### 1: Number, Number Sense and Operations

#### 1.B: Compare, order and convert among fractions, decimals and percents.

1.B.1: Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole.

1.B.2: Use various forms of "one" to demonstrate the equivalence of fractions; e.g., 8/24 = 9/12 x 2/2 = 3/4 x 6/6.

1.B.3: Identify and generate equivalent forms of fractions, decimals and percents.

#### 1.D: Use models and pictures to relate concepts of ratio, proportion and percent.

1.D.1: Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole.

#### 1.E: Use order of operations, including use of parenthesis and exponents to solve multi-step problems, and verify and interpret the results.

1.E.9: Use order of operations, including use of parentheses, to simplify numerical expressions.

#### 1.F: Apply number system properties when performing computations.

1.F.7: Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations.

1.F.8: Identify and use relationships between operations to solve problems.

#### 1.H: Use and analyze the steps in standard and non-standard algorithms for computing with fractions, decimals and integers.

1.H.11: Explain how place value is related to addition and subtraction of decimals; e.g., 0.2 + 0.14; the two tenths is added to the one tenth because they are both tenths.

#### 1.I: Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

1.I.12: Use physical models, points of reference, and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals.

1.I.13: Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

### 2: Measurement

#### 2.B: Convert units of length, area, volume, mass and time within the same measurement system.

2.B.5: Make conversions within the same measurement system while performing computations.

#### 2.C: Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders.

2.C.6: Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular prisms.

#### 2.F: Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed.

2.F.4: Demonstrate understanding of the differences among linear units, square units and cubic units.

#### 2.G: Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes.

2.G.4: Demonstrate understanding of the differences among linear units, square units and cubic units.

### 3: Geometry and Spatial Sense

#### 3.A: Identify and label angle parts and the regions defined within the plane where the angle resides.

3.A.2: Use standard language to describe line, segment, ray, angle, skew, parallel and perpendicular.

#### 3.C: Specify locations and plot ordered pairs on a coordinate plane.

3.C.6: Extend understanding of coordinate system to include points whose x or y values may be negative numbers.

#### 3.D: Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

3.D.2: Use standard language to describe line, segment, ray, angle, skew, parallel and perpendicular.

### 4: Patterns, Functions and Algebra

#### 4.C: Use variables to create and solve equations and inequalities representing problem situations.

4.C.4: Create and interpret the meaning of equations and inequalities representing problem situations.

#### 4.F: Use representations, such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.

4.F.5: Model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions and make predictions.

#### 4.K: Graph linear equations and inequalities.

4.K.5: Model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions and make predictions.

### 5: Data Analysis and Probability

#### 5.A: Read, create and use line graphs, histograms, circle graphs, box-and-whisker plots, stem-and-leaf plots, and other representations when appropriate.

5.A.1: Read, construct and interpret frequency tables, circle graphs and line graphs.

#### 5.D: Compare increasingly complex displays of data, such as multiple sets of data on the same graph.

5.D.3: Read and interpret increasingly complex displays of data, such as double bar graphs.

#### 5.E: Collect, organize, display and interpret data for a specific purpose or need.

5.E.2: Select and use a graph that is appropriate for the type of data to be displayed; e.g., numerical vs. categorical data, discrete vs. continuous data.

5.E.4: Determine appropriate data to be collected to answer questions posed by students or teacher, collect and display data, and clearly communicate findings.

#### 5.F: Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data.

5.F.6: Determine and use the range, mean, median and mode, and explain what each does and does not indicate about the set of data.

#### 5.H: Find all possible outcomes of simple experiments or problem situations, using methods such as lists, arrays and tree diagrams.

5.H.7: List and explain all possible outcomes in a given situation.

#### 5.I: Describe the probability of an event using ratios, including fractional notation.

5.I.9: Use 0,1 and ratios between 0 and 1 to represent the probability of outcomes for an event, and associate the ratio with the likelihood of the outcome.

#### 5.J: Compare experimental and theoretical results for a variety of simple experiments.

5.J.10: Compare what should happen (theoretical/expected results) with what did happen (experimental/actual results) in a simple experiment.

#### 5.K: Make and justify predictions based on experimental and theoretical probabilities.

5.K.11: Make predictions based on experimental and theoretical probabilities.

### 6: Mathematical Processes

#### 6.H: Use representations to organize and communicate mathematical thinking and problem solutions.

Correlation last revised: 8/29/2016

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