

Unit 2 Integers
and Rational Numbers Grade
7 Math 


Unit
Description: 


Students
continue to build an understanding of the number line in Unit 2 from their
work in Grade 6. They develop a unified understanding of numbers, recognizing
fractions, decimals (that have a finite or repeating decimal representation),
and percents as different representations of rational numbers. Students should apply and extend their
understanding of addition, subtraction, multiplication, and division to add,
subtract, multiply and divide within the entire set of rational numbers.
Students should begin this unit representing addition and subtraction on a
horizontal or vertical number line diagram and finish the unit being able to
apply properties of operations as strategies to add, subtract, multiply and
divide rational numbers. They should also apply their understanding of
positive and negative numbers to establish the rules for multiplying signed
numbers. Additionally, students should understand that integers can be
divided, provided that the divisor is not zero, and develop an understanding
that the quotient of integers (with nonzero divisors) is a rational
number. Students should leave this
unit with a deeper conceptual understanding of positive and negative rational
numbers and be able to use them to solve realworld and mathematical problems
including realworld problems where the sum is zero. Although procedural
skill and fluency should be improved through this unit, conceptual
understanding should be the basis for discovery and instruction. Unit 2 includes rational numbers as they
appear in expressions and equations—work that is continued in Unit 3. A focus on equivalent expressions is
important as student prepare for work with equations and inequalities in Unit
3. 

Standards
for Mathematical Practice 

MP.1 Make sense of problems and persevere
in solving them. MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments and
critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically. MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in
repeated reasoning. 



·
Rational
numbers use the same properties as whole numbers. ·
Rational
numbers can be used to represent and solve reallife situation problems. ·
Rational
numbers can be represented with visuals (including distance models),
language, and reallife contexts. ·
A number
line model can be used to represent the unique placement of any number in
relation to other numbers. ·
There are
precise terms and sequences to describe operations with rational numbers. 
Essential
Questions: ·
Why
do I need mathematical operations? ·
What
is the relationship between properties of operations and types of numbers? ·
How
do I know which mathematical operation (+, , x, ÷, exponents, etc.) to use? ·
How
do I know which computational method (mental math, estimation, paper and
pencil, and calculator) to use? ·
How
do you add rational numbers? ·
How
do you subtract rational numbers? ·
How
do you multiply rational numbers? ·
How
do you divide rational numbers? ·
How
is computation with rational numbers similar to and different from whole
number computation? ·
How
are rational numbers used and applied in reallife and mathematical
situations? ·
How
does the ongoing use of fractions and decimals apply to reallife situations? 


