# 2nd Grade Math Curriculum — 32 Weeks

## Overview

A complete 32-week, 5-phase math curriculum for second grade. Each week covers
a focused topic with daily lessons building toward mastery. Designed for
homeschool use with hands-on practice, word problems, and visual activities.

**Structure:** 5 phases, 32 weeks, Mon–Fri lessons per week.
**Format:** 10 problems per lesson, horizontal math format.

---

## Phase 1: Number Sense & Foundations (Weeks 1–6)

Build confidence with numbers to 100. Place value, comparison, ordering, and
fluency with addition and subtraction facts within 20.

| Week | Topic | Key Skills |
|------|-------|------------|
| 1 | Counting & Number Sense to 100 | Count by 1s, 5s, 10s; number words; hundreds chart |
| 2 | Place Value (Tens & Ones) | Decomposing numbers; expanded form; base-10 blocks |
| 3 | Comparing & Ordering Numbers | <, >, = symbols; ordering sets of 3–5 numbers |
| 4 | Addition Facts to 20 | Fluency drills; number bonds; making 10 strategy |
| 5 | Subtraction Facts to 20 | Fluency drills; relationship to addition; fact families |
| 6 | Phase 1 Review & Assessment | Mixed practice; timed fact fluency; self-check quiz |

**Teaching Notes:**
- Use manipulatives (counters, base-10 blocks) for Weeks 1–3.
- Weeks 4–5: aim for 20–40 facts per minute by end of Phase 1.
- Week 6 assessment should feel low-pressure — a game or challenge format.

---

## Phase 2: Addition & Subtraction to 100 (Weeks 7–14)

Two- and three-digit operations. Regrouping strategies, mental math, and
multi-step word problems.

| Week | Topic | Key Skills |
|------|-------|------------|
| 7 | Adding within 100 (no regrouping) | Place-value alignment; mental addition of tens |
| 8 | Subtracting within 100 (no regrouping) | Place-value alignment; open number line strategy |
| 9 | Addition with Regrouping | Carrying tens; 2-digit + 2-digit |
| 10 | Subtraction with Regrouping | Borrowing; crossing out; open number line |
| 11 | Mixed 2-Digit Addition & Subtraction | Choosing operation; checking with inverse |
| 12 | Adding 3 Numbers (to 100) | Commutative property; grouping friendly numbers |
| 13 | 3-Digit Addition & Subtraction | Hundreds place; regrouping across zeros |
| 14 | Word Problems (Add/Sub to 100) | Reading comprehension; draw-a-picture; 2-step problems |

**Teaching Notes:**
- Teach the open number line alongside standard algorithms — it builds
  number sense and serves as a check.
- Week 13: introduce "borrowing across zero" slowly with manipulatives.
- Week 14: emphasize circling key words (altogether, left, difference).

---

## Phase 3: Measurement, Time & Money (Weeks 15–20)

Real-world math. Hands-on measuring, reading clocks, handling coins and bills,
and interpreting simple data.

| Week | Topic | Key Skills | Visual Elements |
|------|-------|------------|-----------------|
| 15 | Length: Inches & Centimeters | Using rulers; estimating; comparing lengths | Ruler graphics |
| 16 | Telling Time | Hour, half-hour, quarter-hour; analog & digital | Clock faces |
| 17 | Time Word Problems | AM/PM; elapsed time (to nearest 5 min); daily schedules | Timelines |
| 18 | Money: Coins & Bills | Identifying values; counting collections; making amounts | Coin/bill graphics |
| 19 | Money: Adding & Change | Adding money; making change; simple transactions | Word problems with images |
| 20 | Data: Picture & Bar Graphs | Reading graphs; creating graphs; interpreting data | Graph templates |

**Teaching Notes:**
- Phase 3 is the most visual — use actual rulers, clocks, and real coins
  whenever possible.
- Week 17: start with elapsed time in whole hours, then move to 5-minute
  increments.
- Week 20: bring in real data (class favorites, weather tracking) to make
  graphs meaningful.

