Author:
Laura Villarreal
Subject:
Elementary Education
Material Type:
Module
Level:
Academic Lower Division
Tags:
math 1350, math-1350
License:
Creative Commons Attribution
Language:
English
Media Formats:
Video

Course Inventories

Module 1- Mathematics for Teachers: Real Number System

Module 1- Mathematics for Teachers: Real Number System

Overview

This module briefly reviews the vocabulary for the real number system using using the frayer model and covers basic vocabulary for sets and venn diagrasms. Includes an activity on venn diagram designed for elementary grades. This is module 1 of a series of modules created for a course for preservice elementary teachers. This module includes online practice problems and quizzes in MyOpenMath. See the intro course module for more information.

Intro to Real Number System -

This unit is designed to review the vocabulary of the Real Number system using the frayer model which is a tool for elementary and middle school teachers.

Part one: To begin this unit, you will create two foldables that will be inserted into your interactive notebook.  When complete, you will upload a picture of your notebook pages.

Class activity: In this activity you will fill out the graphic organizer on the Real Number system and then define key vocabulary terms using the Frayer Model. When complete, you will glue these foldables into your interactive notebook and upload a picture of your completed work.

Supplies needed: For this lesson, you will need two sheets of white paper, glue, scissors and color pencils in order to create two foldables for our interactive notebook. 

You will need six frayer model grids, one for each vocabulary word. You can draw each one about the size of a 3x5 inch index card.

frayer model

You will also need one copy of the following graphic organizer. It should be drawn to fit inside the composition notebook, which is about the size of half a sheet of paper.

real number system graphic organizer

You may choose to download and print the copies attached.

Watch the video below in order to complete the assignment.

Creating a foldable for Real Number System

Part two: Watch the following video for instructions on how to incude the foldable in your composition notebook.

Part two graphic organizer activity

Frayer Model Copyright 2020 Vanderbilt University. All rights reserved.

Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (Links to an external site.).  https://iris.peabody.vanderbilt.edu/module/sec-rdng/cresource/q2/p07/ (Links to an external site.)

Sets and Venn diagrams

This unit introduces the basic ideas of a set but does not place great empasis on formal set theory. Neither does the current elementary school mathematics curriculum.

This unit introduces the basic ideas of a set but does not place great empasis on formal set theory.

Vocabulary:

  • set
  • braces
  • elements
  • empty set
  • finite set
  • infinite set
  • complement of a set
  • venn diagram
  • universal set
  • subset

 

 

Class activity part one: Venn diagram people card sort

The worksheets in this activity were used with permission: https://www.2nd-grade-math-salamanders.com/venn-diagram-worksheets.html

Goal:  The sorting activity provides a hands-on opportunity for students to explore sorting and classifying objects while reviewing basic set vocabulary and venn diagrams.. While the handout is designated for second grade, the vocabulary used while presenting the material can be elevated.

Vocabulary: venn diagram, universal set, union, intersection, complement of a set

Class activity part one: Venn diagram people card sort

A Venn diagram is a visual way of representing information concerning sets of data. This traditional diagram consists of two or more overlapping circles to show the relation between several sets of information and demonstrate which sections of each belong to two or more categories.

Complete the two card sort activities. The video provides instructions on how to complete the assignment.

Supplies needed: 

Copies of the two venn diagrams. You can either print out the copies or you can hand write the information following the format on the sheets. You will need scissors, glue and color pencils.

Part one:

  1. Download the file and print.
  2. Before cutting the rectangular region of the Venn diagram, decide the placement of the cutout on your composition notebook page.  Leave a one-half inch strip on one edge that will be used to glue the paper to the notebook page.
  3. Glue the cutouts of the people in the appropriate regions.
  4. When finished, glue this activity on a page in your composition notebookpicture of venn diagram with peoples faces
    Venn diagram people card sort activity

    Used with permission: https://www.2nd-grade-math-salamanders.com/venn-diagram-worksheets.html

 

Class activity part two: Venn diagram number card sort

The worksheets used in this activity were used with permission from the author: https://www.2nd-grade-math-salamanders.com/venn-diagram-worksheets.html (Links to an external site.)

 

This worksheet is a continuation of the previous card sort with people. It may be used as independent practice.

This sorting activity is a hands-on activity to explore the relationship between sets of numbers:

  1. Download the file and print.
  2. Color the strip of numbers before cutting out the numbers.
  3. Before cutting the rectangular region of the venn diagram, decide the placement of the cutout on your composition notebook page.  Leave a one-half inch strip on one edge that will be used to glue the paper to the notebook page.
  4. Glue the numbers in the appropriate regions.
  5. When finished, glue this activity on a page in your composition notebook.

The video below provides step-by-step instructions on how to complete this assignment.

venn diagram for number sort

Venn diagram number sort activity video instructions