8th Grade MSCD Curriculum Map (June 2014) · · 2014-08-278th Grade MSCD Curriculum Map (June...
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8 th Grade MSCD Curriculum Map (June 2014) Oregon Focus Book 1 Linear Equations Prior Grade Level Content (Pre-Requisite) CCSS Grade Level Content (Original Text) CCSS Grade Level Content (Companion Text) Future Grade Level Content (Extension) Mathematical Practices: MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning. Unit 1 (Block 1) Expressions and Equations Oregon Focus Recommended Pacing -15 days Lesson Lesson Title CCSS Resources Engage NY 1 Order of Operations 7.NS.3 Algebra (7-9) Reproducible – Most Difficult Order of Operations with Integers – pg 23 Khan Academy – Order of operations More Complicated Order of Operations Example Order of Operations 1 Algebra 1 Reproducible – Order of Operations I pg 5 Gr 6 Module 4 Lesson 5: Exponents Lesson 6: The order of Operations
Transcript of 8th Grade MSCD Curriculum Map (June 2014) · · 2014-08-278th Grade MSCD Curriculum Map (June...
8th Grade MSCD Curriculum Map (June 2014)
Oregon Focus Book 1
Linear Equations
Prior Grade Level Content (Pre-Requisite)
CCSS Grade Level Content (Original Text)
CCSS Grade Level Content (Companion Text)
Future Grade Level Content (Extension)
Mathematical Practices: MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning.
Unit 1 (Block 1) Expressions and Equations
Oregon Focus Recommended Pacing -15 days
Lesson Lesson Title CCSS Resources Engage NY
1 Order of Operations
7.NS.3 Algebra (7-9) Reproducible – Most Difficult Order of Operations with Integers – pg 23 Khan Academy – Order of operations More Complicated Order of Operations Example Order of Operations 1 Algebra 1 Reproducible – Order of Operations I pg 5
Gr 6 Module 4 Lesson 5: Exponents Lesson 6: The order of Operations
Exponents pg 6 Order of Operations II Absolute Value pg 25
2 Evaluating Expressions
6.EE.2 7.EE.1
Khan Academy-Variables Expressions and Equations Variables and Expressions 1 Algebra (7-9) Reproducible – Evaluate – pg 15 Algebra 1 Reproducible – Evaluating Expressions – pg 8 Algebra II (7-9) Reproducible – Order of Operations-using expressions – pg 6
Gr 6 Module 4 Lesson 18: Writing and Evaluating Expressions – Addition and Subtraction Lesson 19: Substituting to Evaluate addition and Subtraction Expressions. Lesson 20: Writing and Evaluating Expressions – Multiplication and Division Lesson 21: Writing and Evaluating Expressions – Multiplication and Addition. Lesson 22: Writing and Evaluating Expressions-Exponents. Gr 7 Module 3 Lesson 1-2: Generating Equivalent Expressions Lesson 3-4: Writing Products as Sums and Sums as Products Lesson 5: Using the identity and Inverse to Write Equivalent Expressions. Lesson 6: Collecting Rational Number Like Terms
3 The Distributive Property
7.EE.1 Algebra (7-9) Reproducible – The Distributive Property – pg 20 More Simplifying Expressions – pg 21 Algebra II (7-9) Reproducible – The distributive Property –pg 4 Khan Academy –Solving Equations with the Distributive Property
Gr 6 Module 4 Lesson 9: Writing Addition and Subtraction Expressions Lesson 10: Writing and Expanding Multiplication Expressions Lesson 11: Factoring Expressions Lesson 12: Distributing Expressions Lessons 13-14: Writing Division Expressions
4 Solving One-Step Equations
