| Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships. |
| Patterns and Functions
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Identify, describe, extend, and create numeric patterns and functions |
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| Objective(s) |
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Represent and analyze numeric patterns using skip counting
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Represent and analyze numeric patterns using skip counting
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Represent and analyze numeric patterns using skip counting backward
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Identify, describe, extend, and create non-numeric growing or repeating patterns |
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Represent and analyze growing patterns using symbols, shapes, designs, or pictures
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Represent and analyze repeating patterns using symbols, shapes, designs, or pictures
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| Expressions, Equations, and Inequalities
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Write and identify expressions |
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Represent numeric quantities using operational symbols (+, -, ×, ÷)
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Identify, write, solve, and apply equations and inequalities |
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Represent relationships using appropriate relational symbols (<, >, or =) and operational symbols (+, -, ×, ÷) on either side
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Find the missing number (unknown) in a number sentence (equation) using operational symbols (+, -, ×, ÷)
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| Numeric and Graphic Representations of Relationships
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Locate points on a number line |
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Represent whole numbers on a number line
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Represent proper fractions on a number line
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| Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. |
| Plane Geometric Figures
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Analyze the properties of plane geometric figures |
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Identify or describe polygons
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Identify or describe quadrilaterals
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Identify triangles, rectangles, or squares as part of a composite figure
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| Solid Geometric Figures
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Analyze the properties of solid geometric figures |
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Identify and describe cubes, rectangular prisms, and triangular prisms
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| Representation of Geometric Figures
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| Congruence
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Analyze congruent figures |
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Identify and describe geometric figures as congruent
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| Transformations
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Identify and describe the results of a slide, flip, and turn
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Analyze geometric figures or pictures |
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Identify and describe symmetry
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| Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements. |
| Measurement Units
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Read customary and metric measurement units |
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Estimate and determine length
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Tell time in days, hours, minutes, and seconds
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Estimate and read temperature
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Estimate and determine weight of objects
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| Measurement Tools
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Measure in customary and metric units |
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Measure length of objects and pictures of objects using a ruler, a tape measure, a yardstick, or a meter stick
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| Applications in Measurement
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Apply measurement concepts |
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Estimate and determine the perimeter of geometric figures and pictures on a grid
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Estimate and determine the area of geometric figures and pictures on a grid
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Calculate equivalent measurements |
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Determine equivalent units of length
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| Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions. |
| Data Displays
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Collect, organize, and display data |
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Organize and display data to make tables using a variety of categories and sets of data
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Organize and display data to make pictographs using a variety of scales
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Organize and display data to make single bar graphs using a variety of categories and intervals
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| Data Analysis
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Interpret data contained in tables using a variety of categories and intervals
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Interpret data contained in pictographs using a variety of categories and intervals
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Interpret data contained in single bar graphs using a variety of categories and intervals
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| Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. |
| Knowledge of Number and Place Value
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Apply knowledge of whole numbers and place value |
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Read, write, and represent whole numbers using symbols, words, and models
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Express whole numbers using expanded form
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Identify the place value of a digit in a whole number
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Compare, order, and describe whole numbers with or without using relational symbols (<, >, =)
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Apply knowledge of fractions |
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Read, write, and represent fractions as parts of a single region using symbols, words, and models
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Read, write, and represent fractions as parts of a set using symbols, words, and models
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Represent money amounts in different ways
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Determine the value of a given set of mixed currency
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| Number Theory
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Apply number relationships to: |
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Identify and describe whole numbers as even or odd
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| Number Computation
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Analyze number relations and compute |
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Add numbers using a variety of strategies
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Subtract numbers using a variety of strategies
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Represent multiplication and division basic facts using number sentences, pictures, and drawings
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Identify and use properties of multiplication
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