Curated OER
Solving Linear Equations
In this linear equations activity, students solve six linear equations and check their work. Then they translate the next 4 problems into an equation and solve those too. Students first combine like terms when necessary and then solve...
West Contra Costa Unified School District
Key Features of Graphs
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using graphs.
Macquarie University
Factorizing Algebraic Expressions
In this comprehensive worksheet, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This worksheet also includes the use of factoring to simplify rational expressions. Overall, it...
Curated OER
Factoring Polynomials
For this Algebra II/college level worksheet, learners use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel lines cut...
BW Walch
Creating Linear Inequalities in One Variable
Just when a young mathematician starts to feel comfortable turning word problems into linear equations, shake things up and throw inequalities in the mix. This excellent, instructive presentation takes the steps for solving an equality...
EngageNY
Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
Curated OER
Solving Systems Algebraically
In this algebra lesson, students solve systems of equations. They solve using substitution and elimination. There are 10 questions.
Curated OER
Basic Matrix Algebra
Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
Curated OER
Finding Sums and Terms for Geometric and Algebraic Sequences
For this sequences worksheet, students solve for the sum of ten sequences. Students solve for a specified term of the geometric or arithmetic sequence in fourteen other problems.
Curated OER
Chapter 7 - Objective 2.1 Multiplying Terms
In this multiplying terms worksheet, students multiply terms containing variables, coefficients, and exponents. This one-page worksheet contains ten problems.
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
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...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions....
EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Curated OER
Recursively Defined Sequesnces
In this algebra worksheet, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Curated OER
Factor by Grouping
In this factor by grouping activity, students factor given algebraic expressions. This four-page activity contains 20 multi-step problems. Answers are provided on the last page.
Curated OER
Tom Swifties
For this algebra word problem, students are given the first and last two letters of each word. They must figure out it the word is a verb or adverb and decipher what the meaning of each sentence is. There are 15 questions with an answer...
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