6.EE.7 Khan Academy – Simple Equations Solving One-Step Equations Solving One-Step Equations 2 Algebra (7-9) Reproducible – Solving Linear Equations – pg 16 Algebra 1 Reproducible – Solving Equations – pg 10 Algebra II (7-9) Reproducible – Solving Linear Equations –pg 7
Gr 6 Module 4 Lesson 26: One Step Equations – Addition and Subtraction Lesson 27: One Step Equations – Multiplication and Division. Lessons 28: Two-Step Problems- All Operations Lesson 29: Multi-Step Problems-All Operations
5 Solving Two-Step Equations
8.EE.7b Algebra (7-9) Reproducible – More Word Problems – pg 18 Solving Twp-Step Equations with Integers – pg 17 Algebra 1 Reproducible – Two-Step Equations – pg 11 Equations Word Problems – pg 12 Equations With Fractions-pg 24 Equations With Integers pg 32 Algebra II (7-9) Reproducible – More Linear Equations- pg8 Study Island – Common Core Grade 7 Multi-Step Real World Problems Khan Academy – Algebra: Linear Equations 2 Solving Equations 1 Two-Step Equations Equations 3 Equations with Variables on Both Sides Multi-Step Equations Multi-step equations 1 Multi-step equations 2
Gr 8 Module 4 Lesson 1: Writing Equations and Using Symbols Lesson 2: Linear and Non-Linear Expressions in x Lesson 3: Linear Equations in x Lesson 4: Solving a Linear Equation Lesson 5: Writing and Solving Linear Equations Lesson 6: Solutions of a Linear Equation Lesson 7: Classification of Solutions Lesson 8: Linear Equation in Disguise Lesson 9: An Application of Linear Equation.
6 Solving Multi-Step Equations
8.EE.7b
3-A Solutions to Linear Equations
8.EE.7a Khan Academy – Algebra: Linear Equations 1 Algebra: Linear Equations 2 Algebra: Linear Equations 3
Algebra: Linear Equations 4 Word Problem Solving 4
7 The Coordinate Plane and Scatter Plots
8.SP.1 Algebra 1 Reproducible – Graphing Vocabulary – pg 33 Ordered Pairs- pg34 Graphing Points-pg 35 Khan Academy – Quadrants of Coordinate Plane The Coordinate Plane Plot ordered pairs
Gr 8 Module 6 Lesson 6: Scatter Plots Lesson 7: Patterns in Scatter Plots
Unit 2 (Block 2) Sequences and Slope
Oregon Focus Recommended Pacing - 12 days
Lesson Lesson Title CCSS Resources Engage NY
8 Recursive Routines
8.F.4 Gr 8 Module 6 Lesson 1: Modeling Linear Relationship Lesson 2 Interpreting Rate of Change and Initial Value Lesson 3: Representation of a Line Lesson 4: Increasing and Decreasing Functions.
9 Linear Plots
8.F.4
10 Recursive Routine Applications
8.F.4
11 Rate of Change
8.F.4 Khan Academy Basic Linear Function Exploring linear relationships Linear Equations in Slope Intercept Form Slope and Rate of Change
12 Recursive Routines to Equations
8.EE.6 8.F.3
Gr 8 Module 4 Lesson 15: The Slope of a non-Vertical Line Lesson 16: The Computation of the Slope of a Non-Vertical Line Lesson 17: The Line Joining Two Points of the Graph y – mx + b has Slope m
13 Input-Output Tables from Equations
8.EE.6 8.F.A
Algebra 1 Reproducible – Table of Values – pg 37 Graphing Linear Equtions –pg 38
14 Calculating Slope from 8.EE.6 Khan Academy – Slope of a line
Graphs
Slope Example Slope and Rate of Change Graphs Using Slope-Intercept Form Interpreting Linear Graphs Algebra: Slope Algebra: Slope 2 Algebra: Slope 3 Graphical Slope of a Line
Lesson 18: There is Only One Line Passing through a Given Point with a Given Slope Lesson 19: The Graph of a Linear Equation in Two Variable is a Line Lesson 20: Every Line is a Graph of a Linear Equation Lesson 21: Some Facts about Graphs of a Linear Equation in Two Variables Lesson 22: Constant Rates Revisited Lesson 23: The Defining Equation of a Line
