8th Grade Curriculum Map
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Grade and Class: 8th Grade Math
School Year: 2019 - 2020
___ CURRICULUM MAP
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Topic Growth Mindset 8-16 thru 8-23
I can learn, even when it’s hard!
Expressions, Equations, & Inequalities 8-26 thru 10-4
I can you use expressions, equations, and inequalities within real-world situations.
1. 2. 3. 4.
1. 2. 3.
4.
Math is about learning not performing. Math is about making sense. Math is filled with conjectures, creativity, and uncertainty. Mistakes are a beautiful thing.
Substitution is used to simplify and evaluate algebraic expressions. Properties of operations can be used to justify equivalent expressions. Real world problems that can be represented as linear equations will yield one, infinite many, or no solution. Independent and dependent variables can be identified in the world around us.
How does mindset affect learning mathematics?
1. 2. 3. 4.
5. 6.
In what situations would substitution be a valuable tool? Why would you need to write an expression in a different form? How can expressions relate and compare to one another? How can linear equations be used to reason and model real world situations? In what ways can you analyze the solution of an equation? When would one want to compare rather than get an exact answer?
PA.A.3.1 PA.A.3.2 PA.A.4.1 PA.A.4.2 PA.A.4.3
Chapter 1: Equations 1.1 Algebraic Expressions 1.2 Adding and Subtracting Linear Expressions 1.3 Solving Simple Equations 1.4 Solving Multi-Step Equations 1.5 Solving Equations with Variables on Both Sides 1.6 Rewriting Equations and Formulas Chapter 2: Inequalities 2.1 Writing and Graphing Inequalities 2.2 Solving Inequalities Using Multiplication or Division 2.3 Solving Inequalities Using Multiplication or Division 2.4 Solving Two-Step Inequalities
Expression Variable Integers Opposite Absolute Value Distributive Property Commutative Prop of Add Constant Coefficient Inequality Number Line Rational Numbers
Pretest Quiz Tests
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Topic Linear Equations & Functions
10-7 thru 11-22
I can we use graphs and other representations to gain knowledge of real-world situations.
Pythagorean Theorem 12-2 thru 12-13
I can use the Pythagorean Theorem in real-world situations
1. 2. 3. 4.
1.
2.
A function is a relationship between an independent and dependent variable. Rate of change describes how one quantity changes in respect to another. Multiple representations can be used to express and analyze linear relationships. Functions can be identified as linear if they can be expressed in slope intercept or graphed in a straight line.
1.
Pythagorean Theorem utilizes the special relationship between the three sides of a right triangle. Pythagorean Theorem can be used to find the distance between two points on a coordinate plane.
1.
2. 3. 4. 5.
2.
How can we identify relationships in the world around us? What does the rate of change communicate? How can you represent linear relationships? How can you identify a situation as linear or nonlinear? In what real world situations would you use scatterplots, and why?
What is the special relationship between the sides of a right triangle? In what situations does the Pythagorean Theorem prove beneficial? Why?
PA.A.1.1 PA.A.1.2 PA.A.1.3 PA.A.2.1 PA.A.2.2 PA.A.2.3 PA.A.2.4 PA.A.2.5
PA.GM.1.1 PA.GM.1.2 PA.N.1.4 PA.N.1.5
Chapter 3: Graphing and Writing Linear Equations 3.1 Graphing Linear Equations 3.2 Slope of a Line 3.2 Ext. Slopes of Parallel and Perpendicular Lines 3.3 Graphing Proportional Relationships 3.4 Graphing Linear Equations in Slope-Intercept Form 3.5 Graphing Linear Equations in Standard Form 3.6 Writing Equations in SlopeIntercept Form 3.7 Writing Equations in Point-Slope Form Chapter 4: Functions 4.3Ext Comparing Graphs of Linear Functions Chapter 5: Real Numbers and the Pythagorean Theorem 5.1 Finding square roots 5.2 The Pythagorean Theorem 5.3 Approximating Square Roots 5.4 Using the Pythagorean Theorem
Evaluate Expression Order of Operations Substitute Coordinates Algebraic Expression Opposite
Greater Than Less Than Order of Operations
Pretest Quiz Test Project
Pretest Quiz Test
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
PA.N.1.1 PA.N.1.2 PA.N.1.3
Chapter 9: Exponents and Scientific Notation 9.1 Exponents 9.2 Product of Power Property 9.3 Quotient of Powers Property 9.4 Zero and Negative Exponents 9.5 Reading Scientific Notation 9.6 Writing Scientific Notation 9.7 Multiplying and Dividing Numbers in Scientific Notation
Order of Operations Expression Evaluating an Expression Exponent Decimal Dividend Product Quotient
Pretest Quiz Test
PA.GM.2.1 PA.GM.2.2 PA.GM.2.3 PA.GM.2.4
Chapter 6: Surface Area and Volume 6.1 Surface Areas of Rectangular Prism 6.2 Surface Area of Cylinders 6.3 Volume of Rectangular Prisms 6.4 Volume of Cylinders
Area Square Units Base of a Triangle Height of a Triangle
Pretest Quiz Test Project
Chapter 7: Data Analysis and Displays 7.1 Scatter Plots 7.2 Lines of Fit 7.3 Measures of Center
Coordinate Plane Quadrant Ordered Pair Slope-Intercept Form
Pretest Quiz Test
Topic Exponents I know how exponents can be used to solve real-world situations.
