### 1: Number Sense and Operations

#### 1.1: Understand and apply numbers, ways of representing numbers, the relationships among numbers and different number systems.

1.1.PO 4: State whole numbers, through six-digits, with correct place value, by using models, illustrations, symbols, or expanded notation. (e.g., 53,941 = 50,000 + 3,000 + 900 + 40 +1)

1.1.PO 5: Construct models to represent place value concepts for the one's, ten's, and hundred's places.

1.1.PO 6: Apply expanded notation to model place value through 9,999. (e.g., 5,378 = 5,000 + 300 + 70 + 8)

1.1.PO 8: Compare two whole numbers, through six-digits.

1.1.PO 10: Make models that represent proper fractions (halves, thirds, fourths, eighths and tenths).

1.1.PO 11: Identify symbols, words, or models that represent proper fractions.

1.1.PO 12: Use proper fractions in contextual situations.

1.1.PO 13: Compare two proper fractions with like denominators.

1.1.PO 14: Order three or more proper fractions with like denominators (Halves, thirds, fourths, eighths and tenths).

1.1.PO 16: Use decimals through hundredths in contextual situations.

1.1.PO 17: Compare two decimals, through hundredths, using models, illustrations, or symbols.

1.1.PO 18: Order three or more decimals, through hundredths, using models, illustrations, or symbols.

1.1.PO 19: Determine the equivalency among decimals, fractions, and percents. (e.g., Half-dollar = 50ยข = 50% and 1/4 = 0.25 = 25%)

1.1.PO 20: Identify whole-number factors and/or pairs of factors for a given whole number through 24.

#### 1.2: Understand and apply numerical operations and their relationship to one another.

1.2.PO 7: Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.

1.2.PO 8: Demonstrate the process of division with one-digit divisors (Separating elements of a set into smaller equal sets, sharing equally, or repeatedly subtracting the same number).

1.2.PO 10: State multiplication and division facts through 9s.

1.2.PO 11: Demonstrate the commutative and identity properties of multiplication.

1.2.PO 12: Identify multiplication and division as inverse operations.

1.2.PO 16: Add or subtract fractions with like denominators (halves, thirds, fourths, eighths, and tenths) appropriate to grade level.

#### 1.3: Use estimation strategies reasonably and fluently.

1.3.PO 3: Record estimated and actual linear measurements for real life objects (e.g. length of fingernail; height of desk).

1.3.PO 4: Compare estimations of appropriate measures to the actual measures.

### 2: Data Analysis, Probability, and Discrete Mathematics

#### 2.1: Understand and apply data collection, organization and representation to analyze and sort data.

2.1.PO 2: Construct a horizontal bar, vertical bar, pictograph, or tally chart with appropriate labels and title from organized data.

2.1.PO 3: Interpret data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

2.1.PO 4: Answer questions based on data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

2.1.PO 5: Formulate questions based on graphs, charts, and tables to solve problems.

2.1.PO 6: Solve problems using graphs, charts and tables.

#### 2.2: Understand and apply the basic concepts of probability.

2.2.PO 2: Make predictions about the probability of events being more likely, less likely, equally likely or unlikely.

2.2.PO 3: Predict the outcome of a grade level appropriate probability experiment.

2.2.PO 4: Record the data from performing a grade level appropriate probability experiment.

2.2.PO 6: Compare the results of two repetitions of the same grade level appropriate probability experiment.

### 3: Patterns, Algebra, and Functions

#### 3.1: Identify patterns and apply pattern recognition to reason mathematically.

3.1.PO 1: Communicate a grade level appropriate iterative pattern, using symbols or numbers.

3.1.PO 2: Extend a grade level appropriate repetitive pattern. (e.g., 5, 10, 15, 20,...rule: add five or count by five's)

3.1.PO 3: Solve grade level appropriate pattern problems.

#### 3.2: Describe and model functions and their relationships.

3.2.PO 1: Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model and frames and arrows)

#### 3.3: Represent and analyze mathematical situations and structures using algebraic representations.

3.3.PO 2: Solve equations with one variable using missing addends to sums of 18 (e.g., __ + 9 = 18, 9 + __ = 18); using minuend through 18. (e.g., 18 - __ = 9, 18 - 9 = __)

#### 3.4: Analyze change in a variable over time and in various contexts.

3.4.PO 1: Identify the change in a variable over time. (e.g., an object gets taller, colder, heavier, etc.)

### 4: Geometry and Measurement

#### 4.1: Analyze the attributes and properties of two and three dimensional shapes and develop mathematical arguments about their relationships.

4.1.PO 5: Identify a line of symmetry in a two-dimensional shape.

#### 4.4: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

4.4.PO 1: Select the appropriate measure of accuracy:

4.4.PO 1.a: length - centimeters , meters; kilometers

4.4.PO 4: Measure a given object using the appropriate unit of measure:

4.4.PO 4.a: length - centimeters, millimeters, meters, kilometers

4.4.PO 6: Compare units of measure to determine more or less relationships for:

4.4.PO 6.a: length - inches to feet; centimeters to meters;

4.4.PO 9: Determine the perimeter using a rectangular array.

4.4.PO 10: Represent area using a rectangular array.

Correlation last revised: 1/20/2017

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