15 The Slope Formula
8.EE.6 Khan Academy – Slope of a Line 2 Slope of a Line 3 Linear Equations in Point Slope Form X and Y intercepts X and Y intercepts 2
Unit 3 – (Block 3) Using Linear Equations
Oregon Focus Recommended Pacing – 15 days
Lesson Lesson Title CCSS Resources Engage NY
3-B Direct Variation Tables and Slope
8.EE.5 8.F.2
Khan Academy – Direct Variation Models Direct Variation 1 Introduction to functions Functions as Graphs Functional Relationships 1 Domain and Range 2 Functions 1 Testing if a relationship is a function U03_L2_T1_we2 Representing Functions as Graphs
Gr 8 Module 5 Lesson 1: The Concept of a Function Lesson 2: Formal Definition of a Function Lesson 3: Linear Functions and Proportionality Lesson 4: More Examples of Functions Lesson 5: Graphs of Functions and Equations Lesson 6: Graphs of Linear Functions and Rate of Change Lesson 7: Comparing Linear Functions and Graphs Lesson 8: Graphs of Simple Non-Linear Functions Gr 8 Module 4 Lesson 10: A Critical Look at Proportional Relationships Lesson 11: Constant Rate
16 Graphing Using Slope-Intercept Form A great interactive lesson that lets students understand slope and y-intercept as they pertain to
8.F.3 Algebra 1 Reproducible – Slope-Intercept Form – pg 39 Slope-Intercept Graphs – pg 40 Algebra II (7-9) Reproducible – Graphing Linear Equations –pg10 Khan Academy – Graphing Using Intercepts Linear Equations in Slope Intercept Form Basic Linear Function Converting to slope-intercept form
equations and graphing them. Slope and Y-intercept Intuition
Equation of a line 1 Equation of a line 2 Equation of a line 3 Exploring linear relationships Graphing a line in slope intercept form Point-slope and standard form Recognizing Linear Functions
Lesson 12: Linear Equations in Two Variables Lesson 13: The Graph of a Linear Equation in Two Variables Lesson 14: The Graph of a Linear Equation-Horizontal and Vertical Lines
17 Writing Linear Equations for Graphs
8.F.4 Algebra II (7-9) Reproducible – Slope of a Line pg 11 Khan Academy – Application problem with graph Basic Linear Function Direct Variation 1 Exploring linear relationships Linear Equations in Slope Intercept Form
Gr 8 Module 6 Lesson 1: Molding Linear Relationship Lesson 2: Interpreting Rate of Change and Initial Value Lesson 3: Representation of a Line Lesson 4-5: Increasing and Decreasing Functions
18 Writing Linear Equations from Key Information
8.F.4 Algebra II (7-9) Reproducible – Slope-Intercept Form pg 12 Khan Academy – Application problem with graph Exploring linear relationships Graphs of Linear Equations
19 Different Forms of Linear Equations
HS.A-SSE.3
20 More Graphing Linear Equations
HS.A-SSE.3
3-C Understanding Functions
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output
8.F.1 Kahn Academy – Functions 1 Functions 2
Gr 8 Module 5 Lesson 1: The Concept of a Function Lesson 2: Formal Definition of a Function Lesson 3: Linear Functions and Proportionality Lesson 4: More Examples of Functions
21 Introduction to Non-Linear
Functions
8.EE.7 8.F.4
Study Island Common Core Grade 8 Linear vs. Nonlinear
Unit 4 (Block 4) Systems of Equations
Oregon Focus Recommended Pacing – 16 days
Lesson Lesson Title CCSS Resources Engage NY
22 Parallel, Intersecting or the Same Line
8.EE.8a Kahn Academy – Parallel lines 1
Equations of Parallel and Perpendicular Lines
