Quiz Math Methods Elementary

Ms. Daniels is a second-grade teacher who notices that several of her students are struggling to determine the value of an unknown addend in an equation. She plans to reteach this concept in small groups to the students who are struggling. Which of the following manipulatives would enhance Ms. Daniels' small group lessons on this topic?

Cuisenaire rods

Mr. James plans to assess his students' knowledge during a unit on linear functions and would like feedback from the students on how well they feel they are learning the concepts. Which of the following assessment would be the most appropriate for Mr. James to use during the unit?

Daily open-ended formative assessment in which the students complete a problem, with justification and any questions they still have about the material from that day.

Which of the following statements best describes a formative assessment?

Formative assessments measure what students know along the way.

A teacher is preparing a lesson on addition. Her sample problems are formatted as follows: 12 + 3 = ________ 5 + 6 = ________ 102 + 8 = ________ What is the best way she improve the structure of her problems to help all types of learners in her classroom?

Give problems in multiple formats, including writing in vertical format and giving word problems.

Which of the following is the greatest benefit of using a variety of assessment methods?

It allows the students several different ways to demonstrate what they have learned and can do.

Two color counters are often used to model addition and subtraction of integers. The red counters represent negative integers; the yellow represent positive integers. If the counters above were used to model the addition, what would be the result?

-2 The problem pictured above is -7 + 5 = -2. Using the chips, a red and a yellow chip are paired together to form a "zero-pair"-a model of -1 + 1 = 0. Pairs are matched and removed from the group leaving two red chips unmatched. This results in a representation of an answer of -2.

Mr. Zammit is teaching his class about shapes. One of his students incorrectly labels all rectangles as squares and all rectangular prisms as cubes. Which of the following should Mr. Zammit do in this situation? Select all answers that apply.

Require his student to use correct mathematical vocabulary. And Make an analogy to help the student understand his mistake, for example calling every rectangle a square is like calling every fruit an apple.

Mr. Marks gives his students a pop quiz on graphing on the coordinate plane. Sixty percent of his students fail the quiz. What should he do next?

Reteach the (x,y) coordinate structure and axes to the whole class.

Mrs. Rogers is teaching her students about volumes of regular rectangular prisms. She has students work with pieces of wood and measure their length, width, and height to determine volume. She asks students to analyze nets of prisms to determine their volume. While students have been successful using pieces of wood, they seem to be having issues using nets. How should Mrs. Rogers intervene?

She should demonstrate how to cut out and assemble the nets and then ask students to determine area of the nets in 3D form.

Mrs. Smith is teaching 2 digit by 2 digit multiplication to her class. By assessing her class with exit slips, she notices that 10 of her 22 students have achieved the same solution, seen here. What should Mrs. Smith teach tomorrow? 16 x 18 = 128 + 16 = 144

She should reinforce placeholder zeros.

A class of sixth-grade students is given the following problem: 1/2 + 3/4 = Many of the students arrive at the answer: 1/2 + 3/4 = 4/6 = 2/3 What should the teacher NOT consider with respect to remediation?

Students need more work reducing fractions.

The semester exam administered to students at the end of the term is considered to be a:

Summative assessment

Mr. Barrios is teaching a unit on multiplication to his fifth-grade class. On the very first day he gives an exit slip with the following problem on it: 123.456×789=123.456×789= _______ Every single student gets the question correct. How should he adjust his teaching?

Teach more advanced multiplication content to challenge his students.

