MAP 6th Grade Math

A comprehensive course designed to build foundational and advanced math skills for 6th-grade students, preparing them for the MAP assessment and real-world problem-solving.

Understanding Fractions, Decimals, and PercentsRatios and ProportionsArithmetic Operations with Integers
Expressions, Equations, and InequalitiesGeometry: Area, Surface Area, and VolumeStatistics: Mean, Median, Mode, and Range
Budgeting and Money MathMeasuring and Converting UnitsReading and Creating Graphs
Time Management and Test PacingReading Carefully and Checking Work
Understanding Fracti...Ratios and Proportio...Arithmetic Operation...Expressions, Equatio...Geometry: Area, Surf...Statistics: Mean, Me...Budgeting and Money ...Measuring and Conver...Reading and Creating...Time Management and ...Reading Carefully an...
Basic Concepts

Arithmetic Operations with Integers

Adding, Subtracting, Multiplying, and Dividing Integers

Integers are whole numbers and their opposites, like -3, 0, and 7. Knowing how to add, subtract, multiply, and divide them helps you solve many math problems.

Rules for Operations

  • Adding two positives or two negatives stays positive or negative.
  • Adding a positive and a negative: subtract their values; the sign is the one with the bigger absolute value.
  • Multiplying or dividing integers: if the signs are the same, the answer is positive; if different, it's negative.

Real-World Uses

  • Temperatures above and below zero.
  • Keeping score in games where points can be gained or lost.
  • Balancing deposits and withdrawals in a bank account.

Examples

  • If you owe $5 (−5) and get $10 (+10), your balance is \( 10 + (−5) = 5 \).

  • The temperature drops from 3°C to −2°C, a change of \( 3 − (−2) = 5 \) degrees.

In a Nutshell

Integers include positive and negative numbers, and knowing their operations is key for real-life math.

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Expressions, Equations, and Inequalities