Last updated: 2/13/2023

6th Grade Math Quarter 1

1 week

Number Sense

(1) NY-6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor other than 1. Find the least common multiple of two whole numbers less than or equal to 12.

Essential Question: How can we use GCF and LCM to problem solve in the real world?

 

How does representing quantities in several ways reveal different information about the quantities?

Factoring and Distributing

Factors-

multiples-

Greatest Common Factor (GCF)-

Prime Number- 

Composite Number-

Prime Factorization Tree-

Venn Diagram-

Least Common Multiple-

Divisibility-

  1. Find the greatest common factor of two whole numbers less than or equal
    to 100.

  2. Find the least common multiple of two whole numbers less than or equal to 12.
  3. Factor addition expressions using the distributive property and the GCF

 

 

 

 

GCF & LCM Problem Solving:

https://drive.google.com/file/d/0B-gVAfBYX60DWklZMDFUQVlpWms/view?usp=sharing

 

 

 

 

3 Weeks

Number Sense

(1) NY-5.NF.5 Interpret multiplication as scaling (resizing).
(1) NY-6.NS.2 Fluently divide multi-digit numbers using a standard algorithm.
(1) NY-6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using a standard algorithm for each operation.

Essential Question: How do we use addition, subtraction, multiplication, and division in our everyday lives? What are decimals and how are they important?

 

In what different ways can parts and whole be combined? What are the most efficient ways and why?

 

In what different ways can parts and wholes be multiplied and divided?  Which ways are most efficient and why?

 

In what different ways can parts and wholes be added and subtracted?

Decimal Operations

Sum-

Difference-

Product-

Factors-

Quotient-

Dividend-

Divisor-

Distributive Property-

Partial Products-

Tenths-

Hundredths-

Thousandths-

Ten Thousandths-

1. Multiply multi-digit whole numbers using the standard algorithm.

2. Divide multi-digit whole numbers using the standard algorithm. 

3. Add multi-digit decimals using the standard algorithm. 

4. Subtract multi-digit decimals using the standard algorithm.

5. Multiply multi-digit decimals using the standard algorithm. 

6. Divide multi-digit decimals using the standard algorithm.

Decimal Practice Problems

https://drive.google.com/file/d/0B-gVAfBYX60DTWdPSUhZcDZTdjg/view?usp=sharing 

 

Decimal Word Problems:

https://drive.google.com/file/d/0B-JGHbDQBpQwNTJ5U3lqOWlrVmM/view?usp=sharing

 

Lottery Word Problem (Decimals):

https://drive.google.com/file/d/0B-JGHbDQBpQweFdGZmhvaENmaEk/view?usp=sharing

Division Fluency Assessment

https://docs.google.com/document/d/1ncW3uj512kGxuUZCRy9hTmkMPkOApkvbLGm_QWaJQI4/edit?usp=sharing

Decimal Operations Assessment

https://docs.google.com/document/d/15W5DtluU34QtD6hGggqTmvvE3dZCZxdUt-qBSQbXEno/edit?usp=sharing

 

Decimal Operations Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwN2RrdWFBREhUdjQ/view?usp=sharing

 

Decimal Operations Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwb2NVX09SbkJQNW8/view?usp=sharing

 

Topic B Assessment

https://docs.google.com/document/d/15W5DtluU34QtD6hGggqTmvvE3dZCZxdUt-qBSQbXEno/edit?usp=sharing

 

Topic C Assessment

https://docs.google.com/document/d/1ncW3uj512kGxuUZCRy9hTmkMPkOApkvbLGm_QWaJQI4/edit?usp=sharing

 

 

1.5 Weeks

Number Sense

(1) NY-6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.

Essential Question: How do we use addition, subtraction, multiplication, and division in our everyday lives? What are fractions and how are they important?

 

How can we determine how many parts fits inside other parts?

