California State Standards for Mathematics: Grade 5
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 compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers.
1.1. Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.
1.2. Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. What is 40 percent of 250? (CST released test question, 2004)
1.3. Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication.
1.4. Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor
1.5. Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.
2.0. Students perform calculations and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals.
2.1. Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results.
2.2. Demonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors.
2.3. Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.
2.4. Understand the concept of multiplication and division of fractions.
2.5. Compute and perform simple multiplication and division of fractions and apply these procedures to solving problems.
CA.AF. Algebra and Functions
CA.MG. Measurement and Geometry
CA.SDAP. Statistics, Data Analysis, and Probability
CA.MR. Mathematical Reasoning
2.6. Make precise calculations and check the validity of the results from the context of the problem.
3.0. Students move beyond a particular problem by generalizing to other situations.
3.1. Evaluate the reasonableness of the solution in the context of the original situation.
3.2. Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
3.3. Develop generalizations of the results obtained and apply them in other circumstances.