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Poyen School |
| Number and Operations |
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Strategies for counting
The learner will be able to use efficient strategies to count a given set of objects in groups of 10 up to 100.
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Represent whole numbers in multiple ways
The learner will be able to represent a whole number less than 15 in all possible ways using composition and decomposition Composition: 10 can be made by combining 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5. Decoomposition: 10 can be separated into 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5.
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Connect physical to quantity
The learner will be able to connect various physical models and representations to the quantities they represent using number names, numerals, and number words to 20 with and without appropriate technology.
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Represent numbers in various forms
The learner will be able to represent numbers to 20 in various forms. Ex. 2 rods, 2 bundles of 10, tally marks, a rod and 10 units.
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Models of place value
The learner will be able to use multiple models to develop understandings of place value including tens and ones. Ex. Pictures of base 10 blocks to show 23 will be ____ tens and _____ ones = ____.
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Recognize number sets without counting
The learner will be able to recognize the number or quantity of sets up to 10 without counting, regardless of arrangement.
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Estimate/Reasonableness of solution
The learner will be able to estimate the results of whole number addition and subtraction problems and judge the reasonableness.
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Relative position using ordinal numbers
The learner will be able to determine relative position using ordinal numbers (first through twelfth).
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Compare numbers
The learner will be able to compare 2 numbers, with less than 12 in each set, using objects and pictures with and without appropriate technology. Ex. Set A (XXXXXX) Set B (OOO).
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Use mathematical language to compare
The learner will be able to compare 2 numbers, less than 100 using mathematical language of greater than, equal to (same amount as), less than.
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Relative position of a number
The learner will be able to communicate the relative position of any number less than 20 (18 is less than 20 and greater than 12).
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Represent common fractions
The learner will be able to represent commonly used fractions using words and physical models for halves, thirds and fourths. Ex. 1. Recognize that fractions are represented by equal parts of a whole. 2. Identify and illustrate parts of sets of objects.
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Count forward or backward
The learner will be able to count on (forward) and back (backward) using physical models or a number line starting at any whole number up to fifty.
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Commutative and identify properties
The learner will be able to develop and understanding of the commutative (turn around facts) and identity (+0) properties of addition using objects.
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Apply number theory
The learner will be able to apply number theory by: 1. Determine if a 1-digit number is odd or even. 2. Use the terms sum and difference in appropriate context. 3. Use conventional symbols (+, -, =) to represent the operations of addition and subtraction.
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Demonstrate meaning of add and subtract
The learner will be able to use physical, pictorial and symbolic models to demonstrate various meanings of addition and subtraction. See Appendix 2004 Arkansas Mathematics Frameworks for examples.
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Solve contextual problems by + or -
The learner will be able to identify and use relationships between addition and subtraction to solve problems in contextual situations involving whole numbers.
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Represent division as sharing equally
The learner will be able to model and represent division as sharing equally in contextual situations. Ex. Sharing cookies equally among four 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 4. Doubles 5. Doubles plus one or minus one 6. Make ten 7. Using ten frames 8. Identity Property (adding zero).
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Basic subtraction facts
The learner will be able to develop strategies for basic subtraction facts. 1. relating to addition (Ex. think of 7 - 3 = __ as "3 + ____ = 7") 2. One less, two less 3. All but one (Ex. 9 - 8 , 6 - 5) 4. Using ten frames of the answers.
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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, mental computations, paper and pencil and with and without appropriate technology).
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| Algebraic Concepts |
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Sort & classify objects by attribute
The learner will be able to sort and classify objects by one or two attributes in more than one way.
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Patterns in the environment
The learner will be able to identify and describe patterns in the environment.
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Use patterns to count
The learner will be able to use patterns to count forward and backward when given a number less than or equal to 50.
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Skip-counting patterns
The learner will be able to identify, describe and extend skip-counting patterns by 2's.
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Identify one more, one less
The learner will be able to identify a number that is one more or one less than any whole number less than 100.
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Create and extend patterns
The learner will be able to recognize, extend and create simple repeating and growing patterns using a wide variety of materials and describe them using words, pictures or symbols.
