|
6.1.0
Numbers, Number Sense, and Computation
|
-
6.1.6.1
Place Value
-
6.1.6.1.1
Identify and use place value positions to thousandths.
-
6.1.6.2
Fractions
-
6.1.6.2.1
Add and subtract fractions with unlike denominators.
-
6.1.6.2.2
Multiply and divide with fractions using models, drawings, and numbers.
-
6.1.6.2.3
Use models to translate among fractions, decimals, and percents.
-
6.1.6.3
Comparing and Ordering
-
6.1.6.3.1
Read, write, compare, and order groups of fractions, groups of decimals, and groups of percents.
-
6.1.6.5
Facts
-
6.1.6.5.1
Identify equivalent expressions between and among fractions, decimals, and percents.
-
6.1.6.6
Estimating and Estimation Strategies
-
6.1.6.6.1
Estimate using fractions, decimals, and percents.
-
6.1.6.6.2
Use estimation strategies in mathematical and practical situations.
-
6.1.6.7
Computation
-
6.1.6.7.1
Calculate using fractions, decimals, and percents in mathematical and practical situations.
-
6.1.6.7.2
Use order of operations to evaluate expressions with integers.
-
6.1.6.8
Solving Problems and Number Theory
-
6.1.6.8.1
Use the concepts of number theory, including prime and composite numbers, factors, multiples, and the rules of divisibility to solve problems.
|
|
6.2.0
Patterns, Functions, and Algebra
|
-
6.2.6.1
Patterns
-
6.2.6.1.1
Use and create tables and charts to extend a pattern in order to describe a rule for input/output tables and to find missing terms in a sequence.
-
6.2.6.2
Variables and Unknowns
-
6.2.6.2.1
Evaluate formulas and algebraic expressions using whole number values.
-
6.2.6.2.2
Solve and graphically represent equations and simple inequalities in one variable.
-
6.2.6.3
Number Sentences, Expressions, and Polynomials
-
6.2.6.3.1
Write simple expressions and equations using variables to represent mathematical situations.
-
6.2.6.4
Relations and Functions
-
6.2.6.4.1
When given a rule relating two variables, create a table and represent the ordered pairs on a coordinate plane.
|
|
6.3.0
Measurement
|
-
6.3.6.1
Comparison, Estimation, and Conversion
-
6.3.6.1.1
Estimate and compare corresponding units of measure for temperature, length, and weight/mass between customary and metric systems.
-
6.3.6.2
Precision in Measurements
-
6.3.6.2.1
Given two measurements of the same object, select the one that is more precise.
-
6.3.6.2.2
Explain how the size of the unit of measure used effects precision.
-
6.3.6.3
Formulas
-
6.3.6.3.1
Select, model, and apply formulas to find the perimeter, circumference, and area of plane figures.
-
6.3.6.4
Money
-
6.3.6.4.1
Compare and use unit cost in practical situations.
-
6.3.6.5
Ratios and Proportions
-
6.3.6.5.1
Write and apply ratios in mathematical and practical problems involving measurement and monetary conversions.
-
Ratios, proportions, and percents: Write a ratio to describe objects in a picture (Sixth grade - Z.1)
-
Ratios, proportions, and percents: Equivalent ratios (Sixth grade - Z.2)
-
Ratios, proportions, and percents: Proportions (Sixth grade - Z.3)
-
Ratios, proportions, and percents: Unit rates and equivalent rates (Sixth grade - Z.4)
-
Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
-
6.3.6.6
Time
-
6.3.6.6.1
Use equivalent periods of time to solve practical problems.
|
|
6.4.0
Spatial Relationships, Geometry, and Logic
|
-
6.4.6.1
Two - Dimensional Shapes
-
6.4.6.1.1
Measure angles using a protractor.
-
6.4.6.1.2
Identify, classify, compare and draw regular and irregular quadrilaterals.
-
6.4.6.1.3
Identify, draw, and use central angles to represent fractions of a circle.
-
6.4.6.2
Congruence, Similarity, and Transformations
-
6.4.6.2.1
Determine actual measurements represented on scale drawings.
-
6.4.6.2.2
Convert actual measurements to scale.
-
6.4.6.3
Coordinate Geometry and Lines of Symmetry
-
6.4.6.3.1
Using a coordinate plane, identify and locate points.
-
6.4.6.3.2
Graph coordinates representing geometric shapes in all four quadrants on a coordinate plane.
-
6.4.6.4
Three - Dimensional Figures
-
6.4.6.4.1
Make a model of a three-dimensional prism from a two-dimensional drawing.
-
6.4.6.4.2
Make a two-dimensional drawing of a three-dimensional prism.
-
6.4.6.5
Algebraic Connections
-
6.4.6.5.1
Model slope (pitch, angle of inclination) using concrete objects and practical examples.
-
6.4.6.6
Lines, Angles, and Their Properties
-
6.4.6.6.1
Draw, identify, and find measures of complementary and supplementary angles using arithmetic and geometric methods.
-
6.4.6.7
Triangles
-
6.4.6.7.1
Determine the measure of missing angles of triangles based on the Triangle Sum Theorem.
-
6.4.6.8
Constructions
-
6.4.6.8.1
Construct circles, angles, and triangles based on given measurements using a variety of methods and tools including compass, straight edge, paper folding, and technology.
-
6.4.6.9
Logic
-
6.4.6.9.1
Identify counterexamples to disprove a conditional statement.
|
|
6.5.0
Data Analysis
|
-
6.5.6.1
Data Collection and Organization
-
6.5.6.1.1
Pose questions that guide the collection of data.
-
6.5.6.1.2
Organize and represent data using a variety of graphical representations including circle graphs and scatter plots.
-
6.5.6.2
Central Tendency and Data Distribution
-
6.5.6.2.1
Select and apply the measures of central tendency to describe data.
-
6.5.6.3
Interpretation of Data
-
6.5.6.3.1
Analyze the effect a change of graph type has on the interpretation of a set of data.
-
6.5.6.3.2
Interpret data and make predictions using circle graphs and scatter plots.
-
6.5.6.4
Permutations and Combinations
-
6.5.6.4.1
Find the number of outcomes for a specific event by constructing sample spaces and tree diagrams.
-
6.5.6.5
Experimental and Theoretical Probability
-
6.5.6.5.1
Find experimental probability using concrete materials.
-
6.5.6.5.2
Represent the results of simple probability experiments as fractions, decimals, percents, and ratios to make predictions about future events.
-
6.5.6.6
Statistical Inferences
-
6.5.6.6.1
Analyze various representations of a set of data to draw conclusions and make predictions.
-
6.5.6.6.2
Describe the limitations of various graphical representations.
|
|
