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Poyen School |
| Number and Operations |
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Strategies to count
The learner will be able to use efficient strategies to count a given set of objects in groups of 2's and 5's to 100 and groups of 3's to 30.
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Composition/decomposition
The learner will be able to represent a whole number in multiple ways using composition and decomposition. Example: A colleciton of 80 blocks. COMPOSITION: 80 can be made by combining 70 and 60; 60 and 20. DECOMPOSITION: 80 can be separated inot 50 and 30; 40 and 40.
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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 to 100 with and without appropriate technology.
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Represent numbers to 100
The learner will be able to represent numbers to 100 in various forms. Example: Arrange tally marks, combinations of rods and units.
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Models for place value
The learner will be able to use multiple models to represent understanding of place value including hundreds. Example: 127 is 1 flat and 2 ten rods and 7 units. ________ hundreds _________tens ________ones. By addition it is 100 + 20 + 7.
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Relative position using ordinal numbers
The learner will be able to determine relative position using ordinal numbers (first through eighteenth).
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Compare numbers
The learner will be able to compare 2 numbers, less than 100, using numerals and =,<,> with and without appropriate technology.
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Relative position of numbers
The learner will be able to communicate the relative position of any number less than 100 ( 27 is greater than 25 and less than 30).
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Represent fractions
The learner will be able to represent fractions (halves, thirds, fourths, sixths, and eights) using words, numerals, and physical models. Example: Identify and illustrate the parts of a whole.
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Meaning of fractional parts
The learner will be able to utilize models to recognize that a fractional part can mean different amounts depending on the original quantity.
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Count forward and backward
The learner will be able to count on (forward) and back (backward) on a number line and a 100's chart starting at any whole number up to 100.
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Commutative property
The learner will be able to model and use the commutative property for addition. Example: 3 + 2 is the same as (=) 2 + 3.
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Associative property
The learner will be able to develop and understanding of the associative property of addition using objects.
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Apply number theory
The learner will be able to apply number theory. 1. Determine if a 2-digit number is odd or even. 2. Use the terms sum, addends, and difference in an appropriate context. (2 + 3 = 5; 2 and 3 are addends; 5 is a sum).
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Meaning of addition and subtraction
The learner will be able to demonstrate various meanings of addition and subtraction. See Appendix 2004 Arkansas Mathematics Frameworks for examples.
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Addition and subtraction properties
The learner will be able to demonstrate various addition and subtraction relationships (property) to solve problems in contextual situations involving whole numbers.
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Division
The learner will be able to model, represent and explain division as sharing equally and repeated subtraction in contextual situations. Example: Mrs. Lopez bought a dozen pencils for her four children. She gave each child the same number of pencils. How many pencils did each child receive.
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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. Identify property. (adding zero).
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Strategies for add/subtract 2-digit
The learner will be able to demonstrate multiple strategies for adding or subtracting 2-digit whole numbers. 1. Coompatible numbers. 2. Compensatory numbers. 3. Informal use of commutative and associative properties of addition.
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Computational fluency
The learner will be able to demonstrate computational fluency (accuracy, efficiency and flexibility) in addition facts with addends through 9 and corresponding subtractions. Example: (9 + 9 = 18; 18 - 9 = 9) and and subtract multiples of ten.
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Solve problems by variety of methods
The learner will be able to solve problems using a variety of methods and tools (e.g., objects, mental computation, paper and pencil, and with and without appropriate technology).
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Estimation strategies
The learner will be able to use estimation strategies to solve addition and subtraction problems and judge the reasonableness of the answer.
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| Algebraic Concepts |
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Classify objects by multiple attributes
The learner will be able to sort, classify, and label objects by three or more attributes in more than one way.
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Describe repeating patterns
The learner will be able to describe repeating and growing patterns in the environment.
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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 100, _____, 69, _____, ____.
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Skip counting patterns
The learner will be able to identify, describe and extend skip counting patterns from any given number.
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Addition/subtraction by multiples of 10
The learner will be able to identify a number that is more or less than any whole number less than 100 using multiples of ten. Example: 30 more than 26 is 56.
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Create and extend patterns
The learner will be able to recognize, describe, extend, and create repeating and growing patterns using a wide variety of materials to solve problems.
