8th Grade - Unit 1 - Moving Straight Ahead (23 days) (7th grade book)
Things to Emphasize:
  • Unit rate
  • Proportional vs. Non-proportional
  • Functions represented in 4 different ways (words, tables, symbols, and graphs)
  • Solving equations
/ Standards:
8.EE.5(b) - Interpret the slope of a graph as the unit rate.
8.EE.6(a) - Determine slope between any two distinct point on a graph.
8.EE.6(b) - Interpret the equation y=mx+b from a graph.
8.EE.7(a) - Solve linear equations without using distributive properties.
8.EE.7(b) - Solve linear equations by expanding expressions using distributive properties.
8.EE.8(a) - Solve systems of linear equations by a graph using real world problems.
8.F.1 - Determine the output (input) by knowing the function and input (output).
8.F.2 - Compare functions represented in an different way(equation, graph, table, and/or context).
8.F.3 – Interpret the equation y=mx+b as defining a linear function, whose graph gives a straight line; give examples of functions that are not linear.
8.F.4(a) - Determine the rate of change and initial value from a table, graph, and equation.
8.F.4(b) - Interpret the rate of change and initial value into the context of the situation.
Materials/Technology:
  • Frayer Model (WTSG)
  • Meter sticks
  • Stopwatch
  • Grid paper
/ Additional Resources:
  • DPI Lessons for Learning – Perplexing Puzzle
  • DPI Lessons for Learning – Bow Wow Barkley
  • DPI Lessons for Learning – Sandy’s Candy Corporation

Quick Glance:
Inv 1 (all): Walking Rates
Inv 2 (all): Exploring Linear Relationships
Inv 3 (all but 3.1): Solving Equations
Inv 4 (all but 4.4): Exploring Slope / Vocabulary:
  • Coefficient
  • Equality
  • Linear function
  • Linear relationship
  • Proportional relationship
  • Slope
  • Solution
  • Unit Rate
  • Variables (independent/dependent)
  • Y-intercept
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 2 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 2 Unit Projects
  • 1 School Net Assessment - Named: 8th Grade – Moving Straight Ahead
/ Important Notes:
  • Do NOT go past what it does in the book, do not need too much detail here, these concepts will come back around in other units to reinforce and build on concepts
  • Hold off until later until for no and infinite solutions when solving equations

8th Grade - Unit 2–Thinking With Mathematical Models (23 days)
Things to Emphasize:
  • Trend lines
  • Scatterplots
  • Positive vs. negative slope
  • Linear vs. non-linear data set
  • Relative frequency
/ Standards:
8.EE.5(a) – Compare different proportional relationships in different ways (graphs, equations…)
8.EE.5(b) - Interpret the slope of a graph as the unit rate.
8.EE.6(a) - Determine slope between any two distinct point on a graph.
8.EE.6(b) - Interpret the equation y=mx+b from a graph.
8.EE.7(a) - Solve linear equations without using distributive properties.
8.EE.8(a) - Solve systems of linear equations by a graph using real world problems.
8.F.2 - Compare functions represented in an different way(equation, graph, table, and/or context).
8.F.3 - Determine which functions are linear and non-linear and give examples.
8.F.4(a) - Determine the rate of change and initial value from a table, graph, and equation.
8.F.4(b) - Interpret the rate of change and initial value into the context of the situation.
8.F.5 - Analyze a graph and describe where it is increasing, decreasing, constant, linear, and nonlinear.
8.SP.1 – Construct to interpret a scatterplot by describe patterns such as clusters, outliers, pos. / neg. assoc., linear, and non-linear.
8.SP.2 - Create a line of best fit (linear model) on a scatterplot and assess its closeness.
8.SP.3 – Create and use a linear equation from a scatterplot to solve problems.
8.SP.4(a) - Construct data on two way relative frequency tables.
8.SP.4(b) - Interpret and describe data on two way relative frequency tables.
Materials/Technology:
  • Paper bridges, paper cups, pennies, flat toothpicks
/ Additional Resources:
  • DPI - Lessons for Learning – The Case of the Vase
  • DPI - Lessons for Learning – Sandy’s Candy Corporation
  • DPI - Lessons for Learning – Bow Wow Barkley

