Curated OER
Quadratic Formula
In this Algebra II worksheet, 11th graders use the discriminant to determine the nature of the roots of a quadratic equation, determine the best method to use when solving a quadratic, and practice using the quadratic formula to...
Curated OER
Inverse Relations
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
Curated OER
Laws of Exponents, Radicals
For this Algebra II worksheet, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions. The ten page worksheet contains fifty-seven problems. ...
Curated OER
The Reciprocal Function Family
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes. The two page worksheet contains explanation, examples, and two practice...
Curated OER
Roots and Radical Expressions
For this Algebra II worksheet, 11th graders simplify radical expressions. The two page worksheet contains explanation, worked example, and three practice problems. Answers are not included.
Curated OER
Lesson #2 Absolute Value and Symmetry
Students investigate absolute value functions. In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. Students explore...
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Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. For this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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The Price Is Right
Students create a list of products with estimated prices. In this algebra instructional activity, students learn to write equations using variables. They match their created list with that of actual products and compare their prices,
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La Toteca- A Tropical Paradise
Students collect data on the time of the ferry. For this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
Curated OER
Problem Solving Using Pattern Blocks
Students use pattern blocks to create a figure that is described to them and establish a pattern based on the description of the geometric figure. In this pattern blocks lesson plan, students fill out shape and fraction worksheets.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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
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
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 comfortable...
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
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 instructional activity, using logarithm tables to develop properties....
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
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
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
Logarithmic Functions and Their Graphs
In this algebra worksheet, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.