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MO.A. Algebraic Relationships
A.1. Understand patterns, relations and functions.
A.1.B. Create and analyze patterns
A.1.B.1. Analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation (DOK 3; MA4 1.6)
A.2. Represent and analyze mathematical situations and structures using algebraic symbols.
A.2.A. Represent mathematical situations
A.2.A.1. Use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable (DOK 2; MA4 3.3)
MO.D. Data and Probability
D.1. Formulate questions that can be dressed with data and collect, organize, and display relevant data to answer them
D.1.C. Represent and interpret data
D.1.C.1. Select, create and use appropriate graphical representation of data, including circle graphs, histograms (DOK 2; MA3 1.8)
D.2. Select and use appropriate statistical methods to analyze data.
D.2.A. Describe and analyze data
D.2.A.1. Find, use and interpret measures of center and spread, including ranges (DOK 2; MA3 1.10)
D.4. Understand and apply basic concepts of probability.
D.4.A. Apply basic concepts of probability
D.4.A.1. Use models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of experiments (DOK 3; MA3 3.8)
MO.G. Geometric and Spatial Relationships
G.1. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
G.1.B. Apply geometric relationships
G.1.B.1. Describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons (DOK 2; MA2 1.6)
G.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
G.2.A. Use coordinate systems
G.2.A.1. Use coordinate geometry to construct and identify geometric shapes in the coordinate plane using their properties (DOK 2; MA2 3.2)
G.3. Apply transformations and use symmetry to analyze mathematical situations.
G.3.B. Use transformations on functions
G.3.B.1. Describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications) (stretching/shrinking) (DOK 2; MA2 3.6)
G.3.C. Use symmetry
G.3.C.1. Determine all lines of symmetry of a polygon (DOK 1; MA2 1.6)
M.1. Understand measurable attributes of objects and the units, systems and processes of measurement.
M.1.A. Determine unit of measurement
M.1.A.1. Identify and justify the unit of measure for volume (customary and metric) (DOK 3; MA2 3.1)
M.2. Apply appropriate techniques, tools and formulas to determine measurements.
M.2.B. Use angle measurement
M.2.B.1. Use tools to measure angles to the nearest degree and classify that angle as acute, obtuse, right, straight, of reflex (DOK 1; MA2 3.2)
M.2.C. Apply geometric measurements
M.2.C.1. Solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder (DOK 2; MA2 1.10)
M.2.E. Use relationships within a measurement system
M.2.E.1. Convert from one unit to another within a system of measurement (capacity) and convert square or cubic units within the same system of measurement (DOK 1; MA2 1.6)
MO.N. Number and Operations
N.1. Understand numbers, ways of representing numbers, relationships among numbers and number systems.
N.1.A. Read, write and compare numbers
N.1.A.1. Compare and order all positive rational numbers and find their approximate location on a number line (DOK 1; MA5 1.10)
N.1.B. Represent and use rational numbers
N.1.B.1. Recognize and generate equivalent forms of fractions, decimals and percents (DOK 2; MA5 1.10)
N.2. Understand meanings of operations and how they relate to one another.
N.2.C. Apply properties of operations
N.2.C.1. Apply properties of operations (including order of operations) to positive rational numbers and integers (DOK 2; MA1 1.10)
N.3. Compute fluently and make reasonable estimates.
N.3.C. Compute problems
N.3.C.1. Apply all operations on rational numbers including integers (DOK 2; MA1 3.1)
N.3.D. Estimate and justify solutions
N.3.D.1. Estimate and justify the results of all operations on rational numbers (DOK 3; MA1 3.2)
N.3.E. Use proportional reasoning
N.3.E.1. Solve problems involving proportions, such as scaling and finding equivalent ratios (DOK 2; MA1 3.2)
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