# Math

## Ratios and Proportional Relationships

### Statistics(6) and Probability(7)

Understand ratio concepts and use ratio reasoning to solve problems.

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

Multiply and divide multi-digit numbers and find common factors and multiples.

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

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.

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

Develop understanding of statistical variability.

Summarize and describe distributions.

Analyze proportional relationships and use them to solve real-world and mathematical problems.

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Use properties of operations to generate equivalent expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Draw, construct and describe geometrical figures and describe the relationships between them.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Use random sampling to draw inferences about a population.

Draw informal comparative inferences about two populations.

Investigate chance processes and develop, use, and evaluate probability models

### Statistics

Know that there are numbers that are not rational, and approximate them by rational numbers.

Work with radicals and integer exponents.

Understand the connections between proportional relationships, lines, and linear equations.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Understand and apply the Pythagorean Theorem.

Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

Investigate patterns of association in bivariate data.

More details can be found at: http://www.corestandards.org/Math/

### Mathematical Practices- practiced at every grade level

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.

Online Math Resources Applies to Math 6, Math 7, and Math 8 ClassesBig Ideas Math (BIM)Online Textbook, Tutorial, and Practice Companion Applies to Algebra ClassCollege Preparatory Math (CPM)Online Textbook, Student eTools, and Homework CompanionIf you do not have your child’s login/password:Website: http://freebooks.cpm.org/If you have your child’s login/password:Website: https://sso.cpm.org/Homework Help Site and Parent Guide with Extra PracticeWebsite: http://cpm.org/parent-support/ Applies to All Math ClassesIXL Math Practice with Detailed ExplanationsIf you do not have your child’s login/password:Website: https://www.ixl.comIf you have your child’s login/password: Other free online resources used in the past… Khan Academy Math Tutorial and PracticeWebsite: https://www.khanacademy.org/ Sumdog Math PracticeWebsite: https://www.sumdog.com/

### Math Department

Mr. Bertone, 6th Grade
Mr. Diedrich, 7th Grade
Mrs. Lalor, 8th Grade
Mrs. Marvin, 6th Grade
Ms. Strande, 7th Grade
Ms. Putz, 8th Grade