Topic+Two+2.0

= Topic Two: Compare Numbers 0 to 5 = 1. Makes sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ~ = Desired Results = ||
 * __**Transfer:**__
 * **__Established Goals:__**
 * **K.CC.6**: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.
 * **K.CC.7**: Compare two numbers between 1 and 10 presented as written numerals.

__ **Student "I Can" Statements:** __ > __ **Prerequisite Standards:** __
 * I can use matching or counting to tell if a group of objects in one group is bigger, smaller or the same as a group of objects in another group.
 * I can compare two written numbers between 1 and 10.
 * **K.CC.3**: Write numbers from 0 to 20. Represent a number of objects with a written numeral 0–20 (with 0 representing a count of no objects).
 * **K.CC.4****a:** When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.
 * **K.CC.4b**: Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.
 * **K.CC.4c**: Understand that each successive number name refers to a quantity that is one larger
 * **K.CC.5**: Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects. ||
 * __**Big Ideas:**__

Numbers can be used for different purposes, and numbers can be classified and represented in different ways.
 * Number Uses, Classification, and Representation**

The set of real numbers is infinite and ordered. Whole numbers, integers, and fractions are real numbers. Each real number can be associated with a unique point on the number line.
 * Numbers and the Number Line **

Numbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in different ways.
 * Comparison and Relationships **

Mathematics content and practices can be applied to solve problems. || __**Essential Questions:**__
 * Practices, Processes, and Proficiencies**


 * How can numbers from 0 to 5 be compared and ordered? ||
 * __**Students will know...**__
 * Two groups of objects are equal in number if they can be directly matched one-to-one, with no extras in either group
 * Two groups of objects can be directly compared using a matching process.
 * Two sets of objects can be compared by number using counting strategies, which is a more efficient method than matching.
 * Two numbers can be compared by using the counting number sequence. A number represents a quantity greater than another quantity if it is later in the sequence.
 * Mathematicians use math they know to show and solve problems.

__**Vocabulary:**__

compare, equal, group, same number as, greater than, less than, model

|| __**Students will be skilled at...**__
 * comparing groups to see whether they are equal by matching
 * identifying whether one group is greater or less in number than another group
 * comparing groups by counting
 * comparing numbers
 * using objects, drawings, and numbers to compare numbers ||
 * ~ = Assessment Evidence = ||
 * __**Performance Assessment:**__ || __**Other Evidence:**__


 * Formative Assessment:**

||
 * ~ = Learning Plan = ||
 * __**Learning Activities:**__


 * 2-1 Equal Groups**: Compare groups to see whether they are equal by matching


 * 2-2 Greater Than**: Tell whether one group is greater in number than another group.


 * 2-3 Less Than**: Tell whether one group is less in number than another group


 * 2-4 Compare Groups to 5 by Counting**: Compare groups by counting


 * 2-5 Compare Numbers to 5**: Compare numbers


 * 2-6 Model with Math**: Use objects, drawings, and numbers to compare numbers. ||
 * __**Resources:**__


 * Problem of the Month:**

Counting & Cardinality

 *  digging dinosaurs
 *  once upon a time
 *  party time (See a [|video of a lesson] based on this POM. )
 *  pick a pocket
 *  through the grapevine


 * [|Courtney's Collection K.CC.3]
 * [|The Wheel Shop K.CC.4]
 * [|Pick a Pocket K.CC.6]


 * Centers:**


 * [|Magic Fan K.CC.3]
 * [|Representing Numbers in Three Ways K.CC.3]
 * [|Numeral Handwriting Sheets 1 to 10 K.CC.3]
 * [|Ten Frame Dice Match K.CC.4]
 * [|Ten Frame Flash K.CC.4]
 * [|Ten Frame Numeral Match K.CC.4]
 * [|Greater Than/Less Than K.CC.6]


 * SmartBoard Resources/Games:**


 * [|Gingerbread Men]
 * [|Skip Counting]
 * [|Odd/Even Sort] ||