Quick Glance:
Inv 1 (all): Exploring Data Patterns
Inv 2 (all): Linear Models and Equations
Supplement: Analyzing Graphs
Inv 4 (all but 4.4): Variability and Associations in Numerical Data
Inv 5 (all): Variability and Associations in Categorical Data / Vocabulary:
  • Categorical variable
  • Function
  • Line of best fit
  • Linear
  • Mathematical model
  • Outliers
  • Scatterplot
  • Slope
  • Two-way frequency
  • Unit rate
  • Y-intercept
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 2 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Self-Assessment
  • 1 School Net Assessment - Named: 8th Grade – Thinking With Mathematical Models
/ Important Notes:
  • Analyzing graphs can be done in a variety of ways, writing stores from graphs, draw a graph from a story, etc. (can refer back to 6th Grade “Variables and Patterns” Unit and find lots of practice in the first Investigation and ACE ?’s

8th Grade - Unit 3–Looking for Pythagoras (25 days)
Things to Emphasize:
  • Irrational vs. Rational Numbers
  • Pythagorean Theorem
  • Square Root
  • Perfect Squares vs. Non-perfect Squares
/ Standards:
8.NS.1(a) Determine which numbers are rational or irrational.
8.NS.1(b) Represent rational numbers in different ways (decimals and fractions).
8.NS.2 - Estimate irrational numbers value and locate them on a number line.
8.EE.1 – Know and apply properties of integer exponents to generate equivalent numerical expressions.
8.EE.2(a) - Evaluate square root and identify which is a perfect square or irrational number.
8.EE.2(b) - Evaluate cube root symbols to determine which is a perfect cube or irrational number.
8.G.6 - Explain a proof of the Pythagorean Theorem.
8.G.7 - Apply the Pythagorean Theorem to determine unknown side lengths in real world situations.
8.G.8 - Apply the Pythagorean Theorem to find a distance on a coordinate system.
Materials/Technology: / Additional Resources:
  • What's Your Angle Pythagoras by Julie Ellis
  • DPI - Lessons for Learning – Real Number Race
  • DPI - Lessons for Learning – The Laundry Problems
  • The Pythagorean Relationship by AIMS
  • Discovering the Pythagorean Theorem
  • Proof of the Pythagorean Theorem

Quick Glance:
Inv 1 (1.3): Coordinate Grids
Inv 2 (2.2, 2.4): Squaring Off
Supplement: Discovering the Pythagorean Theorem
Inv 4 (all): Understating the Pythagorean Theorem: understanding Real Numbers
Supplement: More Practice with Pythagorean Theorem / Vocabulary:
  • Diagonal
  • Hypotenuse
  • Irrational number
  • Legs
  • Perfect cubes
  • Perfect squares
  • Pythagorean Theorem
  • Radical
  • Rational number
  • Real numbers
  • Repeating decimal
  • Root
  • Terminating decimal
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 1 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Unit Project
  • 1 Self-Assessment
  • 1 School Net Assessment - Named: 8th Grade – Looking for Pythagoras
/ Important Notes:
8th Grade - Unit 4–Growing, Growing, Growing (15 days)
Things to Emphasize:
  • Properties of Exponents
  • Scientific Notation
  • Non-linear Example
/ Standards:
8.EE.1 – Know and apply the properties of integer exponents to generate equivalent numerical expressions.
8.EE.3 – Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
8.EE.4 – Perform operations with numbers expressed in scientific notation.
8.F.1 – Understand that a function is rule that assigns to each input exactly one output.
8.F.3 – Inteprety the equation y=mx+b as defining a linear functions, whose graphs is a straight line; give examples of functions that are not linear.
Materials/Technology: / Additional Resources:
  • DPI - Lessons for Learning – Nonlinear Functions

Quick Glance:
Inv 1 (1.1 and LfL): Exponential Growth
Inv 5 (5.1, 5.2, supplement, 5.4): Patterns With Exponents / Vocabulary:
  • Base
  • Exponent
  • Exponential form
  • Non-linear
  • Power
  • Scientific notation
  • Standard form
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 1 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Unit Project
  • 1 Self-Assessment
  • 1 School Net Assessment - Named: 8th Grade – Growing, Growing, Growing
/ Important Notes:
  • The focus on this unit is not for students to learn about exponential functions; students need to know what makes something non-linear, properties of exponents, and scientific notation

