Updated 7/16/2014
Advanced 7th Grade Math Curriculum Map
2014- 2015 School Year A (NEW 6th grade course)
First Semester / Second SemesterUnit 1
The Number System / Unit 2
Expressions,
Equations,
and
Inequalities / Unit 3
Ratio and Proportional
Reasoning / Unit 4
Geometric
Reasoning / Unit 5
Statistics / Unit 6
Probability / Unit 7
Introduction
to
Linear
Functions
(5 weeks) / (5 weeks) / (7 weeks) / (6 weeks) / (4 weeks) / ( 4 weeks) / (3 weeks)
Common Core Georgia Performance Standards
MCC7.NS.1
MCC7.NS.2
MCC7.NS.3
MCC.8.NS.1
MCC.8.NS.2
Introduction of square roots and cube roots portion of MCC.8.EE.2
REVIEW:
MCC6.NS.1-4 / MCC7.EE1
MCC7.EE2
MCC7.EE.3
MCC7.EE4a
MCC6.EE.8
MCC7.EE.4b
MCC.6.EE.9
REVIEW
MCC.6.EE.1-8 / MCC.6.RP.1
MCC.6.RP.2
MCC.6.RP.3
MCC.6.RP.3a
MCC.6.RP.3b
MCC.6.RP.3c
MCC.6.RP.3d
MCC.7.RP.1
MCC.7.RP.2a,b,c,d
MCC.7.RP.3
MCC.7.G.1
ONE WEEK OF FINALS / MCC.6.G.1
MCC.6.G.2
MCC.6.G.4
MCC.6.G.3
MCC.7.G.2
MCC.7.G.3
MCC.7.G.4
MCC.7.G.5
MCC.7.G.6 / MCC.6.SP.1
MCC.6.SP.2
MCC.6.SP.3
MCC.6.SP.4
MCC.6.SP.5
MCC.6.SP.5a
MCC.6.SP.5b
MCC.6.SP.5c
MCC.6.SP.5d / MCC7.SP.5
MCC7.SP.6
MCC7.SP.7: a,b
MCC7.SP.8: a,b,c / MCC.8.F.1
MCC.8.F.2
MCC.8.F.3
MCC.8.EE.5
MCC.8.EE.6
MCC.8.F.4
MCC.8.F.5
Course: Advanced 7th Grade YEAR A (for 6th grade students) YEAR A Grade Level: 6
Unit 1: The Number System7.NS.1 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.
7.NS.1a Describe situations in which opposite quantities combine to make 0.
7.NS.1b 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.
7.NS.1c 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.1d Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.
7.NS.2a 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 Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers then-pq=-pq=p-q . Interpret quotients of rational numbers by describing real-world contexts.
7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers
7.NS.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0’s or eventually repeats.
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.
8.NS.1Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).
8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Course: Advanced 7th Grade YEAR A(for 6th grade students) YEAR A Advanced Grade 7 – Unit 1:The Number System FIRST SEMESTER
August 4 / August 5 / August 6 / August 7 / August 8
Introductions, review syllabus, set expectations for student-centered, task-based instruction / Pre-test/Diagnostic Test / Review Integers and Absolute Value 7.NS.1 / Comparing and ordering integers and other rational numbers
7.NS.1 / Assessment over day 3 and day 4
Day 6 / Day 7 / Day 8 / Day 9 / Day 10
August 11 / August 12 / August 13 / August 14 / August 15
Add/subtract integers
7.NS.1 / Add/subtract integers
7.NS.1 / Show me the sign task
7.NS.1 / Debits/Credits Task
7.NS.1 / Review Combining integers (add/subtract only)
7.NS.1
Day 11 / Day 12 / Day 13 / Day 14 / Day 15
August 18 / August 19 / August 20 / August 21 / August 22
Multiplying & Dividing Integers
7.NS.2 / Patterns of Multiplication and Division Task / Patterns of Multiplication and Division Task
Independent Instruction / Independent Practice / Deep Freeze Task
“Spotlight Task”
Day 16 / Day 17 / Day 18 / Day 19 / Day 20
August 25 / August 26 / August 27 / August 28 / August 29
Independent Practice / Models for Teaching Operations of Integers. / Models for Teaching Operations of Integers. / Models for Teaching Operations of Integers. / Mastery Check on Integers
Day 21 / Day 22**Start Sept 8th / Day 23 / Day 24
September 1 / September 2 / September 3 / September 4 / September 5
Labor Day
[School Closed
for Students] / Professional Learning Day / Rational or Irrational Reasoning?
(8th Grade Frameworks) / Rational or Irrational Reasoning?
