### 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 0.001 at least to 1,000,000.

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).

1.01.d: Identify factors and multiples including square, prime, and composite whole numbers to 100.

1.02.b: up to three-digit by two-digit division with and without remainders (larger numbers with calculators).

1.02.c: estimation of products and quotients and justification of the reasonableness of solutions in meaningful contexts.

#### 1.03: Develop fluency with addition and subtraction of decimals and fractions with unlike denominators (within fraction families):

1.03.1: halves, fourths, eighths, sixteenths and mixed numbers;

1.03.2: thirds, sixths, twelfths and mixed numbers;

1.03.3: fifths, tenths, hundredths, thousandths and mixed numbers.

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

### 4: The learner will analyze data representations using statistical concepts.

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

4.01.a: Pose questions, formulate hypotheses, and design studies involve single or multiple sets of data to investigate and verify hypotheses.

4.01.b: Collect, organize, analyze, and display data using various representations, including stem-and-leaf plots.

4.01.c: Analyze data using measures of center (mode, median) and variability (minimum and maximum values, unusual data points, and range).

4.01.d: Explore the mean as a measure of center and its interpretation as a fair share.

### 5: The learner will demonstrate an understanding of patterns, relationships and elementary algebraic representations.

#### 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.

5.01.c: Display numeric results using coordinate graphs.

5.01.d: Write equations with symbolic rules.

#### 5.02: Model, write and evaluate whole number equations and equations involving addition/subtraction of decimals and fractions.

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

#### 5.03: Develop and test generalizations based on observations of patterns and relationships:

5.03.a: identity property for addition and multiplication,

5.03.b: associative property for addition and multiplication, and

5.03.c: distributive property.

Correlation last revised: 9/3/2015

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