8th Grade - Unit 5 – Butterflies, Pinwheels, and Wallpaper (24 days)
Things to Emphasize:
  • Dilations
  • Transformations (rotation, reflection, translation)
  • Angle Measures
  • Similarity
  • Congruence
/ Standards:
8.G.1 - Rotate, reflect, and translate geometric shapes and their parts.
8.G.2 - Identify congruent figures and describe a sequence of rotations, reflections, and translations.
8.G.3 - Describe the effects of dilations, translations, rotations, and reflections.
8.G.4 - Identify similar figures and describe a sequence of dilations, rotations, reflections, and translations.
8.G.5(a) - Calculate angle measures of two dimensional shapes.
8.G.5(b)- Explain similarity of triangles based on angle measures.
Materials/Technology:
  • Patty Paper ( an get at deli in grocery store)
/ Additional Resources:
  • Transformations Using Patty Paper

Quick Glance:
Inv 1 (all): Symmetry and Transformations
Inv 2 (2.1, 2.2): Transformations and Congruence
Inv 3 (3.1-3.3): Transforming Coordinates
Inv 4 (all): Dilations and Similar Figures / Vocabulary:
  • Angle
  • Congruence
  • Coordinate plane/grid
  • Dilation
  • Polygon
  • Reflection
  • Rotation
  • Scale factor
  • Similarity
  • Symmetry
  • Transformation
  • Translation
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 2 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Unit Project
  • 1 School Net Assessment - Named: 8th Grade – Butterflies, Pinwheels, and Wallpaper
/ Important Notes:
  • Can skip Inv 1 if time is tight, just introduce transformations in some way
  • Animation and video games can be a great place to be in real life component to reference throughout unit

8th Grade - Unit 6–Say It With Symbols (23 days)
Things to Emphasize:
  • Distributive property
  • Factoring
  • Solving multi-step equations
  • Volume of 3D shapes
/ Standards:
8.EE.7(a) - Solve linear equations without using distributive properties.
8.EE.7(b) - Solve linear equations by expanding expressions using distributive properties.
8.F.1 - Determine the output (input) by knowing the function and input (output).
8.F.2 - Compare functions represented in an different way(equation, graph, table, and/or context).
8.F.3– Determine which functions are linear and non-linear and give examples.
8.F.4(a) - Determine the rate of change and initial value from a table, graph, and equation.
8.F.4(b) - Interpret the rate of change and initial value into the context of the situation.
8.G.9 - Apply the formulas for volume for a cone, cylinder, and sphere to solve real world problems.
Materials/Technology: / Additional Resources:
  • DPI - Lessons for Learning – Gift Box Dilemma
  • DPI - Lessons for Learning – Meltdown
  • DPI - Lessons for Learning – Perplexing Puzzle
  • Pull from 7th grade Filling and Wrapping for Volume if needed

Quick Glance:
Inv 1 (all but 1.3): Making Sense of Symbols: Equivalent Expressions
Inv 2 (all): Combining Expressions
Inv 3 (3.1, 3.2, practice): Solving Equations
Inv 4 (4.1, 4.2): Looking Back at Functions / Vocabulary:
  • Cone
  • Cylinder
  • Distributive property
  • Equivalent expressions
  • Expanded form
  • Expression
  • Factored form
  • Properties of equality
  • Sphere
  • Volume
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 2 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Unit Project
  • 1 Self-Assessment
  • 1 School Net Assessment - Named: 8th Grade – Say It With Symbols
/ Important Notes:
8th Grade - Unit 7–It’s In The System (13 days)
Things to Emphasize:
  • System of Equations
  • Equivalency
  • What it means to solve a system of equations
/ Standards:
8.EE.8(a) - Solve systems of linear equations by a graph using real world problems.
8.EE.8(b) - Solve systems of linear equations algebraically using real world problems.
Materials/Technology: / Additional Resources:
  • DPI - Lessons for Learning – Cookie Calorie Conundrum

Quick Glance:
Inv 1 (all): Linear Equations With Two Variables
Supplement: Solving Linear Systems Symbolically / Vocabulary:
  • Combination method
  • Expense
  • Income
  • Linear
  • Point of intersection
  • Profit
  • Solve the system
  • Standard form
  • Substitution method
  • System of equations
/ Evidence of Learning:
  • Unit Readiness Assessment
  • 2 Check Ups
  • 1 Partner Quiz
  • 1 Unit Test
  • 1 Self-Assessment
  • 1 School Net Assessment - Named: 8th Grade – It’s In The System
/ Important Notes:
  • Make sure to review linear function with the rule, table, and graph before diving deep into this unit
  • Include no solutions and infinite solutions