The 6th grade curriculum will incorporate the following topics and skills:
? Read and write whole numbers to trillions
? Define and identify the commutative and associative properties of addition and
multiplication
? Define and identify the distributive property of multiplication over addition
? Define and identify the identity and inverse properties of addition and multiplication
? Define and identify the zero property of multiplication
? Understand the concept of rate
? Express equivalent ratios as a proportion
? Distinguish the difference between rate and ratio
? Solve proportions using equivalent fractions
? Verify the proportionality using the product of the means equals the product of the
extremes
? Read, write, and identify percents of a whole (0% to 100%)
? Solve percent problems involving percent, rate, and base
? Define absolute value and determine the absolute value of rational numbers (including
positive and negative)
? Locate rational numbers on a number line (including positive and negative)
? Order rational numbers (including positive and negative)
? Add and subtract fractions with unlike denominators
? Multiply and divide fractions with unlike denominators
? Multiply and divide mixed numbers with unlike denominators
? Identify the multiplicative inverse (reciprocal) of a number
? Represent fractions as terminating or repeating decimals
? Find multiple representations of rational numbers (fractions, decimals, and percents 0 to
100)
? Evaluate numerical expressions using order of operations (may include exponents of
two and three)
? Represent repeated multiplication in exponential form
? Represent exponential form as repeated multiplication
? Evaluate expressions having exponents where the power is an exponent of one, two, or
three
? Estimate a percent of quantity (0% to 100%)
? Justify the reasonableness of answers using estimation (including rounding)
Algebra Strand
? Translate two step verbal expressions into algebraic expressions
? Use substitution to evaluate algebraic expressions (may include exponents of one, two
and three)
? Translate two step verbal equations into algebraic equations
? Solve and explain two step equations involving whole numbers using inverse operations
? Solve simple proportions within context
? Evaluate formulas for given input values (circumference, area, volume, distance,
temperature, interest, etc.)
Geometry Strand
? Calculate the length of corresponding sides of similar triangles, using proportional
reasoning
? Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and
trapezoids) and develop formulas
? Use a variety of strategies to find the area of regular and irregular polygons
? Determine the volume of rectangular prisms by counting cubes and develop the formula
? Identify radius, diameter, chords ad central angles of a circle
? Understand the relationship between the diameter and radius of a circle
? Determine the area and circumference of a circle, using the appropriate formula
? Calculate the area of a sector of a circle, given the measure of a central angle and the
radius of the circle
? Understand the relationship between the circumference and the diameter of a circle
? Identify and plot points in all four quadrants
? Calculate the area of basic polygons drawn on a coordinate plane (rectangles and
shapes composed of rectangles having sides with integer lengths)
Measurement Strand
? Measure capacity and calculate volume of a rectangular prism
? Identify customary units of capacity (cups, pints, quarts, and gallons)
? Identify equivalent customary units of capacity (cups to pints, pints to quarts, and
quarts to gallons)
? Identify metric units of capacity (liter and milliliter)
? Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter)
? Determine the tool and technique to measure with an appropriate level of precision:
capacity
? Estimate volume, area, and circumference (see figures identified in geometry strand)
? Justify the reasonableness of estimates
? Determine personal references for capacity
Statistics and Probability Strand
? Develop the concept of sampling when collecting data from a population and decide the
best method to collect data for a particular question
? Record data in a frequency table
? Construct Venn diagrams to sort data
? Determine and justify the most appropriate graph to display a given set of data
(pictograph, bar graph, line graph, histogram, or circle graph)
? Determine the mean, mode and median for a given set of data
? Determine the range for a given set of data
? Read and interpret graphs
? Justify predictions made from data
? List possible outcomes for compound events
? Determine the probability of dependent events
? Determine the number of possible outcomes for a compound event by using the
fundamental counting principle and use this to determine the probabilities of events
when the outcomes have equal probability