### 1: Number, Number Sense and Operations

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

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.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.10: Justify why fractions need common denominators to be added or subtracted.

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.4: Round decimals to a given place value and round fractions (including mixed numbers) to the nearest half.

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.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.C.7: Use benchmark angles (e.g.; 45°, 90°, 120°) to estimate the measure of angles, and use a tool to measure and draw angles.

#### 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.3: Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.

#### 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.3: Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.

### 3: Geometry and Spatial Sense

#### 3.B: Draw circles, and identify and determine the relationships among the radius, diameter, center and circumference.

3.B.1: Draw circles, and identify and determine relationships among the radius, diameter, center and circumference; e.g., radius is half the diameter, the ratio of the circumference of a circle to its diameter is an approximation of pi.

#### 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.

### 4: Patterns, Functions and Algebra

#### 4.A: Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

4.A.1: Justify a general rule for a pattern or a function by using physical materials, visual representations, words, tables or graphs.

4.A.2: Use calculators or computers to develop patterns, and generalize them using tables and graphs.

#### 4.B: Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules.

4.B.3: Use variables as unknown quantities in general rules when describing patterns and other relationships.

#### 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.E: Use rules and variables to describe patterns, functions and other relationships.

4.E.3: Use variables as unknown quantities in general rules when describing patterns and other relationships.

#### 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.G: Write, simplify and evaluate algebraic expressions.

4.G.3: Use variables as unknown quantities in general rules when describing patterns and other relationships.

#### 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.

#### 4.L: Analyze functional relationships, and explain how a change in one quantity results in a change in the other.

4.L.6: Describe how the quantitative change in a variable affects the value of a related variable; e.g., describe how the rate of growth varies over time, based upon data in a table or graph.

### 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.C: Evaluate interpretations and conclusions as additional data are collected, modify conclusions and predictions, and justify new findings.

5.C.5: Modify initial conclusions, propose and justify new interpretations and predictions as additional data are collected.

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

5.I.8: Identify the probability of events within a simple experiment, such as three chances out of eight.

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.

Correlation last revised: 2/10/2015

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