Gr 8 Module 4 Lesson 24: Introduction to Simultaneous Equations Lesson 25: Geometric Interpretation of the Solutions of a Linear System Lesson 26: Characterization of Parallel Lines Lesson 27: Nature of Solutions of a System of Linear Equations Lesson 28: Another Computational Method of Solving a Linear System Lesson 29: Word Problems Lesson 30: Conversion Between Celsius and Fahrenheit
23 Solving Systems by Graphing
8.EE.8 Algebra II (7-9) Reproducible – Solving Linear Systems by Graphing-pg
14 Khan Academy – Solving Linear Systems by Graphing
24 Solving Systems Using Tables
8.EE.8
25 Solving Systems by Substitution
8.EE.8 Algebra II (7-9) Reproducible – Solving Linear Systems by Substitution – pg 15 Khan Academy – Solving Linear Systems by Substitution Substitution Method 2 Substitution Method 3
26 Solving Systems Using Elimination
8.EE.8 Algebra II (7-9) Reproducible – Solving Linear Systems by Linear Combinations – pg 16 Khan Academy – Solving Systems of Equations by Elimination Solving Systems of Equations by Multiplication Special Types of Linear Systems
27 Choosing the Best Method 8.EE.8 Study Island Common Core Grade 8 Systems of Equations
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/solving-systems-of-equations-by-elimination
28 Applications of Systems of
Equations
8.EE.8 Algebra II (7-9) Reproducible – Linear Systems Problems (word problems) pg 17
Unit 5 (Companion Text) Exponent Properties
Oregon Focus Recommended Pacing – 10 days
Lesson Lesson Title CCSS Resources Engage NY
3-D Converting Repeated Decimals to Fractions
8.N.S.1 BMCC Math25 lesson Gr 8 Module 7 Lesson 6: Finite and Infinite Decimals Lesson 7: Infinite Decimals Lesson 8: The Long Division Algorithm Lesson 9: Decimal Expansions of Fractions Part 1 Lesson 10: Converting Repeating Decimal to Fractions
3-E Multiplication Properties of Exponents
8.EE.1 Algebra Grades 7 – 9 – More Adding and Subtracting Monomials – pg 12 Multiplying Monomials – pg 13 Powers of Monomials – pg 14 Algebra II (7-9) Reproducibles – Multiplying & Dividing Monomials – pg 22 Powers of Monomials –pg 23
Gr 8 Module 1 Lesson 1: Exponential Notation Lesson 2: Multiplication of Numbers in Exponential Form Lesson 3: umbers in Exponential Form Raised to a Power Lesson 4: Numbers Raised to the Zeroth Power Lesson 5: Negative Exponents and the Laws of Exponents Lesson 6: Proofs of Laws of Exponents
3-F Division Properties of Exponents
8.EE.1 Algebra (7-9) Reproducibles – Dividing Monomials – pg 29
3-G Scientific Notation
8.EE.3 Algebra 1 Reproducibles – Scientific Notation – pg 18 Khan Academy – Scientific Notation
Gr 8 Module 1 Lesson 7: Magnitude
3-H Applications of Scientific Notation
8.EE.4 Lesson 8 Estimating Quantities Lesson 9: Scientific Notation Lesson 10: Operations with Numbers in Scientific Notation Lesson 11: Efficacy of the Scientific Notation Lesson 12: Choice of Unit Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Unit 6 (Block 4) Two-Variable Data
Oregon Focus Recommended Pacing – 14 days
Lesson Lesson Title CCSS Resources Engage NY
20 Scatter Plots and Correlation
8.SP.1 Study Island Common Core Grade 8 Scatter Plots Khan Academy – Interpreting Linear Graphs
Gr 8 Module 6 Lesson 6: Scatter Plots Lesson 7: Patterns in Scatter Plots Lesson 8: Informally Fitting a Line Lesson 9: Determining the Equation of a Line Fit to Data Lesson 10: Linear Models Lesson 11: Using Linear Models in a Data Context Lesson 12: Nonlinear Models in a Data Context Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way Table Lesson 14: Association Between Categorical Variables
