Curated OER
Quadratic Formula
This worksheet is part of the TI-Nspire lesson on the quadratic formula. Pupils determine the solutions of a quadratic function by looking at a graph and the discriminant. They use the quadratic formula to solve quadratic functions on...
Curated OER
Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
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
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.
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra instructional activity. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might...
Mathematics Vision Project
Module 4: Equations and Inequalities
Can you justify that mathematically? Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...
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
Slope Formula
Students identify the slope of an equation. For this algebra lesson, students calculate the slope of a linear equations using the slope formula. They identify the slope algebraically and graphically.
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
EngageNY
Events and Venn Diagrams
Time for statistics and learning to overlap! Learners examine Venn Diagrams as a means to organize data. They then use the diagrams to calculate simple and compound probabilities.
Curated OER
Computing with Mathematical Formulas
Learners solve problems using formulas. In this algebra lesson plan, students evaluate numbers using substitution. They graph their answers using a TI and discuss the outcome.
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations,...