# California State Standards for Mathematics: Grade 6

Currently Perma-Bound only has suggested titles for grades K-8 in the Science and Social Studies areas. We are working on expanding this.

CA.NS. Number Sense

1.0. Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages.

1.1. Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

1.2. Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a: b).

1.3. Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.

1.4. Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

2.0. Students calculate and solve problems involving addition, subtraction, multiplication, and division.

2.1. Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.

2.2. Explain the meaning of multiplication and division of positive fractions and perform the calculations (e.g., ).

2.3. Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations.

2.4. Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction).

CA.AF. Algebra and Functions

3.0. Students investigate geometric patterns and describe them algebraically.

3.1. Use variables in expressions describing geometric quantities (e.g., P = 2w +2l, A = 1/2 bh, C = pi d - the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively).

3.2. Express in symbolic form simple relationships arising from geometry.

CA.MG. Measurement and Geometry

CA.SDAP. Statistics, Data Analysis, and Probability

2.5. Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims.

3.3. Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring.

3.4. Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

3.5. Understand the difference between independent and dependent events.

CA.MR. Mathematical Reasoning

2.6. Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

2.7. Make precise calculations and check the validity of the results from the context of the problem.