Illustrative Mathematics
Complex number patterns
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Curated OER
Simplifying Radicals
In this algebra worksheet students find the root and simplify 20 radical expressions. Students use the product and quotient rules to simplify 27 radical expressions. They add or subtract radicals on 13 problems.
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
Adding and Subtracting Polynomials
For this algebra worksheet, students add and subtract 30 sets of polynomials. 12 problems involve addition, 17 are subtraction problems, and one involves both addition and subtraction of polynomials.
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www.tutor-usa.com worksheet
Reinforces the use of the distributive property for the pre-algebra or the beginning algebra pupil. Multiple choice and short answer questions test the use of the distributive property in expressions using solely numerical values or...
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Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Discovering Math: Computation
Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...
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Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
PB Works
Numbers Lesson 3 - Hershey Bar Fractions
Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before...
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Rational Equations 9-5
Algebra learners practice solving various rational equations by finding the LCD and multiplying both sides of the equation. There are nine problems on this worksheet geared towards algebra 1.
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Rational Exponents
In this Algebra worksheet, students simplify expressions involving rational exponents. The one page worksheet contains explanation, examples and nine practice problems.
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Properties of Real Numbers
In this Algebra II worksheet, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page worksheet provides explanation and examples in addition to ten practice problems. Solutions are...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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The Bank Account
Your algebra learners become bankers for a day as they explore compounding interest and the formula used to calculate the balance in a savings account. Questions guide the learners as they analyze the formula's parts and their connection...
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The Complex Numbers
For this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
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Worksheet Five - Limits
In this limit worksheet, pupils use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
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Solving Inequalities
Middle schoolers solve 10 different problems that include multiplication and division of various inequalities. They determine how to make each inequality true. Pupils multiply or divide both sides of an inequality by any positive number...
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Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I lesson plan, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson plan includes a real-world problem in which the...
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Solving Linear Equations
Study linear equations with this algebra instructional activity. Middle schoolers solve linear equations using the appropriate properties and create their own equations for each other to solve.
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Curated OER
Introductory Algebra Chapter 1 Review
In this math worksheet, learners solve the problems that involve linear equations. They substitute the values given for each variable.
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Order of Operations
Students solve problems using the order of operation. In this algebra lesson, students perform order of operation working from inside the parentheses and exponents to multiplication and division in the right order. They evaluate...
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