EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
EngageNY
The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
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
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
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,...
Alabama Learning Exchange
Add, Subtract, and Multiply Matrices
Introduce the concept of matrices with a pre-designed instructional activity. Learners watch video lessons to learn the ins and outs of adding, subtracting, and multiplying matrices. Using provided problems, they practice each operation...
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Curated OER
Simple Inequalities on a Number Line
Students solve inequalities problems. In this algebra lesson, students graph the solution of inequalities on a number line. They discuss boundaries and open or closed intervals.
Curated OER
Distributive Property
Students solve problems using distribution. In this algebra lesson plan, students factor equations using the distributive property. They graph their solution on a graph.
Texas Instruments
Greatest Common Divisor and Least Common Multiple
Students solve problems using the GCD and LCM. In this algebra lesson, students factor and simplify equations using the greatest common and least common factors and multiples. They factor integers in pairs.
Curated OER
The Focus of an Ellipse
In this algebra worksheet, students solve for the center of an ellipse by finding the focus. They use the focus formula when solve for conics. There are 13 problems with an answer key.
Curated OER
Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, high schoolers create a visual of what is happening with the equation.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Curated OER
Learning About A Graphing Calculator
Students investigate the use of a graphing calculator in solving problems. In this algebra lesson plan, students solve polynomials problems using a calculator.
Curated OER
Regents High School Examination, Mathematics B
In this high school examination, learners complete four sections and a total of 34 questions from a wide variety of topics. The first section contains 20 multiple choice questions from both geometry and algebra. The second section is a...
Curated OER
Don't Let Parabolas Throw You
Students identify relation, function, patterns and range. In this algebra lesson, students factor and graph quadratic equations. They use transformation to move the parabola around and make predictions.
Curated OER
Rational Expressions
Students simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Linear-Quadratic Inequalities
Students graph linear and quadratic functions. In this algebra instructional activity, students create graph with specific coordinate points. They use the Ti to visualise and differentiate between the two functions.
Curated OER
Two Variable Inequalities
For this algebra worksheet, students solve inequalities using addition, subtractions and multiplication. They graph the inequalities with shading. There are 2 questions.
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.