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Use and write number sentences
The learner will be able to select and/or write number sentences to find the unknown in problem-solving contexts involving single-digit addition and subtraction using appropriate labels. Ex. Bob had 5 baseball cards. His friend gave him some more. Now he has seven cards. How many cards did his friend give him.
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Meaning of =
The learner will be able to recognize that "=" indicates a relationship in which the quantities on each side of an equation are equal. Ex. 3 + 2 = 4 + 1.
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Symbols represent missing value
The learner will be able to recognize that symbols such as square, triangle and diamond (use actual symbol) in an addition or subtraction equation, represent a missing value that will make the statement true Ex. square + 3 = 6 ; 5 + 7 = triangle ; 4 = 5 - diamond.
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Table or chart to organize information
The learner will be able to explore the use of a chart or table to organize information and to understand relationships. See 2004 Arkansas Mathematics Frameworks for an example of a table.
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Interpret qualitative change
The learner will be able to interpret qualitative change. Example: Changes in seasons, temperature, height, etc. "Today is colder than yesterday, so I need to wear a jacket.".
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| Geometry |
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3 - D solids
The learner will be able to compare 3 - D solids (sphere, cube, rectangular prism, cone, and cylinder) by investigating their physical characteristics.
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3 - D in the environment
The learner will be able to investigate the presence of three-dimensional objects in the environment.
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Geometric figures
The learner will be able to compare and make geometric figures (triangle, rectangle (including square), and circle) by investigating their physical charateristics independent of position or size. See 2004 Arkansas Mathematics Frameworks for pictorial examples.
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Line of symmetry
The learner will be able to identify a line or lines of symmetry in two-dimensional figures and justify by folding. See 2004 Arkansas Mathematics Frameworks for example.
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Slides, flips, turns
The learner will be able to manipulate two-dimensional figures through slides, flips, and turns.
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Location words
The learner will be able to extend the use of location words to include distance (near, far, close to) and direction (left and right).
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Replicate 2-dimensional figures
The learner will be able to replicate a simple two-dimensional figure from a briefly displayed example or from a description.
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Create new figures from existing
The learner will be able to recognize that new figures can by created by combining and subdividing models of existing figures. See 2004 Arkansas Mathematics frameworks for example.
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| Measurement |
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Days in week and month
The learner will be able to recognize the number of days in a week and the number of days in a month using a calendar.
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Months of year
The learner will be able to orally sequence the months of the year.
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Comparison of units of time
The learner will be able to recognize that an hour is longer than a minute and a minute is longer than a second.
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Attributes of money
The learner will be able to recognize and identify attributes of penny, nickel, dime, quarter, and dollar bill.
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Values of money
The learner will be able to state the value of a penny, nickel, dime, and quarter and dollar bill.
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Compare the value of coins
The learner will be able to compare the value of coins (pennies, nickels, dimes and quarters).
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Use thermometer to distinguish hot/cold
The learner will be able to distinguish between hot and cold temperatures on a thermometer. Ex. The higher the mercury level the warmer the temperature.
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Attributes & tools of measurement
The learner will be able to recognize the attributes of measurement (length, weight, capacity and mass) and identify appropriate tools used to measure each attribute.
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Calendar to determine elapsed time
The learner will be able to use a calendar to determine elapsed time involving a time period of one week.
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Tell time
The learner will be able to tell time to the half-hour.
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Elapsed time: Contextual situations
The learner will be able to determine elapsed time (to the hour) in contextual situations. END TIME UNKNOWN: Example: Lunch began at 11:00 and lasted 1 hour. When was lunch over? ELAPSED HOURS UNKNOWN: Example: John went to Tim's house at 3:00. He left at 5:00. How long did he stay? BEGINNING TIME UNKNOWN: Example: Mary watched a movie for 2 hours. The movie ended at 8:00. When did the movie begin.
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Value of a collection of coins
The learner will be able to determine the value of a small collection of coins (with a total value up to one dollar) using 1 or 2 different types of coins, including pennies, nickels, dimes and quarters.
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Write the value of money using cent sign
The learner will be able to represent and write the value of money using the cent sign.
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