Grade 6 Math is all about…maintaining fluency in whole number operations and developing fluency with fraction and decimal operations.  Students develop their understanding of rates and ratios. Students learn how to write, interpret and solve equations. 

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Benchmark Understandings at Grade 6

The essential building blocks for solid understanding of mathematical concepts

• Fluently add, subtract, multiply and divide all fractions
• Understand and apply ratios to solve problems (two cats for every three dogs)
• Write, interpret and solve variable expressions and simple equations
• Read, write and solve equations in which letters stand for numbers (use variables)and solve one-variable inequalities
  • (x < 5) and graph them on a number line
  • Use independent (x) and dependent (y) variables to write and graph equations

• Extend understanding of area and volume to new settings

  • Solve real-world and mathematical problems involving area, surface area, and volume (using rectangles, triangles and rectangular prisms)

Focus at this grade level will also include:

• Compute fluently with multi-digit numbers (+, -, x, )
• Use common factors and multiples to solve problems
• Compare and order positive and negative numbers (including fractions)
• Describe a set of data using mean, median, mode and/or range to answer a statistical question
• Use a variety of graphic representations to describe numerical data to solve problems

HELPING YOUR STUDENT LEARN OUTSIDE OF SCHOOL:

• Praise your child when they make an effort and share in the excitement when they catch and fix a mistake, solve a problem, or understand something for the first time. 
• Look for everyday opportunities to have your child do mathematics with you (calculating tips at restaurants, discounts at a store, manage a personal budget).
• Encourage your child to stick with it whenever a problem seems difficult. This will help your child build stamina and see that everyone can learn math.
• Point out where you are using mathematics in your everyday life.
• Play math games that encourage strategy and reasoning with your child.

HOW TO RESPOND WHEN YOUR CHILD ASKS FOR HELP:

• Tell me what you know about this problem.  What are you trying to find out? Where are your math resources?
• What strategy are you thinking about using to solve the problem?
• How could a model or a table help you solve this problem?
• Why is your answer reasonable?

Links to Math Parent Resources:

• Investigations - Pearson Toolkit for parents
• CMP a Guide for Families
• Fact Fluency & MobyMax Parent Letter
• YouCubed (Mathematical Mindsets) - Parent Resources

CancelSave ADD ELEMENT EDIT CONTENT Multiplicative Reasoning: from concept to fluency CancelSave ADD ELEMENT EDIT CONTENT Grade 5 Mathematics Fluently multiply and divide multi-digit numbers with a standard algorithm by applying place value understanding and properties of operations Understand volume; and relate volume to multiplication (geometry) CancelSave ADD ELEMENT EDIT CONTENT Grade 6 Mathematics Extend understanding of area and volume to new settings (geometry) CancelSave ADD ELEMENT EDIT CONTENT Grade 7 Mathematics Solve real-world & mathematical problems involving area, volume and surface area of 2- and 3-dimensional objects. (geometry) CancelSave ADD ELEMENT ADD ELEMENT EDIT CONTENT Fractional Reasoning: from concept to fluency CancelSave ADD ELEMENT EDIT CONTENT Grade 5 Mathematics Fluently add/subtract fractions using equivalent fractions and properties of operations Multiply and divide fractions Fluently add, subtract, multiply and divide decimals by applying place value understanding and properties of operations CancelSave ADD ELEMENT EDIT CONTENT Grade 6 Mathematics Fluently add, subtract, multiply and divide all fractions CancelSave ADD ELEMENT EDIT CONTENT Grade 7 Mathematics Apply and extend previous understanding of operations with fractions to add, subtract, multiply, and divide rational numbers CancelSave ADD ELEMENT ADD ELEMENT EDIT CONTENT Proportional Reasoning: from concept to fluency CancelSave ADD ELEMENT EDIT CONTENT Grade 5 Mathematics (Not a benchmark at this grade level) CancelSave ADD ELEMENT EDIT CONTENT Grade 6 Mathematics Understand and apply ratios to solve problems Write, interpret and solve variable expressions and simple equations CancelSave ADD ELEMENT EDIT CONTENT Grade 7 Mathematics Recognize, represent, and solve proportional relationships between quantities Apply properties of operations to generate equivalent expressions CancelSave ADD ELEMENT ADD ELEMENT EDIT CONTENT