Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider giving...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Curated OER
Degrees Of A Circle Exercises
In this math worksheet, students examine the fractional parts in order to determine the degree equivalent within a circle. Then they do the same using drawn circles.
Curated OER
Triangle Exercises
In this math worksheet, students determine the name for each triangle according to its classification. Then they create a truss construction model.
Curated OER
Triangle Exercises
In this math worksheet, learners look for the solutions to the various problems involving triangles. They focus upon finding the angles and lengths of sides.
Curated OER
Angle Measurement Exercises
In this math worksheet, students find the measurements of the angles in degrees. Then they determine which ones are in Standard Position.
Curated OER
Simplifying Complex Fractions/Expressions
In this simplifying complex fractions and expressions worksheet, students solve 10 different problems that include simplifying fractions. First, they determine the least common denominator of all fractions with the complex fraction....
Curated OER
Solving Quadratic Equations with Complex Roots
In this quadratic equations worksheet, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students determine the...
Curated OER
Arithmetic and Geometric Sequences and Series
In this arithmetic and geometric sequences and series activity, 7th graders solve and complete 10 different sets of numbers. First, they determine the common difference in each set of numbers. Then, students subtract a pair of terms and...
Curated OER
Absolute Value
In this absolute value activity, students solve 10 different problems that include various absolute values. First, they determine the value of the number expression in each absolute value. Then, students simplify the expressions. In...
Curated OER
Functions
In this functions worksheet, learners solve 10 different problems that include various types of functions. First, they determine the value of the cotangent of 45 degrees. Then, students simplify the expression shown. In addition, they...
Curated OER
Angle Sum and Difference
In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
Curated OER
Completing the Square
In this completing the square worksheet, 8th graders solve 10 different problems that include completing a square. First, they complete the square in the first 8 problems and write their solutions. Then, students determine what values to...
Curated OER
Graphs of Circles
In this graphs of circles worksheet, 10th graders solve and graph 10 different problems related to graphing various types of circles. First, they write the equations of a circle with a given center and radius. Then, students determine...
Curated OER
Positive, Negative and Zero Exponents
In this exponents worksheet, 9th graders solve 10 different equations that involve various exponents. First, they simplify the positive, negative and zero exponents. Then, students evaluate the exponents by applying the division property.
Curated OER
Trigonometric Word Problems
In this trigonometric word problems worksheet, 10th graders solve 16 different problems that include various trigonometric situations. First, they determine at what angle a ladder makes with the ground. Then, students determine the...
Curated OER
Simplifying Rational-Fractional Expression
In this rational and fractional expressions worksheet, 9th graders solve 10 different problems that include simplifying various types of expressions. They simplify into simplest form each of the listed equations, including both rational...
Curated OER
Quiz: Direct Variation
In this direct variation worksheet, students solve ten questions about direct variation. Each problem is presented in story problem format. Students write the direct variation equation and solve for the required information.
Curated OER
Quiz: Binomial Probability
In this probability worksheet, students compute the probability of an event happening for ten problems. Three problems ask students to find the fraction representation of an event happening.
Curated OER
Arc Length and Radian Measure
In this arc length worksheet, students convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page worksheet.
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