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Common Core: ELA
Common Core: Math
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 Students study and prove the properties of dilations.

 Student Outcomes Students prove the Pythagorean Theorem using similarity. Students use similarity and the Pythagorean Theorem to find the unknown side lengths of a right triangle. Students are...

 Student Outcomes Students rewrite the Pythagorean Theorem in terms of sine and cosine ratios, and use it in this form to solve problems. Students write tangent as an identity in terms of sine and...

 Student Outcomes Students understand that given similar solids A and B so that the ratio of their lengths is a:b, then the ratio of their volumes is a3:b3. Students understand that if a solid with...

 Student Outcomes Students multiply and divide expressions that contain radicals to simplify their answers. Students rationalize the denominator of a number expressed as a fraction.

 Session 1 & 2 Grade 6 Module 1 Study MidModule Assessment Presentation Grade 7 Module 1 Study MidModule Assessment Presentation Grade 8 Module 1 Study MidModule Assessment Presentation Grade 9...

 Students learn what it means for two figures to be similar in general, and then focus on triangles and what criteria predict that two triangles will be similar. Length relationships within and...

 Student Outcomes: Given two points in the coordinate plane and a rectangular or triangular region, students determine whether the line through those points meets the region, and if it does, they...

 Student Outcomes Students use inscribed and circumscribed polygons for a circle (or disk) of radius r and circumference C to showthat the area of a circle is 1/2Cr or as it is usually written, πr2.

 Student Outcomes Students learn to construct a square and begin to construct a ninepoint circle.

 Student Outcomes: Given a segment in the coordinate plane, students find the segments obtained by rotating the given segment by 90° counterclockwise and clockwise about one endpoint.

 Student Outcomes Students understand the precise language that describes the properties of volume. Students understand that the volume of any right cylinder is given by the formula area of base×...

 Student Outcomes: Students find midpoints of segments and points that divide segments into 3, 4, or more proportional, equal parts.

 Student Outcomes Students use the distributive property to simplify expressions that contain radicals.

 Students study the basic properties of twodimensional and threedimensional space, noting how ideas shift between the dimensions. They learn that general cylinders are the parent category for...

 Student Outcomes: Students find the perimeter of a triangle in the coordinate plane using the distance formula. Students state and apply the formula for area of a triangle with vertices (0,0),(x1, y1...

 Student Outcomes Students indirectly solve for measurements involving right triangles using scale factors, ratios between similar figures, and ratios within similar figures. Students use...

 Student Outcomes Students prove that the area of a triangle is onehalf times the product of two side lengths times the sine of the included angle and solve problems using this formula. Students find...

 "In this lesson, students explore the development of central ideas in Sir Walter Raleigh’s “The Nymph’s Reply to the Shepherd.” Questions focus on helping students understand the parallels between...

 Student Outcomes: Students are able to derive a distance formula and apply it.

 In this first lesson of the module, students read and analyze the salutation and first paragraph of Martin Luther King, Jr.’s “Letter From Birmingham Jail” in which King addresses the clergymen to...

 Student Outcomes Students find missing side lengths of an acute triangle given one side length and the measures of two angles. Students find the missing side length of an acute triangle given two...

 In January 2011, the NYS Board of Regents adopted the NYS P12 Common Core Learning Standards (CCLS), which include the Common Core State Standards and a small number of additional unique standards...

 Student Outcomes Students develop an understanding of how to determine a missing angle in a right triangle diagram and applythis to real world situations.