Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
NOAA
Importance of Deep-Sea Ecosystems – How Diverse is That?
When judging diversity of an ecosystem, both species evenness and species richness must contribute. After a discussion of diversity and a guided example using the Shannon-Weaver function, scholars use the same function on two other...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Curated OER
Laws of Exponents, Radicals
In 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...
Curated OER
Lesson Plan for Fontana Mines
Students estimate and compute with rational numbers. They compare, order and convert among fractions, decimals and percents. Students analyze problems to determine if there is sufficient or extraneous data to solve.
Curated OER
Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials
In this synthetic substitution worksheet, students evaluate three different function at specified points. Students also determine if given factors are factors of four specific polynomials. Additionally students use the Factor...
Curated OER
Challenge Sheet 6: Fractions Decomposition
In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
Curated OER
Limit Estimation
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
Curated OER
Four Slant Asymptotes Problems
In this slant asymptotes learning exercise, students calculate the slant asymptotes in four rational functions. The solutions are not provided.
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...
Curated OER
Worksheet 38-Spring 1996
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Curated OER
Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Curated OER
Worksheet 11 - Points of Discontinuity
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
Curated OER
Differentiation Using the Quotient Rule
In this calculus worksheet, learners use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Curated OER
Natural Figures
First graders look for geometrical shapes in nature to help them appreciate the diversity of the natural environment.
Curated OER
Function Tables
Students practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.
Curated OER
The football and Braking Distance; Model Data with Quadratic Functions
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Curriculum Corner
8th Grade Math Common Core Checklist
Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was...
Curriculum Corner
8th Grade Math "I Can" Statement Posters
Clarify the Common Core standards for your eighth grade mathematicians with this series of classroom displays. By rewriting each standard as an achievable "I can" statement, these posters give students clear goals to work toward...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
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