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Quality Core Curriculum
addressed within the InterMath Fractions & Decimals Unit


SIXTH GRADE

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.
-Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.
-Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.
-Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.
-Solves non-routine problems for which the answer is not obvious.
-Relates concepts and skills to practical applications.


2 Topic: Communication, Reasoning
Standard: Describe orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations (Number Sentences)
Standard: Uses a variable to represent an unknown amount in a mathematical expression or equation (number sentence), and evaluates simple algebraic expressions (e.g., Given a + 4. If a = 2, then 2 + 4 = 6).

7 Topic: Equations (Number Sentences)
Standard: Finds the value of or solves for the variable in a simple algebraic equation such as a + 6 = 10.

Strand: Whole Number Computation; Estimation; Whole Number Operations

9 Topic: Whole Numbers, Decimals, Fractions, Mixed Numbers, Remainders
Standard: Uses addition, subtraction, multiplication, and division (interpreting remainders in context of problem) in computation and problem solving with whole numbers, decimals, fractions, and mixed numbers with like and unlike denominators.

11 Topic: Percent, Equations
Standard: Computes percent of a number using ratio, proportions, and equations.

Strand: Number Sense & Numeration; Fractions & Decimals

29 Topic: Fractions, Decimals, Percents
Standard: Uses concrete and visual models to represent parts of a whole for fractions, decimals, and percents.

30 Topic: Fractions, Decimals, Percents
Standard: Uses fractions, decimals and percents interchangeably (e.g. 25/100, .25, 25%).

36 Topic: Ratio, Proportion
Standard: Uses a ratio to compare two quantities such as 1:2, or 1 to 2.

37 Topic: Ratio, Proportion
Standard: Expresses equivalent ratios as a proportion (e.g., 1/2 = 4/8).

Strand: Patterns & Relationships; Algebra

43 Topic: Sequences, Patterns
Standard: Recognizes, describes, and generalizes patterns and sequences.


Strand: Problem Solving

46 Topic: Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies, determines operations to use and whether problems contain extraneous or insufficient information.

47 Topic: Problem Solving
Standard: Solves problems using one or two operations.

49 Topic: Proportion
Standard: Uses proportion to solve problems.

Seventh Grade

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.
Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.

Selects and uses appropriate tools (such as mental computation, calculators, manipulativematerials, paper and pencil, computer) in solving problems.

Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.

Solves nonroutine problems for which the answer is not obvious.

Relates concepts and skills to practical applications.

2 Topic: Communication, Reasoning
Standard: Describes orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations, Inequalities
Standard: Identifies the use of a variable as a placeholder in an algebraic expression or equation.
6 Topic: Expressions
Standard: Evaluates algebraic expressions (e.g., Given 3a + 4. If a = 2, then 3(2) + 4 = 10).


Strand: Whole Number Computation; Estimation; Whole Number Operations

14 Topic: Whole Numbers, Fractions, Decimals, Computation, Problem Solving
Standard: Uses addition, subtraction, multiplication, and division (interpreting remainders in context of problem) in computation and problem solving with whole numbers, fractions, and decimals.


Strand: Number Sense & Numeration; Fractions & Decimals

31 Topic: Fractions, Decimals, Percents
Standard: Uses fractions, decimals, and percents interchangeably (e.g., 25/100, .25, 25%) and recognizes equivalent representations.


Strand: Problem Solving

40 Topic: Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies to solve single- and multiple-step problems.

41 Topic: Proportion
Standard: Uses proportions to solve problems involving constant rate.

42 Topic: Percent
Standard: Solves practical problems using percents (e.g., sales tax, sale price and commission, discounts).

Eighth Grade

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.

Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.

Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.

Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.

Solves nonroutine problems for which the answer is not obvious.

Relates concepts and skills to practical applications.

2 Topic: Communication, Reasoning
Standard: Describe orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations, Inequalities
Standard: Identifies the use of a variable as a placeholder in algebraic expressions, equations, and inequalities.

10 Topic: Expressions
Standard: Evaluates algebraic expressions using substitution.


Strand: Whole Number Computation; Estimation; Whole Number Operations

18 Topic: Integers, Fractions, Decimals
Standard: Adds, subtracts, multiplies, and divides integers and other rational numbers.


Strand: Number Sense & Numeration; Fractions & Decimals

32 Topic: Fractions, Decimals, Percent
Standard: Uses fractions, decimals, and percents interchangeably, and recognizes equivalent representations.


Strand: Problem Solving

43 Topic: Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies to solve single- and multiple-step problems.


44 Topic: Ratio, Proportion, Percent
Standard: Solves practical problems using ratio and proportion, including constant rate.

45 Topic: Percent
Standard: Solves practical problems using percents (e.g., sales tax, sale price and commission, and
discounts).