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MATHS_G_18-23, level 7

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Transcript

Lesson 18

Independent Task

Lesson 18

Multi-Step Challenge

Lesson 19

Independent Task

Lesson 20

Sanctuary Expansion

Lesson 19

Complex Challenge

Lesson 20

Independent Task

Lesson 23

Individual Reflections

Lesson 21

Kalahari Resource Sharing

Lesson 22

Kalahari Mathematics Assessment

Lesson 21

Independent Task

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 18

Maths: MIXED OPERATIONS PRACTICE

Lesson goals

  • I can choose the right operation to solve multi-step problems

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)
Warm-Up

Yellow

Blue

Green

Key Terms
Operation
Reasonableness
Strategy
Explicit Instruction:

Problem: A tree nursery plants 24 rows with 18 seedlings per row. These will be distributed equally among 6 conservation sites. How many seedlings per site?

What's the total number of seedlings?

Step 1: That's multiplication!
24 x 18 = 432
There are 432 seedlings in total.
Explicit Instruction:

Problem: A tree nursery plants 24 rows with 18 seedlings per row. These will be distributed equally among 6 conservation sites. How many seedlings per site?

We need to distribute among 6 sites.

Step 2: That's division!
432 ÷ 6 = 72

Does is 72 per site seem reasonable?

There are 72 seedlings per site
Group Task: Multi-Step Challenge
Lesson 18

Multi-Step Challenge

Independent Task
Lesson 18

Independent Task

Reflection Time

Today, we learned:

  • How to choose the right operation.
Next lesson, we will learn:
  • advanced word problems.

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 19

Maths: ADVANCED WORD PROBLEMS Complex Problem-Solving

Lesson goals

  • I can solve problems involving addition, subtraction, multiplication and division.

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)
Warm-Up

Yellow

Blue

Green

Key Terms
Complex
Unknown
Sequence
Solution Path
Given Information
Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted.

Questions: 1. How many healthy seedlings can be planted? 2. How many per restoration area?

Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted. Questions: How many healthy seedlings can be planted? How many per restoration area?

How many seedlings per box?

Step 1: That's multiplication!
8 x 25 = 200
There are 200 seedlings per box
Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted. Questions: How many healthy seedlings can be planted? How many per restoration area?

How many seedlings ordered?

Step 2: That's multiplication!
12 x 200 = 2,400
There are 2,400 seedlings ordered.
Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted. Questions: How many healthy seedlings can be planted? How many per restoration area?

We need to take away the damaged seedlings?

Step 3: That's subtraction!
2,400 - 80 = 2,320
There are 2,320 healthy seedlings.
Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted. Questions: How many healthy seedlings can be planted? How many per restoration area?

How many per restoration area?

Step 4: That's division!
2,320 ÷ 6 = 386 R4
There are 386 per area and 4 seedlings left over.
Explicit Instruction:

Context: A conservation project ordered seedlings in boxes. Each box contains 8 trays, and each tray contains 25 seedlings. They ordered 12 boxes. All seedlings will be planted in 6 different restoration areas. Due to planning, 80 seedlings were damaged and cannot be planted.

Questions: 1. How many healthy seedlings can be planted? 2,320 healthy seedlings total 2. How many per restoration area? 386 per area (4 left over)

Group Task: Complex Challenge
Lesson 19

Complex Challenge

Independent Task
Lesson 19

Independent Task

Reflection Time

Today, we learned:

  • Handle multi-step problems
Next lesson, we will learn:
  • advanced word problems.

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 20

Maths: KALAHARI RESOURCE PLANNING ADVENTURE

Lesson goals

  • I can apply what I have learned about remainders and operations so far in a real life scenario.

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)
Warm-Up

Green

Blue

Yellow

The Ultimate Challenge

You are the lead coordinator for a major Kalahari conservation initiative. You must plan resources, manage budgets, coordinate multiple sites, and solve unexpected challenges. Each decision requires careful calculation!

Complex Scenario:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

Questions: 1. How many trees planted total? 2. How many trees per zone? 3. What's the total transportation cost?

Explicit Instruction:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

Questions: 1. How many trees planted total? 2. How many trees per zone? 3. What's the total transportation cost?

Trees per day?

Step 1: That's multiplication!
8 x 35 = 280
There are 280 trees per day
Explicit Instruction:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

Total number of trees?

Questions: 1. How many trees planted total? 2. How many trees per zone? 3. What's the total transportation cost?

Step 2: That's multiplication!
280 x 12 = 3,360
There are 3,360 trees
Explicit Instruction:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

How many trees per zone?

Questions: 1. How many trees planted total? 2. How many trees per zone? 3. What's the total transportation cost?

Step 3: That's division!
3,360 ÷ 15 = 224
There are 224 trees per zone
Explicit Instruction:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

Total transport cost?

Questions: 1. How many trees planted total? 2. How many trees per zone? 3. What's the total transportation cost?

Step 3: That's multiplication!
15 x 28 = 420
There are 420 BWP
Complex Scenario:

Context: A tree-planting project has 8 teams. Each team can plant 35 trees per day. The project runs for 12 days. All trees must be distributed equally among 15 different planting zones. Transportation costs 28 BWP per zone.

Questions: 1. How many trees planted total? 3,360 trees total 2. How many trees per zone? 224 per zone 3. What's the total transportation cost? 420 BWP

Conservation Challenge Sanctuary expansion

A wildlife sanctuary expansion project has the following details: - 24 new enclosures will be built - Each enclosure needs 16 fence posts - Fence posts come in bundles of 18 - Each bundle costs 145 BWP - The project also needs water systems: 8 tanks per enclosure - Water tanks cost 234 BWP each - Total budget: 95,000 BWP Tasks: • How many fence posts needed total? • How many bundles needed? (Interpret remainder!) • What's the fence post cost? • What's the water tank cost? • What's the total cost? • Is the project within budget? By how much over/under? Extension: If 5% of the remaining budget goes to maintenance, how much is that?

Lesson 20

Sanctuary Expansion

Conservation Planning Present your plan!
Independent Task
Lesson 20

Independent Task

Week 4 Complete!

Outstanding work this week! You solved complex, multi-step real-world problems Next week: New challenges ahead!

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 21

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)

Maths: FRACTIONS FOUNDATIONS REVIEW

Lesson goals

  • I can divide quantities into equal parts and explain how remainders show parts of a whole.

Warm-Up

Yellow

Blue

Green

Key Terms
Equal Parts
Part
Whole
Remainder as Fraction
Share Equally
Explicit Instruction:

Let's share equally.

Problem 1: Simple Equal Sharing A conservation team has 12 energy bars to share equally among 4 rangers.

12 ÷ 4 = 3
Each ranger gets 3 bars All 12 bars used, nothing left over
Explicit Instruction:

Let's share equally.

Problem 2: Sharing the RemainderA team has 14 energy bars to share equally among 4 rangers.

14 ÷ 4 = 3 R2
Traditional answer: 3 each, 2 left over

3 whole bars + 2 quarters = 3½ bars

Explicit Instruction:

Let's use division

The whole = 20 beds

Problem 3: Visualizing Parts of WholesA garden has 20 plant beds. One-quarter (¼) are growing vegetables.

To find ¼, we divide by 4
20 ÷ 4 = 5
So ¼ of 20 = 5 beds
Group Task: Kalahari Resource Sharing
Lesson 21

Kalahari Resource Sharing

Independent Task
Lesson 21

Independent Task

Reflection Time

Today, we learned:

  • Equal parts
Next lesson, we will learn:
  • Big assessment - you'll show everything you've learned!

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 22

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)

Maths: Assessment

Lesson goals

  • I can show what I have learned about rounding, subtraction, multiplication, division and problem-solving.

ASSESSMENT MINDSET
• Read each question carefully • Show ALL your working • If you get stuck, skip and come back • Check your answers if you have time • Remember: mistakes help us learn
Assessment Instructions:
You will have 35 minutes and show all your working clearly.
Assessment Covers: ✓ Rounding to nearest 100 and 1,000 (Week 1) ✓ Columnar subtraction with 4-digit numbers (Week 1) ✓ Division (short and long) (Week 2) ✓ Multiplication (2-digit × 2-digit) (Week 3) ✓ Division with remainders (Week 3-4) ✓ Interpreting remainders (Week 4) ✓ Multi-step problem solving (Week 4)
Independent Task
Lesson 22

Kalahari Mathematics Assessment

Assessment Submission
What Happens Next: • I'll review your work carefully • You'll get feedback • Tomorrow: celebration! • Focus on your growth, not just the score
Post-Assessment Reflection Time

Think About: • Which section felt easiest? • Which section was most challenging? • What are you proud of completing? • What have you improved at most?

Our pre-class checklist:

Are you sitting at a desk in a well lit room?

Are you in a quiet room?

Do you have your bina materials?

Are you saving food for after class?

Did you arrive a few minutes early?

Are we ready and focused?

Lesson 23

Materials:
  • Writing surface (Paper or whiteboard preferred)
  • Greylead pencil or pen
  • Colouring tools (crayons/markers/colour pencils)

Maths: Kalahari Celebration

Lesson goals

  • I can celebrate growth and reflect on learning.

Welcome to celebration day!
OUR LEARNING JOURNEY
Week 2: Short Division • We learned the bus stop method! • You divided with remainders!
Week 1: Rounding and Subtraction • Remember learning to round to nearest 1,000? • Now you can subtract 4-digit numbers with regrouping!
Week 4: Unknown Numbers • You learned to find missing values! • You wrote equations from word problems!
Week 3: Long Division • We mastered Divide, Multiply, Subtract, Bring down! • You handled 4-digit numbers!
Week 5: Assessment You showed everything you learned and now we are celebrating!
Growth Reflections
Lesson 23

Individual Reflections

CELEBRATION GAMES!
Kalahari Division Dash: Your teacher will read out a maths challenge. Team up in your breakout room. Race to solve it — talk it through and agree fast! Show your answer first to score the point! 🏆
Lesson 23

Kalahari Division Dash

MYSTERY NUMBER CHALLENGE:
Use the clues to work out the mystery number.

Mystery Number 3

Mystery Number 1

Mystery Number 2

RAPID FIRE REVIEW
Answer the questions as quickly as possible.

1. Round 4,567 to the nearest 100. 2. What’s 3,000 − 1,234? 3. 25 × 4 = ? 4. 144 ÷ 12 = ? 5. 57 ÷ 8 = ? (with remainder) 6. If you need boxes of 6 for 50 items, how many boxes are needed? 7. What’s bigger: 3,456 or 3,546? 8. 16 × 12 = ? 9. What’s half of 240? 10. How many weeks did we work together?

What's Next in Mathematics?

Preview of Future Learning: • We'll build on division skills • Learn about fractions and decimals • Explore more complex problem-solving • Continue using math in real-world contexts

Awards and Recognition

Congratulations! You are now a Level 7 Kalahari Mathematics Explorer.

Complex

Problem with multiple parts/steps

Strategy

Your plan for solving the problem

Sequence

The order in which to do steps

Solution Path

Facts we're provided

Operation

Mathematical action (+, -, ×, ÷)Requires more than one calculation

Reasonableness

Checking that yout answer makes sense.

Unknown

What we're trying to find out

Given Information

Facts we're provided

Equal Parts

Pieces that are exactly the same size

Whole

The complete item (like 1 whole pizza)

Remainder as fraction

The leftover can be divided too!

Part

A piece of the whole

Share Equally

Divide so everyone gets the same amount

Mystery Number 2:

• I'm a 2-digit number • When rounded to nearest 10, I become 90 • When you divide me by 7, the remainder is 1 • I'm greater than 85 • What number am I?

Mystery Number 3:

I'm a 4-digit number • Rounded to nearest 1,000, I'm 5,000 • All my digits are different • My hundreds digit is 3 • I'm greater than 5,200 What number am I?

Mystery Number 1:

• I'm between 100 and 200 • When you divide me by 5, there's no remainder • I have a 5 in the tens place • I'm less than 160 • What number am I?