Parent Information
Contact Information
Curriculum Information
Math 6 Assignments
Math 6 Information
Math 6+ Assignments
Math 6+ Units
CCM6+ Unit 1
CCM6+ Unit 2
CCM6+ Unit 3
CCM6+ Unit 4
CCM6+ Unit 5
CCM6+ Unit 6
CCM6+ Unit 7
CCM6+ Unit 8
CCM6+ Unit 9
CCM6+ Unit 10
CCM6+ Unit 11
CCM6+ Unit 12
CCM6+ Unit 13
Math 6+7+ Assignments
Math 6+7+ units
CCM6+7+ Unit 1
CCM6+7+ Unit 2
CCM6+7+ Unit 3
CCM6+7+ Unit 4
CCM6+7+ Unit 5
CCM6+7+ Unit 6
CCM6+7+ Unit 7
CCM6+7+ Unit 8
CCM6+7+ Unit 9
CCM6+7+ Unit 10
CCM6+7+ Unit 11
CCM6+7+ Unit 12
CCM6+7+ Unit 13
CCM6+7+ Unit 14
Prodigy Math
Class Codes
MathCounts Class
Sequences and Series
Probability
Algebra
Geometry
Math Acceleration
7+ Prep
Mrs. Townsend
CCM6+7+ Unit 2
​Factors and rational numbers
Understandings
divisibility rules are helpful when solving math problems.
there are a variety of ways to find the prime factorization of a number.
there is a difference between GCF and LCM.
the greatest common factor (GCF) and least common multiple (LCM) of two or more numbers can be used to solve real world problems.
division of whole numbers by fractions and fractions by fractions can be determined using models or equations.
operations with fractions can be applied in the real world.
division of whole numbers by fractions and fractions by fractions can be written as contextual problems.
there is an algorithm for adding, subtracting, multiplying, and dividing whole numbers and decimals
decimals involving money must be rounded to the nearest hundredth.
rational numbers can be added and subtracted using a number line.
negative fractions and decimals can be written in context.
all rational decimals can be written as a fraction.
subtraction is finding the distance between two numbers on a number line.
there is an algorithm used to add, subtract, multiply and divide positive and negative fractions and decimals.
when division of rational numbers is represented by a fraction bar, both numbers can have a negative sign.
all fractions have an equivalent repeating or terminating decimal representation.
there are several ways to estimate and that estimation is a way to see if a solution is reasonable.
you can use a variety of tools to solve real world mathematical. problems with positive and negative rational numbers in any form.
there is an algorithm that can be used to convert a repeating decimal to a fraction.
real numbers are either rational or irrational.
that you can convert repeating decimals into their fraction equivalent by using patterns or algebraic reasoning.
any number written as a fractions is a rational number.
perfect squares and cubes can be used to estimate irrational numbers.
the value of a square root can be approximated between integers and that non-perfect square roots are irrational.
WEBSITE PRACTICE LINKS
Dividing Fractions -
this video is from LearnZillion and shows how to model division of fractions
-
https://learnzillion.com/lesson_plans/7928-use-models-for-division-of-fractions-by-fractions
Multi-Digit Multiplication Using the Standard Algorithm Notes
-
spiral review notes on multi-digit multiplication using the standard algorithm
http://achievethecore.org/content/upload/Grade%205%20Mini-Assessment%20-%20Multi-Digit%20Multiplication%20FINAL%20BRANDED.pdf
Khan Academy -
notes and videos on multiplying and dividing decimals using the standard algorithm
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-operations-with-decimals/v/multiplying-decimals
Essential Questions
How is division related to factors and multiples?
Which method do you prefer when finding prime factorization? Why?
Why is it important to be able to find the GCF and LCM of a set of numbers?
How and when would GCF and LCM be used to solve real-life situations?
How can the GCF and distributive property be used to rewrite a number?
How is multiplying or dividing by a fraction that is less than one different than multiplying or dividing by a fraction that is more than one?
Why is a reciprocal useful and how does it apply to fractions?
