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Grade 6 Essential Learning – September 2014 Students will be tested on the following material in mid-September. The skills listed below are considered important to a student’s success in 6th grade math. It will be assumed that these skills have been mastered. They will be incorporated into more challenging concepts with minimal time for reteaching. Below is a list of essential skills for 66h grade math: Multiplication Facts/Times Tables Have their times tables through 12 memorized. Be able to recite those facts “backwards and forwards.” Example: 7 x 6 = _____ 108 ÷ 9 = _____ There will be a quiz on this within the first two weeks of the academic year. Students will be given 50 questions in 3 minutes. A good website to practice is multiplication.com. Number and Operations Adding, subtracting, multiplying and dividing whole numbers Long division with a two digit divisor Example: 424 ÷ 18 Long division with showing the quotient in decimal format instead of “remainder” Example: 100 ÷ 16 = 6.25 as opposed to 6 remainder 4 Place Value of decimals to the thousandths place/ correctly reading and writing decimals. Rounding decimals: Example: Round 19.426 to the nearest tenths place Powers of 10: Example: 103 = 1,000 Adding, subtracting, multiplying and dividing decimals Examples: 2.1 + 3.29 = 18 – 4.3 = 4.1 x 3.9 = 69.3 ÷ 0.3 = How to multiply and divide whole numbers and decimals by powers of 10 by moving the decimal Example: 4.6 ÷ 100 = 0.6 x 1,000 = How to model decimals and operations with decimals on a grid Order of Operations Properties – Identity, Commutative, Associative and Distributive Fractions/Decimals Simplify a fraction/identify simplest form/equivalent fractions 3 1 = 6 2 Example: Make a mixed number into an improper fraction/improper fraction into a mixed number 1 9 Example: 2 = 4 4 Add fractions and mixed numbers Subtract fractions and mixed numbers, including borrowing Example: 7 1 4 - 3 = 10 5 Multiply fractions, whole numbers, and mixed numbers 3 2 Examples: x = 4 3 1 1 1 x 3 = 2 4 Divide a whole number by a fraction, fraction by a whole number 1 Examples: ÷3= 3 4÷ 1 = 2 Model operations with fractions Change a decimal into a fraction/fraction into a decimal. Examples: 1 = 0.2 5 0.75 = 3 4 fractions, mixednumbers and decimals Order and compare Measurement How to use a ruler in both customary (inches to the nearest 1/8 inch) and metric How to convert between different units of measurement (length, capacity, weight) in both metric and customary Line Plots: How to create and to read a line plot How to create a frequency chart How to calculate the average or “fair share” Geometry: Volume: How to find the volume of a simple rectangular prism and a combined rectangular prism How to calculate area and perimeter and apply this to real life problems (ex: framing a picture, planting a garden.) Plot and identify points in the first quadrant of a coordinate grid. Identify the properties of quadrilaterals and classify them. Example: A square is a type of rectangle. RESOURCES TO USE for PRACTICE and REVIEW 5th grade textbooks (consumable – they should be home) Textbook website available until the end of August Study Island (username and password are good for the summer) Ten marks (flyer provided) Buckle down