 Syllabus

CCGPS Mathematics:

· Use the four operations with whole numbers to solve problems.

· Gain familiarity with factors and multiples.

· Generate and analyze patterns.

· Generalize place value understanding for multi-digit whole numbers.

· Use place value understanding and properties of operations to perform multi-digit arithmetic.

· Extend understanding of fraction equivalence and ordering.

· Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

· Understand decimal notation for fractions, and compare decimal fractions.

· Solve problems involving measurement & conversion of measurements from a larger unit to a smaller unit.

· Represent and interpret data.

· Geometric measurement: understand concepts of angle and measure angles.

· Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Operations and Algebraic Thinking

• Write and interpret numerical expressions.
• Analyze patterns and relationships.

Number and Operations in Base Ten

• Understand the place value system.
• Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations—Fractions

• Use equivalent fractions as a strategy to add and subtract fractions.
• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Measurement and Data

• Convert like measurement units within a given measurement system.
• Represent and interpret data.
• Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometry

• Graph points on the coordinate plane to solve real-world and mathematical problems.
• Classify two-dimensional figures into categories based on their properties.

Mathematical Practices

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.