Nora is a student in Ms. Perez's sixth-grade math class. She is working on an assignment in which students are asked to put sets of integers and rational numbers in order from least to greatest. The following are two sets of numbers from the assignment, along with Nora's answers: Set 1 45,1.2,−2,13,0.554​,1.2,−2,31​,0.5 Nora's Answer: 13,0.5,45,1.2,−231​,0.5,54​,1.2,−2 Set 2 −1.3,−14,−25,1.4,−0.75−1.3,−41​,−52​,1.4,−0.75 Nora's Answer: −14,−25,−0.75,−1.3,1.4−41​,−52​,−0.75,−1.3,1.4 Which of the following skills should Ms. Perez plan to review with Nora?

locating negative numbers on numbers lines

What is the primary goal of summative assessments?

measuring student achievement

A first-grade teacher administers the following pre-assessment on place value to the 20 students in the class. ___ tens and __ ones = 37 7 and 3___ tens and __ ones = 43 3 and 4___ tens and __ ones = 81 1 and 8___ tens and __ ones = 72 2 and 7 Based on these results, which of the following strategies should the teacher implement in future lessons?

modeling with base ten blocks

A kindergarten teacher is planning a lesson in which students will measure the length of various items in the classroom using nonstandard units of measurement. Which of the following would be best suited for measuring crayons, books, and computers during this lesson?

paper clips Paper clips can be used as a nonstandard unit of measurement for items of this size.

Base ten blocks are commonly used by teachers to illustrate the concept of:

place value. Base ten blocks are a common manipulative used for this concept.

Mr. Stiles is introducing measurement to his third-grade class. He has rulers, stopwatches, scales, and graduated cylinders available for them to use. Based on previous lessons, he knows that most students do not know how to use these tools correctly. What is the best introductory lesson for this unit?

providing students time to explore the items and then creating a K-W-L chart

Ms. Hobbs is planning to introduce long division to her students for the first time. Which of the following would be the best first instructional step for this topic?

quiz students on their understanding of basic division before proceeding

A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics problems. Students are not expected to complete all of the questions, but are graded on the number they are able to get correct in the time limit. What component of mathematics fluency is most likely the goal of this type of assessment?

rate The school district is assessing rate because they are seeing how many questions students can answer in a given time frame.

A first-grade student is asked to find the total value of the following coins: 3 dimes, 1 nickel, and 4 pennies. The student's response is that the coins are worth $0.12. Based on this response, what concept does this student likely need help with?

recognizing different coins and their respective values

A second-grade teacher gives students a short assessment on subtracting two- and three-digit numbers and collects the following data: Solution 1 (correct answer) Number of students with solution 1 Solution 2 (incorrect)Number of students with solution 2 Solution 3 (incorrect)Number of students with solution 3 314 - 53 = 261. 361. 367 546 - 28 = 518. 528. 574 193 - 21 = 162. 152. 224 Based on this data, the teacher should plan to reteach concepts related to:

regrouping or "borrowing"

A recent formative assessment shows that 80% of Ms. Parker's first-grade class has not mastered the skill of finding the value of unknown addends. In her lesson on this concept, Ms. Parker taught students to "count up" from one number to the other to find the unknown addend. Based on results of the formative assessment, Ms. Parker should:

reteach the concept to the whole class using manipulatives.

A first-grade student is working on the problem 11 + 9. His teacher observes him as he draws 11 circles, then 9 more circles, and then counts the total. As he is counting, he counts one of the circles twice and gets an answer of 21. His teacher encourages him to try another strategy to check his work. Which of the following is a reasonable method that the student should choose?

solving the problem using a number line A number line is a good way for first-grade students to represent addition and subtraction problems. Using the number line would be an effective way for the student to check his work.

A student is working through a double-digit multiplication problem and turns in the work pictured. Which of the following best describes the student's error?

the student erred when multiplying 10 and 15

Formative assessments provide information that can be used for which of the following?

to change and improve instruction

A second-grade student is given the problem 38 + 94. The student's work is shown below: 38 + 94 1212 Which of the following best describes the student's error?

The student did not regroup or "carry" the tens value when adding 8 + 4.

Ms. Rose's class is learning about order of operations. While practicing this new concept, a student simplifies the following expression. 8 - (4+3)^2 x 68 -16 +9 x 68 - 16 +54-8 + 5446 Which of the following best describes the student's error?

