Download 7TH GRADE PACING GUIDE unit 2 accent on algebra

7TH GRADE PACING GUIDE
MATH INNOVATIONS UNIT 2: ACCENT ON ALGEBRA
November-December
Standards:
7.NS.1d 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. D) Apply properties of operations as strategies to add and subtract rational numbers: Associative Property of Addition, Commutative Property
of Addition, Additive Identity Property of 0, Additive Inverses, Associative Property of Multiplication, Commutative Property of Multiplication, Multiplicative Identity
Property of 1, Multiplicative Inverse, Distributive Property of Multiplication Over Addition. Properties are listed in the Common Core State Standards Glossary, Table 3,
Properties of Operations.
7.NS.2a Apply and extend previous understandings of multiplication and division and 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.2c Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. C) Apply properties of operations as
strategies to multiply and divide rational numbers.
7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a
+ 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
7.EE.4ab Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning
about the quantities. A) Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of
these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter
of a rectangle is 54 cm. Its length is 6 cm. What is its width? B) Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific
rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3
per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Standard/Target
7.NS.1d Knowledge Target: Identify properties of addition
and subtraction when adding and subtracting rational
numbers.
7.NS.2c Knowledge Target: Identify how properties of
operations can be used to multiply and divide rational
numbers (such as distributive property, multiplicative inverse
property, multiplicative identity, commutative property for
multiplication, associative property for multiplication, etc.).
Section/Lesson
Section 1: Understanding and Using
Variables
1.1: Variables
1.2: Formulas
1.3: Mathematical Properties
Lewis County Middle School
# Days
Mid
Nov.
3
1
2
Formative Assessment
ACT:
#105
Standard/Target
Reasoning Target: Apply properties of operations as
strategies to multiply and divide rational numbers.
7.EE.1 Reasoning Target: Apply properties of operations as
strategies to add, subtract, factor, and expand linear
expressions with rational coefficients.
7.NS.2a Reasoning Target: Apply the properties of
operations, particularly distributive property, to multiply
rational numbers.
7.EE.1 Knowledge Target: Combine like terms with rational
coefficients. Knowledge Target: Factor and expand linear
expressions with rational coefficients using the distributive
property.
7.EE.2 Knowledge Target: Write equivalent expressions with
fractions, decimals, percents, and integers. Reasoning
Target: Rewrite an expression in an equivalent form in order
to provide insight about how quantities are related in a
problem context.
7.EE.4ab Knowledge Target: Fluently solve equations of the
form px + q = r and p(x + q) = r with speed and accuracy.
Percent Proficiency:
7.EE.4ab Reasoning Target: Use variables and construct
equations to represent quantities of the form px + q = r and
p(x + q) = r from real-world and mathematical problems.
Reasoning Target: Compare an algebraic solution to an
arithmetic solution by identifying the sequence of the
operations used in each approach. For example, the
perimeter of a rectangle is 54 cm. Its length is 6 cm. What is
its width? This can be answered algebraically by using only
the formula for perimeter (P = 2l + 2w) to isolate w or by
finding an arithmetic solution by substituting values into the
formula.
7.NS.1d Reasoning Target: Apply properties of operations as
strategies to add and subtract rational numbers.
7.EE.4ab Reasoning Target: Solve word problems leading to
equations of the form px + q = r and p(x + q) = r, where p, q,
and r are specific rational numbers.
7.EE.4ab Knowledge Target: Identify the sequence of
Section/Lesson
# Days
1.4: The Distributive Property
*Need to add factoring.
3
Study Guide
Quiz
Section 2: Solving Equations
2.1: Undoing Operations
1
1
End of
Nov.
2
2.2: Solving Equations by Undoing
2.3: Solving Equations Using Balance
1
2
2.4: Solving More Equations
2
Lewis County Middle School
Formative Assessment
ACT:
#3
Standard/Target
operations used to solve an algebraic equation of the form px
+ q = r and p(x + q) = r. Knowledge Target: Graph the
solution set of the inequality of the form px + q >r or px + q <
r, where p, q, and r are specific rational numbers. Reasoning
Target: Solve word problems leading to inequalities of the
form px + q > r or px + q < r, where p, q, and r are specific
rational numbers. Reasoning Target: Interpret the solution
set of an inequality in the context of the problem.
Percent Proficiency:
Percent Proficiency:
Percent Proficiency:
Section/Lesson
*Add solving inequalities and word
problems with inequalities.
# Days
Study Guide
Quiz
Section 3: Representing Linear Patterns
Using Equations, Graphs and Tables
3.1: Linear Patterns
3.2: Increasing and Decreasing
Relationships
3.3: Explicit Rules
3.4: Linking Graphs, Tables and Equations
Study Guide
Quiz
Study Guide
Unit Exam
1
1
End of
Dec.
3
2
Lewis County Middle School
3
2
1
1
1
1
Formative Assessment
ACT:
#52
Lewis County Middle School