(8th Grade Frameworks) / Independent Practice
Day 25 / Day 26 / Day 27 / Day 28 / Day 29
September 8 / September 9 / September 10 / September 11 / September 12
Culminating Activity: Whodunit? The Undoing of (-7). / Culminating Activity: Whodunit? The Undoing of (-7). / Review Unit 1 / Review Unit 1 / Assessment Unit 1
Unit 1:The Number System
Unit 1: Learning Tasks and Performance Tasks
LT: Learning Task / CT: Culminating Task / Key Standards
PT: Performance Task / NS.1 / NS.1a / NS.1b / NS.1c / NS.1d / NS.2 / NS.2a / NS.2b / NS.2c / NS.2d / NS.3
Unit 1 Framework / Task: What's Your Sign? / LT / x / x / x / x / x
Unit 1 Framework / Task: Helicopters & Submarines / LT
Unit 1 Framework / Task: Hot Air Balloons / LT / x / x / x / x / x
Unit 1 Framework / Task: Debits and Credits / PT / x / x / x / x / x
Unit 1 Framework / Task: Multiplying Integers / LT / x / x / x / x
Unit 1 Framework / Task: Multiplying Rational Numbers / LT / x / x / x / x
Unit 1 Framework / Task: Patterns of Multiplication & Division / LT / x / x / x / x
Unit 1 Framework / Task: The Repeater Vs. the Terminator / LT / x / x
CMP: Accentuate the Negative / Investigation 2 / LT / x / x / x / x
CMP: Skills Practice (7th gd.) / SP / x / x
Coach Book / LT/PT / x / x / x / x / x / x
CMP: Accentuate the Negative / Investigation 3 / LT / x / x / x / x
CMP: Accentuate the Negative / Investigation 4 / LT / x / x / x / x
Exemplars Volume 10 / We Think Math is Really Fine / PT / x / x / x / x / x
Exemplars Volume 10 / ATT&T Choice / PT / x / x / x / x
Exemplars Volume 10 / Cookie Caper / PT / x / x / x / x
Exemplars Volume 10 / Gobble, Gobble, Gobble / PT / x
Exemplars Volume 10 / The Sweetest Time of the Year / PT / x / x
Exemplars Volume 10 / Candy Box / PT / x / x / x / x
Exemplars Volume 10 / Indoor Paintball field Trip / PT / x / x / x / x
Exemplars Volume 10 / Lugging Water II / PT / x / x
Exemplars Volume 10 / Mrs.McNair New Walkway / PT / x / x / x
Exemplars Volume 10 / Pyramids of Giza / PT / x / x
Exemplars Volume 10 / Tiffany's cand Making Buines / PT / x / x / x / x
Course: Advanced 7th Grade Year A Mathematics Grade Level: 7
Unit 2: Expressions and Equations and Inequalities7.EE.1Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.EE.2Understand 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.
7.EE.3Solve 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 as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
7.EE.4Use 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.
7.EE.4aSolve word problems leading to equations of the form px + q = r and p(x+q) = r, where p, q, and rare 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.
6.EE.8 Write an inequality of the form or to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form or have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
7.EE.4bSolve word problems leading to inequalities of the form px + q > ror px + q < r, where p, q, and rare specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
Represent and analyze quantitative relationships between dependent and independent variables.
6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Advanced Grade 7(for 6th grade students)—Unit 2:Expressions and Equations and Inequalities
September 15 / September 16 / September 17 / September 18 / September 19
Introduction of vocabulary and translating expressions
7.EE.1
Rational Numbers Test / Properties/combining like terms
7.EE.1 / Properties/combining like terms with distributive property
7.EE.1 / Adding and subtracting
algebraic expressions
Distributing and Factoring Using Area task 7.EE.1 / More practice of adding and subtracting algebraic expressions
7.EE.1
Day 6 / Day 7 / Day 8 / Day 9 / Day 10
September 22 / September 23 / September 24 / September 25 / September 26
Review of day 2 – day 6 / Evaluate algebraic expressions Algebra Magic task
7.EE.2 / Simplifying expressions
7.EE.2 / Assessment of
day 2 – day 9 / Translating equations/solving one step equations with integers (addition and subtraction property of equality)
7.EE.37.EE.4
Day 11 / Day 12 / Day 13 / Day 14 / Day 15
September 29 / September 30 / October 1 / October 2 / October 3
Translating equations/solving one step equations with integers (addition and subtraction property of equality)
7.EE.37.EE.4 / One step equations with integers (multiplication and division property of equality)
7.EE.37.EE.4 / Solving one step equations with fractions and decimals
7.EE.3
7.EE.4 / Review of one step equations with integers / Mastery Check One Step Equations
FALL BREAK October 6th – 10th
Day 16 / Day 17 / Day 18 / Day 19 / Day 20
October 13 / October 14 / October 15 / October 16 / October 17
Two step equations with integers
7.EE.37.EE.4 / Two step equations with rational numbers
7.EE.37.EE.4 / Two step equations review / Steps to Solving Equations FAL
Frameworks / Steps to Solving Equations FAL
Frameworks
Day 21 / Day 22 / Day 23 / Day 24 / Day 25
October 20 / October 21 / October 22 / October 23 / October 24
Introduction to solving and graphing inequalities, Want Ads (6th Grade Frameworks Unit 4)
7.EE.4 / Solving and graphing inequalities
7.EE.4 / Solving and graphing inequalities, expressions and equations review
TV and Video Games task / Solving and graphing inequalities. / Assessment of Unit 2
Unit 2:Expressions and Equations and Inequalities
Unit 2 color coded boxes
Unit 2: Learning Tasks and Performance Tasks