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Poyen School |
| Number and Operations |
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Fractions/Ratios/Percents
The learner will be able to use models and visual representations to develop concepts of the following: FRACTIONS: 1. Parts of unit wholes. 2. Parts of a collection. 3. Locations on number lines 4. Locations on ruler (benchmark fractions) 5. Divisions of whole numbers. RATIOS: 1. Part to part (2 boys to 3 girls) 2. Part to whole (2 boys to 5 people) PERCENTS: 1. Part to 100.
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Decimal place value
The learner will be able to develop an understanding of decimal place value using models.
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Fractions/Decimal/Percent equivalents
The learner will be able to identify decimal and percent equivalents for benchmark fractions.
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Round/compare decimals
The learner will be able to round and compare decimals to a given place value (whole number, tenths, hundredths).
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Fractions models and equivalents
The learner will be able to use models of benchmark fractions and their equivalent forms: 1. To analyze the size of fractions. 2. To determine that simplification does not change the value of the fraction. 3. To convert between mixed numbers and improper fractions.
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Perfect squares
The learner will be able to use models to differentiate between perfect squares up to 100 and other numbers.
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Divisibility rules and factors
The learner will be able to use divisibility rules to determine if a number is a factor of another number (2, 3, 5, 10).
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Commutative & associative properties
The learner will be able to identify the commutative and associative properties.
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Distributive property
The learner will be able to identify the distributive property by using physical models to solve computation and real world problems.
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Order of operations
The learner will be able to apply rules (conventions) for order of operations to whole numbers where left to right computations are modified only by the use of parentheses.
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Operations with fractions and decimals
The learner will be able to model addition, subtraction, and multiplication of fractions with like and unlike denominators and decimals.
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Computational fluency
The learner will be able to develop and use a variety of algorithms with computational fluency to perform whole number operations using addition and subtraction (up to 5 digit numbers), multiplication (up to 3 digit by 2 digit), division (up to 2 digit divisor) interpreting remainders, including real world problems.
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Develop and use algorithms
The learner will be able to develop and use algorithms: 1. To add and subtract numbers containing decimals (up to thousandths place). 2. To multiply decimals (hundredths X tenths). 3. To divide decimals by whole number divisors. 4. To add and subtract fractions with like denominators.
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Solve two step problems
The learner will be able to solve, with and without appropriate technology, two step problems using a variety of methods and tools (i.e. objects, mental computation, paper and pencil).
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Estimation
The learner will be able to develop and use strategies to estimate the results of whole numer computations and to judge the resonableness of such results.
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Factors
The learner will be able to use factors of numbers: 1. To introduce exponents. (Example: To introduce exponents 36 = 6 x 6 or 6 to the second power. See 2004 Arkansas Mathematics Frameworks for example of how to write exponential notation) 2. To find coommon factors of two numbers. 3. To simplify fractions to the lowest terms.
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| Algebraic Concepts |
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Pattern or Function table
The learner will be able to solve problems by finding the next term or missing term in a pattern or function table using real world situations.
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One operation function table.
The learner will be able to interpret and write a rule for a one-operation function table. ( Example: Adding 3).
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Simple equations
The learner will be able to model and solve simple equations by informal methods using manipulatives and appropriate technology.
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Expressions with one variable
The learner will be able to write expressions containing one variable (a letter representing an unknown quantity) using rules for addition and subtraction.
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Algebraic expressions: substitution
The learner will be able to select, write and evaluate algebraic expressions with one variable by substitution (Example: Evaluate x + 4 if x = 7).
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Models, Tables, Line Graphs
The learner will be able to draw conclusions and make predictions, with and without appropriate technology, from models, tables, and line graphs.
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Quantities that change
The learner will be able to model and describe quantities that change using real world situations (Example: Age and height).
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| Geometry |
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Regular and irregular polygons
The learner will be able to identify and model regular and irregular polygons including decagon.
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Angles
The learner will be able to identify and draw congruent, adjacent, obtuse, acute, right and straight angles: (Label parts of an angle: vertex, rays, interior and exterior).
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Circle & parts of a circle
The learner will be able to model and identify circle, radius, diameter, center, circumference and chord.
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Congruent figures
The learner will be able to model and identify the properties of congruent figures.
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Transformations
The learner will be able to predict and describe the results of translation (slide), reflection (flip), rotation (turn), showing that the transformed shape remains unchanged.
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Coordinate Geometry
The learner will be able to use geometric vocabulary (horizontal/x-axis, vertical/y-axis, ordered pairs) to describe the location and plot points in Quadrant I.
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Nets
The learner will be able to using grid paper, draw and identify two-dimensional patterns (nets) for cubes.
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| Measurement |
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Units and tools of measurement
The learner will be able to identify and select appropriate units and tools to measure (Example: angles with degrees, distance with feet).
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Conversions: Customary Units
The learner will be able to make conversions within the customary measurement system in real world problems (Example: hours to minutes, feet to inches, quarts to gallons, etc.).
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Prefixes
The learner will be able to establish through experience benchmark prefixes of mili-, centi-, and kilo-.
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Perimeter/area/surface area/volume: unit
The learner will be able to understand when to use linear units to describe perimeter, square units to describe area or surface area, and cubic units to describe volume in real world situations.
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Surface Area/Volume: Differences
The learner will be able to model the differences between covering the faces(surface area/nets) and filling the interior (volume of cubes).
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Elapsed time problems
The learner will be able to solve real world problems involving one elapsed time, counting forward (calendar and clock).
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Match measurement & unit to context
The learner will be able to determine which unit of measurement or tool matches the context for a problem situation.
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Measure distance: metric & customary
The learner will be able to draw and measure distance to the nearest cm and 1/4 inch accurately.
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Perimeter & Area of Rectangles
The learner will be able to develop and use strategies to solve real world problems involving perimeter and area of rectangles.
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Distance on number line/coordinate plane
The learner will be able to count the distance between two points on a horizontal or vertical line and compare the lengths of the paths on a grid. (Example: shortest path, paths of equal lenght, etc.).
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Estimate the measure of angles
The learner will be able to use benchmark angles (Example: 45 degrees, 90 degrees, 120 degrees, 180 degrees) to estimate the measure of angles.
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| Data Analysis and Probability |
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Survey questions
The learner will be able to develop appropriate questions for surveys.
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Use surveys to collect data
The learner will be able to collect numerical and categorical data using surveys, observations and experiments that would result in bar graphs, line graphs, line plots, and stem and leaf plots.
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Charts/tables/graphs/plots
The learner will be able to construct and interpret frequency tables, charts, line plots, stem and leaf plots, and bar graphs.
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Interpret graphs
The learner will be able to interpret graphs such as line graphs, double bar graphs, and circle graphs.
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Measures of central tendency
The learner will be able to determine, with and without appropriate technology, the range, mean, median, and mode (whole number data sets) and explain what each indicates about the set of data.
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Draw conclusions from data
The learner will be able to make predictions and justify conclusions based on data.
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Probability of an event
The learner will be able to identify and predict the probability of events within a simple experiment.
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Possible outcomes
The learner will be able to list and explain all possible outcomes in a given situation.
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