### 1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

1.6.1: The student represents and uses rational numbers in a variety of equivalent forms.

1.6.1.A: compare and order non-negative rational numbers;

1.6.1.B: generate equivalent forms of rational numbers including whole numbers, fractions, and decimals;

1.6.1.D: write prime factorizations using exponents;

1.6.1.E: identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers; and

1.6.2: The student adds, subtracts, multiplies, and divides to solve problems and justify solutions.

1.6.2.A: model addition and subtraction situations involving fractions with [objects,] pictures, words, and numbers;

1.6.2.B: use addition and subtraction to solve problems involving fractions and decimals;

1.6.2.C: use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates;

1.6.2.E: use order of operations to simplify whole number expressions (without exponents) in problem solving situations.

### 2: The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

2.6.3: The student solves problems involving direct proportional relationships.

2.6.3.A: use ratios to describe proportional situations;

2.6.3.B: represent ratios and percents with [concrete] models, fractions, and decimals; and

2.6.3.C: use ratios to make predictions in proportional situations.

2.6.4: The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.

2.6.4.A: use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area; and

2.6.4.B: use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.

2.6.5: The student uses letters to represent an unknown in an equation.

2.6.5.A: formulate equations from problem situations described by linear relationships.

### 3: The student will demonstrate an understanding of geometry and spatial reasoning.

3.6.6: The student uses geometric vocabulary to describe angles, polygons, and circles.

3.6.6.A: use angle measurements to classify angles as acute, obtuse, or right;

3.6.6.B: identify relationships involving angles in triangles and quadrilaterals; and

3.6.6.C: describe the relationship between radius, diameter, and circumference of a circle.

3.6.7: The student uses coordinate geometry to identify location in two dimensions.

3.6.7.A: locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.

### 4: The student will demonstrate an understanding of the concepts and uses of measurement.

4.6.8: The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles.

4.6.8.A: estimate measurements (including circumference) and evaluate reasonableness of results;

4.6.8.B: select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight;

### 5: The student will demonstrate an understanding of probability and statistics.

5.6.9: The student uses experimental and theoretical probability to make predictions.

5.6.9.A: construct sample spaces using lists and tree diagrams; and

5.6.9.B: find the probabilities of a simple event and its complement and describe the relationship between the two.

5.6.10: The student uses statistical representations to analyze data.

5.6.10.A: select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph[, and stem and leaf plot];

5.6.10.B: identify mean (using [concrete objects and] pictorial models), median, mode, and range of a set of data;

5.6.10.C: sketch circle graphs to display data; and

5.6.10.D: solve problems by collecting, organizing, displaying, and interpreting data.

Correlation last revised: 3/6/2012

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