What are some misconceptions about working with fractions?
How is division of fractions connected to multiplying fractions?
Why do you multiply by the reciprocal when dividing fractions?
Why do we round and how does rounding affect the value of a number?
When might you apply decimal computation in the real world?
When in the real world would you need a decimal rather than a whole number?
How do you know if the product when multiplying decimals will be larger or smaller than the factors being multiplied?
How is dividing with multi-digit whole numbers different from dividing with multi-digit decimals?
When operating with positive and negative rational numbers, how is adding and subtracting similar to or different from multiplying and dividing?
How are rational numbers applied in real world contexts?
What is the difference between terminating and repeating decimals? How are they used?
Why is estimation important? When might you need to estimate?
What is the difference between a rational and irrational number?
Why would you need to convert between fractions and decimals?
When would you use an irrational number?
How would you use perfect squares or perfect cubes in a real world context?
Vertical Alignment
In 5
th
grade students add, subtract, multiply and divide fractions and decimals using whole number divisors.
In 5
th
grade students use operations of fractions to solve problems involving information presented in line plots.
Later in this course students will solve equations using operations with rational numbers.
In CCMI students apply rational numbers to the Laws of Exponents.
In CCMI students solve equations arising from linear and quadratic functions, and simple rational and exponential functions.
To determine additional ways to support and enrich student learning, please access the K-12 progression here
-
Turn on CC Math
Vocabulary
Addend, Algorithm, Clustering Estimation, Compatible Numbers, Complex Fraction, Composite Number, Cube Root, Decimal, Dividend, Divisor, Equivalent Fractions, Factor, Front End Estimation, Greatest Common Factor, Improper Fraction, Irrational numbers, Least Common Multiple, Maximum, Minimum, Mixed Numbers, Multiple, Multiplicative Inverse, Natural Numbers, Perfect Squares, Perfect Cubes, Prime Factorization, Prime Number, Radical, Radicand, Real Numbers, Reciprocal, Relatively Prime, Repeating Decimal, Square Roots, Terminating Decimal, Truncate, Visual Fraction Model, Whole numbers
ONLINE PRACTICE LINKS
Dividing Fractions -
this video is from LearnZillion and shows how to model division of fractions
-
https://learnzillion.com/lesson_plans/7928-use-models-for-division-of-fractions-by-fractions
Multi-Digit Multiplication Using the Standard Algorithm Notes
-
spiral review notes on multi-digit multiplication using the standard algorithm
http://achievethecore.org/content/upload/Grade%205%20Mini-Assessment%20-%20Multi-Digit%20Multiplication%20FINAL%20BRANDED.pdf
Khan Academy -
notes and videos on multiplying and dividing decimals using the standard algorithm
https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-operations-with-decimals/v/multiplying-decimals
Parent Information
Contact Information
Curriculum Information
Math 6 Assignments
Math 6 Information
Math 6+ Assignments
Math 6+ Units
CCM6+ Unit 1
CCM6+ Unit 2
CCM6+ Unit 3
CCM6+ Unit 4
CCM6+ Unit 5
CCM6+ Unit 6
CCM6+ Unit 7
CCM6+ Unit 8
CCM6+ Unit 9
CCM6+ Unit 10
CCM6+ Unit 11
CCM6+ Unit 12
CCM6+ Unit 13
Math 6+7+ Assignments
Math 6+7+ units
CCM6+7+ Unit 1
CCM6+7+ Unit 2
CCM6+7+ Unit 3
CCM6+7+ Unit 4
CCM6+7+ Unit 5
CCM6+7+ Unit 6
CCM6+7+ Unit 7
CCM6+7+ Unit 8
CCM6+7+ Unit 9
CCM6+7+ Unit 10
CCM6+7+ Unit 11
CCM6+7+ Unit 12
CCM6+7+ Unit 13
CCM6+7+ Unit 14
Prodigy Math
Class Codes
MathCounts Class
Sequences and Series
Probability
Algebra
Geometry
Math Acceleration
7+ Prep