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

1.8.1: The student understands that different forms of numbers are appropriate for different situations.

1.8.1.A: compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals;

1.8.1.B: select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships;

1.8.1.C: approximate (mentally [and with calculators]) the value of irrational numbers as they arise from problem situations (such as π, √2); and

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

2.8.3: The student identifies proportional or non-proportional linear relationships in problem situations and solves problems.

2.8.3.B: estimate and find solutions to application problems involving percents and other proportional relationships such as similarity and rates.

2.8.4: The student makes connections among various representations of a numerical relationship.

2.8.4.A: generate a different representation of data given another representation of data (such as a table, graph, equation, or verbal description).

2.8.5: The student uses graphs, tables, and algebraic representations to make predictions and solve problems.

2.8.5.A: predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations; and

2.8.5.B: find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change).

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

3.8.6: The student uses transformational geometry to develop spatial sense.

3.8.6.A: generate similar figures using dilations including enlargements and reductions; and

3.8.6.B: graph dilations, reflections, and translations on a coordinate plane.

3.8.7: The student uses geometry to model and describe the physical world.

3.8.7.B: use geometric concepts and properties to solve problems in fields such as art and architecture;

3.8.7.C: use pictures or models to demonstrate the Pythagorean Theorem; and

3.8.7.D: locate and name points on a coordinate plane using ordered pairs of rational numbers.

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

4.8.8: The student uses procedures to determine measures of three-dimensional figures.

4.8.8.A: find lateral and total surface area of prisms, pyramids, and cylinders using [concrete] models and nets (two-dimensional models); and

4.8.8.C: estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.

4.8.9: The student uses indirect measurement to solve problems.

4.8.9.A: use the Pythagorean Theorem to solve real-life problems; and

4.8.9.B: use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements.

4.8.10: The student describes how changes in dimensions affect linear, area, and volume measures.

4.8.10.A: describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally; and

4.8.10.B: describe the resulting effect on volume when dimensions of a solid are changed proportionally.

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

5.8.11: The student applies concepts of theoretical and experimental probability to make predictions.

5.8.11.A: find the probabilities of dependent and independent events; and

5.8.11.B: use theoretical probabilities and experimental results to make predictions and decisions.

5.8.12: The student uses statistical procedures to describe data

5.8.12.A: select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation;

5.8.12.B: draw conclusions and make predictions by analyzing trends in scatterplots; and

5.8.12.C: select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, [stem and leaf plots,] circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, [with and] without the use of technology.

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.