UNIT 2: The Number System
Unit/ Topic Length:
 Students will learn to compute fluently with multi-digit whole and decimal
numbers. Students will also learn to find common factors and multiples. Use of the
distributive property to express a sum of two whole numbers will also be taught.
Focus will also be placed on problem solving strategies.
Essential Questions:
 What is the strategy to divide multi-digit numbers?
 What is the strategy to add, subtract, multiply and divide multi-digit decimals?
 How do you find the greatest common factor of two whole numbers less than 100?
 How do you find the least common multiple of two whole numbers less than or
equal to 12?
Big Ideas/Enduring
Understandings
 Fluently divide multi-digit
numbers using the standard
algorithm.
 Fluently add, subtract, multiply
and divide multi-digit decimals
using the standard algorithm for
each operation.
 Find the greatest common factor of
two whole numbers less than or
equal to 100 and the least common
multiple of two whole numbers
less than or equal to 12.
 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
 Determine what information is
needed to solve problems
 Generate possible strategies and
solutions to solve problems
Guiding Questions:
1. How do we divide multi-digit numbers
using the standard algorithm?
2. How do we add multi-digit decimals
using the standard algorithm?
3. How do we subtract multi-digit
decimals using the standard algorithm?
4. How do we multiply multi-digit
decimals using the standard algorithm?
5. How do we divide multi-digit decimals
using the standard algorithm?
6. How do we find the greatest common
factor of 2 whole numbers?
7. How do we find the least common
multiple of 2 whole numbers?
8. How do we use the distributive
property to express a sum of 2 numbers
with a common factor as a multiple of a
sum of 2 whole numbers with no
common factor?
NYS Standards and Indicators Assessed
6.N.3 Define and identify the distributive property of multiplication over addition.
6.PS.3 – Interpret information correctly, identify the problem, and generate possible
strategies and solutions
NYS Common Core Standards for Mathematics Assessed:
6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.
6.NS. 3 Fluently add, subtract, multiply and divide multi-digit decimals using the
standard algorithm for each operation.
6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100
and the least common multiple of 2 whole numbers less than or equal to 12. Use the
distributive property to express a sum of 2 whole numbers 1-100 with a common factor as a
multiple of a sum of 2 whole numbers with no common factor.
Content
 Divide Multi-digit numbers
 Add, subtract, multiply, divide multidigit decimals
 Greatest common factor
 Least common multiple
 Problem-Solving Strategies
Skills
 Fluently divide whole numbers
 Fluently add, subtract, multiply and
divide multi-digit decimals
 Find the greatest common factor of 2
whole numbers less than or equal to
0
 Find the least common multiple of 2
whole numbers less than or equal to
12
 Use the distributive property to
express an equation as a multiple of
a sum of 2 whole numbers with no
common factor
 Identify steps to solving problems
including identifying relevant &
irrelevant information
Vocabulary/ Key Terms
Algorithm, common factor, common multiple, difference, Distributive Property, dividend,
divisor, factor , GCF, LCM, product, quotient, sum
ASSESSMENT EVIDENCE
Authentic Performance Task(s):
Alignment to NYS and/or Common Core
Standards for Mathematics:
Students will be able to solve problems
using multi-digit decimals.
Math Standards for Practice
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
Formative Assessments:
1. Discussions
2. Reflections at the end of class
3. Homework
Summative Assessments:
1. Quiz (graded)
2. Performance Task
TEACHING PLAN
Teaching and Learning Activities:
1.
2.
3.
4.
5.
Introduce unit vocabulary and integrate vocabulary into unit to learn the words.
Use unit guiding questions
Have students complete performance task for the unit.
Use essential question as a post-assessment.
Administer the unit test.
Resources Needed:
Math Curriculum, Impact Math, Math Review Handbook, NYSR – Grade 6