Illustrative Mathematics
Households
Use an inverse linear function to interpolate a point. Presented with the number of households over a period of year, pupils find a linear function that will be a model. Class members determine the inverse of the linear function and use...
Curated OER
The Exponent Rules
In this Algebra I worksheet, 9th graders use the computer program Understanding Exponents to examine the laws of exponents. The worksheet is divided into an on computer and off computer component. The worksheet is eleven pages long and...
Curated OER
Solving Quadratic Equations
In this quadratic equations learning exercise, 9th graders solve 10 different problems that include various quadratic equations. First, they factor out the equation and set it to zero. Then, students solve each factor and check their...
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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.
Curated OER
Dividing Integer Powers
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
Curated OER
Comparison
In this comparison worksheet, students solve and compare given expressions. They determine the value of terms containing exponents. This one-page worksheet contains 10 problems. Answers are provided.
Curated OER
Convolution
In this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...
Curated OER
Imaginary Unit
In this imaginary unit activity, 9th graders solve 10 different problems that include solving with imaginary units. First, they define an imaginary unit as a number whose square is negative. Then, students solve each expression for x....
Curated OER
Solve for the Unknown
In this solving for the unknown worksheet, 11th graders solve 10 different equations that include determining the unknown variable in each one. First, they set up the equations so that the insides are equal to each other. Then, students...
Curated OER
Integers
In this integers worksheet, 9th graders solve 16 different types of problems that include writing an integer to represent statements, arranging integers from least to greatest, and using integers to write mathematical expressions. They...
Curated OER
Rational Expressions
Learners simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Scientific Notation
In this algebra worksheet, students identify the correct method to write positive and negative exponents. They solve word problems and write in scientific notation. There are 21 questions with an answer key.
Curated OER
Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, learners solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.
Curated OER
Numerical Analysis
For this math worksheet, students practice converting binary numbers from one base to another. Then they read the related vocabulary definitions.
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Curated OER
Numerical Analysis: Machine Representation of Numbers
In this machine representation of a number worksheet, students explore definitions such as floating-point, round-off error, binary representation of a number, mantissa, and sign bit. They identify significant digits and determine how...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
Curated OER
Add/Subtract Radicals College Prep Algebra
For this radical worksheet, students add and subtract radicals containing positive and negative integers, variables, and exponents. They find the sum or difference for up to three terms in each equation. This worksheet contains 28 problems.
Curated OER
Estimating the Square- Root of Ten
In this algebra worksheet, learners estimate the square root. They rewrite the root as an exponential function and solve. They use the correct function notation. There are 10 questions.
Willow Tree
Order of Operations
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include absolute...
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Curated OER
Scientific Notation and Metric Prefixes
In this physics learning exercise, students complete 5 sets of unit conversion problems. They express exponential expressions to expanded form and vice versa.
Curated OER
9-2 Practice: Dividing by Monomials
In this division worksheet, students divide by monomials containing positive and negative coefficients, exponents, and one to two variables. Students simplify each of the 27 given monomials. An answer key is provided.