ISEE Middle Level Quantitative Reasoning

A course designed to strengthen middle school students' quantitative reasoning skills, focusing on problem-solving and mathematical thinking for the ISEE exam.

Number Sense and OperationsAlgebraic Thinking and PatternsData Analysis and Probability
Ratios, Proportions, and PercentsGeometry and Spatial ReasoningWord Problems and Logical Reasoning
Using Math in Daily LifeMath in Science and TechnologySmart Shopping and Money Math
Time Management for Test DayMultiple Choice Test Tactics
Number Sense and Ope...Algebraic Thinking a...Data Analysis and Pr...Ratios, Proportions,...Geometry and Spatial...Word Problems and Lo...Using Math in Daily ...Math in Science and ...Smart Shopping and M...Time Management for ...Multiple Choice Test...
Basic Concepts

Algebraic Thinking and Patterns

Spotting Patterns

Patterns are everywhere—on your clothes, in music, and in math! Recognizing patterns helps you predict what comes next and solve problems faster.

Introduction to Variables

Variables are just letters that stand for unknown numbers. In algebra, you'll use them to write and solve equations.

Expressions and Equations

Learn how to read, write, and solve simple equations like \( x + 3 = 7 \). You'll also find out how to create patterns using rules.

Key Skills

  • Identifying numerical and visual patterns
  • Writing simple algebraic expressions
  • Solving equations with one variable

Why Does This Matter?

Algebraic thinking helps you solve puzzles and real-life problems by finding the rules behind the numbers.

Examples

  • If the pattern is 2, 4, 6, 8, what comes next?

  • Solve for \( x \) if \( x + 5 = 9 \).

In a Nutshell

Teaches how to use patterns, variables, and equations to solve problems.

Key Terms

Variable
A symbol (like x or y) that represents an unknown number.
Equation
A mathematical statement that two expressions are equal.
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Data Analysis and Probability