Grade 8 Math
Scope
How can mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace?
Unit — Transformational Geometry
Essential Questions
How does a transformation impact a figure in terms of congruence and similarity?
Guiding Questions
What is a transformation, translation, rotation, reflection, and/or dilation?
What is the difference between an image and a preimage?
What is the difference between congruence and similarity?
What is the scale factor?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Geometry: NY-8.G.1, NY-8.G.1a, NY-8.G.1b, NY-8.G.1c, NY-8.G.2, NY-8.G.3, NY-8.G.4
Unit — Linear Equations and Applications
Essential Questions
How can I solve for an unknown quantity when provided known quantities?
Guiding Questions
How do you get the variable by itself?
Can there be no solution or infinitely many solutions?
What is the difference between an expression and an equation?
What relationship can be created with an exterior angle of a triangle?
What type of angles does a transversal create?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Expressions, Equations, and Inequalities: NY-8.EE.7, NY-8.EE.7a, NY-8.EE.7b
Geometry: NY-8.G.5
Unit — Relationships and Functions
Essential Questions
How can we use given data to identify a pattern that leads to an equation to help predict future or other data points?
Guiding Questions
What is a unit rate and its connection to slope?
Explain how to create a linear equation?
What can you interpret from the graph?
Define input, output, domain, range, relation and a function?
What is the y-intercept?
Interpret the rate of change?
How can we model this situation?
What is a system of equations?
What does the intersection represent?
Can you solve a system algebraically?
Can we create a system based on given situation with two unknowns?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Functions: NY-8.F.1, NY-8.F.2, NY-8.F.3, NY-8.F.4, NY-8.F.5
Expressions, Equations, and Inequalities: NY-8.EE.5, NY-8.EE.6, NY-8.EE.8, NY-8.EE.8a, NY-8.EE.8b, NY-8.EE.8c
Unit — Statistics and Probability
Essential Questions
Can we make a connection or correlation between data points to make accurate predictions?
Guiding Questions
What is a scatter plot and what can it tell us?
Do you notice a trend?
What is a two-way table?
How can we read this chart?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Statistics and Probability: NY-8.SP.1, NY-8.SP.2, NY-8.SP.3
Functions: NY-8.F.4
Statistics and Probability: Interpreting Categorical and Quantitative Data: AI-S.ID.5
Unit — Real Numbers andn the Pythagorean Theorem
Essential Questions
How can we prove that Pythagorean Theorem works for all right triangles?
Guiding Questions
What is an irrational number?
What is a square root, cube root or perfect square?
Define a Pythagorean Triple?
Besides in a given right triangles, where else can we use Pythagorean Theorem?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
The Number System: NY-8.NS.1, NY-8.NS.2
Expressions, Equations, and Inequalities: NY-8.EE.2
Geometry: NY-8.G.6, NY-8.G.7, NY-8.G.8
Unit — Exponents, Scientific Notation, and Volume
Essential Questions
Why do we use Scientific Notation?
Where in the real world does Volume exist?
Guiding Questions
What does exponent do or mean?
What is scientific notation?
What is similar and different between a cylinder, cone and sphere?
Resources
Into Math
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Expressions, Equations, and Inequalities: NY-8.EE.1, NY-8.EE.3, NY-8.EE.4
Geometry: NY-8.G.9