Math
* Represent very large positive numbers and very small positive numbers; Write numbers in expanded and exponential notation form (e.g. powers of 10)
* Compare and order fractions, decimals, and percents; Find equivalencies.
* Model, compare, order, and potition integers (e.g. on a number line); Model computations with integers using concrete models (e.g. number line, tiles)
* Solve problems involving rations and proportions and computations with whole numbers, fractions,decimals, and percents; Estimate and check the results of computations.
* Apply order of operations.
* Apply number theory concepts (e.g. factors, multiples, prime, composite, GCF, LCM, divisibilty)
Patterns, Relations, & Algebra
* Analyze and determine rules for extending geometric and numeric patterns.
* Use patterns and functions to solve problems; Demonstrate an understanding of variables, expressions, and equations.
* Solve simple linear equations using concrete models, tables, graphs, and paper and pencil methods.
* Create and interpret graphical sketches repesenting real events; Represent mathematical relationships with concrete materials, tables, graphs, and verbal rules.
Geometry
* Identify, compare, describe, and classify polygons; Identify properties.
* Describe and perform transformations on shapes.
* Determine conguency.
* Draw shapes from different perspecitves.
* Describe, construct, measure, and classify various angles and triangles
* Identify, draw, and describe the relationships amongh points, lines, segments, and planes; Graph points on the coordinate plane.
Measuerment
* Demonstrate an understanding of the concepts of radius, diameter, circumference, Pi, and area of circle.
* Find the sum of angle measures in regular polygons
* Find the perimeters and areas of polygons (e.g. triangles, parallelogram); contrast perimeter and area
* Find volume of rectangular prisms.
* Solve problems involving proportional relationships and units of measure (e.g. unit conversions, scale models, map scales).
Data Analysis, Statistics, & Probability
* Collect, organize, display, and analyze data to solve problems; Construct and interpret tables, bar graphs, line graphs, line plots, and stem and leaf plots.
* Apply mean, median, mode, and range.
* Carry out experiments to determine probability of events; Use tree diagrams,lists, tables, and other models to represent outcomes.
Mathematics Curriculum:
This year the students are studying mathematics through the Connected Mathematics Project (CMP). Each of the problem centered units contained within the 6th Grade CMP curriculum is designed to assist students in learning a related set of mathematical ideas in order to become skillful at implementing these concepts through problem solving. This is accomplished through the use of investigations and follow up application and connection problems. The curriculum is structured to help students learn to communicate their strategies and reasoning and to deepen their mathematical understanding.
* Represent numbers in scientific notation
* Compare order, estimate, and translate among integers, fractions, mixed numbers, decimals, and percents; Compute with fractions decimals, percents, and integers
* Model and solve problems involving ratios and proportions
* Apply order of operations, including with exponents; Identify properties of operations; Use inverse relationships to solve problems
* Apply number theory concepts (e.g. prime factorization, GCF, LCM)
PATTERNS, RELATIONS, & ALGEBRA
* Represent numeric and geometric patterns using models, tables, graphs, rules, and algebraic expressions and equations
* Demonstrate an understanding and concept of a function; Use patterns and functions to represent and solve problems
* Write expressions and equations for solving problem situations; Evaluate and simplify variable expressions; Solve and graph simple equations and inequalities
GEOMETRY
* Classify figures (e.g. polygons, circles) ; Apply properties of congruence and similarity
* Perform, and analyze the effect of, transformations on the coordinate plane; Draw figures from different perspectives
* Explain and apply Pi
MEASUREMENT
* Find the area and perimeter (circumference) of polygons and circles; find surface area and volume of common three-dimensional figures
* Select, convert, and use appropriate units or scale; Apply rates and indirect measures
DATA ANALYSIS, PROBABILITY, & STATISTICS
* Collect and organize data systematically; Represent data in line and bar graphs, stem and leaf plots, scatter plots, histograms, and circle graphs; Analyze data using mean, median, and mode
* Use tree diagrams to organize list to compute probabilities
NUMBER SENSE & OPERATIONS
* Define and apply common irrational numbers (e.g. Pi, square root of 2); Apply powers and roots to the solution of problems
Estimate and compute with fractions (algebraically), decimals, percents, and integers
PATTERNS, RELATIONS, & ALGEBRA
* Represent and analyze a variety of numeric and geometric patterns; Use tables and graphs to compare linear exponential growth patterns
GEOMETRY
* Use technology and construction tools to formulate and test conjectures about two and three dimensional figures and to make geometric constructions
MEASUREMENT
* Apply formulas and procedures to problems involving perimeter, area, surface area, and volume
* Use ratios and proportions to solve measurement problems (e.g. indirect measures, similar plane figures)
DATA ANALYSIS, PROBABILITY, & STATISTICS
* Collect and organize data; represent data in tables, charts, scatter plots, Venn Diagrams, Histograms, circle graphs, and box plots; make inferences and draw conclusions; Identify most appropriate measure central tendency
* Commute permutations and combinations; Use tree diagrams, tables, lists, and area models to describe sample spaces and to calculate probabilities of independent and dependent events