BPS District Mathematics Standards Book
Completion requirements
K-8 Grade Levels
Grade 05
Note: Standards Identifiers auto-link to popup a detailed description with "I can ..." and Proficiency Scales.
Prioritized Standards Identifiers are highlighted a sky-blue.
Prioritized Standards Identifiers are 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.*