Course Overview
Detailed Curricululm
Number Sense, Place Value & Operations. Students build rock-solid number sense through 1,000, master addition and subtraction with deep understanding, and take their first steps into multiplication through equal groups and arrays. The last topic is the mid-year exam.
Hundreds, tens, and ones — understanding value by position. Reading, writing, and comparing 3-digit numbers. Expanded form. Skip counting by 5s, 10s, and 100s from any starting point. Number patterns. (2.NBT.A.1, 2.NBT.A.2, 2.NBT.A.3, 2.NBT.A.4)
Fluency within 20 through understanding relationships. Adding and subtracting within 100 using multiple strategies. Adding up to four 2-digit numbers. Adding and subtracting within 1,000 using place value reasoning. Singapore number bonds. (2.OA.B.2, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.9)
One- and two-step word problems: joining, separating, comparing, and finding the unknown. Singapore bar model introduction — drawing before calculating. Even and odd numbers and their patterns. Logic puzzles using addition and subtraction reasoning. (2.OA.A.1, 2.OA.C.3, 2.OA.C.4)
Multiplication as equal groups — what 3 × 4 actually means. Arrays as a visual model for multiplication. Repeated addition and its connection to multiplication. Commutativity through arrays. Skip counting as the bridge between addition and multiplication. (2.OA.C.4, 2.NBT.B.8)
A timed, written assessment covering all Session 1 topics. Students solve multi-step problems that require applying not just recalling what they’ve learned. Results help identify strengths and areas to focus on in Session 2.
Measurement, Geometry & Mathematical Thinking. Extends operations into real-world contexts, introduces measurement and data, and develops the geometric and logical thinking that defines mathematical maturity. Students leave ready for Math 3. The last topic is the final exam.
Measuring length in inches, feet, centimeters, and meters. Estimating and comparing lengths. Telling and writing time to the nearest 5 minutes. Elapsed time problems. Counting coins and bills, making change, and money word problems. Number lines as a measurement tool. (2.MD.A.1, 2.MD.A.2, 2.MD.A.3, 2.MD.A.4, 2.MD.B.5, 2.MD.C.7, 2.MD.C.8)
Picture graphs and bar graphs — reading, drawing, and interpreting. Line plots: placing data on a number line and reasoning from it. Asking and answering questions from data. Collecting real data and designing surveys. Recognizing when a graph can mislead. (2.MD.D.9, 2.MD.D.10)
Recognizing and drawing 2D shapes by their attributes. 3D shapes: faces, edges, and vertices. Partitioning rectangles and circles into halves, thirds, and fourths. Equal parts as the foundation for fractions. Spatial puzzles, tangrams, and shape decomposition challenges. (2.G.A.1, 2.G.A.2, 2.G.A.3)
Multi-step word problems combining all four operations. Number patterns: finding rules, extending sequences, and identifying what changes. Logic puzzles: Sudoku-style reasoning, balance problems, and code-breaking. Mathematical communication — explaining solutions in complete sentences. (2.OA.A.1, 2.NBT.B.9, 2.MD.B.6)
A timed, written assessment covering the full year. Students demonstrate mastery across all topics through multi-step problems and reasoning challenges. A strong finish here signals readiness for Math 3.
Instructor
