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ALGEBRA I & II
ALGEBRA
- Geometric and numeric patterns
- Represent and analyze patterns and functions
- Commutative, Associative and Distributive properties(whole numbers)
- Representation of variables
- Mathematical relationships using equations
- Model problem situations using graphs, tables, and equations
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DATA ANALYSIS AND PROBABILITY
- Data-collection methods and effects
- Representation of data
- Differences in representing categorical and numerical data
- Features of a set of data and compare related data sets
- Distribution of data
- measures of center, focusing on the median
- Compare different representations of the same data
- Likely, unlikely, certain, equally likely and impossible events
- Probability of outcomes of simple experiments
- Likelihood of an event
- Relationships between variables
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GEOMETRY
- Two- and three-dimensional shapes - attributes
- Properties of two- and three-dimensional shapes
- Classification of two- and three-dimensional shapes
- Subdividing, combining, and transforming shapes
- Congruence and similarity
- Geometric properties and relationships
- Location and movement
- Coordinate systems to specify locations and to describe paths
- Distance between points
- Sliding, flipping, and turning two-dimensional shapes
- Rotational symmetry in two- and three-dimensional shapes and designs
- Build and draw geometric objects
- Identify and build a three-dimensional object from two-dimensional representations of that object
- Geometric models to solve problems
- Geometric ideas and relationships
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MEASUREMENT
- Length, area, weight, volume, and size of angle
- Standard units in the customary and metric systems
- Simple unit conversions
- Measurements of a two-dimensional shape
- Estimating the perimeters, areas, and volumes of irregular shapes
- Standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles
- Time and Money
- Benchmarks to estimate measurements
- Formulas to find the area of rectangles and related triangles and parallelograms
- Surface areas and volumes of rectangular solids
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NUMBER AND OPERATIONS
- Place-value structure of the base-ten number system
- Represent and compare whole numbers and decimals
- Equivalent representations for the same number
- Generate equivalent numbers by decomposing and composing
- Fractions as parts of unit wholes, and collection
- Fractions as locations on number lines and as divisions of whole numbers
- Size of fractions
- Equivalent forms of fractions, decimals, and percents
- Explore numbers less than 0
- Classes of numbers
- Multiplication and division of whole numbers
- Relationships between operations and properties of operations
- Distributive property (multiplication over addition)
- Basic number combinations for multiplication and division
- Adding, subtracting, multiplying, and dividing whole numbers
- Add and subtract fractions and decimals
- Computing with whole numbers
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