The student evaluated the power of exponents before adding within the parentheses.

Anytown School District provides a 50 multiple-choice question mathematics assessment to all students. The students complete the assessment, the tests are scored, and the scores are compared throughout the school district. Which of the following mathematics component is most likely the goal of this type of assessment?

accuracy

A second-grade teacher is planning an introductory lesson on ordering numbers on open number lines and wants to incorporate technology into the lesson. Which of the following would be the most effective use of technology in this scenario?

an interactive number line on which students can drag and drop numbers to the correct place

A first-grade class is finishing a unit on counting sets of coins. Which of the following would be an effective use of technology at the end of the unit?

an online assessment in which students select the set of coins needed to purchase different items

A third-grade teacher is planning a lesson on representing data using dot plots. She plans to introduce the concept of dot plots, show examples, and create a class dot plot that shows how many siblings the students have. Which of the following would be the best way to incorporate technology into this lesson?

an online program that allows students to plot their data point on a dot plot

A third-grade teacher is planning a lesson on representing multiplication facts. She wants students to be able to model multiplication problems using a variety of different representations. Which of the following includes ways that the students could model a basic multiplication fact?

arrays, equal-sized groups, number lines

Which of the following would be an appropriate time for a classroom teacher to use a formative assessment?

as a closing activity at the end of a class period when students are involved in a cooperative group project as the teacher is introducing a new concept * all of the above are good times for a formative assessment *

A kindergarten teacher is planning a lesson on two-dimensional shapes. Which of the following manipulatives would be the most effective to use when teaching students about the different qualities of specific shapes?

attribute blocks

A kindergarten teacher is working on adding one-digit numbers with a small group of students. Which of the following would NOT be a manipulative that the teacher might plan to use?

base ten blocks

Jayce is a first-grade student struggling with comparing two-digit numbers. Which two of the following manipulatives could his teacher use to provide support for Jayce? Select all answers that apply.

base ten blocks and Unifix cubes

A teacher draws a 10x8 grid on the board without any "X"s in the grid. The teacher then writes "X"s in one and a half rows of the grid. The teacher asks the students to create an equation to represent blocks left on the grid, if the "X"s represent the blocks that have been removed. Which of the following is the best equation in response to the teacher's question?

80 - 15 There are 80 blocks on the grid. If 15 are removed, then the equation 80 - 15 represents this.

Which of the following manipulatives are most appropriate for kindergarten students learning about two-dimensional shapes?

Attribute blocks

Rather than give a unit test, Mrs. Kirby decides to assign a major project to her students. They are provided a rubric that sets the expectations and guidelines. Students will be given 2 class periods to work on it and the rest must be completed at home. Students will then present their projects in class. What is the main advantage to giving a project rather than a test?

Projects require higher level thinking and can demonstrate greater concept mastery than tests.

A first-grade teacher is planning a lesson on solving problems with an unknown addend, such as 3 + __ = 8. She knows that students have struggled with this concept in previous years and is looking for a way to engage students with technology while still improving their understanding of the concept. Which of the following could she do in order to achieve this?

Use an interactive part-part-whole model that allows students to drag items from the "whole" to the "parts" to find the unknown addend.

Marcus is a first-grade student working on place value task cards at a math center. Each task card shows an image of base ten manipulatives, and students are to write the corresponding number in standard form on their recording sheet. Marcus selects a card that shows 1 hundreds block and 3 ones cubes. On his recording sheet, he writes that the number shown on the card is 13. Based on this scenario, which of the following tools would be the most effective to provide to Marcus?

a dry-erase place value chart

Ms. Ma is teaching her students about subtraction. On her exit ticket she asks "What is the difference between 21 and 14?" Several students answer 35. Another question she asks is "25-6 =___" to which every student answers 19. What should Ms. Ma teach tomorrow?

