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EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 4)
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
Howard County Schools
Discounting Tickets
A boss who can't do math? Oh, no! Young entrepreneurs use linear and exponential models to determine which discount will yield the most profit on ticket sales.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
EngageNY
Algebra II Module 2: Mid-Module Assessment
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
EngageNY
Mid-Module Assessment Task - Algebra 1 (Module 3)
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...
Curated OER
Bouncing Ball
Students collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a quadratic...
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
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Mt. San Antonio Collage
Quiz 2: Polynomials
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given...
Mathematics Assessment Project
College and Career Readiness Mathematics Test A1
A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
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