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Geometry B - Standards Attempt 1 Attempt 2 Midterm Dead Week Final Exam 1. Express square roots in equivalent radical form and their decimal approximations when appropriate. 2. Use trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown lengths in right triangles. 3. Determine if three given lengths form a triangle. If the given lengths form a triangle, classify it as acute, right, or obtuse. 4. Determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions. 5. Identify, classify, model, sketch, and label representations of three-dimensional objects from nets and from different perspectives. 6. Identify and apply formulas for surface area and volume of spheres, right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems. 7. Identify and apply formulas to solve for the missing dimensions of spheres and right solids, including rectangular prisms and pyramids, cones, and cylinders, both numerically and symbolically. 8. Apply a scale factor to determine similar two- and three- dimensional figures, are similar. Compare and compute their respective areas and volume of similar figures. 1. Express square roots in equivalent radical form and their decimal approximations when appropriate. # of Days Vocabulary Prime Numbers Factors Square Roots Radicals Simplest Radical Form Decimal Form Special Right Triangles 45-45-90 30-60-90 Learning Targets Students will be able to prime factor a number. Students will be able to simplify radicals. Students will be able to express radicals as decimals. Students will be able to find the missing sides of 45-45-90 triangle. Students will be able to find the missing sides of 30-60-90 triangle. Lessons/Homework/Projects Prime Factor Trees Worksheet Simplifying Radicals Worksheet Special Right Triangles Worksheet How High? The Right Stuff - Page 128, 129 2. Use trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown lengths in right triangles. # of Days Vocabulary Ratios Trigonometry Sine Cosine Tangent Adjacent Side Opposite Side Hypotenuse Right Triangles Legs Pythagorean Theorem Learning Targets Students will be able to find the missing sides of a right triangle using trignometry. Students will be able to find the missing sides of a right triangle using Pythagorean Theorem. Lessons/Homework/Projects Activity - Intro to Trig Ratios - Pg 133 Trigonometric - Mini Project - Worksheet Trigonometry Worksheets How High? Surveyor's Trig Trick - Page 130, 131 Pythagorean Theorem Worksheet Shipping Conundrum - Page 146, 147 3. Determine if three given lengths form a triangle. If the given lengths form a triangle, classify it as acute, right, or obtuse. # of Days Vocabulary Inequalities Triangle Inequality Acute Triangle Obtuse Triangle Right Triangles Learning Targets Students will be able to determine if three lengths form a triangle. Students will be able to dlassify a triangle as acute, right, or obtuse. Lessons/Homework/Projects Converse Pythagorean Theorem Worksheet 4. Determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions. # of Days Vocabulary Area Triangles - angles, sides, base, and height Parallelogram - angles, sides, diagonals, base, and height Rhombus - angles, sides, and diagonals Rectangles - angles, sides, diagonals, length, and width Squares - angles, sides, diagonals, and side length Trapezoid - angles, sides, base 1, base 2, and height Polygons - angles, side lengths, perimeter, and apothem Circles - radius, diameter, and circumference, Composite Shapes - combine 2 or more figures from above Shaded Regions - overlapping 2 or more figures from above Learning Targets Students will be able to determine angles, sides, base, height, and area of triangles. Students will be able to determine angles, sides, diagonals, base, height, and area of parallelograms. Students will be able to determine angles, sides, diagonals, and area of a rhombus. Students will be able to determine angles, sides, diagonals, length, width, and area of rectangles. Students will be able to determine angles, sides, diagonals, side length, and area of squares. Students will be able to determine angles, sides, base 1, base 2, height, and area of trapezoids. Students will be able to determine angles, side lengths, perimeter, apothem, and area of regular polygons. Students will be able to solve problems involving circles - radius, diameter, circumference and area of circles. (exact and approximate) Students will be able to solve composite shapes - combine 2 or more figures from above. Students will be able to solve shaded regions - overlapping 2 or more figures from above Lessons/Homework/Projects The Gum Drop - Intro to Area - Pg 148, 149 Triangle Worksheet Brother in the Box - Intro to Parallelogram Area - Pg 271 Parallelogram Worksheet Rhombus Worksheet Introduction to Squares - Pg 232 Rectangles and Squares Worksheet Trapezoid - Index Card Activity Trapezoid Worksheet Polygon Angles Activity - Pg 233, 236, 237 Polygon Activity - a, b, c, d, p, Area Polygon Worksheet Slice of Pi - Pg 151, 152 Around the World - Pg 268 Area of Circle Worksheet - With Shaded Regions Polygon House - Pg 156 - 158 