Ch. 4 & 10 Quiz

Which of the following correctly describes the phases of a three-phase lesson plan in a problem-based classroom?

• Introduction, Practice, Test

• Review, Model, Apply

• Before, During, After

• Engage, Solve, Reflect

Answer explanation

Before: Getting ready

During: Students work

After: Class discussion

What are the three goals of the before phase of a three-phase lesson plan?

Answer explanation

Activating prior knowledge reminds students what they have previously learned and connect to their personal experiences. Making sure the task is understood allows students to ask questions and will have them more engaged. Establishing a clear expectation tells students how they are to work and what products they are to prepare for discussion.

What is the primary goal of using a 3-Act Math Task in the classroom?

• To teach procedural fluency

• To provide a scripted lesson format

• To assess student memorization skills

• To engage students in problem-solving and critical thinking

Answer explanation

3-Act Math Tasks are designed to involve students in a real-world context where they can explore, question, and solve problems. The tasks are split into three acts to build curiosity, develop mathematical thinking, and reflect on the solution.

Describe how you would implement a 3-Act Math Task in a lesson on fractions. Include brief details for each act.

Answer explanation

Act 1: visual context that peaks students interests

Act 2: students will identify the variables needed to solve the problem

Act 3: sharing and discussing how the students solved the problem

Name two strategies you can use to differentiate instruction in a problem-based learning environment

Answer explanation

Tiered tasks: Provide tasks at varying levels of difficulty that align with the same learning goal, allowing students to work at their individual levels.

• Flexible Grouping: Group students based on their strengths, needs, or interests, and rotate groups to allow for a variety of collaborative experiences and peer learning.

• Parallel tasks: involves students working on different tasks all focused on the same learning goal

Which of the following is a key benefit of differentiating instruction in a problem-based classroom?

• It enables instruction to be tailored to meet the diverse needs of all students.

• It focuses only on high-achieving students.

• It allows all students to work on the exact same problem at the same pace.

• It simplifies lesson planning.

Answer explanation

Differentiating instruction in a problem-based classroom allows teachers to adapt their teaching methods and materials to meet the varied learning needs, preferences, and readiness levels of all students, thereby enhancing engagement and understanding.

Which of the following activities is most suitable for assessing pre-place-value understanding in young children?

• Identifying numbers on a number line

• Recognizing numbers as quantities without counting

• Performing addition with two-digit numbers

• Counting objects in groups of ten

Answer explanation

Before understanding place value, students need to grasp the concept of numbers as quantities, often referred to as subtilizing. This foundational skill helps them understand numbers as whole quantities rather than merely as a sequence of digits.

Explain why understanding pre-place-value concepts is important for developing place value understanding.

Answer explanation

There are three levels of understanding place value:

1- children understand ten as ten ones

2- children see ten as a unit

3- children easily work with units of ten

Which method is effective for helping students develop an understanding of place value for whole numbers?

• Reciting numbers in order

• Using base-ten blocks to represent numbers

• Writing numbers repeatedly

• Rote memorization of numbers

Answer explanation

Base-ten blocks provide a concrete visual representation of numbers, allowing students to physically manipulate and see how numbers are composed of tens, ones, and other place values. This hands-on approach makes the abstract concept of place value more accessible.

What are benchmark numbers, and why are they useful in teaching rounding?

• Large numbers used in data analysis

• Arbitrary numbers used for estimation

• Exact numbers used in computation

• Numbers that are easily recognized and used for making estimates

Answer explanation

Benchmark numbers, such as 10, 50, and 100, are reference points that help students make reasonable estimates. These numbers simplify the process of rounding by providing familiar, easy-to-compare values.