EDU 330 Test #4
Following steps to set up a successful simulation involve three of the following. Which one would not be useful?
Select an expensive method to manipulate the real situation
Which of the following statements is not true about simulations?
Simulations are important in middle school because they provide an engaging way in which to explore probability and connect to the abstract and difficult concepts related to compound e
What activity described below would guide students understanding of halves, thirds, fourths, and eighths as decimalfractions?
Students shade in a 10 x 10 grid to illustrate a familiar fraction
The following statements are true about early experiences in probability except:
Students should begin in middle school when they are developmentally ready.
Which of the following statements is true?
Teach experiments and theoretical probability together, focusing on the number of trials needed for experiments to reflect the theoretical probability.
When students explore how shapes fit together to form larger shapes, it is called:
composing shapes.
When a figure can be reflected over a line and rotated about a point this combination of transformations is called:
composition.
A good teaching option for developing a full understanding of computation with decimals is to focus on:
concrete models, drawings, place value knowledge, and estimation.
The following activities support students learning about two-dimensional shapes in different orientations except:
constructing figures with centimeter cubes.
The role of the decimal point in a number is to:
designate the units position.
The following are "place learning" words learned as a position description in kindergarten except:
direction.
Measurement _______________________ is the process of using mental and visual information to measure or make comparisons without the use of measuring instruments.
estimation
The most important factor in moving students up the van Hiele levels is:
geometric experiences that teachers provide to the students.
The following are suggested strategy for estimating except:
guessing.
Spatial sense includes all the following except:
identifying hierarchy of geometric properties.
A good task to use with students to assess their understanding of the use of a standard ruler is:
measuring with a "broken ruler."
All of the materials below can be used to represent an area model of decimal fractions except:
meter stick
Students should explore the area of a triangle after they have a conceptual understanding of the area of a:
parallelogram
A collection of uniform objects with the same mass can serve as nonstandard weight units except:
plastic toys.
Probability is about how likely an event is. A good place to begin is with
possible and not possible
Exploring properties of quadrilaterals is a rich investigation for students. The following are important concepts that emerge from these investigations except:
prisms are special cylinders.
The following are money ideas and skills typically required in primary grades except:
reading and writing number and word money amounts.
When a shape can be folded on a line—so that the two halves match—that fold line is also a line of:
reflection
When you are measuring an object using a tool and choosing the attribute to be measured, then you must:
select a tool with the same attribute to measure with.
The four major content goals in geometry for all grade levels are:
shapes and properties, transformation, location, and visualization.
One of the basic ideas of length measurement is that when the unit is longer, the measure is:
smaller
Rotational symmetry is described as:
smallest angle required to have shape match its footprint.
The value of a collection of coins is best learned by having students:
sort the coins starting with the highest value and skip counting
An area model that demonstrates how figures can have the same area composed of different shapes is:
tangrams.
Area representations have all of the following features except:
they are readily adaptable to situations with three events
Coordinate grids are often used in geometry to explore:
transformations.
Angles are measured by:
using a smaller angle to fill or cover the spread of the rays.
Base-ten models, the rational number wheel with 100 markings around the edge, and a 10-by-10 grid are all models for linking which three concepts together?
Fractions, decimals, and percents
According to your textbook, which of the following trios of real-world situations represent common uses for estimating percentages?
Tips, taxes, and discounts
Explain how the area formula of a circle is related too the area of a bumpy parrallelogram.
Height= radius Base= half at top, half at bottom Area= 3.14 r^2 (base x height) -Measurements are the same cut inmate smaller pieces -they still have a height equal to the radius -half at top, half at bottom
In the real-world decimal fractions are rarely those with exact equivalents to common fractions. Students need to wrestle with the magnitude of decimal fractions. Identify the activity below that addresses magnitude.
Identify what 7.396 is close to 7, 7 1/2, or 8
How can one obtain an accurate measure of the volume of a rectangular prism when given a set of the same-sized cubes?
Layer the cubes on the bottom of the box to fit the dimensions and then see how many layers are needed.
Which of the following is true about the van Hiele levels?
They are a progression of ways in which students understand geometric ideas.
