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Standard 2.3 Mathematics

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Mathematics does not always have to be thought of as solving gruesome algebraic problems and calculations. Math can be introduced into the classroom environment through numerous ways- literature, technology, hands on learning and independent learning centers. Students are using mathematics every day, whether they realize it or not. When students count their lunch money, follow time schedules and measure their shoe size, they are using math.

Below you will find several ways to integrate mathematics in an engaging and interactive ways. These artifacts also connect with ACEI Standard 2.3 by demonstrating then understanding and use of major concepts through engaging ways.

 

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USA- ACEI- Association for Childhood Education International Elementary Education Standards
Domain: CURRICULUM
Standard: 2.3 Mathematics—Candidates know, understand, and use the major concepts and procedures that define number and operations, algebra, geometry, measurement, and data analysis and probability. In doing so they consistently engage problem solving, reasoning and proof, communication, connections, and representation;

Common Core Connections-Literature

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Using literature in the classroom is a great tool to engage children. Kim Kennedy says "Integrating literature in math class is a natural way to address literacy in math, as addressed by the Common Core State Standards, into your math lessons. It is also a way to present mathematics concepts in words rather than in numbers, allowing students with math anxiety to feel more comfortable. Children’s literature is a way of presenting a mathematical concept in a way that is meaningful to students. There are a wide variety of children's books, which have themes or plots, which lend themselves to mathematical investigations." My first book is called The Grizzly Gazette by Stuart J. Murphy and is at the 6th grade level. My second book is called Anno's Magic Seeds by Mitsumasa Anno and is at the 3rd grade level. The appropriate Common Core State Standards are attached.

 

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NY- New York State Common Core Standards (2011)
Subject: Mathematics
Grade: Grade 3
Domain: Operations and Algebraic Thinking 3.OA
Area: Multiply and divide within 100.
Standard:
7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Area: Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Standard:
8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.3
Grade: Grade 4
Domain: Operations and Algebraic Thinking 4.OA
Area: Generate and analyze patterns.
Standard:
5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Grade: Grade 6
Domain: Ratios and Proportional Relationships 6.RP
Area: Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Indicator:
c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
File Attachments:
  1. Math Book Share Math Book Share
    Word Document
  2. Math Book Share Math Book Share
    PDF File

Common Core Connections-iPad/Android apps

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In today’s modern world of technology, iPads are increasingly becoming more commonly used for learning in the classroom. There are many apps available on the iPad to help students build on their math skills. To extend student learning beyond the classroom and help parents decipher which apps are useful, I have attached a handout for parents and a brochure informing them of high quality math apps.

 

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NY- New York State Common Core Standards (2011)
Subject: Mathematics
Grade: Grade 1
Domain: Operations and Algebraic Thinking 1.OA
Area: Represent and solve problems involving addition and subtraction.
Standard:
1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.2
Area: Add and subtract within 20.
Standard:
6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Domain: Number and Operations in Base Ten 1.NBT
Area: Understand place value.
Standard:
2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
Indicator:
a. 10 can be thought of as a bundle of ten ones — called a “ten.”
Indicator:
b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
Indicator:
c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).
Domain: Measurement and Data 1.MD
Area: Tell and write time and money.
Standard:
3. Tell and write time in hours and half-hours using analog and digital clocks. Recognize and identify coins, their names, and their value.
Domain: Geometry 1.G
Area: Reason with shapes and their attributes.
Standard:
1. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
File Attachments:
  1. Math App Brochure Math App Brochure
    Word Document
  2. Math App Brochure Math App Brochure
    PDF File
  3. Math App Handout Math App Handout
    Word Document
  4. Math App Handout Math App Handout
    PDF File

Common Core Connections-Lesson Plan

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The mathematics lesson below is for 1st grade students. It begins with the teacher reading a story called Try it with Triangles by Zelda King. The students will further their understanding about shapes by combining two shapes to make one. With the use of Geoboards, students will compose and decompose plane figures.

This lesson plan is attached below along with the the Common Core State Standards it meets. This lesson also corresponds with the ACEI Standard 2.3 because it shows my understanding of measurement and engages problem solving and communication.

 

Credit: Google Images

NY- New York State Common Core Standards (2011)
Subject: Mathematics
Grade: Grade 1
Domain: Geometry 1.G
Area: Reason with shapes and their attributes.
Standard:
1. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
Standard:
2. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.4
File Attachments:
  1. Math Lesson Plan Math Lesson Plan
    Word Document
  2. Math Lesson Plan Math Lesson Plan
    PDF File

Common Core Connections-Independent Learning Center

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Using centers in the classroom allows students to explore and practice skills at their own pace. Centers do not take the place of teaching; they should supplement, expand, or review. Centers are not tested, but rather give students independent practice of skills. In addition, math centers can be a motivational way for students to review math concepts or practice facts. The math learning center that I created is for 1st graders who are working with measurement. The center includes materials such as a book, piece of paper, marker, notepad, scissors and chap stick. The students are asked to order 3 of these objects from smallest to largest, then to measure each item with a ruler and with a paperclip. The math learning center is attached along with the Common Core State Standards it relates to.

 

NY- New York State Common Core Standards (2011)
Subject: Mathematics
Grade: Grade 1
Domain: Measurement and Data 1.MD
Area: Measure lengths indirectly and by iterating length units.
Standard:
1. Order three objects by length; compare the lengths of two objects indirectly by using a third object.
Standard:
2. Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.
File Attachments:
  1. Math Learning Center Math Learning Center
    Word Document
  2. Math Learning Center Math Learning Center
    PDF File
Author: Hannah Piron
Last modified: 12/11/2012 6:20 PM (EST)