21 Predicting with Lines of Best Fit
8.SP.1 8.SP.3
Khan Academy – Fitting a Line to Data Predicting with Linear Models
12 Five-Number Summaries of Data
6.SP.4
22 Q-Points and Lines of Best Fit
8.SP.1 8.SP.2 8.SP.3
23 Predicting with Best Fit Equations
8.SP.1 8.SP.2 8.SP.3
24 Choosing Appropriate Data 6.SP.4
Displays
8.SP.2 8.SP.4
25 Using Data and Graphs to Persuade
8.SP.1
3-I Bivariate Data and Frequency Tables
8.SP.4 Study Island Common Core Grade 8 Interpret Bivariate Data
Unit 7 (Block 1) Angle Pairs
Oregon Focus Recommended Pacing – 10 days
Lesson Lesson Title CCSS Resources Engage NY
1 Measuring and Naming Angles
4.MD.5 4.MD.6
Khan Academy – Introduction to angles (old) Angles (part 2) Measuring angles
2 Classifying Angles
4.MD.5 4.MD.6 4.MD.7
Khan Academy – Introduction to angles (old) Angles (part 2) Measuring angles Angle Game (part 2)
3 Complementary and Supplementary Angles
7.G.5 Khan Academy – Complementary and supplementary angles Supplementary angles
Complementary angles
4 Vertical Angles
7.G.5 Kahn Academy – Proof-Vertical Angles are Equal Vertical angles 2 Angles (part 3)
5 Alternate Exterior and Interior Angles
8.G.5 Kahn Academy – Alternate interior angles Angles formed between transversals and parallel lines
Angles of parallel lines 2
6 Corresponding and Same Side Interior Angles
8.G.5 Kahn Academy – The Angle Game
Unit 8 (Block 2) Triangles and Quadrilaterals
Oregon Focus Recommended Pacing – 12 Days
Lesson Lesson Title CCSS Resources Engage NY
7 Classifying Triangles
5.G.4 Khan Academy – Triangles Triangle Angle Example 1 Triangle Angle Example 2
Triangle Angle Example 3
8 Angle Sum of a Triangle
8.G.5 Khan Academy – Proof - Sum of Measures of Angles in a Triangle are 180 Figuring out all the angles for congruent triangles example
Gr 8 Module 2 Lesson 11: Definition of Congruence and Some Basic Properties Lesson 12: Angles Associated with Parallel Lines Lesson 13: Angle Sum of a Triangle Lesson 14: ore on the Angles of a Triangle Gr 8 Module 3 Lesson 8: Similarity Lesson 9: Basic Properties of Similarity Lesson 10: Informal Proof of Angle-Angle Criterion Lesson 11: More About Similar Triangles Lesson 12: Modeling with Similarity
9 Special Triangles
8.G.5 Khan Academy – Equilateral Triangle Sides and Angles Congruent Another Isosceles Example Problem
10 Congruent and Similar Triangles
8.G.2 8.G.4
Khan Academy – Similar Triangle Basics Congruent and Similar Triangles Similar triangles (part 2) Similar Triangle Example Problems Similarity Example Problems Application of Similar Triangles Congruent triangles 1 Congruent triangles 2
11 Parallel Lines and Similar Triangles
8.G.5 Study Island 2007 Grade 8 Parallel Lines & Transversals Example involving an isosceles triangle and parallel lines
Unit 9 (Block 3) The Pythagorean Theorem
Oregon Focus Recommended Pacing – 14 Days
http://www.khanacademy.org/math/geometry/triangles/v/equilateral-triangle-sides-and-angles-congruent
Lesson Lesson Title CCSS Resources Engage NY
14 Perfect Squares
8.EE.2 Study Island 2007 Grade 8 Square Roots Khan Academy – Understanding Square Roots Square Roots and Real Numbers
Gr 8 Module 7 Lesson 1: The Pythagorean Theorem Lesson 2: Square Roots Lesson 3: Existence and Uniqueness of Square and
