### 1: The learner will demonstrate an understanding of fractions and whole number operations.

#### 1.01: Develop number sense for rational numbers to at least 10,000.

1.01.b: Identify the place and the value of a given digit in order to determine the magnitude of the number.

1.01.c: Compare and order (including the use of symbolic notation).

#### 1.02: Develop understanding of the part-whole meaning of fractions as sharing equally with area, set, region, and length models.

1.02.a: Use models and benchmarks (0, 1/2, 1) to compare and order fractions including common equivalents.

1.02.b: Model and describe common equivalents among:

1.02.b.1: halves, fourths, and eighths;

#### 1.03: Develop fluency and flexibility with multi-digit addition and subtraction.

1.03.a: Use strategies for adding and subtracting numbers (including, but not limited to, standard algorithms)

1.03.b: Estimate sums and differences and justify the reasonableness of solutions in meaningful contexts.

#### 1.04: Demonstrate conceptual understanding of the meaning of multiplication and division through multiple models.

1.04.a: Make connections about the multiples and factors of a given number.

1.04.b: Analyze the relationship between multiplication and division.

### 2: The learner will apply the processes and components of measuring using customary measurement units.

#### 2.01: Develop an understanding of and use the processes for measuring with customary units of measurement (length, weight, capacity, and temperature) recognizing that:

2.01.b: larger units can be subdivided into equivalent units (partitioning),

### 3: The learner will use the rectangular coordinate system and the basic geometric properties of two-dimensional shapes.

#### 3.02: Use rectangular coordinate system to:

3.02.a: graph and identify points with whole number or letter coordinates,

3.02.b: describe possible paths between given points on the plane,

### 4: The learner will use and understand the statistical process and simple probability concepts.

#### 4.01: Use the process of statistical investigation.

4.01.a: Pose questions that involve collecting categorical and numerical data.

4.01.c: Collect, organize, represent and analyze data using various representations including tables and bar graphs.

4.01.d: Describe the shape of set of data and important features, including concepts of mode and variability (minimum and maximum values and range).

#### 4.02: Understand situations involving simple probability.

4.02.a: Judge the probability of events as being (certain, likely, equally likely, unlikely, possible, or impossible) to occur.

4.02.b: Conduct simple probability experiments.

### 5: The learner will explore functional relationships and use variables.

#### 5.02: Model, write and evaluate simple multiplication and division equations.

5.02.a: Represent a problem including using variables to represent unknown quantities.

5.02.b: Demonstrate an understanding of equality.

5.02.c: Find the value of variables.

#### 5.03: Demonstrate an understanding of the commutative and identity properties for addition and multiplication.

Correlation last revised: 9/3/2015

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