a lesson on math vocabulary focusing on keywords in word problems

A math teacher is incorporating the use of technology to enhance her unit on charts and graphs. The class worked together to write questions to guide their data collections. The students wrote questions like, "What is your favorite color?" and "What is your favorite dessert?" They have collected responses from their classmates and are ready to organize their data to make graphs. What technological tool could the students use to organize their data and create their graphs?

a spreadsheet

A prekindergarten teacher is planning small group lessons on one-to-one correspondence. Which of the following manipulatives would be the most effective to use when introducing this concept?

counters

Which of the following activities would be most effective in helping first-graders understand partitioning 2-dimensional shapes into equal parts?

cutting out different shapes and having students fold them into 2 or 4 equal parts

A teacher engages her class in a discussion of the coordinate plane. The students are asked to identify the quadrants, the coordinate axes, and the mathematical notation for various points in the plane. Students are asked to develop a way to quickly identify the quadrant in which various points lie. Which of the following objectives is the teacher most likely trying to address with this lesson?

developing precise mathematical language when expressing mathematical ideas

In a fourth-grade class, students are making cookies to learn about fractions. They are using a set of measuring cups and spoons for their measurements. This learning is best described as:

formal standard measurement.

Which of the following best describes a high-stakes assessment, such as state mandated exams?

formal summative assessment

A third-grade teacher notices that some of her students are struggling with putting fractions in order from least to greatest. What would be the most appropriate manipulative to help students with this concept?

fraction strips

Mariela is a third-grade student in Mr. Miller's math class. Mr. Miller has noticed that Mariela is struggling with comparing fractions with the same denominator. What should Mr. Miller use when working with Mariela on this concept?

fraction tiles

Students are asked to solve the word problem below. The school carnival is coming up and Jenny and Sarah plan to sell cupcakes. Since the school carnival is a fundraiser, Jenny and Sarah's parents make a donation to their cupcake booth to get them started. Jenny starts with a $5 donation and sells her cupcakes for $3 each. Sarah starts with a $10 donation and sells her cupcakes for $2 each. How many cupcakes do Jenny and Sarah have to sell for their profits to be equal? One student's response is "Zero, because if Jenny sells her cupcakes for more money, then she will always have more profit." Which of the following activities could help the student realize his misconception?

graphing the scenarios

Mrs. Cooper wants to reinforce a concept she is teaching her sixth-graders by having students use their calculators to solidify their conceptual understanding. In which of the following activities would the use of a calculator be most beneficial to conceptual understanding?

having students graph lines with different y-intercepts then determine how b changes the graph of y = mx + b

The mathematics teacher and art teacher work together to create an interdisciplinary lesson using tessellations, which are basic geometric shapes set to a repeating pattern. The students cover a large piece of poster board with the patterns they create. Which of the following mathematical concepts is most closely reflected in this activity?

infinity The tessellations will continue in infinity. The teacher is introducing a mathematical concept that does not end, but repeats continually. This is the concept of infinity.

A fifth-grade student was asked to multiply 15 and 35. His work is provided below. 35 x 15 = 1525 + 35 = 1560 As his teacher, what remediation would you plan on providing?

inform upcoming instructional strategies.

A mathematics teacher gives her class a two-question clicker quiz at the end of each class period and tabulates their answers according to their mathematical understanding, misconceptions, and error patterns. If her goal is improvement in her students' mathematical proficiency, her best use of the data would be to use it to:

inform upcoming instructional strategies.

A teacher is monitoring her class while the students are involved in a group activity exploring the size of angles in a set of triangles. She moves from group to group, pausing and watching the group dynamics. What the teacher is doing can best be described as:

informal formative assessment.

Mrs. Adamson's student asks her how much space a cube takes up. Mrs. Adamson said to answer this question, the student would need to calculate the volume of the cube. Which of the following measurable attributes is the formula for a cube based upon?

length Before the volume of a cube can be calculated, the length, width, and height must be measured. Length is the best answer.