Grade 7 Math
Scope
How can mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace?
Unit — Proportional Relationships
Essential Questions
How can we use proportions and rate of change to help predict the future?
Guiding Questions
What is a unit rate?
What is the constant?
What does the point on the graph represent?
How does drawing to scale help us?
Is this a percent increase or decrease?
What would k represent for a sale of n%?
What does the commission and base salary represent?
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-7.RP1, NY-7.RP2, NY-7.RP2a, NY-7.RP2b, NY-7.RP2c, NY-7.RP2d, NY-7.RP3
Geometry: NY-7.G1
Expressions, Equations, and Inequalities: NY-7.EE.2
Unit — Rational Number Operations
Essential Questions
How can you use what you have previously learned to help?
Guiding Questions
On the number line, where are the larger numbers?
When adding integers, how do I know if my answer is positive or negative?
How do I move on a number line when subtracting integers?
What is the sign of the answer when multiplying integers?
What is a good estimate for the answer?
What do I do first when solving?
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-7.NS.1, NY-7.NS.1a, NY-7.NS.1b, NY-7.NS.1c, NY-7.NS.1d, NY-7.NS.2a, NY-7.NS.2b, NY-7.NS.2c, NY-7.NS.2d, NY-7.NS.3
Ratios and Proportional Relationships: NY-7.RP3
Expressions, Equations, and Inequalities: NY-7.EE.3
Unit — Model with Expressions, Equations, and Inequalities
Essential Questions
How are equivalent expressions helpful when connecting to the real world?
Guiding Questions
What is the variable in the problem?
What are “like'' terms?
What expression represents this situation?
Which inequality should I use?
What happens to the inequality when you divide by a negative value?
What does the inequality represent?
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-7.EE.1, NY-7.EE.2, NY-7.EE.3, NY-7.EE.4, NY-7.EE.4a, NY-7.EE.4b
Geometry: NY-7.G.5
Unit — Geometry
Essential Questions
Where is geometry located in the real world and how is our knowledge of it helpful?
Guiding Questions
What does a parallelogram look like?
Can this be a triangle based on the information?
What does Pi represent in formulas for Area and Circumference?
What is a cross section?
What is a prism?
What is surface area?
How do 2D shapes help us find volume in 3d figures?
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-7.G.2, NY-7.G.3, NY-7.G.4, NY-7.G.6
Expressions, Equations, and Inequalities: NY-7.EE.3
Unit — Sampling and Data Analysis
Essential Questions
How can we compare and contrast two sets of data?
Guiding Questions
What does random mean?
How can I use a sample to predict a population?
Can two different samples from the same population provide different results?
What data does a box plot provide?
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.7.SP1, NY.7.SP3, NY.7.SP4
Unit — Probability
Essential Questions
What can probability tell us and how can we use it for future events?
Guiding Questions
How does probability look as a fraction, decimal and percent?
How does this small experiment relate to the probability of the event?
What is the probability of the event NOT happening?
Which situation has a greater probability of success?
What is the probability of selecting a particular outfit from your closet?
Spin the spinner ten times and see if the small sample matches the probability? Why or why not.
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.7.SP4, NY.7.SP8, NY.7.SP8b, NY.7.SP8c
Ratios and Proportional Relationships: NY-7.RP3
Expressions, Equations, and Inequalities: NY-7.EE.3