Saturday, November 23, 2024

Fourth Grade Math Boot Camp: 10-Day Intensive Program

Fourth Grade Math Boot Camp: 10-Day Intensive Program

Daily Schedule Structure

Each day follows this general pattern with different content focus:

8:00-8:30 AM: Number Sense Warm-Up

- Subitizing practice with dot cards (0-20)

- Number talks using rekenrek/counting frames

- Quick mental math strategies

- Academic vocabulary focus: 3 targeted math terms daily

8:30-9:45 AM: Operation Block 1

- Mini-lesson (15 minutes)

- Guided practice with manipulatives (30 minutes)

- Independent/partner practice (30 minutes)

9:45-10:00 AM: Movement Math Break

- Number line hopscotch

- Skip counting movement games

- Math fact relay races

10:00-11:15 AM: Operation Block 2

- Different operation focus from Block 1

- Same structure: mini-lesson, guided practice, independent work

- Incorporation of word problems with explicit vocabulary instruction

11:15 AM-12:00 PM: Math Games & Centers

- Rotating stations with targeted skill practice

- Small group intervention with teacher

- Peer tutoring opportunities

12:00-12:45 PM: Lunch & Math Fact Practice

12:45-2:00 PM: Problem-Solving Block

- Word problem strategies

- Multi-step problems

- Real-world applications

2:00-2:45 PM: Math Fluency Games & Review

- Fact fluency games

- Daily skill review

- Exit tickets

Detailed Day 1 Plan

Morning Number Sense (8:00-8:30)

**Materials Needed:**

- Dot cards (0-20)

- Rekenrek for each student

- Place value charts

**Activities:**

1. Subitizing Warm-Up (10 min)

- Flash dot cards for 2 seconds

- Students write number seen

- Discuss strategies for quick recognition

- Focus on grouping patterns

2. Number Talk (15 min)

- Using rekenrek to show numbers 1-20

- Students explain their thinking

- Introduce vocabulary: compose, decompose, addend

- Practice breaking numbers into parts

3. Quick Check (5 min)

- Show different representations of numbers

- Students match representations to numerals

Operation Block 1: Addition (8:30-9:45)

**Focus:** Place Value and Addition Strategies

**Mini-Lesson (15 min):**

- Model decomposing two-digit numbers

- Use place value blocks to show regrouping

- Vocabulary focus: sum, regrouping, place value

**Guided Practice (30 min):**

1. Base-10 block addition

2. Partner work with place value charts

3. Verbal explanations using academic vocabulary

**Independent Practice (30 min):**

- Differentiated worksheet packets

- Self-checking addition cards

- Tech station with targeted practice

Movement Break (9:45-10:00)

- Number line jump: Adding by 10s

- Place value freeze dance

- Addition war with playing cards

Operation Block 2: Multiplication (10:00-11:15)

**Focus:** Arrays and repeated addition

**Mini-Lesson (15 min):**

- Build arrays with counters

- Draw area models

- Connect to repeated addition

**Guided Practice (30 min):**

1. Create arrays with grid paper

2. Write multiplication stories

3. Match multiplication expressions to arrays

**Independent Practice (30 min):**

- Array task cards

- Multiplication war

- Pattern block multiplication

 Math Centers (11:15-12:00)

**Station 1: Fact Fluency**

- Multiplication flash cards

- Fact family triangles

- Digital fact practice

**Station 2: Word Problems**

- Addition/multiplication scenarios

- Vocabulary support cards

- Drawing tools for modeling

**Station 3: Teacher Group**

- Targeted intervention

- Assessment check-ins

- Strategy reinforcement

Afternoon Problem-Solving (12:45-2:00)

**Focus:** Single-step word problems

**Direct Instruction (20 min):**

- CUBES strategy introduction

- Circle numbers

- Underline question

- Box math action words

- Evaluate what to do

- Solve and check

**Guided Practice (30 min):**

- Whole class problem-solving

- Think-alouds

- Strategy modeling

**Partner Work (25 min):**

- Solve problems together

- Share strategies

- Peer explanation

Closing Games (2:00-2:45)

1. Around the World with fact families

2. Number pattern bingo

3. Exit ticket: 3 problems using day's skills

Assessment Components

- Pre-assessment on Day 1

- Daily exit tickets

- Center work monitoring

- End-of-week quick checks

- Student self-reflection logs

Vocabulary Focus

**Day 1 Terms:**

- Compose/Decompose

- Addend/Sum

- Array/Multiple

- Factor/Product

Differentiation Strategies

1. Visual supports for ELL students

2. Manipulatives available at all times

3. Sentence frames for math talk

4. Modified problem sets

5. Peer tutoring opportunities

Mathematics Academic Vocabulary Glossary for AASA Test Preparation

For Grade 4 Students

Number Sense & Operations

Tier 2 Words
1. **Compare**
   - Student-friendly definition: To look at two or more numbers to find what's different or the same
   - Example: Compare 345 and 354 using place value
   - Use in context: "When you compare numbers, look at each place value starting from the left."

