Ohio Resource Center

# Principles and Standards for School Mathematics

 Results 1 - 10 of 14: Return to Mathematics Goals National Mathematics Goal:Develop and evaluate mathematical arguments and proofs
View Results: 1-10 | 11-14
1
Circle Packing 2: Soda Rack
ORC# 7610
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this second lesson (in a unit of three), students consider the arrangement of soda cans placed in a bin with two vertical sides, discover an interesting result, and prove that the result is true. This lesson utilizes an on-site applet....
2
Time-Axis Fallacy and Bayes' Theorem
ORC# 72
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: Most students understand that the probability of an event occurring can be influenced by another event that has already occurred. However, many students do not understand that the probability of an event occurring can actually be dependent on an event that occurred later....
3
Hooked on Problem Solving
ORC# 5801
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: Students use each of the digits 1&ndash;9 exactly once to form valid addition problems consisting of two three-digit addends and a three-digit sum and look for patterns in the solutions. Guiding questions, summary questions, assessment tasks, and extensions are included....
4
Looking Through the Algebraic Lens, Grades 3-5
ORC# 236
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This lesson has two parts, both of which foster algebraic thinking across content strands. Part I, from the number and operations strand, has students explore the addition and subtraction of odd and even numbers....
5
Understanding Ratios of Areas of Inscribed Figures Using Interactive Diagrams
ORC# 1474
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This NCTM E-Example features four student tasks along with teacher support material about using interactive figures with students to explore the connections between algebra and geometry. This site features an applet that students can use to explore an interesting quantitative relationship between the area of a polygon and the area of an inscribed figure formed by...
6
Venn Diagrams and Logic: A Visual Approach to Deductive Reasoning
ORC# 1168
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This lesson focuses on using Venn diagrams to explore direct, indirect, and transitive reasoning. For each activity, students construct arguments based on Venn diagrams, and conversely, create Venn diagrams for a particular argument....
7
NAEP Assessment Item, Grade 8: Compare Areas of Two Shapes
ORC# 1795
Resource Information
Resource Type: Assessments
Discipline: Mathematics
Professional Commentary: Students are asked to determine the relative areas of a square and a right triangle whose heights are the same but in which the base of the triangle is twice as long as the side of the square; students must explain their reasoning in words or pictures. This constructed-response question is a sample test item used...
8
NAEP Assessment Item, Grade 4: Use Probabilistic Reasoning
ORC# 1684
Resource Information
Resource Type: Assessments
Discipline: Mathematics
Professional Commentary: This item asks students to make a probabilistic prediction involving proportional reasoning. They must then explain that prediction....
9
Pythagorean Theorem
ORC# 9802
Resource Information
Resource Type: Content Supports -- Reference materials
Discipline: Mathematics