1.
2.
1-6 thru 1-24
1. Surface Area & Volume 1-27 thru 2-7
I know how two dimensional and three dimensional objects related to each other in real-world situations.
2.
2-10 thru 2-21
I know how data points affect mean and median in realworld situations.
1.
Surface area and volume can be calculated for a rectangular prism. Surface area and volume can be calculated for a cylinder.
1.
2. 3.
2.
3.
1. Central Tendency
Equivalent numerical and algebraic expressions can be generated by applying the properties of integer exponents. Scientific notation creates a realistic way to utilize really small or really large numbers.
2. 3.
The mean and median of a data set is impacted by inserting or deleting data points. Outliers can have an affect on measures of central tendency. Data can be displayed and interpreted using scatterplots.
1. 2.
When is it advantageous to simplify expressions? What patterns do you notice when using exponents? What is the relationship of using base ten when writing very large or very small numbers? How can formulas be used to better understand measurements of 3D objects? What relationships exist between 3D figures, nets, surface area, and volume? How are two dimensional and three dimensional objects related to each other? What effects can changing data points have? What influences the shape of the data?
PA.D.1.1 PA.D.1.2 PA.D.1.3
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Chapter 8: Probability and Statistics 8.1 Experimental Probability 8.2 Independent and Dependent Events 8.3 Samples and Populations
Fraction Simplest Form Ratio
Topic Probability 2-24 thru 3-6
I can use graphs and other representations to gain knowledge of real-world situations.
1.
2. 3.
Experimental probability can be calculated and the result can be expressed in multiple ways. Experimental probability can be used to make predictions. Samples are used to generalize a population.
1.
2. 3.
4.
How can probabilities be determined when actual probabilities are not known? How can predictions be made on unknown probabilities? How can you determine if the representation of a data population is fair? How are conclusions about a data set drawn using sampling?
PA.D.2.1 PA.D.2.2 PA.D.2.3
Pretest Quiz Test
School Year: 2019 - 2020
___ CURRICULUM MAP
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Topic Growth Mindset 8-16 thru 8-23
I can learn, even when it’s hard!
Expressions, Equations, & Inequalities 8-26 thru 10-4
I can you use expressions, equations, and inequalities within real-world situations.
1. 2. 3. 4.
1. 2. 3.
4.
Math is about learning not performing. Math is about making sense. Math is filled with conjectures, creativity, and uncertainty. Mistakes are a beautiful thing.
Substitution is used to simplify and evaluate algebraic expressions. Properties of operations can be used to justify equivalent expressions. Real world problems that can be represented as linear equations will yield one, infinite many, or no solution. Independent and dependent variables can be identified in the world around us.
How does mindset affect learning mathematics?
1. 2. 3. 4.
5. 6.
In what situations would substitution be a valuable tool? Why would you need to write an expression in a different form? How can expressions relate and compare to one another? How can linear equations be used to reason and model real world situations? In what ways can you analyze the solution of an equation? When would one want to compare rather than get an exact answer?
PA.A.3.1 PA.A.3.2 PA.A.4.1 PA.A.4.2 PA.A.4.3
Chapter 1: Equations 1.1 Algebraic Expressions 1.2 Adding and Subtracting Linear Expressions 1.3 Solving Simple Equations 1.4 Solving Multi-Step Equations 1.5 Solving Equations with Variables on Both Sides 1.6 Rewriting Equations and Formulas Chapter 2: Inequalities 2.1 Writing and Graphing Inequalities 2.2 Solving Inequalities Using Multiplication or Division 2.3 Solving Inequalities Using Multiplication or Division 2.4 Solving Two-Step Inequalities
Expression Variable Integers Opposite Absolute Value Distributive Property Commutative Prop of Add Constant Coefficient Inequality Number Line Rational Numbers
Pretest Quiz Tests
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Topic Linear Equations & Functions
10-7 thru 11-22
I can we use graphs and other representations to gain knowledge of real-world situations.
Pythagorean Theorem 12-2 thru 12-13
I can use the Pythagorean Theorem in real-world situations
1. 2. 3. 4.
1.
2.
A function is a relationship between an independent and dependent variable. Rate of change describes how one quantity changes in respect to another. Multiple representations can be used to express and analyze linear relationships. Functions can be identified as linear if they can be expressed in slope intercept or graphed in a straight line.
1.
Pythagorean Theorem utilizes the special relationship between the three sides of a right triangle. Pythagorean Theorem can be used to find the distance between two points on a coordinate plane.
1.
2. 3. 4. 5.
2.
How can we identify relationships in the world around us? What does the rate of change communicate? How can you represent linear relationships? How can you identify a situation as linear or nonlinear? In what real world situations would you use scatterplots, and why?
