Week #1-2 Essential Question:
How do you use the GCF (Greatest Common Factor)to solve real-world problems?
How do you use distributive property to rewrite a sum of two or more numbers as a product of the GCF and a sum of numbers with no factors?
Example: 20 + 24 = 4(5 + 6) Pull out GCF and factor pairs are in the parenthesis.
Week #3-4 Essential Question:
How do you use the LCM (Least Common Multiple) to solve real-world problems?
* Review GCF
How do you use the GCF (Greatest Common Factor)to solve real-world problems?
How do you use distributive property to rewrite a sum of two or more numbers as a product of the GCF and a sum of numbers with no factors?
Example: 20 + 24 = 4(5 + 6) Pull out GCF and factor pairs are in the parenthesis.
Week #3-4 Essential Question:
How do you use the LCM (Least Common Multiple) to solve real-world problems?
* Review GCF
Week # 5-9 Essential Question:
Big ideas: Completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers: Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. Students use these operations to solve problems. (CCSS Grade 6 p. 39).
Big ideas: Completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers: Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. Students use these operations to solve problems. (CCSS Grade 6 p. 39).
- How does division of fractions relate to multiplication of fractions?
- How is division of fractions used in the real world?
- Why is the quotient greater than the divided when dividing by a value less than one?
- How does repeated subtraction or equal groups relate to the measurement concept?
- How much is one as it relates to the partition concept?
- Why is the placement of decimal points important when I am computing with decimals?
- How can I maintain the proper place value when I am multiplying decimals?
- How do I divide decimals?
- How can I divide fractions?
Week # 10-14 Essential Question:
Big ideas: Complete extending the notion of number to the system of rational numbers, which includes negative numbers:
Students extend their previous understandings of number and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular negative integers. They reason about the order and absolute value of rational numbers and about the location of points in all four quadrants of the coordinate plane. (CCSS Grade 6 p. 39)
Essential Questions
Big ideas: Students understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students understand that expressions in different forms can be equivalent, and they use the properties of operations to rewrite expressions in equivalent forms.
Big ideas: Complete extending the notion of number to the system of rational numbers, which includes negative numbers:
Students extend their previous understandings of number and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular negative integers. They reason about the order and absolute value of rational numbers and about the location of points in all four quadrants of the coordinate plane. (CCSS Grade 6 p. 39)
- What are integers?
- What are negative numbers?
- What is absolute value?
- How can I use a number line to determine a number’s opposite?
- In a real life situation, how can I tell if positive or negative numbers are involved when I am figuring out a problem?
- What is a rational number?
- What is a coordinate plane?
- How can I find, identify or place a point on the coordinate plane?
- What is a quadrant on the coordinate plane?
- What is coordinate geometry?
- How can I draw a polygon?
Essential Questions
Big ideas: Students understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students understand that expressions in different forms can be equivalent, and they use the properties of operations to rewrite expressions in equivalent forms.
- What is an expression?
- What is an equation?
- What is a variable?
- What is a coefficient?
- What is a term?
- How can I translate a word phrase into a mathematical expression?
- What are equivalent expressions?
- How can I find out if two expressions are equivalent?