Goal	Standard	Benchmark	Alignment
Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions. Students will engage in daily number sense activites: counting, estimation, and mental math.	Standard A: Demonstrate knowledge and sense of numbers, including numeration and operations, patterns, ratios, and proportions.	•Count using numbers through hundred billions by 10,000's; 100,000's; millions; and billions. Count using decimals to the thousandths place.	0
		•Model, read, write, identify place value, compare and order whole numbers through hundred billions. Model, read, write, identify place value, and compare the order decimal numbers through thousandths place.	0
		•Represent numbers in mulitple ways as appropriate to the grade level.	1
		•Locate positive and negative integers on a number line.	0
		•Model and use exponents to represent squares and cubes, and use exponents to represent a composite number as a product of primes.	0
		•Model and represent fractions, decimals, ratios, and percents in a variety of ways including equivalent forms.	1
	Standard B: Investigate, represent and solve problems through computation and estimation methods using numbers facts, operations and their properties, algorithms and relationships.	•Use estimation to determine if an answer to a problem is reasonable.	2
		•Multiply and divide decimals by 10, 100, 1000.	1
		•Determine the greatest common factor and the least common multiple and add/subtract fractions with unlike denominators.	0
		•Find percents of whole numbers.	0
		•Apply ratios and proportions in the context of percents to solve problems.	2
		•Use calculator to simplify fractions, percents, and find decimal equivalents.	0
Goal 7: Estimate, make, and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.	Standard A: Demonstrate knowledge of attributes, units, and systems of measurement.	•Apply concepts and attributes of length, perimeter, area, time, and temperature, and angle measure in practical situations.	0
		•For length, mass, volume, use deka, hecto, kilo units.	0
	Standard B: Select appropriate techniques, tools, and formulas for determining measurement.	•Choose formulas and use concrete models to find the area and perimeter of triangles, rectangles, and parallelograms.	0
		•Convert Celsius to Fahrenheit.	0
		•Select techniques and tools to measure accurately with levels of precision appropriate to the situation.	0
		•Convert units using deka-kilo.	0
		•Sketch a simple one-to-one scale drawing for a given situation.	2
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.	Standard A: Demonstrate knowledge of various types of patterns and functional relationships.	•Apply the basic properties of commutative, associative, identity, zero, equality, and order of operations to solve equations and problems.	2
		•Translate between words and algebraic expressions and equations.	2
	Standard B: Use symbolic forms and mathematical models to represent and analyze mathematical situations.	•Use a thermometer, number line, and other practical situations to model integers.	0
		•Solve problems using graphic representations of one-step equations.	2
		•Use data from table and graphs to plot point on a coordinate gride. Interpret given relationships.	0
		•Evaluate expressions.	2
		•Model to solve one-variable, one-step equations.	2
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.	Standard A: Analyze characterics and properties of two and three-dimensional geometric objects.	•Identify, describe, and draw regular and irregular two-dimensional polygons.	1
	Standard B: Use visualization, spatial reasoning, and geometric relationships to analyze and solve mathematical situations.	•Draw transformation images of figures (slides, rotations, flips), with and without the use of technology.	0
Goal 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.	Standard A: Pose questions and collect, organize, represent, and interpret data.	•Construct, read, and interpret line plots, circle graphs, stem-and-leaf plots to organize and present data, with and without the use of technology.	0
		•Find and compare the mean, median, mode, and range of rational numbers with and without the use of technology.	0
		•Test the reasonableness of an argument based on the data and communicate the findings.	0
		•Formulate one-variable numerical and categorical (non-numerical survey) questions, devise and conduct experiment of simulations, gather data and communicate the result.	0
	Standard B: Determine, describe, and apply and probabilities of events.	•Use fractions (ratio/percents) to describe the probabilities of independent events.	0
		•Compare predicted and actual probabilities of independent events.	0
		•Analyze problem situations and make predictions about results.	0

Key:

0 = No Alignment

1 = Moderate Alignment

2 = Strong Alignment