Students need to be acquainted with various visual models to help them think flexibly of quantities in terms of tenths and hundredths. Which example below would help students understand the decimal fraction 65/100 in terms of placevalue?
This decimal fraction could be thought of as 6 tenths and 5 hundredths
To answer the question "What is the chance of having triplets being all girls?" the best random device for a simulation would be:
Two color spinner
One of the main goals of the visualization strand is to be able to identify and draw which of the following?
Two-dimensional images of three-dimensional shapes
Three of the four important principles of iterating units of length are listed below. Identify the one that is actually a misconception.
Units are measured by the ending point of a ruler
It is important for students to experience and explore percent relationships in realistic contexts. Three of the statements below are guidelines to follow for presenting percents. Identify the one that does not support best practices.
Use the following sentences in their solutions "____ is ____ percent of _____"
Students need to learn that time is something that can be measured. All the activities listed help them think in terms of seconds, minutes, and hours except:
a.m. and p.m.
For students to have a conceptual understanding developing formulas for perimeter and area, they should do all the following except:
be told the formula.
Which of the following is one of the best approaches for teaching elapsed time?
An empty number line
Which van Hiele level is it when students are considering classes of shapes and focusing on properties of shapes?
Analysis
The process of concrete-semi-concrete-abstract (CSA) described earlier in this text can refer to the phases of teaching probability. Which of the following would match with semi-concrete?
Representation
The following are examples of independent probability events except:
Drawing a blue cube from a bag of six different colored cubes
When using base-ten materials in developing decimal concepts what is an important idea to be realized?
Any piece could be effectively chosen as the ones piece
Purposes of conducting experiments (doing simulations) are important for all of the following reasons except:
Assess whether students have a probability sense
Physical models provide the main link between fractions, decimals, and percents. Identify the one model that is suitable for all three because they all represent the same idea.
Base-ten models
What type of scale measures mass from small to large?
Beam or balance scale
The natural progression for teaching students to understand and read analog clocks includes starting with which of the followingsteps?
Begin with a one-handed clock that can be read with reasonable accuracy.
What tool would allow students to make an axonometric drawing where scale is preserved?
Centimeter isometric dot paper
What is the cognitive skill that helps students recognize and group shapes according to their attributes and properties?
Classification
The "place learning" words lay the foundation for students to identify points on what system?
Coordinate plane
Money skip counting and using the hundreds chart to money count support what mental mathematics strategy?
Counting on
Which term refers to an event whose results depend on the results of the first event?
Dependent event
Which of the following transformations is a nonrigid transformation?
Dilation
What description below describes a visualization activity?
Draw and recognize objects for different viewpoints
What would be a prerequisite to being successful in measuring angles?
Mental images of angle size
What are the standard units used to measure capacity?
Milliliters, centiliters, and liters
Multiplication of decimals is poorly understood for many reasons. Identify the misunderstanding that relates to whole number multiplication.
Multiplying makes the product larger
Which of the following would result in an unequal likelihood versus and equal likelihood?
Number cube with sides 4,4,4, 5,5,5, 6,6,6
Which of the following is a nonstandard unit of measure?
Paper clip
To compare the weights of two objects, which of the following is the best approach?
Place the two objects in the two pans of a balance.
What mathematical tool(s) would provide students with the opportunity to make a conjecture about how likely an event is?
Probability number line 0 impossible to 1 certain
Angle measurement can be a challenge for some students for the following reason.
Protractors are used to measure angles
Comparison activities guide students understanding of volume and capacity. Identify the activity that would not use volume comparison.
Provide students with grid paper and rulers to construct different sized rectangular prisms
Estimation is particularly important for students who have learned the rules of computation but cannot decide about?
Reasonable answers
Which of the following is shown through research to be a common error or misconception when students are comparing or ordering decimals?
The decimal that is the shortest is the largest.
What is a key idea in connecting whole number place value and decimal fraction place value?
What is a key idea in connecting whole number place value and decimal fraction place value?
What event listed below would be an example of known sample space?
What is the probability of drawing a red cube from a bag of six different colored cubes?