---

## Phase 4: Geometry & Fractions (Weeks 21–26)

Shapes, attributes, symmetry, area/perimeter, and an introduction to
fractions as equal parts of a whole.

| Week | Topic | Key Skills | Visual Elements |
|------|-------|------------|-----------------|
| 21 | 2D Shapes & Attributes | Identifying sides, vertices, angles; polygons vs. non-polygons | Shape outlines |
| 22 | 3D Shapes | Faces, edges, vertices; nets; real-world examples | 3D shape drawings |
| 23 | Lines, Angles & Symmetry | Line segments; right angles; lines of symmetry | Grid patterns |
| 24 | Area & Perimeter | Counting square units; perimeter as distance around | Grid paper activities |
| 25 | Intro to Fractions | Equal parts; halves, thirds, fourths; fraction notation | Fraction circles/bars |
| 26 | Phase 4 Review & Assessment | Mixed geometry & fractions; shape sorting; fraction matching | Various shapes |

**Teaching Notes:**
- Use pattern blocks, tangrams, and geoboards for Weeks 21–23.
- Week 24: keep area and perimeter separate at first — don't combine until
  Week 26 review.
- Week 25: emphasize "equal parts" — unequal parts are not fractions.

---

## Phase 5: Multiplication, Division & Patterns (Weeks 27–32)

Introduction to multiplication and division as equal groups, arrays, and
repeated addition. Number patterns and a final comprehensive review.

| Week | Topic | Key Skills |
|------|-------|------------|
| 27 | Equal Groups & Arrays | Grouping objects; rows × columns; visual models |
| 28 | Repeated Addition → Multiplication | Connecting addition to × notation; writing equations |
| 29 | Multiplication Facts 0–5 | Times tables; skip counting; multiplication charts |
| 30 | Multiplication Facts 6–10 | Times tables; commutative property; memory strategies |
| 31 | Division as Equal Sharing | Fair sharing; groups of; relating division to multiplication |
| 32 | Final Review & Assessment | Comprehensive mixed review; fact fluency check; celebration |

**Teaching Notes:**
- Weeks 27–28: use grids, stickers, or counters to build arrays physically.
- Week 29–30: introduce one or two memory tricks per table (e.g., "9s fingers",
  "× by 4 is double-double"). Don't rush — fluency develops over time.
- Week 31: keep division concrete — "share 12 candies among 3 friends."
- Week 32: make it fun — a math scavenger hunt, board game, or timed challenge
  with a certificate at the end.

---

## Weekly Lesson Structure

Each week runs Monday through Friday with a consistent daily rhythm:

| Day | Focus |
|-----|-------|
| Monday | New concept introduction — guided practice with examples |
| Tuesday | Skill building — independent practice with increasing difficulty |
| Wednesday | Mixed practice — combining with previous concepts |
| Thursday | Word problems & application — real-world context |
| Friday | Review & challenge — game, puzzle, or self-check quiz |

---

## Materials & Tools

**Manipulatives (recommended):**
- Base-10 blocks or linking cubes
- Counters / buttons / beads
- Pattern blocks & tangrams
- Geoboards
- Real coins & play money
- Rulers (inch/cm)
- Toy clock or printable clock face

**Supplies:**
- Hundreds chart (laminated)
- Number line 0–100
- Grid/graph paper
- Fraction circles or bars
- Multiplication chart (blank, to fill in)

---

## Assessment Schedule

| Week | Type |
|------|------|
| 6 | Phase 1 checkpoint — fluency & number sense |
| 14 | Phase 2 checkpoint — operations to 100 |
| 20 | Phase 3 checkpoint — measurement & data |
| 26 | Phase 4 checkpoint — geometry & fractions |
| 32 | Final assessment — comprehensive review |

Each checkpoint is informal: a mix of timed facts, problem-solving, and
a "show what you know" activity. No letter grades — track progress with
mastery notes.

---

## Pacing Guidance

- **Stay flexible.** If a concept needs more time, extend it and compress
  later weeks. The curriculum is a roadmap, not a railroad.
- **Spiral back.** Briefly revisit earlier concepts during mixed-practice
  days to maintain retention.
- **Accelerate when ready.** If facts to 20 come quickly, move faster
  through Phase 1 and spend more time on multiplication.
- **Review weeks are built in** (Weeks 6, 14, 20, 26, 32) — use these to
  gauge readiness, not to teach new material.

---

## Standards Alignment (Common Core 2nd Grade)

- **2.NBT.A** — Place value (Weeks 1–3, 7–13)
- **2.NBT.B** — Addition & subtraction within 1000 (Weeks 4–14)
- **2.MD.A** — Measurement & data (Weeks 15–20)
- **2.G.A** — Geometry (Weeks 21–26)
- **2.OA.A** — Operations (addition, subtraction, multiplication, division)
  (Weeks 4–14, 27–32)