Brief Description of Units
6th GradePrime TimeFactors and Multiplesnumber theory, including factors, multiples, primes, composites, prime factorization Bits and Pieces IUnderstanding Rational Numbersmove among fractions, decimals, and percents; compare and order rational numbers; equivalence Shapes and DesignsTwo-Dimensional Geometryregular and non-regular polygons, special properties of triangles and quadrilaterals, angle measure, angle sums, tiling, the triangle inequality Bits and Pieces IIUnderstanding Fraction Operationsunderstanding and skill with addition, subtraction, multiplication, and division of fractions Covering and SurroundingTwo-Dimensional Measurementarea and perimeter relationships, including minima and maxima; area and perimeter of polygons and circles, including formulas Bits and Pieces IIIComputing With Decimals and Percentsunderstanding and skill with addition, subtraction, multiplication, and division of decimals, solving percent problems How Likely Is It?Probabilityreason about uncertainty, calculate experimental and theoretical probabilities, equally-likely and non-equally-likely outcomes Data About UsStatisticsformulate questions; gather, organize, represent, and analyze data; interpret results from data; measures of center and range |
7th GradeVariables and PatternsIntroducing Algebravariables; representations of relationships, including tables, graphs, words, and symbols Stretching and ShrinkingSimilaritysimilar figures; scale factors; side length ratios; basic similarity transformations and their algebraic rules Comparing and ScalingRatio, Proportion, and Percentrates and ratios; making comparisons; proportional reasoning; solving proportions Accentuate the NegativePositive and Negative Numbersunderstanding and modeling positive and negative integers and rational numbers; operations; order of operations; distributive property; four-quadrant graphing Moving Straight AheadLinear Relationshipsrecognize and represent linear relationships in tables, graphs, words, and symbols; solve linear equations; slope Filling and WrappingThree-Dimensional Measurementspatial visualization, volume and surface area of various solids, volume and surface area relationship What Do You Expect?Probability and Expected Valueexpected value, probabilities of two-stage outcomes Data DistributionsDescribing Variability and Comparing Groupsmeasures of center, variability in data, comparing distributions of equal and unequal sizes |
8th GradeThinking With Mathematical ModelsLinear and Inverse Variationintroduction to functions and modeling; finding the equation of a line; inverse functions; inequalities Looking for PythagorasThe Pythagorean Theoremsquare roots; the Pythagorean Theorem; connections amongcoordinates, slope, distance, and area; distances in the plane Growing, Growing, GrowingExponential Relationshipsrecognize and represent exponential growth and decay in tables, graphs, words, and symbols; rules of exponents; scientific notation Frogs, Fleas and Painted CubesQuadratic Relationshipsrecognize and represent quadratic functions in tables, graphs, words and symbols; factor simple quadratic expressions Kaleidoscopes, Hubcaps and MirrorsSymmetry and Transformationssymmetries of designs, symmetry transformations, congruence, congruence rules for triangles Say It With SymbolsMaking Sense of Symbolsequivalent expressions, substitute and combine expressions, solve quadratic equations, the quadratic formula Shapes of AlgebraLinear Systems and Inequalitiescoordinate geometry, solve inequalities, standard form of linear equations, solve systems of linear equations and linear equalities. Samples and PopulationsData and Statisticsuse samples to reason about populations and make predictions, compare samples and sample distributions, relationships among attributes in data sets |