District 11 Division of Operations & Instruction
Mathematics

Grade 7, April - May Unit (@ 35 days)

Overview                                                                              
During quarter 4, 7th graders will be investigating 8th grade standards.  Students will be able to find the slope of a ramp or road and show why it is important to know how steep a hill should be.  Students will also be able to buy the exact amount of paint to paint the outside of a building. Pay close attention to the Essential Questions. You may be asked to answer the questions at the end of this unit.

Standards

Enduring Understandings

  • Algebra is a language.   

  • Variable relationships influence each other 

  • There are linear and nonlinear functions. 

  • Geometry builds our world.   

  • Formulas are used in the real world.

  • Dimensional change affects geometry.

  • Order is important.

Essential Questions - most important “big picture” questions students should be able to answer after completing learning activities.

  • What are the different ways to represent a function?

  • How would you predict and describe how the change in one quantity affects another?

  • What is the difference between linear and nonlinear functions?

  • What methods would you use in solving equations?

  • How would you solve problems involving perimeter, surface area and volume?

  • How would you decide which procedure and formula to use to solve area problems?

  • How does dimensional change affect the attributes of a polygon?

  • How is the order of operations like the rules of a game involving integers?

Standards: Highest Frequency High Frequency Other Standards and E-Skills

Standard 2:  (Algebra) Students use algebraic methods to explore, model and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
2.1b Convert from a table to a graph to a rule
2.3a Identify, apply, and extend linear patterns in tables
2.4a Distinguish between linear and non-linear functions
2.5a Solve simple linear equations with integers

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.        
4.5a Solve problems involving surface area and volume of right prisms and cylinders

Standard 5: (Measurement) Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning involved in solving these problems.
5.5a Compare measurements of figures before and after dimensional change

Standard 6:   (Computation) Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning involved in solving these problems. 
6.2a Apply order of operations with integers

Lessons

Lesson 1: Lesson 1 Title
Duration: @ 1 class period

Standard information #: 
District Indicator:
 
Enduring Understanding:
 
Essential Questions:
 
Assessment:
 

Activities:

Resources:

Differentiation:
Extension: 
Support: