# BPS District Mathematics Standards Book

## K-8 Grade Levels

### Grade 05

The 5^{th} grade math BPS-prioritized standards were selected to take your child's mathematical understanding to a whole new level!

Decimals will become second nature as they learn to read, write, and round them to any place value with ease. Multiplication and division of whole numbers become a breeze with flexible strategies, and decimals join the party
too! Your child will conquer addition, subtraction, and multiplication of decimals to the hundredths place using creative models and a strong understanding of place value.

Fractions won't be forgotten! They'll explore equivalent forms, making them fraction masters. Word problems become even more challenging and rewarding as they solve them involving fractions and mixed numbers with unlike
denominators. Visual models and equations will be their secret weapons for conquering addition, subtraction, and even multiplication of these complex fractions.

Problem-solving skills reach new heights as they automatically multiply and divide up to 12x12. The order of operations becomes their superpower, allowing them to solve and evaluate expressions with confidence. Numbers
will be classified as prime or composite, and they'll delve deeper into the world of factors and multiples.

The world around them transforms into a coordinate plane! Your child will explore graphing points using ordered pairs to solve real-world problems. Measurement conversions become a snap as they navigate between different
units in both customary and metric systems, tackling multi-step word problems with ease. Finding the area and perimeter of rectangles, even those with fractional side lengths, will be a familiar feat.

Finally, data analysis skills will flourish as they learn to represent information from tables and line plots using graphs and diagrams. They'll use this newfound skill to analyze and solve word problems involving whole
numbers, fractions, and decimals, making them true math detectives!
**This exciting 5 ^{th} grade math program will equip your child with the problem-solving and critical thinking skills they need to conquer future math adventures!
**

**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-05.NO** (NO) **Number and Operations

**MAT-05.NO.CC.01**Read and write decimals to the thousandths including standard, word, and expanded forms.*

**MAT-05.NO.NBT.01**Understand that in a multi-digit whole number, a digit in one place represents ten times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.**MAT-05.NO.NBT.02**Compare two decimals to the thousandths place using symbols >, <, and =. Justify comparisons based on the value of the digits.**MAT-05.NO.NBT.03**Apply place value understanding to round decimals to any place.***MAT-05.NO.NBT.04**Multiply multi-digit whole numbers using strategies flexibly, including the algorithm.***MAT-05.NO.NBT.05**Use concrete models, drawings, place value strategies, properties of operations and/or relationships to add, subtract, and multiply decimals to hundredths.***MAT-05.NO.NBT.06**Find whole-number quotients and remainders with up to four-digit dividends and two- digit divisors using place value strategies. Show and justify the calculation by using equations, rectangular arrays, and/or area models.***MAT-05.NO.NBT.07**Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.*

**MAT-05.NO.NF.01**Generate equivalent forms of commonly used fractions and decimals (e.g., halves, fourths,fifths, tenths).***MAT-05.NO.NF.02**Explain why multiplying a given number by a fraction greater than one results in a product greater than the given number and explain why multiplying a given number by a fraction less than one results in a product smaller than the given number.**MAT-05.NO.NF.03**Solve authentic word problems by adding and subtracting fractions and mixed numbers with unlike denominators using visual fraction models and equations.***MAT-05.NO.NF.04**Solve authentic word problems by multiplying fractions and mixed numbers using visual fraction models and equations.*

## MAT-05.AR** (AR) **Algebraic Reasoning

**MAT-05.AR.OA.01**Automatically multiply and divide through 12 x 12.***MAT-05.AR.OA.02**Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.***MAT-05.AR.OA.03**Write simple expressions that record calculations with numbers. Interpret numerical expressions without evaluating them.**MAT-05.AR.OA.04**Find factor pairs and multiples within the range of 1-100 while classifying numbers as prime or composite.***MAT-05.AR.OA.05**Generate two numerical patterns using two given rules and form ordered pairs consisting of corresponding terms from the two patterns.

## MAT-05.GM** (GM) **Geometry

**MAT-05.GM.G.01**Classify two-dimensional figures in a hierarchy based on properties.**MAT-05.GM.G.02**Identify the x-coordinate and y-coordinate to graph and name points in the first quadrant of the coordinate plane.**MAT-05.GM.G.03**Form ordered pairs and graph points in the first quadrant on the coordinate plane to solve authentic word problems.*

**MAT-05.GM.M.01**Generate conversions among different- sized standard measurement units within a given measurement system, both customary and metric systems. Use these conversions in solving multi- step, authentic word problems.***MAT-05.GM.M.02**Find the area and perimeter of a rectangle, including connected rectangular figures,with fractional side lengths.***MAT-05.GM.M.03**Recognize volume as an attribute of rectangular prisms and measure volume by counting unit cubes.

## MAT-05.DPS **(DPS) **Data Probability and Statistics

**MAT-05.DPS.D.01**Generate data and create line plots to display a data set of unit fractions (½, ¼, ⅛). Use grade-level operations for fractions to solve problems involving information presented in line plots.**MAT-05.DPS.D.02**Utilize graphs and diagrams to represent, analyze, and solve authentic word problems using information presented in one or more tables or line plots including whole numbers,fractions, and decimals.*