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Poyen School |
| Number and Operations |
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Count with understanding
The learner will be able to count with understanding, explaining that each object should be counted only once and that placement of objects does not change the total amount.
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Group physical objects
The learner will be able to group physical objects to represent a whole number less than 10 in at least two ways using composition and decomposition. Composition: A group of 5 cubes can be made by combining 2 red and 3 blue or 4 red and 1 blue. Decomposition: 5 cubes can be separated inot 2 red and 3 green or 1 red and 4 green.
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Connect models to quantities
The learner will be able to connect various physical models and representations to the quantities they represent using number names, numerals and number words up to 10 with and without appropriate technology.
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Represent numbers to 10
The learner will be able to represent numbers to 10 in various forms. Ex. 1 rod, 1 bundle of 10, tally marks, 10 units.
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Recognize number sets without counting
The learner will be able to recognize the number or quantity in sets up to 5 without counting, regardless of arrangement.
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Estimate and judge reasonableness
The learner will be able to estimate quantities fewer than or equal to 10 and judge the reasonableness of the estimate.
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Determine relative position
The learner will be able to orally determine relative position using ordinal numbers (first through tenth).
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Compare 2 numbers
The learner will be able to compare 2 numbers with less than 6 in each set, using objects and pictures, with and without appropriate technology. Ex. A: (XXX) B: (OO) Set A has more elements than set B.
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Compare and order numbers
The learner will be able to compare and order numbers less than twenty using terms more than, same amount as, less than.
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Consecutively order sets
The learner will be able to consecutively order sets of physical objects from 1 to 10.
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Use models to represent fractions
The learner will be able to use physical models and drawings to represent commonly used fractions such as halves, thirds, and fourths in relation to the whole.
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Count from any number
The learner will be able to count on (forward) and count back (backward) using physical models or a number line starting at any whole number between zero and twenty. Ex. Start at six and count forward to ten. Start at eight and count backward to five.
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Demonstrate meanings of add & subtra
The learner will be able to use physical and pictorial models to demonstrate various meanings of addition and subtraction. See Appendix of Arkansas Mathematics Frameworks (2004) for examples.
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Relationship between add and subtract
The learner will be able to demonstrate the relationship between addition and subtraction with informal language and models in contextual situations involving whole numbers.
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Partition objects into groups
The learner will be able to partition or share a small set of objects into groups of equal size e.g., sharing 6 pencils equally among 3 children.
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Basic addition facts
The learner will be able to develop strategies for basic addition facts: 1. Counting all. 2. Counting on. 3. One more, two more.
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Basic subtraction facts
The learner will be able to develop strategies for basic subtraction facts: 1. Counting back. 2. One less, two less.
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Solve problems using variety of methods
The learner will be able to solve problems by using a variety of methods and tools (e.g., objects and/or illustrations, with and without appropriate technology and mental computations).
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| Algebraic Concepts |
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ID how objecs are alike or different
The learner will be able to identify how objects are alike or different.
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Use attributes to sort objects
The learner will be able to sort objects into groups in one or more ways and identify which attribute was used to sort.
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ID Patterns
The learner will be able to identify patterns in the environment.
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Use patterns to count
The learner will be able to use patterns to rote count up to 100 and count backward from 20 to 0.
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Skip-counting patterns
The learner will be able to identify, describe, and extend skip-counting patterns by 5's and 10's.
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Repeating patterns
The learner will be able to duplicate, extend, create and describe repeating patterns using a wide variety of materials.
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Record solutions of problems
The learner will be able to use drawings and labels to record solutions of addition and subtraction problems with answers less than or equal to 10.
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Sets of objects
The learner will be able to identify, create, compare, and describe sets of objects as more, less or equal.
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Qualitative change
The learner will be able to recognize qualitative change. Ex. Changes in seasons, temperature, height, etc. "Today is colder/warmer than yesterday.".
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| Geometry |
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3 - D Solids
The learner will be able to sort and describe 3-D solids (sphere, cube, cone, cylinder) by investigating their physical characteristics.
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2-D within 3 - D
The learner will be able to locate the presence of two-dimensional figures within three-dimensional objects in the environment.
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Geometric Figures
The learner will be able to sort, describe, and make goemetric figures (triangle, rectangle (including square), and circle) by investigating their physical characteristics independent of position or size.
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