# BPS District Mathematics Standards Book

### K-8 Grade Levels

#### Grade 06

The 6^{th} grade math BPS-prioritized standards were selected to equip for your child's mathematical understanding at the secondary level!

Your child will become a master of rational numbers, comparing them on a number line and using them in real-world situations. Adding and subtracting fractions and decimals, even to the hundredths place, will be a breeze.
Multiplication and division of these numbers won't hold them back either – they'll solve problems using visual models and apply their skills to authentic scenarios.

Numbers become more interesting as they explore greatest common factors and least common multiples, working together to find the building blocks of numbers. The world around them transforms into ratios and percents!
Your child will calculate unit rates, solve percent problems, and even use ratios to find missing parts in real-world situations.

Algebra steps onto the scene! They'll explore expressions with variables, both numeric and algebraic, and write them to represent real-life problems. Solving equations becomes a superpower as they tackle problems
involving addition, subtraction, and multiplication with variables.

Geometry takes on new dimensions as they explore the areas of triangles and quadrilaterals, even breaking them down into simpler shapes to find the answer. 3D shapes join the party – your child will delve into the concept
of volume and apply formulas to find the volume of rectangular prisms, no matter the size!

The coordinate plane becomes their playground as they explore all four quadrants, identifying points using ordered pairs of numbers. Data analysis skills become sharp as they calculate measures of center (like mean and
median) and variability (like range) to understand data sets. They'll create graphs and histograms to represent this data, becoming detectives of patterns and trends!
**This exciting 6 ^{th} grade math program will equip your child with the problem-solving and critical thinking skills they need to succeed in future math endeavors!
**

**Note**: Standards Identifiers auto-link to popup a detailed description and links to Proficiency Scales with Prioritized Standards Identifiers being highlighted a sky-blue.## MAT-06.NO** (NO) **Number and Operations

**MAT-06.NO.NS.01**Explain and show the relationship between non-zero rational numbers and their opposites using horizontal and vertical number lines, including authentic problems. Use rational numbers to represent quantities in authentic contexts and explain the meaning of 0 in certain situations.**MAT-06.NO.NS.02**Write, interpret, and explain statements of order for rational numbers on a number line and in authentic contexts.*

**MAT-06.NO.O.01**Divide multi-digit whole numbers up to four-digit dividends and two-digit divisors using strategies or procedures.**MAT-06.NO.O.02**Add and subtract fractions and decimals up to the hundredths place, including authentic problems.***MAT-06.NO.O.03**Apply multiplication and division of fractions and decimals to solve and interpret problems using visual models, including authentic problems.***MAT-06.NO.O.04**Determine the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.*

## MAT-06.AR** (AR) **Algebraic Reasoning

**MAT-06.AR.RP.01**Describe the concept of a ratio relationship between two quantities using ratio language and visual models.**MAT-06.AR.RP.02**Describe and calculate a unit rate when given a ratio relationship between two quantities using rate language and visual models.***MAT-06.AR.RP.03**Make and use tables of equivalent ratios, tape diagrams, double number line diagrams,and equations to solve problems involving ratios, rates, and unit rates, including authentic problems.**MAT-06.AR.RP.04**Calculate a percent of a quantity as a rate per 100. Solve problems using ratio reasoning involving finding the whole when given a part and the percent.***MAT-06.AR.RP.05**Convert measurement units within and between measurement systems using ratio reasoning given conversion factors.

**MAT-06.AR.EE.01**Read, write, and evaluate numerical expressions including expressions with whole number exponents and grouping symbols.***MAT-06.AR.EE.02**Read and evaluate algebraic expressions, including expressions with whole number exponents and grouping symbols. Write algebraic expressions to represent simple and authentic situations.***MAT-06.AR.EE.03**Identify when two expressions are equivalent. Apply the properties of operations to generate equivalent expressions.**MAT-06.AR.EE.04**Describe the concept of a solution of an equation and an inequality. Determine whether a given number is a solution to an equation or an inequality.**MAT-06.AR.EE.05**Write and solve equations of the form x + p = q and px = q for cases in which p and q are non-negative whole numbers or decimals, including authentic problems.***MAT-06.AR.EE.06**Write a statement of inequality of the form x > c or the form x < c to represent a constraint or condition. Recognize that inequalities of the form x > c or the form x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

## MAT-06.GM** (GM) **Geometry

**MAT-06.GM.AV.01**Derive the relationship of the areas of triangles using the area of rectangles. Calculate the areas of triangles and quadrilaterals by composing and/or decomposing them into rectangles and triangles, including authentic problems.***MAT-06.GM.AV.02**Describe the concept of volume of aright rectangular prism. Apply given formulas to calculate the volume of right rectangular prisms, including fractional edge lengths, including authentic problems.*

**MAT-06.GM.GF.01**Identify and position ordered pairs of rational numbers in all four quadrants of a coordinate plane.***MAT-06.GM.GF.02**Draw polygons in the coordinate plane given coordinates for the vertices. Determine the length of a side joining points with the same first or second coordinate, including authentic problems.**MAT-06.GM.GF.03**Represent three-dimensional figures using nets made up of rectangles and triangles (right prisms and pyramids whose bases are triangles and rectangles). Calculate the surface area of prisms with rectangular and triangular bases using nets, including authentic problems.

## MAT-06.DPS **(DPS) **Data Probability and Statistics

**MAT-06.DPS.DA.01**Write a statistical question that can be answered using measures of center or variability of a data set. Identify mode(s) if they exist.***MAT-06.DPS.DA.02**Calculate measures of center (median and mean) and variability (range and mean absolute deviation) to answer a statistical question.**MAT-06.DPS.DA.03**Identify outliers by observation and describe their effect on measures of center and variability. Justify which measures would be appropriate to answer a statistical question.**MAT-06.DPS.DA.04**Display numerical data in plots on a number line, including dot plots and histograms. Describe any overall patterns in data, such as gaps, clusters, and skews.