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Solve contextual problems: two-digit
The learner will be able to select and/or write number sentences to find the unknown in problem-solving contexts involving two-digit addition and subtraction using appropriate labels. Example: Mrs. Cole's class has 22 students. Ms. River's class joined them on a field trip. When everyone got on the bus, there were 45 children. How many students are in Ms. River's class.
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Equalities and inequalities
The learner will be able to express mathematical relationships using equalities and inequalities (<,>,=, not equal sign) Example: 4 + 6 = 7 + 3; 3 + 5 < 4 + 5; 4 + 6 (not equal) 7 + 5. See 2004 Arkansas Mathematics frameworks for use of symbols.
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Missing value symbols
The learner will be able to recognize that symbols in addition or subtraction equations represent a missing value that will make the statement true. See 2004 Arkansas Mathematics Frameworks for examples.
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Use chart or table
The learner will be able to use chart or table to organize information and to understand relationships. See 2004 Arkansas Mathematics Frameworks for example.
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Quantitative change
The learner will be able to interpret and compare quantitative change. Example: Changes in temperature, age, height, etc. "The temperature in the morning was 75 degrees. This afternoon is 85 degrees. What is the difference in temperature?".
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| Geometry |
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3 - D solids
The learner will be able to identify, name, sort and describe 3-D solids (cube, sphere, rectangular prism, cone, and cylinder) according to the shapes of faces.
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Match 3 - D to 2-D faces
The learner will be able to match three-dimensional objects to their two-dimensional faces.
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2 - D figures
The learner will be able to identify, classify, and describe 2 - D geometric figures (rectangle (including square), triangle, and circle) using concrete objects, drawings, and computer graphics.
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Lines of symmetry
The learner will be able to use lines of symmetry to demonstrate and describe congruent figures within a 2 - D figure. Example: Letter, shapes, environmental print and polygons.
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Motion of a transformation
The learner will be able to demonstrate the motion of a single transformation.
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Directional words: rows and columns
The learner will be able to extend the use of directional words to include rows and columns. Example: A rectangle has 3 row and 4 columns. See 2004 Arkansas Mathematics Frameworks for additional examples.
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Replicate geometric design
The learner will be able to replicate a simple geometric design from a briefly displayed example or from a description.
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Combining and subdividing figures
The learner will be able to create new figures by combining and subdividing models of existing figures. See 2004 Arkansas Mathematics Frameworks for example.
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| Measurement |
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Months, days, year
The learner will be able to recognize that there are 12 months in a year and that each month has a specific number of days.
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Hours in day
The learner will be able to recognize that there are 24 hours in a day.
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Value of money
The learner will be able to state the value of all coins and a dollar.
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Compare coin values
The learner will be able to compare the value of all coins.
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Compare temperatures
The learner will be able to compare temperatures using the Fahrenheit scale on a thermometer.
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Simple measurement comparisons
The learner will be able to make simple comparisons within units of like dimension (units of length, mass/weight, and capacity). Example: An inch is shorter than a foot. A pound is more than an ounce. A cup is less than a pint.
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Elapsed time with calendar
The learner will be able to use a calendar to determine elapsed time involving a time period within a given month.
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Tell time
The learner will be able to tell time to the nearest 5-minute interval.
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Elapsed time: contextual situations
The learner will be able to determine elapsed time in contextual situations in hour increments regardless of starting time. END TIME UNKNOWN: Example: Lunch began at 11:15 and lasted one hour. When was lunch over? ELAPSED HOURS UNKNOWN: Example: John went to Tim's house at 3:20. He left at 5:20. How long did he stay? BEGINNING TIME UNKNOWN: Example: Mary watch a movie for 2 hours. The movie ended at 8:30. When did the movie begin.
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Value of combinations of coins
The learner will be able to determine the value of a combination of coins up to the dollar.
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Demonstrate the value of money
The learner will be able to demonstrate a given value of money up to $1.00 using a variety of coin combinations.
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Value of money: coin combinations
The learner will be able to demonstrate a given value of money up to $1.00 using the fewest coins possible.
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Money symbols
The learner will be able to represent and write the value of money using the cent sign and in decimal form when using the dollar sign.
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