PECT - Module 3 - Practice Test Questions With Verified Answers

A kindergarten student recognizes that, although buttons are much smaller than elephants, five elephants represent the same quantity as five buttons. This best demonstrates that the child has an understanding of: A. estimation B. numerical operations C. multiplication D. number sense - Answer D Express the following words as numbers: Fifty-six- 506 twenty-five- 205 The student who made the errors shown in the exercise above would benefit most from which of the following? A. practicing basic math facts B. reviewing the concepts of "0" as a place holder when writing numerals C. Using unit cubes to represent numbers in base 5 D. arranging groups of base-10 blocks and writing the numerals represented - Answer D A third grade student has solved a word problem correctly but had not shown any of the work. The teacher can best assess the student's conceptual understanding of the problem by asking the student to: A. solve additional similar problems B. determine if the answer is reasonable C. explain the steps to arrive at the answer D. create a similar type of word problem - Answer C Which of the following behaviors by a child demonstrates an understanding of one-to-one correspondence? A. placing blue and red balls in separate containers B. identifying objects in a room that comes in pairs C. Counting a group of ten objects by touching each object while saying its number aloud D. matching a puzzle piece with the number five to a puzzle piece with five apples on it - Answer C A kindergarten teacher keeps a large calendar on the classroom wall. Each morning, the teacher and the children discuss the weather, and the children decide whether they should place a sun or a cloud on the calendar. Which of the following teacher-led activities would be most effective and developmentally appropriate for integrating math into this science activity? A. creating a weather picture graph and updating it daily B. asking the children to decide each morning whether it is sunnier or cloudier than the day before C. adding a yellow marble to a jar for everyday it is sunny D. recording the daily temperature and correlating it too cloudy and sunny days. - Answer A a pair of first-grade uses a 2.5 in. block to measure the length of a table. The students then use a 5in block to measure a different table of the same length. They announce to the teacher that the first table is longer than the second table. The teacher then measures the two tables with a ruler and shows the students that the two tables are the same length. This situation could be most appropriately used for introducing the students to which of the following mathematical concepts? A. geometric shapes B. Standard units of measure C. conservation of number D. perimeter and area - Answer B A teacher regularly utilizes peer tutoring in math. The teacher pairs students according to skill level and makes sure that each of the students has a turn in the role of tutor. Which of the following is likely to be the most important benefit of incorporating this type of peer support into instruction? A. increasing students' motivation to learn math content B. prompting students to evaluate their math performance in relation to that of their classmates C. helping students develop efficient and effective study skills in math D. accelerating the pace at which students are able to master math content - Answer A. A first-grade teacher who wants to promote students' ability to communicate mathematical ideas should emphasize which of the following teaching practices? A. having students explain their problem-solving strategies orally as part of daily mathematics activities B. helping students create a personal dictionary of mathematical vocabulary C. engaging students in the process of writing their own mathematical word problems. D. providing students with opportunities to complete mathematics activities with a partner or in small group - Answer A Which of the following activities would be most appropriate to foster a fourth-grade students' skills in using mathematical language to communicate relationships and concepts A. making a word problem for a classmate to solve that involves an application of the order. B. using flashcards to learn mathematical vocabulary and practice for a quiz. C. explaining why a procedure for multiplication work using place value and properties of operations. D. reading and writing whole number up to one million in words and in number form - Answer C In alignment with National Council of teachers of mathematics (NCTM) Principles and standards for school mathematic, elementary mathematics activities A. encourage the use of shortcuts and mnemonic devices to improve fluency B. contribute to a portfolio that students assembles to demonstrate their progress C. incorporate a wide variety of technology to meet the needs pf diverse learners D. foster the development of reasoning, argumentation, and representation - Answer D A kindergarten teacher wants students to be able to decompose the number 10 into number pairs. which of the following student activities is likely to be most effective in meeting this objective? A. comparing two sets with quantities less than or equal to ten. B. describing the role of ten in the place value system. C. Solving a series of addition problems with sums equal to ten D. Using number cubes to show how to make ten in more than one way - Answer D A teacher would like to provide opportunities for elementary students to make conjectures