What is the special relationship between the sides of a right triangle? In what situations does the Pythagorean Theorem prove beneficial? Why?
PA.A.1.1 PA.A.1.2 PA.A.1.3 PA.A.2.1 PA.A.2.2 PA.A.2.3 PA.A.2.4 PA.A.2.5
PA.GM.1.1 PA.GM.1.2 PA.N.1.4 PA.N.1.5
Chapter 3: Graphing and Writing Linear Equations 3.1 Graphing Linear Equations 3.2 Slope of a Line 3.2 Ext. Slopes of Parallel and Perpendicular Lines 3.3 Graphing Proportional Relationships 3.4 Graphing Linear Equations in Slope-Intercept Form 3.5 Graphing Linear Equations in Standard Form 3.6 Writing Equations in SlopeIntercept Form 3.7 Writing Equations in Point-Slope Form Chapter 4: Functions 4.3Ext Comparing Graphs of Linear Functions Chapter 5: Real Numbers and the Pythagorean Theorem 5.1 Finding square roots 5.2 The Pythagorean Theorem 5.3 Approximating Square Roots 5.4 Using the Pythagorean Theorem
Evaluate Expression Order of Operations Substitute Coordinates Algebraic Expression Opposite
Greater Than Less Than Order of Operations
Pretest Quiz Test Project
Pretest Quiz Test
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
PA.N.1.1 PA.N.1.2 PA.N.1.3
Chapter 9: Exponents and Scientific Notation 9.1 Exponents 9.2 Product of Power Property 9.3 Quotient of Powers Property 9.4 Zero and Negative Exponents 9.5 Reading Scientific Notation 9.6 Writing Scientific Notation 9.7 Multiplying and Dividing Numbers in Scientific Notation
Order of Operations Expression Evaluating an Expression Exponent Decimal Dividend Product Quotient
Pretest Quiz Test
PA.GM.2.1 PA.GM.2.2 PA.GM.2.3 PA.GM.2.4
Chapter 6: Surface Area and Volume 6.1 Surface Areas of Rectangular Prism 6.2 Surface Area of Cylinders 6.3 Volume of Rectangular Prisms 6.4 Volume of Cylinders
Area Square Units Base of a Triangle Height of a Triangle
Pretest Quiz Test Project
Chapter 7: Data Analysis and Displays 7.1 Scatter Plots 7.2 Lines of Fit 7.3 Measures of Center
Coordinate Plane Quadrant Ordered Pair Slope-Intercept Form
Pretest Quiz Test
Topic Exponents I know how exponents can be used to solve real-world situations.
1.
2.
1-6 thru 1-24
1. Surface Area & Volume 1-27 thru 2-7
I know how two dimensional and three dimensional objects related to each other in real-world situations.
2.
2-10 thru 2-21
I know how data points affect mean and median in realworld situations.
1.
Surface area and volume can be calculated for a rectangular prism. Surface area and volume can be calculated for a cylinder.
1.
2. 3.
2.
3.
1. Central Tendency
Equivalent numerical and algebraic expressions can be generated by applying the properties of integer exponents. Scientific notation creates a realistic way to utilize really small or really large numbers.
2. 3.
The mean and median of a data set is impacted by inserting or deleting data points. Outliers can have an affect on measures of central tendency. Data can be displayed and interpreted using scatterplots.
1. 2.
When is it advantageous to simplify expressions? What patterns do you notice when using exponents? What is the relationship of using base ten when writing very large or very small numbers? How can formulas be used to better understand measurements of 3D objects? What relationships exist between 3D figures, nets, surface area, and volume? How are two dimensional and three dimensional objects related to each other? What effects can changing data points have? What influences the shape of the data?
PA.D.1.1 PA.D.1.2 PA.D.1.3
Dates
Unit/Content
Big Ideas
Essential Questions
Standards
Chapter and Lessons
Vocabulary
Assessment
(by weeks) These dates are estimates only and include a cushion at the end of the year
What topics will be taught and learned? What is the essential vocabulary for the unit? What do students need to know?
What do students have to be able to do related to the content?
What are the fundamental, enduring questions that will guide study and instruction?
What benchmarks will be achieved through this topic?
Location in Big Ideas Text Book to find the lessons that are being learned. Classwork may be from book or from other resources.
New terminology learned in the content.
What evidence (products and/or performances/ will be collected to establish that the Content and Skills have been learned?
Chapter 8: Probability and Statistics 8.1 Experimental Probability 8.2 Independent and Dependent Events 8.3 Samples and Populations
Fraction Simplest Form Ratio
Topic Probability 2-24 thru 3-6
I can use graphs and other representations to gain knowledge of real-world situations.
1.
2. 3.
Experimental probability can be calculated and the result can be expressed in multiple ways. Experimental probability can be used to make predictions. Samples are used to generalize a population.
1.
2. 3.
4.
How can probabilities be determined when actual probabilities are not known? How can predictions be made on unknown probabilities? How can you determine if the representation of a data population is fair? How are conclusions about a data set drawn using sampling?
PA.D.2.1 PA.D.2.2 PA.D.2.3
Pretest Quiz Test
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