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Number, Number Sense and Operations
A. Use scientific notation to express large numbers and numbers less than one.
B. Identify subsets of the real number system.
C. Apply properties of operations and the real number system, and justify when they hold for a set of numbers.
D. Connect physical, verbal and symbolic representations of integers, rational numbers and irrational numbers.
E. Compare, order and determine equivalent forms of real numbers.
F. Explain the effects of operations on the magnitude of quantities.
G. Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.
H. Find the square root of perfect squares, and approximate the square root of non-perfect squares.
I. Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents.
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Measurement
A. Solve increasingly complex non-routine measurement problems and check for reasonableness of results.
B. Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision.
C. Apply indirect measurement techniques, tools and formulas, as appropriate, to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids.
D. Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.
E. Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision.
F. Write and solve real-world, multi-step problems involving money, elapsed time and temperature, and verify reasonableness of solutions.
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Geometry and Spatial Sense
A. Formally define geometric figures.
B. Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.
C. Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.
D. Use coordinate geometry to represent and examine the properties of geometric figures.
E. Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools, such as straightedge, compass and technology.
F. Represent and model transformations in a coordinate plane and describe the results.
G. Prove or disprove conjectures and solve problems involving two- and three-dimensional objects represented within a coordinate system.
H. Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.
I. Use right triangle trigonometric relationships to determine lengths and angle measures.
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