Curated OER
Integers
In this integers instructional activity, 9th graders solve 16 different types of problems that include writing an integer to represent statements, arranging integers from least to greatest, and using integers to write mathematical...
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Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I instructional activity, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world...
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Quotients Involving Square Roots; Extra Practice 35
In this math worksheet, students simplify fractions involving square roots. They must rationalize the denominators in ten problems. The final eight problems require students to approximate their answers to three decimal places.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
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Final Exam Review: College Algebra
For this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing, substitution,...
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
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Law of Sines and Cosines
Students solve problems using sine and cosine. In this precalculus instructional activity, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Yummy Math
Parametric Equations and a Heart
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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Paper Bag Skits
Students discover math measurements by creating a skit with classmates. For this geometry lesson, students utilize objects in a paper bag and index cards to create a short skit focusing on debate over the size of the objects. Students...
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Exponential and Exponents Functions
Students solve problems using exponential properties. For this algebra lesson, students differentiate between exponents, exponential and log functions. They graph their functions using table and exponents.
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Is This a Rectangle?
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well...
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Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
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Worksheet 8, Exponents
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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Order of Operations
In this order of operations learning exercise, students simplify and evaluate 10 different types of problems by applying the order of operations in each. They simplify basic equations whether multiplication, division, addition, or...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
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Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Percent Notation
In this algebra learning exercise, students divide circles into equal portions as they explore percents and decimals. They convert between decimals and fractions using ratio and proportion. There are 8 questions.
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Fiddling with Fours
In this algebra worksheet, 11th graders are solving word problem, where they are given only symbols and asked to find the answers. They get some clues to help them arrive at the answer. There is an answer key.
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Measurement
Learners measure angles, perimeter, area and volume. In this geometry lesson, students define different ways to measure and solve for the perimeter, area and volume of geometric shapes. They analyze and process information to help them...
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Complex Fractions
In this algebra worksheet, students divide complex fractions using properties of division and reciprocals. They are to get rid of all negative exponents. There are 48 problems.
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Natural Logarithm Rules
In this algebra worksheet, learners solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.
Curated OER
Patterns Here, There, and Everywhere!
Upper graders access the Microsoft Word program and create patterns by utilizing certain keys on the keyboard. They create picket fences, smiley faces, and hearts. It seems that this lesson has as much to do with keyboarding skills as it...