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True/False Quiz

1. The lesson unit’s primary goal is to provide a summative grade on students’ understanding of rational and irrational numbers.

  • True
  • False
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Correct Answer: False

Explanation: The document clearly identifies this as a ‘Formative Assessment Lesson’ intended to ‘assess how well students reason’ and ‘identify and assist students who have difficulty,’ explicitly stating on page T-2 that teachers should ‘not score students’ work.‘


2. A rational number can always be written as a fraction of integers, and its decimal representation is always non-repeating and non-terminating.

  • True
  • False
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Correct Answer: False

Explanation: While a rational number can always be written as a fraction of integers, its decimal representation is either terminating or repeating. The characteristic of being ‘non-repeating non-terminating’ describes an irrational number, as clarified in the ‘Common issues’ table on page T-3.


3. To conclusively establish that a statement is ‘Always True’ or ‘Never True’ in this lesson, students are expected to provide a formal mathematical proof.

  • True
  • False
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Correct Answer: True

Explanation: Page T-4, in the ‘Suggested Lesson Outline,’ states: ‘To show a statement is always/never true requires proof.’ It also notes that proofs for some statements might be beyond high school students, but the requirement for proof is the key concept.


4. Students begin the lesson unit by working collaboratively in small groups on the main task of classifying statements as ‘Always, Sometimes or Never True.’

  • True
  • False
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Correct Answer: False

Explanation: The ‘Introduction’ and ‘BEFORE THE LESSON’ sections (page T-1, T-2) clearly outline that students first ‘attempt the assessment task individually’ (‘Rational or Irrational?’) before moving to collaborative small-group work during the main lesson.


5. When students are struggling during collaborative work, the teacher’s role is to directly tell them the correct answers to help them progress.

  • True
  • False
View Answer & Explanation

Correct Answer: False

Explanation: Page T-6, under ‘Support student problem solving,’ advises: ‘Try not to make suggestions that resolve students’ difficulties for them. Instead, ask questions to help students recognize errors and question them to clarify their thinking.’



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