2. **Estimate**
   - Student-friendly definition: To make a close guess about an amount or answer
   - Example: Estimate the sum of 398 + 401
   - Use in context: "You can estimate by rounding to the nearest hundred."

3. **Represent**
   - Student-friendly definition: To show something in a different way
   - Example: Represent 24 using tally marks, numerals, or words
   - Use in context: "Represent this number using base-ten blocks."

4. **Justify**
   - Student-friendly definition: To explain your math thinking using proof
   - Example: Justify why 5 × 6 equals 6 × 5
   - Use in context: "Justify your answer using a drawing or equation."

Tier 3 Words
1. **Quotient**
   - Student-friendly definition: The answer in a division problem
   - Example: In 12 ÷ 3 = 4, the quotient is 4
   - Use in context: "Find the quotient when you divide 24 by 6."

2. **Dividend**
   - Student-friendly definition: The number being divided in a division problem
   - Example: In 20 ÷ 5 = 4, the dividend is 20
   - Use in context: "The dividend is the number we start with when dividing."

3. **Factor**
   - Student-friendly definition: A number you multiply to get another number
   - Example: Factors of 12 are 1, 2, 3, 4, 6, and 12
   - Use in context: "List all factors of 24."

Geometry & Measurement

Tier 2 Words
1. **Classify**
   - Student-friendly definition: To sort things into groups based on their features
   - Example: Classify shapes by their number of sides
   - Use in context: "Classify these quadrilaterals by their angles."

2. **Describe**
   - Student-friendly definition: To tell about something using details
   - Example: Describe the properties of a rectangle
   - Use in context: "Describe how this shape is different from that one."

3. **Investigate**
   - Student-friendly definition: To look closely at something to learn more about it
   - Example: Investigate which shapes tessellate
   - Use in context: "Investigate why these angles form a right angle."

Tier 3 Words
1. **Perpendicular**
   - Student-friendly definition: Lines that cross to form right angles (90 degrees)
   - Example: The sides of a square are perpendicular
   - Use in context: "Draw two perpendicular lines."

2. **Symmetrical**
   - Student-friendly definition: A shape that can be divided into equal matching parts
   - Example: A square has four lines of symmetry
   - Use in context: "Show how this shape is symmetrical."

Algebra & Functions

Tier 2 Words
1. **Pattern**
   - Student-friendly definition: A sequence that follows a rule
   - Example: 2, 4, 6, 8 is a pattern that adds 2
   - Use in context: "What will come next in this pattern?"

2. **Predict**
   - Student-friendly definition: To make a guess about what comes next based on information
   - Example: Predict the 10th number in the sequence
   - Use in context: "Predict what the missing number will be."

Tier 3 Words
1. **Expression**
   - Student-friendly definition: A math phrase with numbers and operations
   - Example: 3 × 4 + 2 is an expression
   - Use in context: "Write an expression to show this situation."

2. **Variable**
   - Student-friendly definition: A letter that stands for an unknown number
   - Example: In 3 + x = 7, x is the variable
   - Use in context: "Use a variable to write an equation."

Data Analysis & Probability

Tier 2 Words
1. **Collect**
   - Student-friendly definition: To gather information or data
   - Example: Collect data about favorite colors
   - Use in context: "Collect data about the weather this week."

2. **Display**
   - Student-friendly definition: To show information so others can understand it
   - Example: Display data in a bar graph
   - Use in context: "Display your results in a chart."

Tier 3 Words
1. **Frequency**
   - Student-friendly definition: How often something happens in a set of data
   - Example: The frequency of "blue" was 5 times
   - Use in context: "Record the frequency of each response."

2. **Range**
   - Student-friendly definition: The difference between the largest and smallest numbers
   - Example: In 2, 5, 8, the range is 6
   - Use in context: "Find the range of these test scores."

Problem-Solving Terms

Tier 2 Words
1. **Solve**
   - Student-friendly definition: To find an answer using math
   - Example: Solve 23 + 45
   - Use in context: "Solve this problem using any strategy."

2. **Explain**
   - Student-friendly definition: To tell how you got your answer
   - Example: Explain how you solved 7 × 8
   - Use in context: "Explain your thinking to your partner."

Tier 3 Words
1. **Reasonable**
   - Student-friendly definition: An answer that makes sense
   - Example: A reasonable answer for 498 + 3 is close to 500
   - Use in context: "Is your answer reasonable? Why?"

2. **Strategy**
   - Student-friendly definition: A plan or method to solve a problem
   - Example: Using a number line is a strategy
   - Use in context: "What strategy did you use to solve this?"

Using the Vocabulary Cards
1. Front of card: Word and student-friendly definition
2. Back of card: Example and use in context
3. Optional: Visual representation where applicable

Practice Suggestions
1. Daily vocabulary review during morning warm-up
2. Word wall with visual representations
3. Math journal entries using vocabulary words
4. Partner vocabulary quizzes
5. "Word of the Day" discussions

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