EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...
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
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Curated OER
Pay Check Advance Loan
Students research loans. In this financial lesson, students explore the benefits and drawbacks of applying for a pay-day advance loan. Students compare different programs and calculate interest owed. Multiple resources are provided.
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
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
Discovering Math Concepts in Advanced Algebra
Students explore the concept of Chinese contributions in mathematics. In this Chinese contributions in mathematics activity, students research Chinese achievements in mathematics. Students solve 3x3 systems of equations using the...
Shodor Education Foundation
Pythagorean Theorem
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
Curated OER
Factoring Trinomials
Learners factor trinomials and quadratics. In this algebra lesson plan, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
Curated OER
Rate of Change
Eleventh graders solve problems dealing with rate of change. In this algebra instructional activity, 11th graders graph their rate of change problems and analyze it comparing their data with each other. They solve problems dealing with...
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
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
EngageNY
Calculating Probabilities of Events Using Two-Way Tables
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.
Curated OER
Number Sense
Students convert between decimals and fractions. In this algebra lesson, students show their knowledge of numbers by putting them on a number line. They apply the concept of algebra to solving word problems. Students will use a Ti...
Curated OER
Slopes and Slope Intercepts
Learners identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
Curated OER
Slopes, Slope-Intercept Form, Standard Form
Students identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
Curated OER
Factoring Trinomials
Students factor trinomials using specific factoring methods. In this algebra lesson, students factor equations using the difference of squares and foiling. They play a game to enhance their understanding of factoring.
Curated OER
Slope, slope-Intercept Form and Standard Form
Students investigate and solve linear equations using slopes. In this algebra activity, students graph lines using the slope and y intercept. They also find the slope by rewriting their equation in to slope-intercept form from standard...
Curated OER
Factoring Quadratics
Students solve quadratics using factoring. In this algebra lesson, students rewrite word problems and use properties of quadratic equations to solve.
Curated OER
Trigonometric Identities
Students calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
Curated OER
Changing the Different Currency of Different Countries
Students change the money used in different countries into our currency. In this algebra lesson plan, students rewrite word problems using variables and inequalities. They label each unknown with a letter and identify the steps needed to...