Grade 6 Math
Scope
How can mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace?
Unit — Number Systems and Operations
Essential Questions
How can you use what you have previously learned to help?
Guiding Questions
What is an integer?
What is the definition of absolute value?
What is a rational number?
What is the GCF and LCM?
How do you add, subtract, multiply, and divide fractions?
How do you add, subtract, multiply, and divide decimals?
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-6.NS.1, NY-6.NS.2, NY-6.NS.3, NY-6.NS.4, NY-6.NS.5, NY-6.NS.6, NY-6.NS.6a, NY-6.NS.6c, NY-6.NS.7, NY-6.NS.7a, NY-6.NS.7b, NY-6.NS.7c, NY-6.NS.7d
Unit — Ratio and Rates
Essential Questions
What does the ratio mean and how does it relate to the larger population?
Guiding Questions
What is a ratio?
What is the definition of a percentage or percent?
What is the percent of a given number?
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.
Ratios and Proportional Relationships: NY-6.RP.1, NY-6.RP.2, NY-6.RP.3, NY-6.RP.3a, NY-6.RP.3b, NY-6.RP.3c, NY-6.RP.3d
Unit — Expressions, Equations, and Inequalities
Essential Questions
How does one value impact another?
Guiding Questions
What expression models the situation and what does the variable represent?
What equation models the situation and what does the answer tell us?
Which inequality should we use?
How can we use the data to predict the future?
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-6.EE.1, NY-6.EE.2, NY-6.EE.2a, NY-6.EE.2b, NY-6.EE.2c, NY-6.EE.3, NY-6.EE.4, NY-6.EE.5, NY-6.EE.6, NY-6.EE.7, NY-6.EE.8, NY-6.EE.9
Unit — Relationships in Geometry
Essential Questions
Can you compare and contrast two dimensional objects with three dimensional objects?
Guiding Questions
Where is the point on the coordinate plane?
What is the area,surface area and volume of the shape?
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-6.NS.6, NY-6.NS.6b, NY-6.NS.6c, NY-6.NS.8
Geometry: NY-6.G.1, NY-6.G.2, NY-6.G.3, NY-6.G.4
Expressions, Equations, and Inequalities: NY-6.EE.2c
Unit — Data Collection and Analysis
Essential Questions
Explain what the data is telling us and what factor could alter our findings?
Guiding Questions
How can you organize the data?
When would median be a better appropriate measure of center than mean?
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-6.SP.2, NY-6.SP.3, NY-6.SP.4, NY-6.SP.5, NY-6.SP.5a, NY-6.SP.5b, NY-6.SP.5c, NY-6.SP.5d