Manchester Public Schools
Office of Equity and Partnerships
Grade 6 Math Curriculum Information
Math
Here are the things your child will be expected to accomplish during the school year…
Fall
  
During the fall your 6th grade student will build their long division and operations with decimals skills while they begin to bridge their knowledge between arithmetic (numbers) and algebra (numbers and letters).

Vocabulary:
Expression - one or a group of math symbols and numbers that represent a number
Example 1:     x + 3
Example 2:   4y - 12

Exponent - how many times to use a number in a multiplication problem
Example:  34= 3x3x3x3 = 81

Like Terms - Terms that have the same exponent and variable
Example of like terms: 3x and 14x
Example of NON like terms: 12 and 5x

Your child will:
  1. Use math language to identity parts of an expression (sum, product, equal, difference, quotient, double, etc) and to write expressions
  2. Insert numbers for letter values into an expression (which has exponents) and using addition, subtraction, multiplication and division to find what number the expression is equal to. Example:  Given 4x - 10 and x=5
  3. Divide whole numbers that are bigger than 100 (multi digit numbers)using the standard method
  4. Add, subtract, multiply and divide decimals that are made up of 1 or more numbers before or after the decimal. Example: 3.7 or 13.923 or 0.0000123
  5. Equivalent Expressions- Are expressions that are the same (equal the same value) but may look different. Example 1: 5(x+3) = 5x +15
Example 2: x + x + x + x + x = 5x
Winter
  
During the winter, your child will graph coordinates on a grid, use their understanding of how numbers are made to find common factors and multiples, and solve equations and inequalities.
 
Vocabulary: 
  • Product - The answer to a multiplication problem. Example:  3 x 4 = 12; 12 is the product
  • Factors - a whole number that multiplies with another number to make a third number. Example: Factors of 24, 1 x 24 = 24, 2 x 12 = 24, 3 x 8 = 24, 4x6= 24. Factors of 24 - 1, 2, 3, 4, 6, 8, 12, 24
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  • Multiples - When your child learned his/her time tables in elementary school, your child was learning multiples. Multiple: Multiplying a given number by any other whole number results in a multiple of the given number. Example # 1: Multiples of 3. 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18... 3 x 111 = 333. Multiples of 3 include: 3,6,9,12,15,18...333.  Example #2: 2, 4, 6, 8 and 10 are multiples of 2. Your child multiplied 2 by 1, 2, 3, 4, and 5 which are integers.
  • Coordinate Plane - A grid that is made up of the x and y axis. It is divided into 4 equal sections called quadrants (Quadrant I,II, III, and IV)
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  • Ordered pairs - Pairs of numbers used to locate a point on a grid - the first number tells you how far to move horizontally and the second number tells you how far to move vertically (x and y axis) They can also be called coordinates
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  • Distributive property - Multiply the number outside the parenthesis by all the numbers and letters inside the parenthesis
  • Integer - Whole numbers that can be positive, negative or zero. Example:  -5, 1, -9, 0,  97 and -3,045
  • Expressions - Numbers, symbols and operations (such as + and x) grouped together that show the value of something. An expression does not have an equal sign.
  • Equation - Two expressions that are equal. An equation is made up of numbers, letters and an equal sign
  • Inequality - Two expressions that are not equal. Can be made up of numbers, letters and an inequality sign < = less than > = greater than < = Less than or equal to
         > = greater than or equal to Example: 8 > 5  or  3x < 12
Your child will:
1. Identify all factors of a whole number, then compare factors of 2 or more numbers to select the largest number they have in common, this number is called the Greatest Common Factor (GCF)
2. Identify all multiples of a whole number, then compare multiples of 2 or more numbers to select the smallest number they have in common, this number is called the
3. Least Common Multiple (LCM)
4. Plot and explain how different orders pairs are located in different parts of a grid. They will use this skill to find the distance between 2 or more points
5. Use knowledge of the distribution property and inverse operations to find a number that makes a particular equation or inequality  true.
Spring
  
During the Spring of 6th grade your child will divide fractions, and use ratios and rates to solve problems.
Vocabulary:
Ratios - A comparison of two numbers, can be written as a fraction, with a colon or with the word “to” Example: 3 Girls to 7 Boys or 3:7
Unit Rates - A comparison of two  numbers where one of the terms is 1. Example: $3.00 for 1 bag of rice 5/1 or 5:1 or 5:1
Proportion - Two ratios that are equal to each other

Your Child Will:
Use unit rates and ratios to solve problems about speed and price of items. Example: Jane gets paid $7 for 2 hours for babysitting her neighbor. At what rate does she get paid for babysitting? She gets paid a rate of $3.50 per 1 hour

Use tables and graphs to find equivalent ratios

Given a percent of a number find the number. Example: a T Shirt cost $15.00 is is 30%. How much money is discounted?

Division of Fractions   - Divide 2 fractions using the standard method (Keep, Change, Flip) and  visual fraction model

Use formulas to find the area of squares, rectangles, triangles and other shapes made of rectangles, squares and triangles and volume of two and three dimensional shapes.

Create and use nets (what a three dimensional figures looks like if it were opened up - flat) to find the surface area of prisms

Describe a set of information (data)  by its shape, and summary of mean, mode, range, median, variability and represent that information by creating a box and whisker plot
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