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

6.5.01: Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 100,000,000.

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

6.5.04: Recognize, translate between, and model multiple representations of decimals, fractions less than one (halves, quarters, fifths, and tenths), and percents (0%, 25%, 50%, 75%, and 100%).

6.5.05: Read, write, recognize, and model decimals and their place values through thousandths.

6.5.06: Represent multiplication as repeated addition.

6.5.07: Order and compare whole numbers up to 1,000,000.

6.5.08: Order and compare decimals through hundredths.

6.5.09: Order and compare fractions having like or unlike denominators with or without models.

6.5.10: Identify and locate whole numbers, halves, fourths, and thirds on a number line.

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

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

6.5.13: Solve problems and number sentences involving addition and subtraction of decimals through hundredths (with or without monetary labels).

6.5.14: Model situations involving addition and subtraction of fractions.

6.5.15: Solve problems involving the commutative, distributive, and identity properties of operations on whole numbers (e.g., 37 × 46 = 46 × 37, 270×5= (200×5) + (70×5)].

6.5.16: Make estimates appropriate to a given situation with whole numbers, fractions, and decimals.

6.5.17: Identify and express ratios using appropriate notation (i.e., a/b, a to b), and identify equivalent ratios.

6.5.19: Read, write, recognize, and model percents (0%, 25%, 50%, 75%, and 100%).

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

7.5.01: Solve problems involving elapsed time in compound units.

7.5.02: Select and use appropriate standard units and tools to measure length (to the nearest ¼ inch or mm), mass/weight, capacity, and angles.

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

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

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

7.5.07: Solve problems involving map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).

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

8.5.01: Determine a missing term in a sequence, extend a sequence, and identify errors in a sequence when given a description or sequence.

8.5.02: Construct and identify a rule that can generate the terms of a given sequence.

8.5.05: Demonstrate, in simple situations, how a change in one quantity results in a change in another quantity (e.g., input-output tables).

8.5.07: Represent problems with equations and inequalities.

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

9.5.01: Classify, describe, and sketch two-dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and interior angles (right, acute, obtuse).

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

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

9.5.09: Identify and sketch acute, right, and obtuse angles.

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

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

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

10.5.03: Determine the mode, range, median (with an odd number of data points), and mean, given a set of data or a graph.

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.