District 11 Division of Operations & Instruction
Mathematics


Grade 6: April - May Unit  (@ 35 days)

Overview 
View the Video Introduction on dividing fractions. During quarter 4, 6th graders will be investigating 7th grade standards.  Students will learn how and why we multiply and divide fractions and decimals in the real world.  Students will also investigate why March 14th is Pi day and why Pi is important in the real world. View the video showing The Importance of Pi. Pay close attention to the Essential Questions. You may be asked to answer the questions at the end of this unit.

Standards

Enduring Understanding

  • Numbers can be represented, ordered, and communicated in many different forms. Order is important.

  • Geometry builds our world. Geometry is used to solve problems.

  • Proportional reasoning solves real world problems.

  • Computation, reasoning, and estimation are vital mathematical tools. Computation skills are vital mathematical tools.

  • There are different ways of estimating. Computation, reasoning, and estimation are vital mathematical tools.

  • Computational strategies are connected to algebraic thinking.

Essential Questions

  • What are different representations of equivalent numbers?

  • Which math model can best be used to represent integers?

  • What models are used to represent numbers?

  • Why do we need to represent order and/or communicate numbers?

  • When should you use a number line?

  • How do you decide which mathematical strategy to use when comparing similar shapes?

  • How would you solve problems involving circumference?

  • How would you solve problems involving area?

  • What are the limits of mathematical representations and modeling?

  • How is the order of operations similar to following the rules of a game?

  • How do you decide what strategies to use to solve a problem?

  • How do you decide if the "correct" answer is an appropriate solution?

  • How do you decide which technique to use when estimating?

  • How do you decide the essential elements of a problem?

  • How do you determine which mathematical skills you need to solve problems?

  • How do you match an algebraic representation to an appropriate word problem?

  • How do you justify the reasonableness of a solution?

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

Standard 1:   (Number Sense) Students develop number sense and use numbers and number relationships in problem solving situations and communicate the reasoning in solving these problems.
Use models to represent integers
Read, write, order and compare integers
Locate integers on a number line

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.         
Apply proportional reasoning 
Use similar figures to demonstrate proportions
Use a variety of methods to find circumference

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. 
Add, subtract, multiply and divide integers.
Multiply and divide fractions and decimals.

Lessons

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

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

Activities:

Resources:

Differentiation:
Extension: 
Support: