|
6.1
Multiplication and division of fractions and decimals
|
-
6.1.A
Compare and order non-negative fractions, decimals, and integers using the number line, lists, and the symbols <, >, or =.
-
6.1.B
Represent multiplication and division of non-negative fractions and decimals using area models and the number line, and connect each representation to the related equation.
-
6.1.C
Estimate products and quotients of fractions and decimals.
-
6.1.D
Fluently and accurately multiply and divide non-negative fractions and explain the inverse relationship between multiplication and division with fractions.
-
6.1.E
Multiply and divide whole numbers and decimals by 1000, 100, 10, 1, 0.1, 0.01, and 0.001.
-
6.1.F
Fluently and accurately multiply and divide non-negative decimals.
-
6.1.G
Describe the effect of multiplying or dividing a number by one, by zero, by a number between zero and one, and by a number greater than one.
-
6.1.H
Solve single- and multi-step word problems involving operations with fractions and decimals and verify the solutions.
|
|
6.2
Mathematical expressions and equations
|
-
6.2.A
Write a mathematical expression or equation with variables to represent information in a table or given situation.
-
6.2.B
Draw a first-quadrant graph in the coordinate plane to represent information in a table or given situation.
-
6.2.C
Evaluate mathematical expressions when the value for each variable is given.
-
6.2.D
Apply the commutative, associative, and distributive properties, and use the order of operations to evaluate mathematical expressions.
-
6.2.E
Solve one-step equations and verify solutions.
-
6.2.F
Solve word problems using mathematical expressions and equations and verify solutions.
|
|
6.3
Ratios, rates, and percents
|
-
6.3.A
Identify and write ratios as comparisons of part-to-part and part-to-whole relationships.
-
6.3.B
Write ratios to represent a variety of rates.
-
6.3.C
Represent percents visually and numerically, and convert between the fractional, decimal, and percent representations of a number.
-
6.3.D
Solve single- and multi-step word problems involving ratios, rates, and percents, and verify the solutions.
-
Consumer math: Which is the better coupon? (Sixth grade - G.1)
-
Consumer math: Unit prices: which is the better buy? (Sixth grade - G.2)
-
Consumer math: Unit prices with fractions and decimals (Sixth grade - G.3)
-
Consumer math: Unit prices with customary unit conversions (Sixth grade - G.4)
-
Consumer math: Percents - calculate tax, tip, mark-ups, and more (Sixth grade - G.5)
-
Consumer math: Simple interest (Sixth grade - G.6)
-
Ratios, proportions, and percents: Equivalent ratios (Sixth grade - Z.2)
-
Ratios, proportions, and percents: Proportions (Sixth grade - Z.3)
-
Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
-
Ratios, proportions, and percents: Compare percents to each other and to fractions (Sixth grade - Z.7)
-
Ratios, proportions, and percents: Compare percents and fractions: word problems (Sixth grade - Z.8)
-
Ratios, proportions, and percents: Percents of numbers and money amounts (Sixth grade - Z.9)
-
Ratios, proportions, and percents: Percents of numbers: word problems (Sixth grade - Z.10)
-
Ratios, proportions, and percents: Percents of numbers - with fractional and decimal percents (Sixth grade - Z.11)
-
6.3.E
Identify the ratio of the circumference to the diameter of a circle as the constant pi , and recognize 22/7 and 3.14 as common approximations of pi.
-
6.3.F
Determine the experimental probability of a simple event using data collected in an experiment.
-
6.3.G
Determine the theoretical probability of an event and its complement and represent the probability as a fraction or decimal from 0 to 1 or as a percent from 0 to 100.
|
|
6.4
Two- and three-dimensional figures
|
-
6.4.A
Determine the circumference and area of circles.
-
6.4.B
Determine the perimeter and area of a composite figure that can be divided into triangles, rectangles, and parts of circles.
-
6.4.C
Solve single- and multi-step word problems involving the relationships among radius, diameter, circumference, and area of circles, and verify the solutions.
-
6.4.D
Recognize and draw two-dimensional representations of three-dimensional figures.
-
6.4.E
Determine the surface area and volume of rectangular prisms using appropriate formulas and explain why the formulas work.
-
6.4.F
Determine the surface area of a pyramid.
-
6.4.G
Describe and sort polyhedra by their attributes: parallel faces, types of faces, number of faces, edges, and vertices.
|
|
6.5
Additional Key Content
|
-
6.5.A
Use strategies for mental computations with non-negative whole numbers, fractions, and decimals.
-
6.5.B
Locate positive and negative integers on the number line and use integers to represent quantities in various contexts.
-
6.5.C
Compare and order positive and negative integers using the number line, lists, and the symbols <, >, or =.
|
|
6.6
Reasoning, problem solving, and communication
|
-
6.6.A
Analyze a problem situation to determine the question(s) to be answered.
-
6.6.B
Identify relevant, missing, and extraneous information related to the solution to a problem.
-
6.6.C
Analyze and compare mathematical strategies for solving problems, and select and use one or more strategies to solve a problem.
-
6.6.D
Represent a problem situation, describe the process used to solve the problem, and verify the reasonableness of the solution.
-
6.6.E
Communicate the answer(s) to the question(s) in a problem using appropriate representations, including symbols and informal and formal mathematical language.
-
6.6.F
Apply a previously used problem-solving strategy in a new context.
-
6.6.G
Extract and organize mathematical information from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.
-
6.6.H
Make and test conjectures based on data (or information) collected from explorations and experiments.
|
|