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Prime Time
Factors and Multiples
number theory, including factors, multiples, primes, composites, prime factorization
Bits and Pieces I
Understanding Rational Numbers
move among fractions, decimals, and percents; compare and order rational numbers; equivalence
Shapes and Designs
Two-Dimensional Geometry
regular and non-regular polygons, special properties of triangles and quadrilaterals, angle measure, angle sums, tiling, the triangle inequality
Bits and Pieces II
Understanding Fraction Operations
understanding and skill with addition, subtraction, multiplication, and division of fractions
Covering and Surrounding
Two-Dimensional Measurement
area and perimeter relationships, including minima and maxima; area and perimeter of polygons and circles, including formulas
Bits and Pieces III
Computing With Decimals and Percents
understanding and skill with addition, subtraction, multiplication, and division of decimals, solving percent problems
How Likely Is It?
Probability
reason about uncertainty, calculate experimental and theoretical probabilities, equally-likely and non-equally-likely outcomes
Data About Us
Statistics
formulate questions; gather, organize, represent, and analyze data; interpret results from data; measures of center and range
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Variables and Patterns
Introducing Algebra
variables; representations of relationships, including tables, graphs, words, and symbols
Stretching and Shrinking
Similarity
similar figures; scale factors; side length ratios; basic similarity transformations and their algebraic rules
Comparing and Scaling
Ratio, Proportion, and Percent
rates and ratios; making comparisons; proportional reasoning; solving proportions
Accentuate the Negative
Positive and Negative Numbers
understanding and modeling positive and negative integers and rational numbers; operations; order of operations; distributive property; four-quadrant graphing
Moving Straight Ahead
Linear Relationships
recognize and represent linear relationships in tables, graphs, words, and symbols; solve linear equations; slope
Filling and Wrapping
Three-Dimensional Measurement
spatial visualization, volume and surface area of various solids, volume and surface area relationship
What Do You Expect?
Probability and Expected Value
expected value, probabilities of two-stage outcomes
Data Distributions
Describing Variability and Comparing Groups
measures of center, variability in data, comparing distributions of equal and unequal sizes
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Thinking With Mathematical Models
Linear and Inverse Variation
introduction to functions and modeling; finding the equation of a line; inverse functions; inequalities
Looking for Pythagoras
The Pythagorean Theorem
square roots; the Pythagorean Theorem; connections amongcoordinates, slope, distance, and area; distances in the plane
Growing, Growing, Growing
Exponential Relationships
recognize and represent exponential growth and decay in tables, graphs, words, and symbols; rules of exponents; scientific notation
Frogs, Fleas and Painted Cubes
Quadratic Relationships
recognize and represent quadratic functions in tables, graphs, words and symbols; factor simple quadratic expressions
Kaleidoscopes, Hubcaps and Mirrors
Symmetry and Transformations
symmetries of designs, symmetry transformations, congruence, congruence rules for triangles
Say It With Symbols
Making Sense of Symbols
equivalent expressions, substitute and combine expressions, solve quadratic equations, the quadratic formula
Shapes of Algebra
Linear Systems and Inequalities
coordinate geometry, solve inequalities, standard form of linear equations, solve systems of linear equations and linear equalities.
Samples and Populations
Data and Statistics
use samples to reason about populations and make predictions, compare samples and sample distributions, relationships among attributes in data sets
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