**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)