### 1: The learner will build an understanding of and compute with non-negative rational numbers (.01 to at least 100,000).

#### 1.01: Develop number sense for rational numbers from.01 to at least 100,000.

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 meanings and uses of fractions and decimals.

1.02.a: Use models, benchmarks (0,1/2,1, 1.5, 2 and so on), and reasoning to compare and order fractions and decimals.

1.02.b: Model and describe common equivalents among:

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

1.02.b.2: thirds, sixths, twelfths, and mixed numbers;

1.02.b.3: fifths, tenths, hundredths, and mixed numbers.

1.02.c: Understand and use mixed numbers and their equivalent fraction forms.

1.02.d: Make connections between fractions and decimals.

#### 1.03: Develop fluency and flexibility with multiplication and division involving:

1.03.a: tables 0-12;

1.03.b: up to two-digit by one-digit multiplication;

1.03.d: up to three-digit by one-digit division with and without remainders (larger numbers with calculator);

1.03.e: estimation of products and quotients and justification of the reasonableness of solutions in meaningful contexts.

#### 1.04: Develop fluency with addition and subtraction of decimals and fractions with like denominators.

1.04.a: Develop and analyze strategies for adding and subtracting numbers.

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

### 3: The learner will demonstrate an understanding of symmetry, transformations, area and perimeter.

#### 3.03: Solve problems involving area and perimeter.

3.03.b: Create physical and pictorial models of area with and without grids.

3.03.c: Estimate and measure area of rectangles.

3.03.d: Estimate and measure perimeter of two-dimensional shapes.

### 4: The learner will understand and use graphs, probability and data analysis.

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

4.01.a: Pose questions and design investigations that involve comparing two sets of related data each represented on the same type of graph using the same scale.

4.01.b: Collect, organize, analyze and display data using various representations including line graphs.

4.01.c: Analyze data presented in graphs, including circle graphs.

4.01.d: Compare two distributions of data, including their shapes, measures of center (mode, median) and variability (minimum and maximum values, unusual data points, and range).

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

4.02.a: Determine probability of an event from a context that includes a visual representation.

4.02.b: List all possible outcomes (sample space) of a situation or an event.

### 5: The learner will demonstrate an understanding of mathematical relationships.

#### 5.01: Analyze nonnumeric and numeric growing patterns.

5.01.a: Use rules to describe these patterns as functional relationships (arithmetic sequences only).

5.01.b: Create, extend, and find missing terms.

#### 5.02: Model, write and evaluate whole number equations.

5.02.a: Solve problems, including using variables to represent unknown quantities.

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.