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Oswego City School District

Regents Exam Prep Center: Rational (Fractional) Expressions

For Students 9th - 10th Standards
A wealth of resources to help you in planning classroom instruction on rational expressions: lesson plans offer guidelines for and examples of simplifying, adding and subtracting, multiplying and dividing rational expressions; practice...
Lesson Plan
Scholastic

Scholastic: Exploring Expressions and Equations

For Teachers 6th - 8th
Teaching unit allows students to develop key skills in expressions and equations while learning the value of these concepts through the lens of adventure sports.
Unit Plan
Khan Academy

Khan Academy: Evaluating Expressions With Variables Word Problems

For Students 5th - 7th Standards
Practice plugging in values to evaluate real-world algebraic expressions. These are introductory problems, so the expressions aren't too complicated. Students receive immediate feedback and have the opportunity to try questions...
eBook
Math Planet

Math Planet: Algebra 2: Solve Equations and Simplify Expressions

For Students 9th - 10th Standards
Learn how to solve equations and simplify expressions through the use of examples and a video lesson. [1:20]
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Paul Dawkins

Paul's Online Notes: Rational Expressions: Practice Problems

For Students 9th - 10th
Practice exercise reviews how to reduce a rational expression to lowest terms and how to add, subtract, multiply and divide rational expressions.
Lesson Plan
PBS

Pbs Learning Media: Everyday Algebra: Targeted Math Instruction

For Teachers 9th - 10th Standards
This Algebra lesson focuses on writing algebraic expressions to represent real-world problems, using the properties of numbers to simplify expressions, and evaluating equations by isolating the variable.
Unit Plan
Khan Academy

Khan Academy: Praxis Core Math: Algebraic Properties Lesson

For Students 9th - 10th
Goes over the properties that apply to algebraic expressions and equations. Includes examples and practice questions.
Unit Plan
PBS

Pbs: Equivalent Expressions Using Exponents

For Students 6th - 8th
Apply your critical thinking skills to learn about multiplication and division of exponents. This interactive exercise focuses on positive and negative exponents and combining exponents in an effort to get you to recognize patterns and...
Handout
Wolfram Research

Wolfram Math World: Probability and Statistics

For Students 9th - 10th Standards
This is a resource for many topics in probability and statistics. Click on the topic of your choice for an explanation. The sites you will be linked to are quite extensive. A degree of higher-level math is necessary for understanding...
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Khan Academy

Khan Academy: Divide Polynomials With Remainders

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
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Khan Academy

Khan Academy: Divide Polynomials by Monomials (With Remainders)

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Egyptian Fractions Ii

For Teachers 9th - 10th Standards
In this task, students will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a variable in...
Activity
Other

Math Mistakes: Common Algebra Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Seeing Dots

For Teachers 9th - 10th Standards
The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context, a series of squares filled with dot arrangements. Learners are asked to notice a pattern and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Sum of Even and Odd

For Teachers 9th - 10th Standards
In this task, students use the structure of an expression to find ways to rewrite it. They are asked to use the defining property of even and odd functions to manipulate expressions involving function notation and to see the structure in...
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Illustrative Mathematics

Illustrative Mathematics: A Sse Delivery Trucks: Assessment Variation

For Teachers 9th - 10th Standards
This is an assessment task that has students look for structure in algebraic expressions related to the context of trucks delivering concrete blocks and asks them to relate that structure to the context. Aligns with A-SSE.A.1 and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse the Physics Professor

For Teachers 9th - 10th Standards
In this task, students are asked to study the structure of an algebraic expression, draw conclusions, and explain their thinking. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Mixing Fertilizer

For Teachers 9th - 10th Standards
A landscaping company prepares two mixtures of fertilizer. In this task, students investigate what happens to the value of an expression when a quantity is changed. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Delivery Trucks

For Teachers 9th - 10th Standards
This task asks students to analyze four expressions to determine what each represents in terms of the problem's context, which is about two trucks delivering different amounts of sand in different numbers of trips. Aligns with A-SSE.A.1...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Mixing Candies

For Teachers 9th - 10th Standards
This task about a box of chocolates has students use the given equations to answer questions about weight and price, as well as interpret the expressions in the equations. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphing Rational Functions

For Teachers 9th - 10th Standards
For this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns

For Teachers 9th - 10th
This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...
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Paul Dawkins

Paul's Online Notes: Radicals: Practice Page

For Students 9th - 10th
Practice exercise reviews radicals including writing the expression in exponential form, evaluating simplifying and multiplying them, and rationalizing the denominator.
Unit Plan
PBS

Pbs: Manipulating Graphs

For Students 6th - 8th
Watch how a graph is altered when key elements of the equation change. This lesson focuses on how to manipulate the equation of a line in slope intercept form to match the graphs provided deepening the understanding of both the slope and...

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