### 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 1: Make models that represent improper fractions.

1.1.PO 2: Identify symbols, words, or models that represent improper fractions.

1.1.PO 4: Compare two proper fractions or improper fractions with like denominators.

1.1.PO 5: Order three or more unit fractions, proper or improper fractions with like denominators or mixed numbers with like denominators.

1.1.PO 6: Compare two whole numbers, fractions, and decimals. (e.g., 1/2 to 0.6)

1.1.PO 7: Order whole numbers, fractions, and decimals.

1.1.PO 8: Determine the equivalency between and among fractions, decimals, and percents in contextual situations.

1.1.PO 9: Identify all whole number factors and pairs of factors for a number.

1.1.PO 10: Recognize that 1 is neither a prime nor a composite number.

1.1.PO 11: Sort whole numbers (through 50) into sets containing only prime numbers or only composite numbers.

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

1.2.PO 5: Demonstrate the distributive property of multiplication over addition.

1.2.PO 11: Add or subtract proper fractions and mixed numbers with like denominators with regrouping.

1.2.PO 12: Add or subtract decimals.

1.2.PO 13: Multiply decimals.

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

1.3.PO 3: Round to estimate quantities.

1.3.PO 4: Estimate and measure for area and perimeter.

### 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 double-bar graph, line plot, frequency table or three-set Venn diagram with appropriate labels and title from organized data.

2.1.PO 3: Interpret graphical representations and data displays including bar graphs (including double-bar), circle graphs, frequency tables, three-set Venn diagrams, and line graphs that display continuous data.

2.1.PO 4: Answer questions based on graphical representations, and data displays including bar graphs (including double-bar), circle graphs, frequency tables, three-set Venn diagrams, and line graphs that display continuous data.

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

2.1.PO 8: 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 -

2.2.PO 2.a: certain (represented by "1");

2.2.PO 2.b: impossible, (represented by "0");

2.2.PO 2.c: neither certain nor impossible; (represented by a fraction less than 1).

### 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: Solve grade level appropriate iterative 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)

#### 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. (e.g., 15 = 45 ÷ n)

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

3.4.PO 1: Describe patterns of change.

3.4.PO 1.a: constant rate (speed of movement of the hands on a clock)

### 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 9: Identify the diameter, radius and circumference of a circle.

4.1.PO 13: Identify the lines of symmetry in a two-dimensional shape.

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

4.2.PO 1: Demonstrate reflections using geometric figures.

4.2.PO 2: Describe the transformations that created a tessellation.

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

4.4.PO 6: Determine the area of figures composed of two or more rectangles on a grid.

4.4.PO 8: Describe the change in perimeter or area when one attribute (length, width) of a rectangle is altered.

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.