#### 6.1: Students understand and use basic and advanced concepts of number and number systems

6.1.1: Use a fraction to represent parts of a whole, division, or a ratio

6.1.2: Explain and use whole number percents 1 to 100

6.1.3: Find the equivalent forms among fractions, decimals, and whole number percents

6.1.4: Compare and order fractions, decimals, mixed numbers and integers

6.1.5: Generate a list of factors, prime factors, and multiples

6.1.6: Use rules to determine divisibility by 2, 3, 5, 6, 9, and 10

6.1.7: Explain the effects of arithmetic operations on fractions and decimals

6.1.8: Identify the uses of the commutative and associative properties of addition and multiplication; e.g., grouping numbers to make addition or multiplication easier

6.1.9: Use order of operations; i.e., multiplication, division, addition and subtraction, to simplify numeric expressions

6.1.10: Multiply and divide decimals

6.1.11: Add, subtract, multiply, and divide fractions

6.1.13: Use problem solving strategies to solve and verify the results of problems

6.1.14: Estimate the results of problems involving whole numbers, fractions, and decimals

#### 6.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

6.2.1: Identify relationships between pairs of angles; i.e., adjacent, vertical, complementary, and supplementary

6.2.2: Identify polygons; i.e., triangle, rectangle, square, rhombus, parallelogram, trapezoid, pentagon, hexagon, octagon

6.2.4: Use ordered pairs to locate a point on a coordinate plane

6.2.5: Identify, describe, and model motion geometry; i.e., rotations, reflections, and translations

#### 6.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

6.3.1: Collect and organize data, select and use an appropriate display; i.e., a frequency table, a line and bar graph

6.3.3: Use experiments or simulations to determine probabilities

6.3.4: Use decimal values and ratios to represent probability

6.3.5: Calculate the mean, median, mode, and range of a set of data

6.3.6: Make predictions based on trends identified in tables and graphs

#### 6.4: Students use concepts and tools of measurement to describe and quantify the world

6.4.3: Convert unit measurements within the same system (metric and standard)

6.4.4: Distinguish among perimeter, area, surface area, and volume

6.4.5: Select appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

6.4.6: Use formulas to determine the circumference and area of circles and the perimeter and area of triangles and parallelograms

6.4.7: Use area formulas to determine the surface area of right prisms and square pyramids

6.4.8: Use formulas to determine the volume of rectangular prisms

#### 6.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

6.5.1: Identify and describe patterns represented by tables, graphs, and sequences

6.5.2: Use a variable to represent an unknown quantity

6.5.3: Use representations to solve problems; i.e., tables and numerical sentences

6.5.4: Recognize examples of change over time; e.g., growth of a sixth grader from September to May

Correlation last revised: 5/21/2018

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