This course builds fourth-grade mathematical fluency and reasoning across five core strands: place value, multi-digit arithmetic, fractions, measurement, and geometry. Sessions progress from concrete, visual models toward abstract computation and problem-solving, with consistent review woven in so earlier skills stay sharp as new ones are introduced.

Course Strands & Progression

1. Place Value & Number Sense

• Read, write, and compare multi-digit whole numbers (up to 1,000,000)
• Understand place value relationships (a digit in one place represents 10 times what it represents in the place to its right)
• Round multi-digit numbers to any place

2. Multi-Digit Operations

• Fluently add and subtract multi-digit whole numbers using the standard algorithm
• Multiply a number by up to a 4-digit number by a 1-digit number, and two 2-digit numbers
• Divide up to 4-digit dividends by 1-digit divisors, including interpreting remainders
• Solve multi-step word problems using the four operations

3. Fractions

• Extend understanding of fraction equivalence and ordering
• Add and subtract fractions with like denominators, including mixed numbers
• Multiply a fraction by a whole number
• Understand decimal notation for fractions and compare decimals to hundredths

4. Measurement & Data

• Convert measurements within a single system (e.g., km to m, hours to minutes)
• Solve problems involving distance, time, liquid volume, mass, and money
• Apply area and perimeter formulas to solve real-world problems
• Represent and interpret data, including line plots with fractional units
• Understand and measure angles in degrees

5. Geometry

• Identify and classify lines, angles, and shapes based on properties
• Recognize lines of symmetry
• Classify two-dimensional figures based on angle and side properties