and construct arguments related to mathematics. Which of the following approaches is likely to be most effective in meeting his goal? A. encouraging students in computer-assisted instruction and visual media. B. encouraging student interaction and cooperative learning. C. incorporating the use of progressive and innovative textbooks D. ensuring that all students work at the same pace and level of complexity - Answer B A fourth-grade teacher leads an activity with a class. When a student states a number, the teacher responds with a resulting number. This continues until the students can identify the rule the teacher is using to calculate the resulting number. This activity is one layer of scaffolding to prepare students for which of the following mathematical concepts? A. Functions B. probability C. proportions D. multiplication - Answer A A third-grade teacher would like to design an assessment to measure student understanding of the following learning standard: Understand concepts of area and relate area to multiplication and addition. Which of the following activities is most appropriate for assessing a third-grade student's mastery of this standard? A. The student explains why the area of a square is the same as its side length squared and how this relates to the diagonals of the square. B. The student finds the area of a rectangle using unit squares and explains why it is the same as the product of the side length. C. The student verifies the formula for the area of a right triangle by showing that it has half the area of a rectangle D. The student represents lengths on a number line and explains how multiplication is related to making copies of the lengths. - Answer B During a six week mathematics unit, a teacher gives the class a quiz each Friday to assess students' understanding of the content that was covered that week. The students perform well on the Friday quiz for weeks 1 and 2, but then they score very poorly on the quiz for week 3. The teacher can best respond to the students' poor performance by using which of the following approaches? A. creating a unit test that places greater weight on week 3 content than on other unit content B. reviewing week 3 content at the end of the unit when students have a stronger knowledge base C. agreeing to ignore results for the week 3 quiz if student performance improves on later unit quizzes D. reteaching week 3 content before moving on to the content planned for week 4 of the unit - Answer D Which of the following strategies would be most appropriate for helping first-grade students develop skill in adding two number within 20? A. showing students how to regroup using the standard addition algorithm B leading students to discover the relationship between addition and multiplication. C. helping students recognize that a digit in the tens place is ten times a digit in the ones place. D. encouraging students to decompose one of the numbers so that it can make ten with the other number. - Answer D Giving four-year olds access to water or sand tables and a variety of containers would most effectively promote their early exploration of which of the following physical science concepts? A. conservation of mass B. Forces and motion C. properties of materials D.Energy transfer - Answer B Over a two month period, a kindergarten teacher has taken pictures of the phases of the moon. During that time, the teacher and students have pasted each new picture on the corresponding date on a large calendar. The class has had several lively discussions about the students' own observations of the moon and its changing appearance. In the context of developing students' science skills, which of the following questions would be most appropriate for the teacher to pose at this time? a. do you think the moon is larger or smaller than the earth? b. what do you think the moon will look like tomorrow night? c. where do you think the moon came from? d. what other things would you like to know about the moon? - Answer B A second-grade teacher places a freshly cut white carnation into glass that is filled with water that has been dyed dark blue with food coloring. During the day, the children observe the carnation as the blue water rises in the stem and eventually causes the petals of the flower to turn blue. This activity would be most appropriate for modeling which of the following scientific concepts? A. photosynthesis B. The water cycle C. nutrient absorption D. conservation of matter - Answer C A second-grade teacher helps the children in her class record the temperature outside the building each morning for two weeks. The children also note if it is sunny, cloudy, or raining when the temperature is recorded. At the end of the two weeks, the children chart their temperature values on graph paper and see if there is any relationship between temperature and weather conditions. This activity will be most effective for helping children practice which of the following science skills? A. describing and classifying phenomena B. designing and using scientific models C. formulating and testing hypotheses D. collecting data and drawing conclusions - Answer D Handheld magnifiers would be most useful for helping kindergartners observe: A. protozoa in pond water B. cells in plant leaves C. parts of an insect's mouth D. bacteria in yogurt - Answer C Which of the following activities in a prekindergarten classroom would provide the best opportunity to foster children's understanding of concepts related to chemistry? A. blowing on balloons