5. Identify, classify, model, sketch, and label representations of three-dimensional objects from nets and from different perspectives. # of Days Vocabulary 2-Dimensional 3-Dimensional Nets Orthogonal Isometric Learning Targets Students will be able to draw 2-D nets from 3-D figures. Students will be able to draw 3-D figures from 2-dimensional nets. Students will be able to draw the orthogonal view of a three dimensional figure. Students will be able to draw the orthogonal view of an isometric drawing. Students will be able to draw isometric drawings from orthogonal views. Lessons/Homework/Projects Nets Activity Nets Worksheet Orthogonal Views - Online Activity Orthongonal Views Worksheet Isometric Drawings - Online Activity Isometric Drawings Worksheet 6. Identify and apply formulas for surface area and volume of spheres, right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems. # of Days Vocabulary Surface Area Volume Right Solids Rectangular Prisms Rectangular Pyramids Cones Cylinders Sphere Composition Learning Targets Students will be able to calculate surface area and volume of rectangular prisms. Students will be able to calculate surface area and volume of rectangular pyramids. Students will be able to calculate surface area and volume of rectangular cones. Students will be able to calculate surface area and volume of rectangular cylinders. Students will be able to calculate surface area and volume of spheres. Students will be able to calculate surface area and volume of rectangular compositions. Lessons/Homework/Projects SA and V of Prism Worksheet Swimming Pool - Pg 159 - 162 King Tut - Intro to Pyramids - Pg 163 - 164 SA and V of Pyramids Worksheet The Luxor - Pg 165 - 166 SA and V of Cones Worksheet SA and V of Cylinders Worksheet SA and V of Spheres Worksheet Shopkeeper's Jar - Pg 167 - 169 7. Identify and apply formulas to solve for the missing dimensions of spheres and right solids, including rectangular prisms and pyramids, cones, and cylinders, both numerically and symbolically. # of Days Vocabulary Surface Area Volume Right Solids Rectangular Prisms - Base Dimensions and Height Rectangular Pyramids - Base Dimensions, Height, and Slant Height Cones - radius or diameter of base, height, and slant height Cylinders - radius or diameter of base and height Sphere - radius or diameter Learning Targets Students will be able to solve for base dimensions or height of a prism. Students will be able to solve for base dimensions, height, or slant height of a pyramid. Students will be able to solve for radius or diameter of the base or the height or the slant height of a cone. Students will be able to solve for radius or diameter of the base or the height of a cylinder. Students will be able to solve for the radius or diameter of a sphere. Lessons/Homework/Projects 8. Apply a scale factor to determine similar two- and three- dimensional figures, are similar. Compare and compute their respective areas and volume of similar figures. # of Days Vocabulary Similar 2-dimensional figures. Similar 3-dimensional figures. Ratios Area Ratios Volume Ratios Scale Factor Learning Targets Students will be able to find new dimensions of a figure given the scale factor. Students will be able to find the new area of a figure given the scale factor. Students will be able to find the new volume of a figure given the scale factor. Lessons/Homework/Projects Can There Be Giants - Pg 172 Similarity Figures Worksheet Super Size It - Pg 170 - 171 1. Express square roots in equivalent radical form and their decimal approximations when appropriate. Score Exceeds - 10% Students will be able to apply special right triangle relationships to solve a real- life application. Meets - 90% Students will be able to prime factor a number, put a square root in simplest radical form, find the missing sides of a 45-45-90 and a 30-60-90 triangle with answers being in simplest radical form/decimals. Developing - 0% Students will be able to prime factor a number. Students will be able to simplify radicals. Students will be able to express radicals as decimals. Students will be able to find the missing sides of 45-45-90 triangle. Students will be able to find the missing sides of 30-60-90 triangle. 2. Use trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown lengths in right triangles. Score Exceeds - 10% Students will be able to apply trigonometric ratios and/or Pythagorean Theorem to a real life application. Meets - 90% Students will be able to find to label the sides of a right triangle as A, B, and C or opposite, adjacent, and hypotenuse and find missing sides of a right triangle using trigonometric ratios (sine, cosine, tangent) or Pythagorean Theorem. Developing - 0% Students will be able to find the missing sides of a right triangle using trignometry. Students will be able to find the missing sides of a right triangle using Pythagorean Theorem. 3. Determine if three given lengths form a triangle. If the given lengths form a triangle, classify it as acute, right, or obtuse. Score Exceeds - 10% Students will be able to explain demonstrate why the triangle inequality is true. Meets - 90% Students will be able to determine if three lengths form a triangle and classify the triangle as acute, right, or obtuse. Developing - 0% Students will be able to determine if three lengths form a triangle. Students will be able to dlassify a triangle as acute, right, or obtuse. 4. Determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions. Score Exceeds - 10% Students will be able to apply finding missing dimensions, anges, and area to a real-life application. Meets - 90% Students will be able to determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions. Developing - 0% Students will be able to determine angles, sides, base, height, and area of triangles. Students will be able to determine angles, sides, diagonals, base, height, and area of parallelograms. Students will be able to determine angles, sides, diagonals, and area of a rhombus. Students will be able to determine angles, sides, diagonals, length, width, and area of rectangles. Students will be able to determine angles, sides, diagonals, side length, and area of squares. Students will be able to determine angles, sides, base 1, base 2, height, and area of trapezoids. Students will be able to determine angles, side lengths, perimeter, apothem, and area of regular polygons. Students will be able to solve problems involving circles - radius, diameter, circumference and area of circles. (exact and approximate) Students will be able to solve composite shapes - combine 2 or more figures from above. Students will be able to solve shaded regions - overlapping 2 or more figures from above 5. Identify, classify, model, sketch, and label representations of three-dimensional objects from nets and from different perspectives. Score Exceeds - 10% Students will be able to analyze the difference between nets, isometric, and orthogonal views. Meets - 90% Students will be able to draw 2-D nets from 3-D figures, 3-D figures from 2-D nets, orthogonal view of a 3-D figure, orthogonal view of an isometric view, and isometric views from orthogonal views. Developing - 0% Students will be able to draw 2-D nets from 3-D figures. Students will be able to draw 3-D figures from 2-dimensional nets. Students will be able to draw the orthogonal view of a three dimensional figure. Students will be able to draw the orthogonal view of an isometric drawing. Students will be able to draw isometric drawings from orthogonal views. 6. Identify and apply formulas for surface area and volume of spheres, right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems. Score Exceeds - 10% Students will be to identify and apply formulas for surface area and volume to a real-life application. Meets - 90% Students will be able to identify and apply formulas for surface area and volume of spheres, right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems. Developing - 0% Students will be able to calculate surface area and volume of rectangular prisms. Students will be able to calculate surface area and volume of rectangular pyramids. Students will be able to calculate surface area and volume of rectangular cones. Students will be able to calculate surface area and volume of rectangular cylinders. Students will be able to calculate surface area and volume of spheres. Students will be able to calculate surface area and volume of rectangular compositions. 7. Identify and apply formulas to solve for the missing dimensions of spheres and right solids, including rectangular prisms and pyramids, cones, and cylinders, both numerically and symbolically. Score Exceeds - 10% Given a real-life application, students will be able find missing dimensions of a sphere or right solid. Meets - 90% Students will be able to identify and apply formulas to solve for the missing dimensions of spheres and right solids, including rectangular prisms and pyramids, cones, and cylinders, both numerically and symbolically. Developing - 0% Students will be able to solve for base dimensions or height of a prism. Students will be able to solve for base dimensions, height, or slant height of a pyramid. Students will be able to solve for radius or diameter of the base or the height or the slant height of a cone. Students will be able to solve for radius or diameter of the base or the height of a cylinder. Students will be able to solve for the radius or diameter of a sphere. 8. Apply a scale factor to determine similar two- and three- dimensional figures, are similar. Compare and compute their respective areas and volume of similar figures. Score Exceeds - 10% Given a real-life application students will be able to use a scale factor to calculate the surface area and volume of 3-dimensional figures. Meets - 90% Students will be able to apply a scale factor to the area of 2-dimensional figures and the surface area and volume of 3-dimensional figures. Developing - 0% Students will be able to find new dimensions of a figure given the scale factor. Students will be able to find the new area of a figure given the scale factor. Students will be able to find the new volume of a figure given the scale factor.

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posted: | 4/26/2013 |

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