Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Curated OER
Multiplying Radical Expressions
In this algebra worksheet, students multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.
Curated OER
Expressions Containing Several Radical Terms
In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.
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Worksheet Chapter 1 College Prep Algebra
In this algebra worksheet, students compare integers, translate words to a numerical expression, identify sets of numbers, identify properties, use order of operations, multiply fractions, and solve simple word problems. This 13 page...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, learners simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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...
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...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
West Contra Costa Unified School District
Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
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
Algebra I: Multiplying Polynomials and Factoring
Young scholars use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve...
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Six Evaluating Algebraic Expressions Practice for the Math Regents Exam
In this substitution worksheet, students evaluate six algebraic expressions. These six problems are practice for the math regents exam and the solutions are provided.
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Picture Frames and Algebra
Students evaluate the area of a picture frame and write algebraic representations. In this algebra lesson, students work in groups to find the area of different picture frames. Students then write algebraic expressions and present then...
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Dividing Expressions
In this algebra worksheet, learners divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
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Quick Quiz: Evaluate Variable Expressions
In this evaluating variable expressions worksheet, students complete an 8 question quiz, evaluating variable expressions. Answers are included on page 2.
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Evaluate Variable Expressions 2
In this variable expressions worksheet, students complete addition, subtraction, and division problems containing variables. Students complete 8 problems.
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Algebra
In this algebra worksheet, 6th graders solve for y in algebra expressions containing numbers with decimals. Students complete 54 problems.
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The Magic of Algebra: Original Lesson Plan
Students participate in a teacher led math "trick." The teacher "reads the mind of the students. The answer to the problem is always 4, and by following the directions, the teacher can guess that students are thinking of Denmark, and...
Curated OER
Combining Like Terms
In this combining like terms worksheet, students simplify algebraic expressions by combining like terms. Problems contain negative and positive numbers as well as variables. They use the distributive property to simplify terms. This...
Curated OER
Algebra Test
In this algebra worksheet, students solve problems that are rational and irrational. They rewrite fractions as decimals and show understanding of basic number properties. There are 25 questions.
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