Cube Roots Lesson 4: Simplifying Square Roots Lesson 5: Solving Radical Equations Lesson 11: The Decimal Expansion of Some Irrational
Numbers Lesson 12: Decimal Expansion of Fractions, Part 2 Lesson 13: Comparing Irrational Numbers Lesson 14: Decimal Expansion of pii
15 Estimating Square Roots
8.EE.2 8.NS.1
Study Island Common Core Grade 8 Square & Cube Roots Khan Academy – Approximating Square Roots Number Sets Number Sets 1 Number Sets 3
16 The Pythagorean Theorem
8.G.6 8.G.7
Study Island Common Core Grade 8 Pythagorean Theorem Study Island 2007 Grade 8 Pythagorean Theroem – Khan Academy – Visual Pythagorean Theorem Proof Pythagorean Theorem Pythagorean Theorem 1 Pythagorean Theorem 2 Pythagorean Theorem 3 Pythagorean Theorem II
Gr 8 Module 2 Lesson 15: Informal Proof of the Pythagorean Theorem Lesson 16: Applications of the Pythagorean Theorem Gr 8 Module 3 Lesson 13: Proof of the Pythagorean Theorem Lesson 14: Converse of the Pythagorean Theorem Gr 8 Module 4 Lesson 31: System of Equations Leading to Pythagorean Triples Gr 8 Module 7 Lesson 15: Pythagorean Theorem, Revisited
17 Converse of the Pythagorean Theorem
8.G.6 8.G.7
Study Island Common Core Grade 8 Pythagorean Theorem
18 Applying the Pythagorean Theorem
8.G.6 8.G.7
Study Island Common Core Grade 8 Pythagorean Theorem
19 Distance on the Coordinate Plane
8.G.8 Khan Academy – Visual Pythagorean Theorem Proof
20 The Distance Formula 8.G.8 Khan Academy – Distance Formula
Lesson 16: Converse of the Pythagorean Theorem Lesson 17: Distance on the Coordinate Plane Lesson 18: Applications of the Pythagorean Theorem
Unit 10 (Companion Text) Volume and Transformations
Oregon Focus Recommended Pacing – 12 days
Lesson Lesson Title CCSS Resources Engage NY
3-J Exponents and Roots
8.EE.2 Study Island Common Core Grade 8 Laws of Exponents Square & Cube Roots Kahn Academy – Simplifying Expressions with Exponents Simplifying Expressions with Exponents 2
Simplifying Expressions with Exponents 3
3-K Volume of Cylinders
8.G.9 Study Island Common Core Grade 8 Volume Khan Aca demy - Cylinder Volume and Surface Area
Gr 8 Module 5 Lesson 9: Examples of Functions from Geometry Lesson 10: Volume of Familiar Solids and Cylinders Lessons 11: Volume of a Sphere Gr 8 Module 7 Lesson 19: Cones and Spheres Lesson 20: Truncated Cones Lesson 21: Volume of Composite Solids
3-L Volume of Cones
8.G.9 Study Island Common Core Grade 8 Volume
3-M Volume of Spheres
8.G.9 Study Island Common Core Grade 8 Volume Khan Academy –
Volume of a Sphere
3-N Transformations
8.G.1 8.G.3
Study Island Common Core Grade 8 Object Transformations Parallel lines 1
Gr 8 Module 2 Lesson 1: Why Move Things Around Lesson 2: Definition of Translation and Three Basic Properties Lesson 3: Translating Lines Lesson 4: Definition of Reflection and Basic
3-O Transformations and Congruence
8.G.1 8.G.2 8.G.3
Study Island Common Core Grade 8 Object Transformations Khan Academy – Congruent triangles 1 Congruent triangles 2
Shifting and reflecting functions Properties Lesson 5: Definition of Rotations and Basic Properties Lesson 6: Rotations of 180 Degrees Lesson 7: Sequencing Translations Lesson 8: Sequencing Reflections and Translations Lesson 9: Sequencing Rotations Lesson 10: Sequences of Rigid Motions
3-P Composition of Transformations
8.G.1 8.G.2 8.G.3 8.G.4
Study Island Common Core Grade 8 Object Transformations Khan Academy – Similar triangles
