South Carolina - Mathematics: 6th Grade

  • Curriculum Standards     Adopted: 2007

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below to go to the Gizmo Details page.

6.1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.

6.1.1: Generate and solve complex abstract problems that involve modeling physical, social, and/or mathematical phenomena.

Road Trip (Problem Solving)

6.2: The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable methods of multiplying and dividing fractions and decimals; and the use of exponential notation to represent whole numbers.

6.2.1: Understand whole-number percentages through 100.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

6.2.3: Compare rational numbers and whole-number percentages through 100 by using the symbols "less than or equal to", "greater than or equal to", <, >, and =.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Fraction Garden (Comparing Fractions)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

6.2.4: Apply an algorithm to add and subtract fractions.

Adding Fractions (Fraction Tiles)
Fractions with Unlike Denominators

6.2.5: Generate strategies to multiply and divide fractions and decimals.

Dividing Fractions
Multiplying Decimals (Area Model)
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

6.2.6: Understand the relationship between ratio/rate and multiplication/division.

Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Part:Part and Part:Whole Ratios
Polling: Neighborhood

6.2.8: Represent the prime factorization of numbers by using exponents.

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

6.3: The student will demonstrate through the mathematical processes an understanding of writing, interpreting, and using mathematical expressions, equations, and inequalities.

6.3.1: Analyze numeric and algebraic patterns and pattern relationships.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

6.3.2: Apply order of operations to simplify whole-number expressions.

Order of Operations

6.3.4: Use the commutative, associative, and distributive properties to show that two expressions are equivalent.

Chocomatic (Multiplication, Arrays, and Area)

6.3.5: Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.

Function Machines 3 (Functions and Problem Solving)
Modeling One-Step Equations - Activity A
Using Algebraic Equations

6.4: The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary angles; and the relationship between line and rotational symmetry.

6.4.1: Represent with ordered pairs of integers the location of points in a coordinate grid.

City Tour (Coordinates)
Points in the Coordinate Plane - Activity A

6.4.2: Apply strategies and procedures to find the coordinates of the missing vertex of a square, rectangle, or right triangle when given the coordinates of the polygon's other vertices.

City Tour (Coordinates)
Classifying Quadrilaterals - Activity A
Classifying Triangles
Points in the Coordinate Plane - Activity A

6.4.3: Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes.

Holiday Snowflake Designer
Quilting Bee (Symmetry)

6.4.4: Construct two-dimensional shapes with line or rotational symmetry.

Classifying Triangles
Holiday Snowflake Designer
Quilting Bee (Symmetry)

6.4.5: Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane.

Quilting Bee (Symmetry)
Rock Art (Transformations)
Rotations, Reflections and Translations

6.4.6: Explain how transformations affect the location of the original polygon in the coordinate plane.

Quilting Bee (Symmetry)
Rock Art (Transformations)
Rotations, Reflections and Translations

6.4.7: Compare the angles, side lengths, and perimeters of similar shapes.

Isosceles and Equilateral Triangles

6.4.9: Classify pairs of angles as either complementary or supplementary.

Investigating Angle Theorems - Activity A

6.5: The student will demonstrate through the mathematical processes an understanding of surface area; the perimeter and area of irregular shapes; the relationships among the circumference, diameter, and radius of a circle; the use of proportions to determine unit rates; and the use of scale to determine distance.

6.5.1: Explain the relationships among the circumference, diameter, and radius of a circle.

Circle: Circumference and Area
Measuring Trees

6.5.2: Apply strategies and formulas with an approximation of pi (3.14, or 22/7) to find the circumference and area of a circle.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

6.5.3: Generate strategies to determine the surface area of a rectangular prism and a cylinder.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

6.5.4: Apply strategies and procedures to estimate the perimeters and areas of irregular shapes.

Fido's Flower Bed (Perimeter and Area)

6.5.5: Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes.

Fido's Flower Bed (Perimeter and Area)

6.5.6: Use proportions to determine unit rates.

Polling: Neighborhood
Road Trip (Problem Solving)

6.6: The student will demonstrate through the mathematical processes an understanding of the relationships within one population or sample.

6.6.1: Predict the characteristics of one population based on the analysis of sample data.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

6.6.2: Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots

6.6.3: Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6.6.4: Use theoretical probability to determine the sample space and probability for one- and two-stage events such as tree diagrams, models, lists, charts, and pictures.

Permutations and Combinations
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

6.6.5: Apply procedures to calculate the probability of complementary events.

Spin the Big Wheel! (Probability)

Content correlation last revised: 7/6/2007