Fraction Operations

Dividend-

Divisor-

Quotient-

Inverse-

Reciprocal-

Fraction Bar-

Area Model-

Mixed Number-

Improper Fraction-

Common Denominator-

  1. Represent fraction division problems using visual fraction models and equations.

  2. Compute quotients of fractions and interpret the results in context.

  3. Create story problems for given fraction division problems.

  4. Use the relationship between multiplication and division to solve fraction division problems.

  5. Solve numerical, geometric, and real-world problems using fraction division.

Fraction Operations Flip Book

https://drive.google.com/file/d/0Bwp5k6sqimumbkRwM1VzV2lydzQ/view?usp=sharing 

 

Fraction Word Problems:

https://drive.google.com/file/d/0B-JGHbDQBpQwcThFaXJ3ZWp5Q3c/view?usp=sharing

 

Fraction Word Problems:

https://drive.google.com/file/d/0B-JGHbDQBpQwY0RETkppTVNwR0E/view?usp=sharing

Fraction Division Assessment

https://docs.google.com/document/d/1DbVibidMaQ8442gPohm0XkimBsu49-rgi6-q33JKMp0/edit?usp=sharing

 

Fraction Division Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwY3plalF2LXJ2SDA/view?usp=sharing

 

 

4.5 Weeks

Number Sense

(1) NY-6.NS.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
(1) NY-6.NS.6 Understand a rational number as a point on the number line. Use number lines and coordinate axes to represent points on a number line and in the coordinate plane with negative number coordinates.
(1) NY-6.NS.7 Understand ordering and absolute value of rational numbers.
(1) NY-6.NS.7a Interpret statements of inequality as statements about the relative position of two numbers on a number line.
(1) NY-6.NS.7b Write, interpret, and explain statements of order for rational numbers in real-world contexts.
(1) NY-6.NS.7c Understand the absolute value of a rational number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
(1) NY-6.NS.7d Distinguish comparisons of absolute value from statements about order.
(1) NY-6.NS.8 Solve real-world and mathematical problems by graphing points on a coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

 

Essential Queston: How do positive and negative integers apply to real world situations? What does zero mean in these different contexts?

 

In what different ways can we describe quantities that are less than zero?

Rational Numbers

Absolute Value

Coordinate Planes

Integers-

Deposit-

Credit-

Withdraw-

Charge-

Debit-

Freezing Point-

Boiling Point-

Altitude-

Elevation-

Sea Level-

Gain-

Loss-

Rational Numbers-

Absolute Value-

Coordinate Plane-

Ordered Pair-

Origin-

Quadrants-

x-axis-

y-axis-

Reflections-

Polygons-

Vertices-

Perimeter-

Area-

  1. Use positive and negative numbers to represent quantities in real-world contexts.

  2. Explain the meaning of zero in a variety of real-world contexts.

  3. Plot negative integers on a number line.

  4. Plot ordered pairs with negative integer coordinates on the coordinate plane.

  5. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line.

  6. Recognize that the opposite of the opposite of a number is the number itself and that 0 is its own opposite.

  7. Find and position integers and other rational numbers on a
    horizontal or vertical number line diagram.

  8. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

  9. Write, interpret, and explain statements of order for rational numbers in real-world contexts.

  10. Explain that the absolute value of a rational number is its distance from zero on the number line.

  11. Compute absolute value expressions.

Vocabulary Flashcards:

https://drive.google.com/file/d/0B-JGHbDQBpQwdV9OYnZBNWdCMTQ/view?usp=sharing

 

Asolute Value and Coordinate Plane Vocab Notebook page

https://drive.google.com/file/d/0B-gVAfBYX60DUnJhbjFmaXNUY3M/view?usp=sharing

 

Absolute Value Graphics for Notebook:

https://drive.google.com/file/d/0B-JGHbDQBpQwT0o2YnVmc0Y5Zkk/view?usp=sharing

https://drive.google.com/file/d/0B-JGHbDQBpQwdGNTdzhfTFg1RDA/view?usp=sharing

Integer Quiz

https://drive.google.com/file/d/0B-gVAfBYX60DbW4zeEg2Y0ltNDA/view?usp=sharing

 

Integer & Rational Number Quiz:

https://drive.google.com/file/d/0B-JGHbDQBpQwM3VUMFNTaEdpSkU/view?usp=sharing

 

Rational Number, Graphing, Absolute Value Quiz:

https://drive.google.com/file/d/0B-JGHbDQBpQwUVhveDJxMnRLSVU/view?usp=sharing

 

 

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