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Pre-Test Results - Geometry

Pre-Test Results - Geometry. Taylor – Geometry Unit Eligible for Extension List. 2-D & 3-D Figures. 2-D & 3-D Figures. WARM-UP Draw two different triangles. Find someone who has a similar triangle to one of yours.

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Pre-Test Results - Geometry

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  1. Pre-Test Results - Geometry

  2. Taylor – Geometry Unit Eligible for Extension List

  3. 2-D & 3-D Figures

  4. 2-D & 3-D Figures WARM-UP • Draw two different triangles. • Find someone who has a similar triangle to one of yours. • Discuss what makes the two triangles similar. Use vocabulary to include angles and sides. • Find someone who has a different triangle than one of yours. • Discuss what makes the two triangles similar. Use vocabulary to include angles and sides. • Write how you know your triangles are similar or different. Use vocabulary to include angles and sides.

  5. 2-D & 3-D Figures REVIEW Classifying Triangles

  6. 2-D & 3-D Figures EXAMPLE 1 How can you classify this triangle? STRATEGY Examine the sides and the angles. SOLUTION The triangle can be classified as an isosceles triangle and as a right triangle.

  7. 2-D & 3-D Figures REVIEWTypes of Quadrilaterals

  8. 2-D & 3-D Figures EXAMPLE 2 Which of the following statements is always true? • Every parallelogram is a rectangle • Some trapezoids are parallelograms • Every rhombus is a square • Every square is a parallelogram STRATEGY Compare each statement with the definitions. SOLUTION Choice D is always true: Every square is a parallelogram.

  9. 2-D & 3-D Figures REVIEWTypes of 3-D Shapes

  10. 2-D & 3-D Figures EXAMPLE 3 Which statement is always true? • All pyramids have 5 faces • All pyramids have 4 vertices • Every triangular pyramid is a rectangular pyramid • Every square pyramid is a rectangular pyramid • STRATEGY Compare each statement pictures of pyramids. • SOLUTION Choice D is always true: Every square pyramid is a rectangular pyramid.

  11. 2-D & 3-D Figures LESSON PRACTICE • 6 Multiple Choice questions • 1 Constructed Response question (4 parts) • ANSWERS (Multiple Choice) • D • D • C • B • D • D

  12. 2-D & 3-D Figures EXIT TICKET

  13. Similar Figures

  14. Similar Figures WARM-UP Which two figures appear to be similar? Explain.

  15. Similar Figures EXAMPLE Quadrilateral PQRS is similar to quadrilateral TUVW. • What is the length of side VW? • STRATEGY Use corresponding side lengths to find the scale factor. • SOLUTION The length of side VW is 18 units.

  16. Similar Figures LESSON PRACTICE • 4 Multiple Choice questions • 1 Constructed Response question (4 parts) • ANSWERS (Multiple Choice) • C • C • A • B

  17. Similar Figures EXIT TICKET

  18. Circumference & Area

  19. Circumference & Area WARM-UP Parts of a Circle • Draw a circle. • Label the circumference. • Label the diameter. • Label the radius. • Write the value for pi (π) to the hundredths place. • Bonus: Write the formula for finding the circumference of a circle. • Bonus: Write the formula for finding the area of a circle.

  20. Circumference & Area EXAMPLE 1 A circular pond has a radius of 12 feet. What is the circumference of the pond to the nearest foot? STRATEGY Use the formula for circumference when you know the radius. SOLUTION The circumference of the pond to the nearest foot is 75 feet.

  21. Circumference & Area EXAMPLE 2 A circular mirror has a diameter of 18 inches. What is the area of the mirror? • STRATEGY Use the formula for the area of a circle. • SOLUTION The area of the mirror is approximately 254.34 square inches.

  22. Circumference & Area REVIEW Area formulas for polygons

  23. Circumference & Area EXAMPLE 3 What is the area of this trapezoid? • STRATEGY Use the formula for area of a trapezoid. • SOLUTION The area of the trapezoid is 756 square inches.

  24. Circumference & Area LESSON PRACTICE • 7 Multiple Choice questions • 1 Constructed Response question (2 parts) • ANSWERS (Multiple Choice) • B • C • C • C • A • B • C

  25. Circumference & Area EXIT TICKET

  26. Surface Area of Rectangular Prisms

  27. Surface Area of Rectangular Prisms WARM-UP What do these shapes all have in common? Explain using math vocabulary.

  28. Surface Area of Rectangular Prisms EXAMPLE 1 Find the surface area of this rectangular prism. STRATEGY Add the areas of the 6 faces to find the total surface area. SOLUTION The surface area of the rectangular prism is 280 square inches.

  29. Surface Area of Rectangular Prisms EXAMPLE 2 Find the surface area of this rectangular prism. • STRATEGY Use the formula for the surface area of a rectangular prism. • SOLUTION The surface area of the rectangular prism is 88 square centimeters.

  30. Surface Area of Rectangular Prisms LESSON PRACTICE • 6 Multiple Choice questions • 1 Constructed Response question (1 part) • ANSWERS (Multiple Choice) • A • C • D • B • D • B

  31. Surface Area of Rectangular Prisms EXIT TICKET

  32. The Coordinate Plane

  33. The Coordinate Plane WARM-UP Draw and label a coordinate plane from -5 to +5 on both the x-axis and y-axis.

  34. The Coordinate Plane EXAMPLE 1 Plot a point on the coordinate plane for the ordered pair (4, -3).

  35. The Coordinate Plane EXAMPLE 2 What are the coordinates for point P?

  36. The Coordinate Plane LESSON PRACTICE • 6 Multiple Choice questions • 1 Constructed Response question (3 parts) • ANSWERS (Multiple Choice) • A • C • D • C • C • D

  37. The Coordinate Plane EXIT TICKET

  38. Translations, Reflections, and Rotations

  39. Translations, Reflections, and Rotations WARM-UP Would you let the purple block drop straight down or rotate it? Explain.

  40. Translations, Reflections, and Rotations REVIEW Types of transformations ACTIVITY: Move It! ACTIVITY: Mirror, Mirror

  41. Translations, Reflections, and Rotations EXAMPLE 1 Reflect triangle ABC over the y-axis. • STRATEGY Reflect each vertex over the y-axis. • SOLUTION Triangle DEF is a reflection of triangle ABC over the y-axis.

  42. Translations, Reflections, and Rotations EXAMPLE 2 Which transformation will move triangle JKL to triangle PQR? • STRATEGY Examine how each vertex moved. • SOLUTION A translation of 8 units down will move triangle JKL to triangle PQR.

  43. Translations, Reflections, and Rotations EXAMPLE 3 Rotate triangle RST 180 degrees clockwise around point S. • STRATEGY Rotate each vertex around point S. • SOLUTION Triangle SVW is a rotation of triangle RST 180̊ clockwise around point S.

  44. Translations, Reflections, and Rotations LESSON PRACTICE • 4 Multiple Choice questions • 1 Constructed Response question (2 parts) • ANSWERS (Multiple Choice) • A • D • D • C

  45. Translations, Reflections, and Rotations EXIT TICKET

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