Building Blocks of 5th Grade Math equips students with essential quantitative reasoning skills, focusing on operations, decimals, fractions, and percentages. Students will develop a strong number sense and be able to confidently solve real-world math problems and apply them to everyday situations.

Order of Operations

• Understand the standard order of operations — PEMDAS/BODMAS
• Solve multi-step expressions involving parentheses, exponents, multiplication, division, addition, and subtraction
• Apply order of operations to solve real-world mathematical problems.

Decimal Operations

• Compare and order decimals to the hundredths place
• Add, subtract, multiply, and divide decimals using various strategies — including visual models and standard algorithms
• Solve word problems involving decimal operations in practical contexts like money and measurement

Fraction Fundamentals

• Review fraction concepts — including equivalent fractions, simplifying fractions, and comparing fractions
• Add and subtract fractions with unlike denominators — finding common denominators efficiently
• Multiply and divide fractions — including mixed numbers

Fractions, Decimals, and Percentages

• Convert between fractions, decimals, and percentages fluidly
• Apply fraction and percentage conversions to real-world scenarios — such as calculating discounts or tips
• Solve percentage problems — finding the percentage of a number, the part, or the whole

Problem Solving Strategies

• Apply different problem solving strategies — bar models, looking for a pattern, working backwards
• Interpret word problems and translate them into mathematical expressions
• Check the reasonableness of answers

Mathematical Communication

• Explain mathematical reasoning clearly and concisely
• Use appropriate mathematical vocabulary
• Justify solutions and strategies

Engaging with Math

• Develop a growth mindset — learn from mistakes, ask questions, and persevere
• Connect math to personal interests and real-world situations
• Collaborate with peers to solve problems and share ideas