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

6.6.01: Read, write, recognize, and model equivalent representations of whole numbers and their place values.

6.6.02: Read, write, recognize, model, and interpret numerical expressions from a given description or situation.

6.6.03: Read, write, recognize, and model equivalent representations of fractions, including improper fractions and mixed numbers.

6.6.04: Recognize, translate between, and apply multiple representations of decimals, fractions, percents (less than 100%), and mixed numbers (halves, quarters, fifths, and tenths).

6.6.05: Read, write, recognize, and model equivalent representations of decimals and their place values through thousandths.

6.6.07: Order and compare whole numbers.

6.6.08: Order and compare decimals through thousandths.

6.6.09: Order and compare fractions and mixed numbers having like or unlike denominators.

6.6.10: Identify and locate decimals, fractions, and mixed numbers on a number line.

6.6.11: Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers, primes).

6.6.12: Solve problems and number sentences involving addition, subtraction, multiplication, and division using whole numbers.

6.6.13: Solve problems and number sentences involving addition, subtraction, and multiplication of decimals.

6.6.14: Solve problems involving addition and subtraction of fractions and mixed numbers, and express answers in simplest form.

6.6.15: Identify and apply order of operations to simplify numeric expressions involving whole numbers.

6.6.16: Solve problems involving the commutative, distributive, and associative properties of operations on whole numbers [e.g., (5×7)×2 = 5×(7×2)].

6.6.18: Identify and express ratios using appropriate notation (i.e., a/b, a to b, a:b), identify equivalent ratios, and explain ratios that represent a given situation.

6.6.19: Solve problems involving proportional relationships, including unit pricing (e.g., seven apples cost \$1.40, so nine apples cost \$1.80).

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

6.6.21: Solve number sentences and problems involving percents.

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

7.6.01: Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles.

7.6.02: Solve problems involving the perimeter and area of a triangle, parallelogram, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

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

7.6.04: Determine the volume of a right rectangular prism using an appropriate formula or strategy.

7.6.05: Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz).

7.6.06: 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.

8.6.01: Determine a missing term in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of a given sequence (e.g., 3, 6, 9,... is explained by the rule 3n, for n is greater than or equal to 1).

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

8.6.03: Evaluate algebraic expressions with up to two whole number variable values (e.g., evaluate 3m + n + 3 when m = 4 and n = 2).

8.6.04: Determine a rule having two operations from an input-output table (e.g., multiply by 3 and add 2).

8.6.05: Select a table of values that satisfies a linear equation, and recognize the ordered pairs on a rectangular coordinate system.

8.6.06: Translate between different representations (table, written, or pictorial) of whole number relationships.

8.6.07: Identify graphs of inequalities on a number line.

8.6.08: Represent problems with equations and inequalities.

8.6.09: Solve for the unknown in an equation with one operation (e.g., 8x = 24, m÷2=25).

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

9.6.03: Solve problems using properties of triangles and quadrilaterals (e.g., sum of interior angles of a quadrilateral is 360°).

9.6.05: Graph, locate, identify points, describe paths, and plot figures using ordered pairs (first quadrant).

9.6.06: Identify, describe, and predict results of reflections, translations, and rotations of two-dimensional shapes.

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

9.6.11: Identify congruent and similar figures by visual inspection.

9.6.12: 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.

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

10.6.02: Compare different representations of the same data.

10.6.03: Create a bar graph, chart/table, line graph, or circle graph with common referents (1/4, 50%, .75) for a given set of data.

10.6.04: Determine the mode, range, median, and mean, given a set of data or a graph.

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

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.