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Poyen School |
| Number and Operations |
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Find percent of a number
The learner will be able to demonstrate conceptual understanding to find a specific percent of a number, using models, real-life examples, or explanation.
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Fraction/Decimal/percent equivalents
The learner will be able to find decimal and percent equivalents for proper fractions and explain why they represent the same value.
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Round/compare decimals
The learner will be able to round and compare decimals to a given place value including thousandths.
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Convert/compare/order: Frac/dec/%
The learner will be able to convert, compare, and order fractions (mixed numbers and improper fractions), decimals, and percents and find their approximate location on a number line.
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Perfect squares/square roots
The learner will be able to recognize and identify perfect squares and their square roots.
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Divisibility rules to find factors
The learner will be able to use divisibility rules to determine if a number is a factor of another number (4, 6, 9).
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Distributive property
The learner will be able to apply the distributive property of multiplication over addition to siimplify computations with whole numbers.
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One step equations
The learner will be able to apply the addition, subtraction, multiplication, and division properties of equality to one-step equations with whole numbers.
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Order of operations
The learner will be able to apply rules(conventions) for order of operations to whole numbers with and without parentheses.
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Multiplication/division- fractions/dec
The learner will be able to model multiplication and division of fractions (including mixed numbers) and decimals using pictures and physical objects (Example: weight, money, and measuring cups).
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Whole number operations
The learner will be able to apply, with and without appropriate technology, algorithms with computational fluency to perform whole number operations (add, subtract, multiply, divide).
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Computations with fractions & decima
The learner will be able to develop and analyze algorithms for computing with fractions (including mixed numbers) and decimals and demonstrate, with and without technology, computational fluency in their use and justify the solution.
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Solve multi-step problems
The learner will be able to solve, with and without appropriate technology, multi-step problems using a variety of methods and tools (i.e., objects, mental computation, paper and pencil).
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Estimate reasonable solutions
The learner will be able to estimate reasonable solutions to problem situations involving fractions and decimals (Example: 7/8 + 12/13 equals about 2 and 4.23 x 5.8 is about 24).
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Factorization: GCF & LCM
The learner will be able to find and use factorization (tree diagram) including prime factorization of composite numbers (expanded and exponential notation) to determine the greatest common factor (GCF) and least common multiple (LCM).
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Ratios and Proportions
The learner will be able to use proportional reasoning and ratios to represent problem situations and determine the reasonableness of solutions with and without appropriate technology (Example: unit rates).
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Percent problems and applications
The learner will be able to determine the percent of a number and solve related problems in real world situations (Example: Tip, sales tax, discounts, etc.).
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| Algebraic Concepts |
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Patterns or function tables
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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Rule for one operation table
The learner will be able to interpret and write an algebraic rule for one-operation function table (Example: y = x + 3).
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Solve one-step equations
The learner will be able to model, write and solve one-step equations by informal methods using manipulatives and appropriate technology.
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Write algebraic expressions
The learner will be able to write simple algebraic expressions using appropriate operations (add, subtract, multiply, divide) with one variable.
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Evaluate algebraic expressions
The learner will be able to evaluate algebraic expressions with one variable using appropriate properties and operations (+, - , x, /).
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Complete & interpret tables and grap
The learner will be able to complete, with and without appropriate technology, and interpret tables and line graphs that represent the relationship between two variables in quadrant I (Example: time and distance).
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Rate of change
The learner will be able to identify and compare situations with constant or varying rates of chane (Example: a student's rate of growth each year is a varying rate, hourly wages is a constant rate).
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| Geometry |
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ID 3-D geometric figures
The learner will be able to identify three-dimensional geometric figures using models (rectangular prisms, cylinders, cones, pyramids and spheres).
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Changing dimensions: Perimeter & Are
The learner will be able to investigate with manipulatives or grid paper what happens to the perimeter and area of a 2-dimensional shape when the dimensions are changed (Example: Length of sides are doubled).
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Triangles
The learner will be able to identify, describe, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equilangular.
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Circles
The learner will be able to draw, label, and determine relationships among the radius, diameter, center, and circumference (e.g. radius is half the diameter) of a circle.
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Similar figures
The learner will be able to identify similar figures and explore their properties.
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Symmetry
The learner will be able to identify and describe line and rotational symmetry in two-dimensional shapes, patterns and designs.
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Transformations
The learner will be able to describe positions and orientations of shapes under transformation (translation, reflection, and rotation) recognizing the size and shape do not change.
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Use ordered pairs
The learner will be able to use ordered pairs to plot points in Quadrant I.
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Ordered pairs to form geometric figures
The learner will be able to plot points that form the vertices of a geometric figure and draw, identify, and classify the figure.
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Nets for a Solid
The learner will be able to identify two-dimensional patterns (nets) for three-dimensional solids, such as prisms, pyramids, cylinders, and cones.
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| Measurement |
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Select measurement units and tools
The learner will be able to identify and select appropriate units and tools from both systems to measure (Example: angles with degrees, distance with feet/meters).
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Measurement conversions: same system
The learner will be able to make conversions within the same measurement system in real world problems (Example: hours to minutes to seconds, meters to cm, feet to inches, liters to milliliters, quarts to gallons, etc.).
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Linear/square/cubic units
The learner will be able to compare and contrast the differences among linear units, square units, and cubic units.
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Match unit/tool to measurement context
The learner will be able to determine which unit of measure or measurement tool matches the context for a problem situation.
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Elapsed time problems
The learner will be able to solve real world problems involving one elapsed time, counting forward and backward (calendar and clock).
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Match measurement unit/tool to context
The learner will be able to determine which unit of measure or measurement tool matches the context for a problem situation.
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Draw/ measure distance
The learner will be able to draw and measure distance to the nearest mm and 1/8 inch accurately.
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Apply formulas for perimeter & area
The learner will be able to establish and apply formulas to find area and perimeter of triangles, rectangles and parallelograms.
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Distance: Number line
The learner will be able to find the distance between two points on a number line.
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Check reasonableness of measurements
The learner will be able to use estimation to check the reasonableness of measurements obtained from use of various instruments (including angle measures).
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| Data Analysis and Probability |
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Population data
The learner will be able to formulate questions, design studies, and collect data about a characteristic shared by two populations or different chracteristics within one population.
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Display data: Venn diagram
The learner will be able to collect data and select appropriate graphical representations to display the data including Venn diagrams.
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Construct and interpret graphs
The learner will be able to construct and interpret graphs, using correct scale, including line graphs, and double-bar graphs.
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