to keep them airborne B. scooping sand and pouring it through a sieve C. Creating design with a sand pendulum D. mixing ingredients and baking cookies. - Answer D As a part of a science unit, a second-grade teacher has students work in groups to build mounds of sand and dirt in a corner of a school yard. The teacher then supplies the students with small watering pails and asks them to pour water on their mounds and take notes on what they observe. This activity would build students' understanding of which of the following natural processes? A. abrasion B. deformation C. erosion D. subduction - Answer C Students in a third-grade class are studying volcanoes. The teacher wants to use technology to support students' understanding of the nature volcanic activity. Which of the following strategies represents the most appropriate and effective use of technology for this purpose? A. arranging for students to use an online database of scientific journals to look for articles that describe volcanic activity. B. demonstrating for students the types of results they are likely to get when using different internet search terms related to volcanoes C. bookmarking for students on classroom computers a few internet sites with streaming video of actual volcanic activity D. having individual students summarize for the class selected articles about volcanoes from an online science encyclopedia - Answer C Students in a third-grade class are studying habitats. The class has briefly discussed some issues related to the shrinking of rain forests around the world, and the teacher would like to help students gain a deeper understanding of these issues . One strategy the teacher plans to use is to have students read and respond to recent magazine articles on these issue. In selecting articles for this activity, the teacher's primary goal should be to select articles that: A. present information using various types of tables and graphs B. can be read and understood by students with different knowledge and skill levels. C. Are free from content that could be considered controversial D. include bibliographies of materials for students who wish to study the topic independently - Answer B A second-grade teacher will be planning a lesson to introduce students to a science concept included in the state curriculum for second graders. The teacher can best help ensure an effective lesson by considering which of the following questions during the planning process? A. Is the targeted science concept more or less complex than other science content the class has studied? B. To what extent do the science texts available to the class match the state science curriculum? C. What has been the students' overall level of interest in science instruction during previous lessons? D. What is the extent of the students' prior knowledge related to the targeted science concept? - Answer D After a child shares the current weather (warm and sunny), a prekindergarten teacher shows the children two plastic cups. In each cup is a single ice cube. The teacher explains that he will place one cup outside in the sun, and another inside on the counter. He then asks the children to predict which ice cubes melt throughout the day and are later asked to conclude which cube melted first. This activity is most likely intended to develop children's: A. Scientific inquiry skills B. oral language skills C. self-expression skills D. emerging mathematics skills - Answer scientific inquiry skills A prekindergarten teacher is beginning a new unit on insects and would like to plan an activity that will promote students' higher-order thinking skills. Which of the following activities would be most effective for this purpose? A. placing a variety of stuffed insect toys and puppets in the dramatic play area. B. writing a class play about insects and having students act it out for friends and family. C. cutting out geometric shapes and having students create their own insects. D. providing a variety of realistic toy insects and having students sort them by similarities and differences - Answer D A third-grade teacher is planning a unit on physical science. Which of the following physical science activities would be most appropriate for this grade level according to the PA academic standards for science? A. measuring the energy changes that occur as water goes from the liquid to a gas. B. exploring energy's ability to cause motion or create change C. analyzing the degree of force of a moving object has on a sedentary object D. Comparing and contrasting different forms of kinetic and potential energy - Answer B A second-grade teacher sets up two glass jars on a sunny windowsill to prepare a class demonstration on solar energy. As shown in the diagram, one of the jars has black pepper lining both the bottom of the jar and half of the interior of the jar. the other jar is unlined. Both jars are placed in a position that allows equal amounts of sunlight to enter the jars. A small thermometer is suspended from the lid of each jar two inches above the bottom of the jar. After a half hour, the teacher records the temperature of the air inside the jar partially lined with black paper. This demonstration would help second grader understand which of the following fundamental meterological concepts A. the role of the earth's surface in transforming sunlight into infrared energy that warms the atmosphere. B. the amount of energy in sunlight reflected back into space by dark earth materials such as soil vegetation. C. the role or wa - Answer A