PEMDAS & Number Sense

• Apply parentheses, exponents, multiplication, division, addition, and subtraction in the correct order.
• Read an expression before calculating so the operation structure is clear.

Practice: Solve a mixed PEMDAS set, then annotate the first operation and final check for each problem.

• Add, subtract, multiply, and divide positive and negative numbers.
• Use number lines and sign reasoning to catch arithmetic errors.

Practice: Explain three integer-operation mistakes and rewrite each solution with a sign check.

• Convert between fractions, decimals, and percents with meaning.
• Compare rational numbers using benchmarks and equivalent forms.

Practice: Build a conversion table from a school-data context and defend which representation is easiest to use.

• Use ratio tables, unit rates, and double number lines.
• Identify proportional and non-proportional relationships.

Practice: Model one rate problem with a table, equation, and sentence explaining the unit rate.