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Below are the objectives for Grade 6.  Click on the link  for students or  for teachers for any objective to see the resources available or to add your own resource.

Home - Math - Grade 6

 

Standard 1: Number, Number Sense and Operations

Resources

Benchmark

Indicator

  

C.   Develop meaning for percents including percents greater than 100 and less than 1.

1.   Describe what it means to find a specific percent of a

      number, using real-life examples.

2.   Construct and use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100.

  

D.   Use models and pictures to relate concepts of ratio, proportion and percent.

1.   Explain why a number is referred to as being “rational” and recognize that the expression can mean a parts of size each, a divided by b, or the ratio of a two b.

2.   Create and use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100.

3.   Give examples of how ratios are used to represent

comparisons (e.g., part-to-part, part-to-whole, whole-to-part).

  

E.   Use order of operations, including use of parenthesis and exponents to solve multi-step problems and verify and interpret the results.

1.   Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions.

  

G.  Apply and explain the use of prime factorizations, common factors, and common multiples in problem situations.

1.   Decompose and recompose whole numbers using factors and exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2 =25) and explain why “squared” means “second power” and “cubed” means “third power”.

2.   Find and use the prime factorization of composite numbers. For example:

    Use the prime factorization to recognize the greatest common factor (GCF)

    Use the prime factorization to recognize the least common multiple (LCM)

    Apply the prime factorization to solve problems and explain solutions

  

H.   Use and analyze the steps in standards and non-standard algorithms for computing with fractions, decimals and integers.

1.   Represent multiplication and division situations involving fractions and decimals with models and visual representations           (e.g., show with pattern blocks what it means to take 2 2/3 ÷ 1/6.

2.   Develop and analyze algorithms for multiplying and dividing       with fractions and decimals and demonstrate fluency in their use.

  

I.    Use a variety of strategies, including proportional reasoning to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

1.   Use simple expressions involving integers to represent and solve problems (e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss?).

2.   Perform fraction and decimal computations and justify their solutions (e.g., using manipulatives, diagrams and mathematical reasoning.

3.   Estimate reasonable solutions to problem situations involving fractions and decimals.

4.   Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions.

5.   Determine the percent of a number and solve related problems (e.g., find the percent markdown if the original

prices was $140, and the sale price is $100).

6.   Recognize that a quotient may be larger than the dividend when the divisor is a fraction (e.g., 6 ÷ ½ = 12).

 

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