### M05.A-T: Numbers and Operations in Base Ten

#### M05.A-T.1: Understand the place-value system.

M05.A-T.1.1: Demonstrate understanding of place-value of whole numbers and decimals, and compare quantities or magnitudes of numbers.

M05.A-T.1.1.1: Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left.

M05.A-T.1.1.3: Read and write decimals to thousandths using base-ten numerals, word form, and expanded form.

1.1.1.3.1: 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (0.1) + 9 × (0.01) + 2 × (0.001)

M05.A-T.1.1.4: Compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols.

#### M05.A-T.2: Perform operations with multi-digit whole numbers and with decimals to hundredths.

M05.A-T.2.1: Use whole numbers and decimals to compute accurately (straight computation or word problems).

M05.A-T.2.1.1: Multiply multi-digit whole numbers (not to exceed three-digit by three-digit).

M05.A-T.2.1.2: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.

M05.A-T.2.1.3: Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals).

### M05.A-F: Numbers and Operations—Fractions

#### M05.A-F.1: Use equivalent fractions as a strategy to add and subtract fractions.

M05.A-F.1.1: Solve addition and subtraction problems involving fractions (straight computation or word problems).

M05.A-F.1.1.1: Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.)

#### M05.A-F.2: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

M05.A-F.2.1: Solve multiplication and division problems involving fractions and whole numbers (straight computation or word problems).

M05.A-F.2.1.1: Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers).

### M05.B-O: Operations and Algebraic Thinking

#### M05.B-O.1: Write and interpret numerical expressions.

M05.B-O.1.1: Analyze and complete calculations by applying the order of operations.

M05.B-O.1.1.1: Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions and evaluate expressions containing these symbols.

#### M05.B-O.2: Analyze patterns and relationships.

M05.B-O.2.1: Create, extend, and analyze patterns.

M05.B-O.2.1.1: Generate two numerical patterns using two given rules.

M05.B-O.2.1.2: Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules.

### M05.C-G: Geometry

#### M05.C-G.1: Graph points on the coordinate plane to solve real-world and mathematical problems.

M05.C-G.1.1: Identify parts of a coordinate grid and describe or interpret points given an ordered pair.

M05.C-G.1.1.1: Identify parts of the coordinate plane (x-axis, y-axis, and the origin) and the ordered pair (x-coordinate and y-coordinate). Limit the coordinate plane to quadrant I.

M05.C-G.1.1.2: Represent real-world and mathematical problems by plotting points in quadrant I of the coordinate plane and interpret coordinate values of points in the context of the situation.

#### M05.C-G.2: Classify two-dimensional figures into categories based on their properties.

M05.C-G.2.1: Use basic properties to classify two-dimensional figures.

M05.C-G.2.1.1: Classify two-dimensional figures in a hierarchy based on properties.

### M05.D-M: Measurement and Data

#### M05.D-M.1: Convert like measurement units within a given measurement system.

M05.D-M.1.1: Solve problems using simple conversions (may include multistep, real-world problems).

M05.D-M.1.1.1: Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided.

5.1.1.1.1: Convert 5 cm to meters.

#### M05.D-M.2: Represent and interpret data.

M05.D-M.2.1: Organize, display, and answer questions based on data.

M05.D-M.2.1.2: Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs, and use a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

#### M05.D-M.3: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

M05.D-M.3.1: Use, describe, and develop procedures to solve problems involving volume.

M05.D-M.3.1.1: Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems. Formulas will be provided.

M05.D-M.3.1.2: Find volumes of solid figures composed of two non-overlapping right rectangular prisms.

Correlation last revised: 9/15/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.