Grade 8 Math Lessons
The eighth grade year in 19 lessons, from Rational and Irrational Numbers to Two-Way Tables and Relative Frequency, each one with its Key facts and a closing set of questions and answers.
- 68 US Letter pages
- 19 chapters
- 86 lesson sections
- PDF to print
- Cards accepted without a PayPal account
- Instant download, up to 3 devices
About this book
Eighth grade gets students ready for Algebra 1 and Geometry. The lessons cover rational and irrational numbers, integer exponents, slope and similar triangles, linear equations and systems, and functions as models.
Every chapter opens with the skills it builds; in Linear Functions as Models, for instance: understand rate of change and initial value, build a function from data, describe a graph in words. A Key facts box sums up what to remember. Most of the 86 lesson sections of the book are written as questions a student would ask, such as How do you build a function from data?
For an eighth grader preparing for high school math, a parent, or a tutor. Pair it with the Grade 8 Math Worksheets with Answers to practice each chapter right after reading it.
Detailed contents
The 19 chapters of the Grade 8 lesson book, the sections of each lesson and the page where each chapter starts.
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1
Rational and Irrational Numbers
- What is a rational number?
- How do you turn a repeating decimal into a fraction?
- x = 7/9
- How do you estimate an irrational number?
- Which numbers are irrational?
- How do you compare and order real numbers?
- Rational irrational lesson: questions and answers
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2
Properties of Integer Exponents
- What is an exponent?
- Why does the product rule add exponents?
- Why is a zero or negative exponent defined that way?
- How do you simplify an expression with exponents?
- Integer exponents lesson: questions and answers
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3
Square Roots and Cube Roots
- What are square roots and cube roots?
- Which squares and cubes should you know?
- How do you solve x squared equals p?
- What if the number is not a perfect square?
- Square cube roots lesson: questions and answers
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4
Scientific Notation
- What is scientific notation?
- How do you convert to and from scientific notation?
- How do you compare very large and very small numbers?
- How do you calculate with scientific notation?
- Scientific notation lesson: questions and answers
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5
Proportional Relationships and Slope
- What is a proportional relationship?
- How does the graph show the unit rate?
- What is slope?
- How do you compare two proportional relationships?
- Grade 8 proportional relationships lesson: questions and answers
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6
Slope and Similar Triangles
- Why is the slope the same between any two points on a line?
- How do you read slope and intercept from an equation?
- How do you write the equation of a line?
- Slope similar triangles lesson: questions and answers
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7
Solving Linear Equations in One Variable
- What is a linear equation in one variable?
- How do you solve a multi-step equation?
- What do the three outcomes look like?
- Grade 8 linear equations lesson: questions and answers
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8
Systems of Linear Equations
- What is a system of linear equations?
- How many solutions can a system have?
- How do you solve by substitution?
- How do you solve by elimination?
- Systems of equations lesson: questions and answers
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9
Understanding Functions
- What is a function?
- How can you tell if a relation is a function?
- How do you tell linear functions from nonlinear ones?
- How do you compare two functions?
- Grade 8 functions lesson: questions and answers
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10
Linear Functions as Models
- What are rate of change and initial value?
- How do you build a function from data?
- How do you describe a graph in words?
- Linear function models lesson: questions and answers
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11
Translations, Reflections and Rotations
- What is a rigid transformation?
- How do you translate a figure?
- How do you reflect and rotate?
- What does congruent mean?
- Rigid transformations lesson: questions and answers
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12
Dilations and Similar Figures
- What is a dilation?
- What are similar figures?
- How do you use similar figures to find a missing length?
- Dilations similarity lesson: questions and answers
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13
Angles in Triangles and Parallel Lines
- What is the angle sum of a triangle?
- What happens when a transversal crosses parallel lines?
- How do angles show that triangles are similar?
- Grade 8 angle relationships lesson: questions and answers
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14
The Pythagorean Theorem
- What is the Pythagorean theorem?
- How do you find a missing side?
- How do you use the theorem in real problems?
- Pythagorean theorem lesson: questions and answers
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15
Distance on the Coordinate Plane
- How do you find the distance between two points?
- What about horizontal and vertical segments?
- How do you find the perimeter of a figure?
- Distance coordinate plane lesson: questions and answers
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16
Volume of Cylinders, Cones and Spheres
- What are the volume formulas?
- How do you find a volume?
- How do you work backwards?
- Volume cylinders cones spheres lesson: questions and answers
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17
Scatter Plots and Association
- What is a scatter plot?
- How do you describe association?
- How do you fit a straight line?
- Grade 8 scatter plots lesson: questions and answers
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18
Using Linear Models to Predict
- How do you interpret a linear model?
- How do you build the equation from the graph?
- How do you use the model to predict?
- Linear model data lesson: questions and answers
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19
Two-Way Tables and Relative Frequency
- What is a two-way table?
- How do you find relative frequencies?
- What is association in a two-way table?
- Two way tables lesson: questions and answers
Sample pages
Three pages from the Grade 8 Math Lessons, exactly as you will print them. Click to enlarge.
How to use this lesson book
Read one chapter at a time
The 19 chapters follow the order of the eighth grade year; at about 3 pages each, a chapter is one short sitting.
Copy the key facts
Write the Key facts of Angles in Triangles and Parallel Lines on an index card: a ready-made summary for the night before a quiz.
Try the closing questions
Cover the answers at the end of Scatter Plots and Association and answer first: the best way to check understanding.
Frequently asked questions
What is in the Grade 8 lesson book?
68 US Letter pages and 19 chapters, one lesson per chapter, with 86 lesson sections in all. The full contents are listed above on this page.
Does the Grade 8 lesson book include exercises?
Each chapter ends with a short set of questions and answers. For full practice, the Grade 8 Math Worksheets with Answers follows the same 19 chapters.
Do I need the Grade 8 Math Worksheets with Answers along with the lesson book?
No, the Grade 8 Math Lessons stands on its own. But both books follow the same 19 chapters of Grade 8; together they make a complete year, lesson then practice.
How do I receive the Grade 8 Math Lessons?
Right after paying with PayPal or a card, you reach your download page, where the Grade 8 Math Lessons is waiting. An email with the link is sent too.
Can I print the Grade 8 lesson book and open it on several devices?
Yes: the 68-page PDF of the Grade 8 Math Lessons prints as often as you need and opens on three devices (computer, tablet, phone). It carries your name at the bottom of the pages.
More answers on the shop page, or through our contact form.