OER
Slope Formula
Students identify the slope of an equation. In this algebra lesson, students calculate the slope of a linear equations using the slope formula. They identify the slope algebraically and graphically.