# All Lessons

## Use Context Clues to Determine the Meaning of Unknown Words

This reading vocabulary lesson focuses on using context clues to determine the meaning of unknown words. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the passage, noting the bold words. Then, they identify context clues that compare or contrast to the bold word, and identify any indicators of the type of context clue (such as or, like, also, but, however, etc.). Finally, they determine the meaning of the bold word. In addition to the lesson, there are four pages of Independent Practice and review modeled on current adaptive testing methods.

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## Identify Compound Sentences with Transitions

This writing conventions lesson focuses on identifying compound sentences with transitions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the sentence and identify independent clauses, if any. Then, they identify the transition word or phrase and determine if it is a compound sentence. Finally, if it is a compound sentence, they write how the clauses are related. In addition to the lesson, there are four pages of Independent Practice and review modeled on current adaptive testing methods.

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## Identify Compound Sentences

This writing conventions lesson focuses on identifying compound sentences. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the sentences and identify independent clauses, if any. Then, they label the subject, verb, and coordinating conjunction, if any. If it is a compound sentence, they write the relationship between the two clauses. In addition to the lesson, there are four pages of Independent Practice and review modeled on current adaptive testing methods.

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## Analyze Idioms

This reading vocabulary lesson focuses on analyzing idioms. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read each sentence and identify the idiom or words that are different from their literal meaning. Then, they analyze the idiom by writing its literal and its figurative meaning. In addition to the lesson, there are two pages of Independent Practice and review modeled on current adaptive testing methods.

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## Establish Coherence Through Parallel Structure

This writing conventions lesson focuses on establishing coherence through the parallel structure. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the sentence and identify parts of it that are not parallel, based on three given rules of parallel structure. Then, they rewrite the sentence using parallel structure and read it aloud. In addition to the lesson, there are eight pages of Independent Practice and review. These are modeled on current adaptive testing methods.

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## Analyze Similes

This reading vocabulary lesson focuses on analyzing similes. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read each sentence and identify two unlike things being compared. Then, they identify what qualities the two things being compared have in common. Finally, they interpret the simile in writing. In addition to the lesson, there are eight pages of Independent Practice and review modeled on current adaptive testing methods.

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## Use Apposition to Indicate the Relationship Between Ideas

This writing conventions lesson focuses on using apposition to indicate the relationship between ideas. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the noun phrase and the sentence to determine the noun to be identified by the noun phrase. Then, they write a sentence using the noun phrase as an appositive. Finally, they read the sentence, listening for the appositive. In addition to the lesson, there are eight more pages for Independent Practice and review modeled after current adaptive testing items.

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## Use Coordination to Indicate Relationships Between Ideas

This writing conventions lesson focuses on using coordination to indicate relationships between ideas. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the sentences and identify the correct relationships between a pair of sentences. Then, they determine the correct coordinating conjunction to use and combine the sentences properly, using coordination to indicate the relationship between ideas. In addition to the lesson, there are six pages of Independent Practice and review modeled on current adaptive testing methods.

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## Use Subordination to Indicate Relationship Between Ideas

This writing conventions lesson focuses on using subordination to indicate relationships between ideas. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students determine the relationship of two sentences and then the best conjunction to indicate that relationship. Then, they combine the clauses to form a complex sentence, varying between dependent first and independent clause first. Finally, they label the clauses. In addition to the lesson, there are eight pages of Independent Practice and review modeled on current adaptive testing methods.

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## Use Verbs in the Active and Passive Voice

This Language lesson focuses on having students correct the use of the passive voice. Students will identify the actors and recipients of the action in a sentnece and rewrite the sentence to use the active voice. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In addition to the lesson, there are four pages of facts and details related to topics for review and organizing.

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## Distinguish Between Rational & Irrational Numbers

This number system lesson teaches students how to distinguish between rational and irrational numbers. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will distinguish between various types of numbers, including irrational numbers, integers, and whole numbers.

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## Simplify Radical Expressions

HSN.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = (5^(1/3))^3 to hold, so (5^(1/3))^3 must equal 5.

HSN.RN.2HSN.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

This number sense lesson focuses on simplifying radical expressions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the radical expression and identify the radicand. Then, they find the prime factors of the radical expression and rewrite it as the product of prime factors of the radicand. Finally, they simplify the radical expression and interpret the solution. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.

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## Apply the Properties of Exponents

This expressions and equations lesson teaches students how to apply the properties of exponents. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will apply the properties of exponents to create equivalent expressions. There are flashcards for this lesson to review the concept that exponents must have the same base for multiplication and division to be used.

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## Simplify Expressions with Roots

(10) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions.

A1.10.A(A) Add and subtract polynomials of degree one and degree two

A1.10.B(B) Multiply polynomials of degree one and degree two

A1.10.C(C) Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

A1.10.D(D) Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

A1.10.E(E) Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

A1.10.F(F) Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.

A1.11(11) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms.

A1.11.A(A) Simplify numerical radical expressions involving square roots

A1.11.B(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

HSN.RN.1HSN.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = (5^(1/3))^3 to hold, so (5^(1/3))^3 must equal 5.

HSN.RN.2HSN.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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## Evaluate Square Roots of Perfect Squares

This expressions and equations lesson teaches students how to evaluate square roots of perfect squares. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will evaluate expressions with square roots of perfect squares. Students will evaluate a variety of different expressions.

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## Solve Equations with Squared Variables

This expressions and equations lesson teaches students how to solve equations with squared variables. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students find the values of squared variables in equations. Students will solve for a variety of equations, including several real-world word problems.

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## Derive the Equation of a Line

This expressions and equations lesson teaches students how to derive the equation of a line. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will derive the slope of a given line. This lesson focuses on the use of the y-intercept and finding the slope to create an equation that defines a particular line. This lesson includes problems with real-world word problems.

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## Determine the Number of Solutions of a Linear Equations

8.EE.7 Solve linear equations in one variable.

8.EE.7.A8.EE.7.A Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

This expressions and equations lesson teaches students how to determine the number of solutions of a linear equation. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will find the solution to a linear equation. Students will determine whether the linear equation has one solution, infinite solutions, or no solution.