**WHAT CHILDREN LEARN**

**WHAT CHILDREN LEARN**

In middle school, students master computation and problem solving with rational numbers (fractions, decimals, percents, exponents, roots, negative numbers), and become proficient in first year algebra (Algebra I) creating a solid mathematical foundation for Algebra II, geometry, trigonometry, and pre-calculus.

*OUR APPROACH*

*OUR APPROACH*

Students engage, one on one, in a unique combination of mental, verbal, visual, tactile, and written exercises (click here to learn more) that cover (and surpass) state math standards as well as the recommendations of the National Council of Teachers of Mathematics and the new Common Core State Standards. Basic math skills are blended with a program specifically designed to help students build number sense by showing them how numbers work.

Each student is evaluated with a written and verbal assessment unique to Mathnasium. Based on their assessment results, we assemble a tailored program just for them designed to close any educational gaps that they may have and jump ahead when they are ready for advanced math challenges. Mental math is emphasized.

We also help students with their regular school homework as part of the session, and prepare them for school tests and standardized tests such as the SAT, ACT, ISEE and high school entrance exams.

We believe your child's progress (and improved attitude) will be obvious to you, the parent. We also reassess students constantly to measure their progress and rely on third party proofs such as report cards and standardized assessments, provided by your child's school.

## MIDDLE SCHOOL PROGRAM SAMPLES

The curriculum samples shown here represent critical topics we address at each grade level. An asterisk (*) indicates program elements covered at Mathnasium that are not typically covered in most school programs.

## 6th GRADE

**Percent**

- Find 0, 10, 25, 33 1/3, 50, 66 2/3, 75, 100, 200, and 250 percent of selected numbers..
- * Find "7% of 300" for multiples and sub–multiples of 100 mentally.

**Properties of Numbers**

- Explain how the identity for multiplication ["Every number times one (1) equals itself."] is used in renaming fractions.
- Explain how the identity for division ["Every number divided by one (1) equals itself."] is used in reducing fractions.
- * Explain why division by zero (0) is not allowed

**Fractional Parts**

- Knowing that "a quarter of" and "one-fourth of" mean the same thing.
- Find half and a quarter of all whole numbers up to 100.
- Find three–quarters, one–third, and two–thirds of selected whole numbers and fractions.
- * Count by 1/2s, 1/4s, 3/4s, 1/3s, 2/3s, 1 1/2s, 2 1/2s.
- * Count by 0.1s.
- * "Half of what number is…?" for whole numbers and appropriate fractions.
- * "A quarter of what number is…?" for whole numbers and appropriate fractions
- Find "2/3 of 12" for appropriate fractions and whole numbers.

## 7th and 8th GRADE

**Fractional Parts**

- Find the part when the fractional part and whole are given./li>
- "2/3 of 24 equals what number?"

- Find the whole when the fractional part and part are given.
- "3/4 of what number equals 9?"
- Find the fractional part when the whole and part are given.
- "8 is what part of 12?"

**Proportional Thinking**

- The distance around the Earth is about 24,000 miles. At 3 inches for every 500 miles, about how many inches would it take to represent the distance around the Earth?"

**Rational Numbers**

- The meaning of rational numbers
- Comparing and ordering rational numbers
- Locating rational numbers on the number line
- Computation (addition, subtraction, multiplication, division).
- Negative exponents
- Word problems

**The Language of Algebra**

- Symbols
- Variables
- Terms and expressions
- Mathematical sentences

- Open sentences
- Equations and inequalities