Math Diagnostic Test Study Flashcards
16 Questions
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Math Diagnostic Test Study Flashcards

Created by
@GrandDwarf5939

Questions and Answers

Which of the following is equivalent to (\frac{1}{200})?

  • 5%
  • 0.200
  • 2%
  • 1/2 of 1% (correct)
  • How many pencils did Mr. Green have left to pass out?

  • 30 x (3 - 2 - 3) + 2
  • 30 - 3 x 2 + 3 - 2
  • 30 + 3 x (2 + 3) + 2
  • 30 - (3 x 2) - 3 + 2 (correct)
  • Which of the following illustrates the property of reciprocals?

  • The product of 31 and \(\frac{1}{31}\) equals 1. (correct)
  • The numbers 65, 70, and 12 can be added together in any order, and the sum will always be the same.
  • The sum of 102 and 9 is the same as the sum of 9 and 102.
  • Multiplying \(\frac{23}{16}\) by \(\frac{16}{23}\) gives the same product as multiplying 16 by 23.
  • How many feet of fencing are needed for the garden?

    <p>144 feet</p> Signup and view all the answers

    The focus of the lesson is _______________.

    <p>order of operations</p> Signup and view all the answers

    How many phone calls will there be?

    <p>15</p> Signup and view all the answers

    Which shape is smooth with no edges?

    <p>ovoid</p> Signup and view all the answers

    What is an example of something that her students might be using in a math class?

    <p>use of real objects</p> Signup and view all the answers

    Learner-centered instruction is based on _______________ theories.

    <p>constructivist</p> Signup and view all the answers

    What is a learning progression?

    <p>concepts and procedural steps in math that occur over time</p> Signup and view all the answers

    What information does a teacher need to determine the cost of the project supplies for the class?

    <p>Total cost of supplies for one project and number of groups</p> Signup and view all the answers

    How many oranges did the farmer pick in the morning and in the afternoon?

    <p>120 morning, 240 afternoon</p> Signup and view all the answers

    What is the value of (((6^{2})^{4}))?

    <p>6^8</p> Signup and view all the answers

    What strategy is Ms. Green using that involves a 'teaching point'?

    <p>math workshop</p> Signup and view all the answers

    What is the difference between collaborative and cooperative learning?

    <p>Cooperative learning is more structured than collaborative learning.</p> Signup and view all the answers

    What is the relationship between subtilize and iterations?

    <p>Subitize is an estimate and iteration is repeated estimations.</p> Signup and view all the answers

    Study Notes

    Math Concepts and Problem Solving

    • Equivalent fraction to (\frac{1}{200}) is 1/2 of 1%.
    • Problem involving pencils: Mr. Green starts with 30, three students take two each, a new student takes three, and one of the original students returns two; the solution formula is (30 - (3 \times 2) - 3 + 2).
    • The property of reciprocals shows that the product of 31 and (\frac{1}{31}) equals 1.

    Perimeter and Geometry

    • To calculate the perimeter of a rectangular garden (30 ft wide, 44 ft long) with a 4 ft gate, the total fencing required is 144 feet.
    • Shapes with no edges include ovoid. Cones, cylinders, and prisms all have edges.

    Teaching Strategies and Learning Theories

    • Order of operations is indicated by PEMDAS (Please Excuse My Dear Aunt Sally).
    • Learner-centered instruction is based on constructivist theories, focusing on active student engagement.
    • Good manipulative for teaching volume includes centimeter cubes.

    Progressions and Project-Based Learning

    • A learning progression involves the concepts and procedural steps in math that develop over time.
    • To budget for class supplies for group projects, a teacher needs the total cost per project and the number of groups.

    Applied Math and Real-Life Problems

    • A farmer picking oranges: 120 in the morning and 240 in the afternoon total 360 oranges picked.
    • Exponent simplification shows that (((6^{2})^{4} = 6^{8})).

    Collaborative Learning Techniques

    • Strategies involving "teaching points" indicate the use of math workshops.
    • The difference between collaborative (group work) and cooperative learning (structured pairs) lies in group size and structure.
    • Subitizing is an estimation technique, while iterations refer to repeated estimations for fluency.

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    Description

    This quiz features flashcards designed for a math diagnostic test, focusing on fundamental concepts and problem-solving skills. Test your understanding of fractions, percentages, and basic arithmetic through a series of questions. Perfect for students looking to reinforce their math knowledge.

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