Limited Time Offer: Get 2 Months of ABCmouse.com for only $5!

Math Unit 12

Study Guide

Unit 12: Geometry

 

 

Chapter 1- Examples of test questions:

  • Students may use an index card on the test for checking right angles – however, no writing should be on the card.
  • Understanding angles is an important part of Geometry.
    • Right Angle (90 degrees – like the corner of a piece of paper)
    • Acute Angle (smaller than a right angle)
    • Obtuse Angle (wider than a right angle)
    • Organize angles from smallest to largest or largest to smallest.
    • Two lines that are not connected are not an angle.
    • Polygons are closed figures with straight sides.  Know the number of angles in polygons.
      • Triangle has three angles
      • Quadrilateral has four angles (with or without parallel sides)
        • Trapezoid has four angles (one pair of parallel sides)
        • Parallelogram has four angles (two pairs of parallel sides)
          • Rectangle has four (right) angles
          • Rhombus has four angles (four equal sides)
          • Square has four angles (four right angles and four equal sides)
      • Pentagon has five angles
      • Hexagon has six angles
      • Octagon has eight angles
    • Which polygon has eight lines and eight angles? (octagon)
    • Pick a specific polygon from a row of shapes.
      • Various shapes drawn.  Which is the octagon?
      • Compare shapes.  The hexagon has ___ more sides/angles than the triangle.
    • Draw an angle larger or smaller than the one drawn.

Chapter 2- Examples of test questions:

  • Draw a right angle using the corner of a piece of paper.
  • Choose right angles from drawn angles.
  • Choose triangles that have right angle(s).
  • Choose angles that are greater/smaller than a right angle.
  • Array of dots are given.  Create an angle within the array.  There will be instructions on what type of angle to include (obtuse, right, acute).
  • Know how many angles are in various shapes.  For example, how many right angles are there in a rectangle?
  • Name a shape with a specific description.  For example, name a shape that has five angles.

Chapter 3- Examples of test questions:

  • Pick parallelograms from various shapes.  Pick shapes that are not parallelograms from various shapes.
  • Pick specific shapes.  For example, shapes are drawn and choose quadrilateral.
  • Compare shapes.
    • Is a rectangle a rhombus?
    • Is a hexagon a parallelogram?
    • Which quadrilateral has unequal sides?  Which quadrilateral doesn’t have right angles?  Which quadrilateral has one right angle?
  • Triangles:
    • An obtuse triangle has one angle greater than 90 degrees.
    • A right triangle has an angle at 90 degrees.
    • An acute triangle has three angles smaller than 90 degrees.
    • A scalene triangle has all sides different in length.
    • An isosceles triangle has two equal sides.  Since an equilateral has three equal sides it is also “isosceles” since it has at least two equal sides!
    • An equilateral triangle has three equal sides.
  • Questions regarding triangles.  For example, what do you call a triangle that all sides have different lengths?
  • True or false statements comparing information on triangles.
    • Can an isosceles triangle have a right angle?
    • Can an equilateral triangle be scalene?
  • Various triangles drawn.
    • Which triangles are scalene, isosceles, or equilateral?
    • Which triangles are obtuse, right, or acute?

Chapter 4- Examples of test questions:

  • A polygon is a closed plane figure, with straight sides.
    • Rectangles, squares, and triangles
  • A regular polygon is a polygon in which the sides are all the same length and are symmetrically placed about a common center.  It is both equiangular and equilateral.
    • Square
  • A polyhedron is a three-dimensional solid consisting of a collection of polygons, joined at their edges.
    • A general prism possesses two congruent polygonal faces and with all remaining faces parallelograms.
      • A right prism has the top and bottom polygons lying on top of each other so that the vertical polygons connecting their sides are not only parallelograms, but also rectangles.
    • A pyramid is a polyhedron where one face is a polygon and all the other faces are triangles meeting at a common polygon vertex.
      • A right pyramid has the line joining the centroid of the base and the apex is perpendicular to the base.
      • A regular pyramid is a right pyramid whose base is a regular polygon.
    • All prisms and pyramids in this unit will be right prisms or pyramids.
    • A cylinder is a solid bounded by two congruent circular bases, one directly above the other.
  • The flat surface of a solid is its face.
    • How many faces does a shoebox have? (six)
    • How many faces does a sphere have? (none)
    • How many faces does a cylinder have? (two)
    • How many faces does a triangular pyramid have? (four)
    • How many faces does a rectangular pyramid have? (five)
    • How many faces does a cone have? (one)
  • An edge is where two faces meet.
    • How many edges does a shoebox have? (twelve)
    • How many edges does a sphere have? (none)
    • How many edges does a cylinder have? (two)
    • How many edges does a triangular pyramid have? (six)
    • How many edges does a rectangular pyramid have? (eight)
    • How many edges does a cone have? (none)
  • A vertex is the point where two or more edges meet.
    • How many vertices does a shoebox have? (eight)
    • How many vertices does a sphere have? (none)
    • How many vertices does a cylinder have? (none)
    • How many vertices does a triangular pyramid have? (four)
    • How many vertices does a rectangular pyramid have? (five)
    • How many vertices does a cone have? (one)
  • Solids will be drawn.
    • Name the solid drawn.
    • Find a specific solid.  For example, mark the rectangular pyramid.
    • Describe the solid.
      • How many faces does a cone have?
      • How many edges does a triangular pyramid have?
      • How many vertices does a sphere have?
  • Various shapes will be drawn together.  List the shapes that make up the figure.
  • Fill in a table asking for the number of faces, edges, and vertices of various solids.

 

Unit 12 Cumulative Test:

  • Review all of Units 1 - 12
Get 2 Months for $5!