6.2.6 Interpret and use ratios to show the relative sizes of two quantities. 
    Use the notations: a/b, a to b, a:b.
    6.2.7 Understand proportions and use them to solve problems.
6.5.1 Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.
Grade 6 Geometry
6.4.5 Identify and draw two-dimensional shapes that are similar.
6.7.1 Analyze problems by identifying relationships, telling relevant from 
    irrelevant information, identifying missing information, sequencing and prioritizing 
    information, and observing patterns.
    6.7.2 Make and justify mathematical conjectures based on a general description 
    of a mathematical question or problem.
    6.7.3 Decide when and how to break a problem into simpler parts.
    6.7.4 Apply strategies and results from simpler problems to solve more complex 
    problems.
    6.7.5 Express solutions clearly and logically by using the appropriate mathematical 
    terms and notation. Support solutions with evidence in both verbal and symbolic 
    work.
    6.7.6 Recognize the relative advantages of exact and approximate solutions 
    to problems and give answers to a specified degree of accuracy.
    6.7.7 Select and apply appropriate methods for estimating results of rational-number 
    computations.
    6.7.8 Use graphing to estimate solutions and check the estimates with analytic 
    approaches.
    6.7.9 Make precise calculations and check the validity of the results in the 
    context of the problem.
    6.7.10 Decide whether a solution is reasonable in the context of the original 
    situation.
    6.7.11 Note the method of finding the solution and show a conceptual understanding 
    of the method by solving similar problems.
    Grade 7 Computation
    
    7.2.1 Solve addition, subtraction, multiplication, and division problems that 
    use integers, fractions, decimals, and combinations of the four operations.
    7.2.2 Calculate the percentage increase and decrease of a quantity.
7.5.2 Use experimentation and modeling to visualize similarity problems. 
    Solve problems using similarity.
    7.5.3 Read and create drawings made to scale, construct scale models, and 
    solve problems related to scale.
  
7.7.1 Analyze problems by identifying relationships, telling relevant from 
    irrelevant information, identifying missing information, sequencing and prioritizing 
    information, and observing patterns.
    7.7.2 Make and justify mathematical conjectures based on a general description 
    of a mathematical question or problem.
    7.7.3 Decide when and how to divide a problem into simpler parts.
    7.7.4 Apply strategies and results from simpler problems to solve more complex 
    problems.
    7.7.5 Make and test conjectures by using inductive reasoning.
    7.7.6 Express solutions clearly and logically by using the appropriate mathematical 
    terms and notation. Support solutions with evidence in both verbal and symbolic 
    work.
    7.7.7 Recognize the relative advantages of exact and approximate solutions 
    to problems and give answers to a specified degree of accuracy.
    7.7.8 Select and apply appropriate methods for estimating results of rational-number 
    computations.
    7.7.9 Use graphing to estimate solutions and check the estimates with analytic 
    approaches.
    7.7.10 Make precise calculations and check the validity of the results in 
    the context of the problem.
    7.7.11 Decide whether a solution is reasonable in the context of the original 
    situation.
    7.7.12 Note the method of finding the solution and show a conceptual understanding 
    of the method by solving similar problems.
8.2.1 Add, subtract, multiply, and divide rational numbers (integers, fractions, 
    and terminating decimals) in multi-step problems.
    8.2.4 Use mental arithmetic to compute with common fractions, decimals, powers, 
    and percents.
8.5.3 Solve problems involving scale factors, area, and volume using ratio and proportion.
8.3.7 Demonstrate an understanding of rate as a measure of one quantity with respect to another quantity.
8.7.1 Analyze problems by identifying relationships, telling relevant from 
    irrelevant information, identifying missing information, sequencing and prioritizing 
    information, and observing patterns.
    8.7.2 Make and justify mathematical conjectures based on a general description 
    of a mathematical question or problem.
    8.7.3 Decide when and how to divide a problem into simpler parts.
    8.7.4 Apply strategies and results from simpler problems to solve more complex 
    problems.
    8.7.5 Make and test conjectures by using inductive reasoning.
    8.7.6 Express solutions clearly and logically by using the appropriate mathematical 
    terms and notation. Support solutions with evidence in both verbal and symbolic 
    work.
    8.7.7 Recognize the relative advantages of exact and approximate solutions 
    to problems and give answers to a specified degree of accuracy.
    8.7.8 Select and apply appropriate methods for estimating results of rational-number 
    computations.
    8.7.9 Use graphing to estimate solutions and check the estimates with analytic 
    approaches.
    8.7.10 Make precise calculations and check the validity of the results in 
    the context of the problem.
    8.7.11 Decide whether a solution is reasonable in the context of the original 
    situation.
    8.7.12 Note the method of finding the solution and show a conceptual understanding 
    of the method by solving similar problems.
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