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

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

6.7.03: Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, and percents less than 100%).

6.7.04: Represent repeated factors using exponents.

6.7.05: Order and compare integers, terminating decimals, fractions, and mixed numbers.

6.7.06: Identify and locate integers, decimals, and fractions/mixed numbers on a number line, and estimate the locations of square roots.

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

6.7.08: Solve problems and number sentences involving addition, subtraction, multiplication, and division using integers, fractions, and decimals.

6.7.09: Identify and apply order of operations to simplify numeric expressions involving whole numbers (including exponents), fractions, and decimals.

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

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

6.7.10.b: the distributive property;

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

6.7.11: Demonstrate and apply the relationships between addition/subtraction and multiplication/division with rational numbers.

6.7.13: Estimate the square root of a number less than 1,000 between two whole numbers (e.g., the square root of 41 is between 6 and 7).

6.7.14: Create and explain ratios that represent a given situation.

6.7.15: Use proportional reasoning to model and solve problems.

6.7.16: Read, write, recognize, model, and interpret percents from 0% to 100%.

6.7.17: Solve number sentences and problems involving fractions, decimals, and percents (e.g., 50% of 10 is the same as 1/2 of 10 is the same as 0.5×10, sales tax, tips, interest, discounts).

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

7.7.01: Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles. Sketch, with given specifications, line segments, angles, triangles, and quadrilaterals.

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

7.7.03: Compare and estimate length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

7.7.04: Determine the volume and surface area of a right rectangular prism using an appropriate formula or strategy.

7.7.05: Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, and square units (e.g., 1 ft² = 144 in²).

7.7.06: Solve problems involving scale drawings and maps.

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

8.7.01: Determine a missing term in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of an arithmetic or geometric sequence.

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

8.7.03: Simplify algebraic expressions by identifying and combining like terms.

8.7.04: Recognize equivalent forms of algebraic expressions.

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

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

8.7.09: Identify, graph, and interpret inequalities on a number line.

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

8.7.11: Solve linear equations in one variable (e.g., 2x + 3 = 13) and inequalities involving < or > (e.g., 2x<6, x+7>10).

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

9.7.01: Classify, describe, and sketch regular and irregular two-dimensional shapes according to the number of sides, length of sides, number of vertices, and interior angles.

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

9.7.03: Solve problems using properties of triangles and quadrilaterals (e.g., opposite sides of a parallelogram are congruent).

9.7.04: Identify, describe, and determine the radius and diameter of a circle.

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

9.7.11: Identify a three-dimensional object from its net.

9.7.14: Determine if figures are similar, and identify relationships between corresponding parts of similar figures.

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

10.7.01: Read, interpret, and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, scatterplot, circle graph, or histogram.

10.7.02: Compare different representations of the same data.

10.7.03: Create a bar graph, chart/table, line graph, or circle graph for a given set of data.

10.7.04: Identify a reasonable approximation of the line of best fit from a set of data or a scatter plot.

10.7.05: Determine and use the mode, range, median, and mean to interpret data.

10.7.06: Solve problems involving the probability of a simple or compound event, including representing the probability as a fraction, decimal, or percent.

10.7.07: Represent all possible outcomes for simple events.

10.7.08: 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.