7TH GRADE PACING GUIDE
MATH INNOVATIONS UNIT 1: LET’S BE RATIONAL
August-September
Standards:
7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using
tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers
using mental computation and estimation strategies. For example, If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour,
or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 ¾ inches long in the center of a door that is 27 ½ inches wide, you will need to place the bar about 9
inches from each edge; this estimate can be used as a check on the exact computation.
7.NS.1abc Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal
or vertical number line diagram. A) Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two
constituents are oppositely charged. B) Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is
positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. C)
Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q). Show that the distance between two rational numbers on the number line is the
absolute value of their difference, and apply this principle in real-world contexts.
7.NS.2a Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. A) Understand that multiplication is
extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property leading to
products such as (-1)(-1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
7.NS.2b Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. B) Understand that integers can be
divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q.
Interpret quotients of rational numbers by describing real-world contexts.
7.NS.2d Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. D) Convert a rational number to a
decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for
manipulating fractions to complex fractions.
Standard/Target
Pretest
Pretest
7.NS.3 Knowledge Target: Add rational numbers. Knowledge
Target: Subtract rational numbers.
7.NS.3 Knowledge Target: Multiply rational numbers.
Knowledge Target: Divide rational numbers. Reasoning
Section/Lesson
Section 1: Fractions and Decimals
1.1: BIG Numbers
1.2: Little Numbers
Multiplication Facts Quiz: 2’s, 3’s, 5’s and
10’s
1.3: Adding and Subtracting Fractions
1.4: Multiplying and Dividing Fractions
*Need to add complex fractions.
Lewis County Middle School
# Days
1st of
Sept.
1
1
Formative Assessment
ACT #1
2
ACT #12, 54, 51, 5, 14, 14B, 119
2
ACT #7, 4, 83, 4A, 5
Standard/Target
Target: Solve real-world and mathematical problems by
adding, subtracting, multiplying, and dividing rational numbers,
including complex fractions.
7.EE.3 Knowledge Target: Convert between numerical forms
as appropriate.
7.NS.2d Knowledge Target: Convert a rational number to a
decimal using long division. Knowledge Target: Explain that
the decimal form of a rational number terminates (stops) in
zeroes or repeats.
Percent Proficiency:
7.NS.1 Knowledge Target: Describe situations in which
opposite quantities combine to make 0. Knowledge Target:
Represent and explain how a number and its opposite have a
sum of 0 and are additive inverses. Knowledge Target:
Demonstrate and explain how adding two numbers, p + q, if q is
positive, the sum of p and q will be |q| spaces to the right of p
on the number line. Reasoning Target: Represent the distance
between two rational numbers on a number line is the absolute
value of their difference and apply this principle in real-world
contexts.
Pretest
Percent Proficiency:
7.NS.1 Knowledge Target: Demonstrate and explain how
adding two numbers, p + q, if q is negative, the sum of p and q
will be |q| spaces to the left of p on the number line.
Reasoning Target: Interpret sums of rational numbers by
describing real-world contexts. Reasoning Target: Explain and
justify why the sum of p + q is located a distance of |q| in the
positive or negative direction from p on a number line.
Section/Lesson
# Days
Formative Assessment
Multiplication Facts Quiz: Square Numbers
1.5: Writing Fractions as Decimals
2
ACT#5
1.6: Decimal Patterns
Study Guide
Quiz
Section 2: Making Sense of Signed
Numbers
2.1: Signed Numbers
2.2: Integers
3
1
1
Mid
Sept.
1
3
ACT #3, 9, 6, 33
Multiplication Facts Quiz: Nines
2.3: Coordinate Graphing
Study Guide
Quiz
Section 3: Computation with Signed
Numbers
3.1: Adding Signed Numbers
1
1
1
3rd Wk
in Oct.
3
ACT #17
3.2: Integer Games
Multiplication Facts Quiz: Last Six Facts
Lewis County Middle School
2
ACT #13
PARCC #5
PARCC #12, 14; ACT #37, 43, 119
Standard/Target
7.NS.1 Knowledge Target: Identify subtraction of rational
numbers as adding the additive inverse to subtract rational
numbers, p – q = p + (-q). Reasoning Target: Apply and extend
previous understanding to represent addition and subtraction
problems of rational numbers with a horizontal or vertical
number line.
7.NS.1 Reasoning Target: Apply the principle of subtracting
rational numbers in real-world contexts. Reasoning Target:
Apply properties of operations as strategies to add and subtract
rational numbers.
7.NS.2a Knowledge Target: Recognize that the process for
multiplying fractions can be used to multiply rational numbers
including integers. Knowledge Target: Know and describe the
rules when multiplying signed numbers. Reasoning Target:
Interpret the products of rational numbers by describing realworld contexts.
7.EE.3 Reasoning Target: Solve multi-step real-life and
mathematical problems posed with positive and negative
rational numbers in any form (whole numbers, fractions, and
decimals), using tools strategically. Reasoning Target: Apply
properties of operations to calculate with numbers in any form.
Reasoning Target: Assess the reasonableness of answers using
mental computation and estimation strategies.
7.NS.2b Knowledge Target: Explain why integers can be
divided except when the divisor is 0. Knowledge Target:
Describe why the quotient is always a rational number.
Knowledge Target: Know and describe the rules when dividing
signed numbers, integers. Knowledge Target: Recognize that
-(p/q) = -p/q = p/-q. Reasoning Target: Interpret the quotient
of rational numbers by describing real-world contexts.
Percent Proficiency:
Percent Proficiency:
Section/Lesson
3.3: Linking Subtraction to Addition
# Days
3
Formative Assessment
PARCC #12; ACT #2
3.4: Subtracting Signed Numbers
3
PARCC #6, 8, 14
3.5: Multiplying Signed Numbers
1
ACT #11; PARCC #4, 2, 11
3.6: Dividing Signed Numbers
3
PARCC #10
Study Guide
Quiz
Study Guide
Unit Exam
1
1
1
1
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School
Lewis County Middle School