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Reasoning and Proof

Elementary  /  Math  /  Reasoning and Proof

In this topic, students and teachers will find information about:

 

  • Identifying patterns.
  • Making conjectures and finding counterexamples for statements.
  • Using deductive reasoning to reach valid conclusions.
  • Writing proofs involving segment and angle theorems.
  • Determining truth values of negations, conjunctions, and disjunctions, and representing them using Venn Diagrams.
  • Analyzing and writing if-then statements.

There are 5-30 primary school level questions, 40-65 elementary school level questions, 230-255 middle school level questions, and 270-295 high school questions about Reasoning and Proof in Castle Learning. These multiple choice, constructed response (extended response/essay), fill-in-the-blank, and multi-option questions can be used for review, homework, assessments and more.

VIEW COMPLETE CONTENT LIST HERE

 

Bloom’s Cognitive Taxonomy levels addressed in Reasoning and Proof:

Question Attribute Elementary School Middle School High School
Bloom’s Cognitive 1 – Remember cross.png check.png check.png
Bloom’s Cognitive 2 – Understand cross.png check.png check.png
Bloom’s Cognitive 3 – Apply check.png check.png check.png
Bloom’s Cognitive 4 – Analyze check.png check.png check.png

Bloom’s Cognitive 5 – Evaluate

check.png check.png check.png

Bloom’s Cognitive 6 – Create

 cross.png  cross.png  check.png

 

 

Bloom’s Knowledge Taxonomy levels addressed in Reasoning and Proof:

Question Attribute Elementary School Middle School High School
Bloom’s Knowledge 1 – Factual cross.png check.png check.png
Bloom’s Knowledge 2 – Conceptual check.png check.png check.png
Bloom’s Knowledge 3 – Procedural check.png check.png check.png
Bloom’s Knowledge 4 – Meta Congnitive cross.png cross.png check.png

 

 

Webb’s Depth of Knowledge Taxonomy levels addressed in Reasoning and Proof:

Question Attribute Elementary School Middle School High School
Webb’s Depth of Knowledge 1 – Recall cross.png check.png check.png
Webb’s Depth of Knowledge 2 – Skill/Concept check.png check.png check.png
Webb’s Depth of Knowledge 3 – Strategic Thinking check.png check.png check.png
Webb’s Depth of Knowledge 4 – Extended Thinking cross.png cross.png check.png
Sample Questions from Reasoning and Proof:
Reasoning-and-Proof_elementary

Elementary School Level Reasoning and Proof Sample Question – Teacher’s View

Reasoning-and-Proof_elementary
Reasoning-and-Proof_middle

Middle School Level Reasoning and Proof Sample Question – Teacher’s View

Reasoning-and-Proof_middle
Reasoning-and-Proof_high

High School Level Reasoning and Proof Sample Question – Teacher’s View

Reasoning-and-Proof_high