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Worksheet
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Matrices

For Students 11th
In this Algebra II activity, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page activity contains explanation of topic, worked examples, and five practice problems. Answers are...
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Lesson Plan
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Dividing

For Teachers 5th
Fifth graders explore the inverse proportional relationship and direct proportional relationship. They complete division chart showing the inverse relationship and direct relationship. Students are shown that division problems can be...
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Worksheet
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Reteach: Solving Decimal Equations

For Students 5th - 6th
In this decimal equations worksheet, students review the process to solving decimal equations, then use inverse operations to solve 4 problems, checking with substitutions.
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Lesson Plan
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Identity and Equality Properties: Pages 37-43

For Teachers 9th - 10th
In this math worksheet, students use a list of mathematical properties in order to justify their evaluations. Students name multiplicative inverses and properties illustrated in 13 numbers and statements.
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Worksheet
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Worksheet 7.4 Function Composition

For Students 10th - Higher Ed
In this function composition worksheet, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page worksheet contains twelve multi-step problems.
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Lesson Plan
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Factoring Polynomials having common factors

For Teachers 9th
Ninth graders demonstrate that factoring polynomials having common factors is the inverse process of multiplying a polynomial by a monomial. students find the greatest common factor.
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Lesson Plan
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Simon Dit! (Simon Says!) - Using the Imperative Tense With Pronominal Verbs

For Teachers 5th - 8th
Students practice using the imperative tense of pronominal verbs. In French, they give commands, advice and suggestions. Using "Simon Says" flashcards, students play a game by responding correctly to the commands. Throughout the game,...
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Worksheet
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Reteach: Solve Multiplication Equations

For Students 2nd - 3rd
In this multiplication worksheet, students use inverse operations to solve for n in a set of 4 equations. A reference web site is given for additional activities.
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Lesson Plan
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Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
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Lesson Plan
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Far Out Fact Families

For Teachers 2nd
Second graders explore related multiplication and division facts. They study the inverse relationship of multiplication and division and engage in a group discussion about families. They complete a web-based lesson which is imbedded in...
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Lesson Plan
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Joining Hands

For Teachers 2nd
Second graders explore the inverse relationship of addition and subtraction in a "hands-on" activity based on the fact families of ones, twos and threes.
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Lesson Plan
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Weather Watchers

For Teachers 4th - 6th
Students study basic meteorology concepts. They build a simple barometer to measure air pressure. They explore the concepts of relative humidity, air convection currents and temperature inversions and to discover their connection to...
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Lesson Plan
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Exploring Function Graphs

For Teachers 10th
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Worksheet
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Number Word Problems: Working Backwards

For Students 4th - 5th
In this math learning exercise, students learn to solve word problems by working backwards and turning the operations into their inverse partners. There are 25 questions.
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Lesson Plan
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Integer Algebraic Addition

For Teachers 7th - 10th
Students use algebra tiles to solve linear equations with integer solutions. In this algebra lesson plan, students use the additive inverse and the zero pair concept.
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Lesson Plan
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Dynagraphs

For Teachers 10th - 11th
Students collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
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Lesson Plan
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Comparison of Human and Chimpanzee Chromosomes

For Teachers 10th - 12th
Students actively engage in the careful analysis of chromosome banding patterns and identify examples of inversion in homologous chromosomes.
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Lesson Plan
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Topsy-Turvy Math With Rational Numbers

For Teachers 4th
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
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Lesson Plan
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Are You a Radical or Just a Square Root?

For Teachers 4th
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
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Lesson Plan
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Newton's Laws

For Teachers 6th - 8th
Middle schoolers give examples of each of Newton's three laws as they occur in everyday experiences. They visually represent and differentiate the difference between a direct proportion and an inverse proportion. Students explain how...
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Lesson Plan
Curated OER

Weather

For Teachers 4th - 5th
Students read a weather map. Using the local newspaper, Columbus Dispatch, small groups investigate that air has pressure and that temperature and pressure are inversely related in weather. They display their findings on a graph or...
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Lesson Plan
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Exponents III- Squares and Square Roots

For Teachers 7th - 8th
Young scholars explore the process of inverse operations to solve square root problems. After exploring the perfect squares and area, students examine methods to find square roots by observing the teacher, taking notes, and listing...
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Worksheet
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Complex Analysis: Function

For Students Higher Ed
For this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Worksheet
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Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition learning exercise, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page learning exercise contains approximately six problems.

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