*Math Is Real Life*

Mathematics Common Core 6: A Story of Ratios**
**Ms. Paton/ jpaton5591@stjoeronkelem.org
Extra help is available during study hall, lunch, or after school by appointment.

This course will focus on many different aspects of a student’s learning experience and the ability to apply the mathematical practices. The first emphasis is on study habits, including homework, note-taking, study skills, and test taking. Mastery of basic skills in arithmetic is second. The third point of emphasis and most challenging is the ability to apply the processes and proficiencies addressed in the Mathematical Practices.

Sixth grade mathematics is about (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking.

-ratios and proportional reasoning

-early expressions and equations

Required Fluency:

6.NS.2 Multi-digit division

6.NS.3 Multi-digit decimal operations
Mathematical Practices:
**
**1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

*Learning Standards:*

Module 1: Ratios and Unit Rates

*Understand ratio concepts and use ratio reasoning to solve problems

Module 2: Arithmetic Operations Including Dividing by a Fraction

*Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

*Compute fluently with multi-digit numbers and find common factors and multiples.

Module 3: Rational Numbers

*Apply and extend previous understandings of numbers to the system of rational numbers.

Module 4: Expressions and Equations

*Apply and extend previous understandings of arithmetic to algebraic expressions.

*Reason about and solve one-variable equations and inequalities.

*Represent and analyze quantitative relationships between dependent and independent variables.

Module 5: Area, Surface Area, and Volume Problems

*Apply and extend previous understandings of arithmetic to algebraic expressions.

*Reason about and solve one-variable equations and inequalities.

*Solve real-world and mathematical problems involving area, surface area, and volume.

Module 6: Statistics

*Develop understanding of statistical variability.

*Summarize and describe distributions.

**Report Card Rating 1-5**

Resources:

Textbook Online (Big Ideas Math-Common Core 2014-Regular Pathway-Green)

XtraMath

Fractions + - x / - notes & questions

Long Division with 2 digit Divisor-video

Math Millionaire-Algebraic Expressions-game

Distribution & Combining Like Terms

Distribution & Combining Like Terms Practice

Introduction to Rates-Khan Academy

**Rates and Unit Rates**

Percentage

Proportions-Solving Using cross products

Finding Percent of a Number-multiplication

What Percent is it

Finding the total

Solving One Step Equations: Addition and Subtraction

Solving and Graphing One Step Inequalities

Graphing Inequalities on a Number line

Surface Area of a Rectangular Prism

**Run Around the Lake**

*Box and Whisker Plot-how to make*