Sixth grade students will apply their knowledge of whole numbers, estimation, fractions, decimals, integers, ratio reasoning, equations, geometry, statistical variability, and data interpretation to solve real world problems.
MATH.06.01 – Students will apply and extend previous understandings of
number sense.
MATH.06.01.01 - Students will be able to apply divisibility rules (foundation)
MATH.06.01.02 - Students will be able to divide multi-digit numbers using the standard algorithm (focus)
MATH.06.01.03 - Students will be able to identify and calculate powers and exponents (focus)
MATH.06.01.04 - Students will be able to determine and use correct order of operations (focus)
MATH.06.01.05 – Students will solve whole number operations involving real world
situations (focus)
MATH.06.02 – Students will compute fluently with multi-digit decimal
numbers.
MATH.06.02.01 - Students will add and subtract decimals (focus)
MATH.06.02.02 - Students will multiply and divide decimals (focus)
MATH.06.02.03 – Students will solve decimal operations involving real world
situations (focus)
MATH.06.03 - Students will apply and extend understanding of multiplication
and division to divide fractions by fractions.
MATH.06.03.01 - Students will find the greatest common factor of two whole
numbers that are less than or equal to 100 (focus)
MATH.06.03.02 - Students will find the least common multiple of two whole
numbers that are less than or equal to 12 (focus)
MATH.06.03.03 - Students will compute quotients of fractions, and solve word
problems involving division of fractions by fractions (focus)
MATH.06.03.04 – Students will solve real world problems involving division of
fractions by fractions (focus)
MATH.06.04 – Students will apply understanding of whole number operations
to solve operations involving integers.
MATH.06.04.01 - Students will be able to identify the absolute value of an integer
and interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write l-30l = 30 to describe the size of the debt in dollars (focus)
MATH.06.04.02 - Students will use a number line to compare and order integers
(focus)
MATH.06.04.03 – Students will interpret statements of inequality as statements
about the relative position of two number on a number line diagram. Example- -3 > -7 as saying that -3 is located to the right of -7 on a number line (focus)
MATH.06.04.04 – Students will recognize that the opposite of the opposite is the
number itself. Example –(-3) = 3 (foundation)
MATH.06.04.05 – Students will understand signs of numbers in ordered pairs as
indicating locations in quadrants of the coordinate plane (focus)
MATH.06.04.06 – Student will recognize that when two ordered pairs differ only by
signs, the locations of the points are related by reflections across one or both axes (introductory)
MATH.06.04.07 – Students will find and position pairs of integers and other rational
numbers on a coordinate plane (focus)
MATH.06.04.08 – Students will write, interpret, and explain statements of order for
rational number in real world contexts. For example, write -3
degrees C > -7 degrees C to express the fact that – 3 degrees C is warmer than -7 degrees C. (focus)
MATH.06.04.09 – Students will solve real-world problems by graphing points in all
four quadrants of the coordinate plane (focus)
MATH.06.05 – Students will develop and solve expressions and equations to
model real-life situations.
MATH.06.05.01 - Students will write and simplify variable expressions involving
whole number exponents (foundation)
MATH.06.05.02 - Students will write and identify equivalent expressions (example-distributive property) (foundation)
MATH.06.05.03 - Students will substitute in variables to solve equations (focus)
MATH.06.05.04 - Students will solve one-step non-negative addition, subtraction,
multiplication, and division equations (focus)
MATH.06.05.05 - Students will solve and graph inequalities (focus)
MATH.06.06 - Students will demonstrate understanding of ratio concepts and
use ratio reasoning to solve real world problems.
MATH.06.06.01 - Students will create and indentify ratios and use ratio language to
describe the ratio relationship (focus)
Math.06.06.02 - Students will create and identify proportions involving rates and
use rate language in the context of a ratio relationship (focus)
MATH.06.06.03 - Students will apply ratio and rate reasoning to create and solve
real world proportional problems (focus)
Math.06.06.04 – Students will find a percent of a quantity as a rate per 100
(focus)
Math.06.06.05 – Students will use ratio reasoning to convert measurement units
(focus)
MATH.06.07– Students will solve real-world mathematical problems
involving area, surface area, and volume.
MATH.06.07.01 - Students will apply their knowledge of geometric formulas to find
the area of triangles, special quadrilaterals, and polygons (focus)
MATH.06.07.02 - Students will apply their knowledge of geometric formulas to find
the surface area of rectangular and triangular prisms (foundation)
MATH.06.07.03 - Students will apply their knowledge of geometric formulas to find
the volume of rectangular prisms (foundation)
MATH.06.07.04 – Students will apply their knowledge of geometric formulas to
solve real world problems (foundation)
MATH.06.08 – Students will apply their knowledge of statistical variability
(mean, median, mode, and range) to solve real world problems
MATH.06.08.01 – Students will define mean, median, mode, and range (focus)
MATH.06.08.02 - Students will recognize a statistical question as one that
anticipates variability in the data (foundation)
MATH.06.08.03 – Students will collect a set of data and calculate the mean, median,
mode, and range (foundation)
MATH.06.09 – Students will use statistics to describe, create, analyze, and
display data
MATH.06.09.01 – Students will display and analyze numerical data in plots on
number lines, dot plots, histograms, and box plots (foundation)
MATH.06.09.02 – Students will summarize numerical data sets in relation to their
context (foundation)
MATH.06.01 – Students will apply and extend previous understandings of
number sense.
MATH.06.01.01 - Students will be able to apply divisibility rules (foundation)
MATH.06.01.02 - Students will be able to divide multi-digit numbers using the standard algorithm (focus)
MATH.06.01.03 - Students will be able to identify and calculate powers and exponents (focus)
MATH.06.01.04 - Students will be able to determine and use correct order of operations (focus)
MATH.06.01.05 – Students will solve whole number operations involving real world
situations (focus)
MATH.06.02 – Students will compute fluently with multi-digit decimal
numbers.
MATH.06.02.01 - Students will add and subtract decimals (focus)
MATH.06.02.02 - Students will multiply and divide decimals (focus)
MATH.06.02.03 – Students will solve decimal operations involving real world
situations (focus)
MATH.06.03 - Students will apply and extend understanding of multiplication
and division to divide fractions by fractions.
MATH.06.03.01 - Students will find the greatest common factor of two whole
numbers that are less than or equal to 100 (focus)
MATH.06.03.02 - Students will find the least common multiple of two whole
numbers that are less than or equal to 12 (focus)
MATH.06.03.03 - Students will compute quotients of fractions, and solve word
problems involving division of fractions by fractions (focus)
MATH.06.03.04 – Students will solve real world problems involving division of
fractions by fractions (focus)
MATH.06.04 – Students will apply understanding of whole number operations
to solve operations involving integers.
MATH.06.04.01 - Students will be able to identify the absolute value of an integer
and interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write l-30l = 30 to describe the size of the debt in dollars (focus)
MATH.06.04.02 - Students will use a number line to compare and order integers
(focus)
MATH.06.04.03 – Students will interpret statements of inequality as statements
about the relative position of two number on a number line diagram. Example- -3 > -7 as saying that -3 is located to the right of -7 on a number line (focus)
MATH.06.04.04 – Students will recognize that the opposite of the opposite is the
number itself. Example –(-3) = 3 (foundation)
MATH.06.04.05 – Students will understand signs of numbers in ordered pairs as
indicating locations in quadrants of the coordinate plane (focus)
MATH.06.04.06 – Student will recognize that when two ordered pairs differ only by
signs, the locations of the points are related by reflections across one or both axes (introductory)
MATH.06.04.07 – Students will find and position pairs of integers and other rational
numbers on a coordinate plane (focus)
MATH.06.04.08 – Students will write, interpret, and explain statements of order for
rational number in real world contexts. For example, write -3
degrees C > -7 degrees C to express the fact that – 3 degrees C is warmer than -7 degrees C. (focus)
MATH.06.04.09 – Students will solve real-world problems by graphing points in all
four quadrants of the coordinate plane (focus)
MATH.06.05 – Students will develop and solve expressions and equations to
model real-life situations.
MATH.06.05.01 - Students will write and simplify variable expressions involving
whole number exponents (foundation)
MATH.06.05.02 - Students will write and identify equivalent expressions (example-distributive property) (foundation)
MATH.06.05.03 - Students will substitute in variables to solve equations (focus)
MATH.06.05.04 - Students will solve one-step non-negative addition, subtraction,
multiplication, and division equations (focus)
MATH.06.05.05 - Students will solve and graph inequalities (focus)
MATH.06.06 - Students will demonstrate understanding of ratio concepts and
use ratio reasoning to solve real world problems.
MATH.06.06.01 - Students will create and indentify ratios and use ratio language to
describe the ratio relationship (focus)
Math.06.06.02 - Students will create and identify proportions involving rates and
use rate language in the context of a ratio relationship (focus)
MATH.06.06.03 - Students will apply ratio and rate reasoning to create and solve
real world proportional problems (focus)
Math.06.06.04 – Students will find a percent of a quantity as a rate per 100
(focus)
Math.06.06.05 – Students will use ratio reasoning to convert measurement units
(focus)
MATH.06.07– Students will solve real-world mathematical problems
involving area, surface area, and volume.
MATH.06.07.01 - Students will apply their knowledge of geometric formulas to find
the area of triangles, special quadrilaterals, and polygons (focus)
MATH.06.07.02 - Students will apply their knowledge of geometric formulas to find
the surface area of rectangular and triangular prisms (foundation)
MATH.06.07.03 - Students will apply their knowledge of geometric formulas to find
the volume of rectangular prisms (foundation)
MATH.06.07.04 – Students will apply their knowledge of geometric formulas to
solve real world problems (foundation)
MATH.06.08 – Students will apply their knowledge of statistical variability
(mean, median, mode, and range) to solve real world problems
MATH.06.08.01 – Students will define mean, median, mode, and range (focus)
MATH.06.08.02 - Students will recognize a statistical question as one that
anticipates variability in the data (foundation)
MATH.06.08.03 – Students will collect a set of data and calculate the mean, median,
mode, and range (foundation)
MATH.06.09 – Students will use statistics to describe, create, analyze, and
display data
MATH.06.09.01 – Students will display and analyze numerical data in plots on
number lines, dot plots, histograms, and box plots (foundation)
MATH.06.09.02 – Students will summarize numerical data sets in relation to their
context (foundation)