### 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 place values for whole numbers. (e.g., In the number 203,495 what is the value of the 2?)

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

1.1.PO 6: Apply expanded notation to model place value. (e.g., 203,495 = 200,000 + 3,000 + 400 + 90 + 5)

1.1.PO 10: Identify symbols, words, or models that represent mixed numbers.

1.1.PO 12: Compare two unit fractions (e.g., ½ to 1/5) or proper or mixed numbers with like denominators.

1.1.PO 13: Order three or more unit fractions or proper or improper fractions with like denominators.

1.1.PO 14: Use decimals in contextual situations.

1.1.PO 15: Compare two decimals.

1.1.PO 16: Order three or more decimals.

1.1.PO 17: Determine the equivalency among decimals, fractions, and percents. (e.g., 49/100 = 0.49 = 49%)

1.1.PO 18: Identify all whole-number factors and pairs of factors for a given whole number through 144.

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

1.2.PO 7: State multiplication and division facts through 12s.

1.2.PO 12: Add or subtract fractions with like denominators, no regrouping.

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

1.3.PO 2: Use estimation to verify the reasonableness of a calculation. (e.g., Is 3284 x 343 = 1200 reasonable?)

1.3.PO 4: Estimate and measure for distance.

### 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 single-bar graph, line graph or two -set Venn diagram with appropriate labels and title from organized data.

2.1.PO 3: Interpret graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data.

2.1.PO 4: Answer questions based on graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data.

2.1.PO 5: Identify the mode(s) of given data.

2.1.PO 7: Solve contextual problems using graphs, charts, and tables.

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

2.2.PO 2: Describe the probability of events as being more likely, less likely, equally likely, unlikely, certain, impossible, fair or unfair.

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 7: 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 iterative pattern.

3.1.PO 3: Create grade level appropriate iterative patterns.

#### 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)

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

3.3.PO 3: Solve one-step equations with one variable represented by a letter or symbol using multiplication of whole numbers. (e.g., 12 = n x 4)

#### 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 8: Draw a two-dimensional shape that has line symmetry.

#### 4.2: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

4.2.PO 1: Demonstrate translation using geometric figures.

#### 4.3: Specify and describe spatial relationships using coordinate geometry and other representational systems.

4.3.PO 1: Name the coordinates of a point plotted in the first quadrant.

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

4.4.PO 8: Determine perimeter of simple polygons. (e.g. square, rectangle, triangle)

4.4.PO 9: Determine area of squares and rectangles.

4.4.PO 10: Differentiate between perimeter and area of quadrilaterals.

### 5: Structure and Logic

#### 5.2: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions and recognize their applications.

5.2.PO 1: Draw a conclusion from a Venn diagram.

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.