### 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.8.02: Read, write, recognize, model, and interpret integers, including translating numerical expressions.

6.8.03: Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, percents, and roots).

6.8.04: Use scientific notation to represent numbers and solve problems.

6.8.06: Order and compare rational numbers.

6.8.07: Identify and locate rational and irrational numbers (e.g., pi, the square root of 2, the square root of 5) on a number line.

6.8.08: Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., exponents, roots, prime/composite, prime factorization, greatest common factor, least common multiple).

6.8.09: Solve problems and number sentences involving addition, subtraction, multiplication, and division using rational numbers, exponents, and roots.

6.8.10: Identify and apply order of operations to simplify numeric expressions involving integers (including exponents and roots), fractions, and decimals.

6.8.11: Identify and apply the following properties of operations with rational numbers:

6.8.11.a: the commutative and associative properties for addition and multiplication;

6.8.11.b: the distributive property;

6.8.11.d: the additive and multiplicative inverse properties; and

6.8.12: Describe the effect of multiplying and dividing by numbers, including the effect of multiplying or dividing a rational number by:

6.8.12.a: a number less than zero;

6.8.12.c: a number between zero and one; and

6.8.12.d: a number greater than one.

6.8.13: Select, use, and justify appropriate operations, methods, and tools to compute or estimate with rational numbers. Verify solutions and determine the reasonableness of results.

6.8.14: Estimate the square or cube root of a number less than 1,000 between two whole numbers (e.g., the cubed root of 200 is between 5 and 6).

6.8.15: Use ratios to describe problem situations.

6.8.16: Use proportional reasoning to model and solve problems.

6.8.17: Read, write, recognize, model, and interpret percents, including those less than 1% and greater than 100%.

6.8.18: Solve number sentences and problems involving fractions, decimals, and percents (e.g., percent increase and decrease, interest rates, tax, discounts, tips).

### 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.8.02: Solve problems involving perimeter/circumference and area of polygons, circles, and composite figures using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

7.8.03: Compare and estimate length (including perimeter/circumference), area, volume, weight/mass, and angles (0° to 360°) using referents.

7.8.04: Solve problems involving the volume or surface area of a right rectangular prism, right circular cylinder, or composite shape using an appropriate formula or strategy.

7.8.05: Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, square units, and measures expressed as rates (e.g., converting feet/second to yards/minute).

7.8.06: Solve problems involving scale drawings, maps, and indirect measurement (e.g., determining the height of a building by comparing its known shadow length to the known height and shadow length of another object).

### 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.8.01: Analyze, extend, and create sequences or linear functions, and determine algebraic expressions to describe the nth term of a sequence.

8.8.02: Write an expression using variables to represent unknown quantities.

8.8.03: Simplify algebraic expressions.

8.8.04: Recognize and generate equivalent forms of algebraic expressions.

8.8.07: Represent linear equations and quantitative relationships on a rectangular coordinate system, and interpret the meaning of a specific part of a graph.

8.8.08: Translate between different representations (table, written, graphical, or pictorial) of whole number relationships and linear expressions.

8.8.09: Interpret the meaning of slope and intercepts in linear situations.

8.8.10: Identify, graph, and interpret up to two inequalities with a single variable (including the intersection or union of these inequalities) on a number line.

8.8.11: Represent and analyze problems with linear equations and inequalities.

8.8.12: Solve linear equations and inequalities in one variable over the rational numbers (e.g., 5x+7= -13, 4x-3= -7x+8, -2x+3>-5).

### 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.8.01: Solve problems involving two- and three-dimensional shapes.

9.8.02: Solve problems that require knowledge of triangle and quadrilateral properties (e.g., triangle inequality).

9.8.04: Identify, describe, and determine the radius, diameter, and circumference of a circle and their relationship to each other and to pi.

9.8.05: Graph points, and identify coordinates of points on the Cartesian coordinate plane (all four quadrants).

9.8.06: Represent and identify geometric figures using coordinate geometry, including those resulting from transformations.

9.8.07: Analyze the results of a combination of transformations, and determine a different transformation that could produce the same result.

9.8.08: Identify or analyze relationships of angles formed by intersecting lines (including parallel lines cut by a transversal) and angles formed by radii of a circle.

9.8.09: Solve problems involving vertical, complementary, and supplementary angles.

9.8.11: Solve problems involving congruent and similar figures.

9.8.12: Relate absolute value to distance on the number line.

### 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.8.01: Read, interpret (including possible misleading characteristics), and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two or three circles), chart/table, line graph, scatterplot, circle graph, stem-and-leaf plot, or histogram.

10.8.02: Compare and contrast the effectiveness of different representations of the same data.

10.8.03: Create a bar graph, chart/table, line graph, or circle graph and solve a problem using the data in the graph for a given set of data.

10.8.04: Identify or draw a reasonable approximation of the line of best fit from a set of data or a scatter plot, and use the line to make predictions.

10.8.05: Analyze and apply measures of central tendency (mode, range, median, and mean) in problem-solving situations.

10.8.06: Solve problems involving the probability of an event composed of repeated trials, compound events (including independent events), or future events with or without replacement.

10.8.07: Represent all possible outcomes (sample space) for simple or compound events (e.g., tables, grids, tree diagrams).

10.8.08: Solve simple problems involving the number of ways objects can be arranged (permutations and combinations).

Correlation last revised: 5/10/2018

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