Saturday, August 29, 2020

PREFIXES & SUFFIXES

STRAND: WORD RECOGNITION & VOCABULARY

FOCUS QUESTION:
What was Jamaica's road to independence?

SPECIFIC OBJECTIVE:
Use prefixes and suffixes to change word meaning.

CONTENT SUMMARY:
Affixes Visuals (Prefixes, Suffixes, & Roots) | Prefixes, Winning science  fair projects, Speech and language
50 Examples of Prefixes and Suffixes, Definition and Examples - English  Grammar HerePREFIX: 35+ Common Prefixes With Meaning And Examples | Learn english,  Prefixes, English grammar























Common Suffixes in English
SuffixMeaningExample
-mentcondition ofargument, endorsement, punishment
-nessstate of beingheaviness, sadness, rudeness, testiness
-shipposition heldfellowship, ownership, kinship, internship
-sion, -tionstate of beingconcession, transition, abbreviation




























ENGAGE

Students I want you to examine the chart below and let's have a discussion on what it is depicting.
Are you familiar with the word affix? What is an affix? Do you know what prefixes and suffixes are?

Root Words and Affixes I can use root words, prefixes and suffixes -  Liberal Dictionary





EXPLORE
Now can you find a partner and let's do this activity below.
Affixes Worksheet And Roots Worksheets Word Origins 5th Grade Prefixes  Suffixes Root Word Origins Worksheets 5th Grade Worksheets problem solving  for kids 4th grade time worksheets grade 1 and 2 math worksheets

Now students did you notice anything about the new words formed. Let's go through them individually.

You would have noticed that the prefixes and suffixes changed/altered the meanings of the words.

EXPLAIN

Can you now differentiate between a prefix and a suffix?
How many words can you get when you combine prefixes and suffixes to the root words below?
Root words worksheet preview | Root words, Prefixes and suffixes, Word  building

EXTEND/ELABORATE
Root Words | Unscramble the Prefixes and Suffixes

Now I want you to search as many text as you can  and the internet to find the meaning of some of the prefixes and suffixes. If you read through the content of this lesson you will be able to see some. See how many more you can find.
EVALUATION

Complete the activities below.
Prefixes and Suffixes - Enchanted Learning
Attach prefixes to form the opposite of the words below. 
Antonyms Review - English ESL Worksheets for distance learning and physical  classrooms

Friday, August 28, 2020

NUMBERS/EXPANDED FORM

FOCUS QUESTION:

How do I write numbers in the different number system?


SPECIFIC OBJECTIVE:

Read, write and use numbers, using the principle of place value, in the Hindu-Arabic system of numeration.

CONTENT SUMMARY:



We can also write decimals using standard notation.

For example, if our number were 236.82, expanded form and notation would look like this:

200 + 30 + 6 + 0.8 + 0.02 = 236.82

(2 x 100) + (3 x 10) + (6 x 1) + (8 x 1/10) + (2 x 1/100) = 236.82


ENGAGE

Students, what do you recall about place value from the lesson we looked at last?
You will recall that we are able to find the value of a number by multiplying the face by the place.
Let's think of the number below: See how we are able to easily determine the value of each digit.

4 5 7
4= 4 x 100 = 400
5= 5 x 10 = 50
7= 7 x 1 = 7

Value = 400+50+7 = 457

Well what you have been doing is actually called EXPANDED FORM.


EXPLORE

Watch this video to learn more about the EXPANDED FORM.

Basically when we write in the expanded form  we are actually composing and decomposing numbers. 

Now can you quickly write the following in expanded form.
5,879,543
687
2,678

EXPLAIN

Now tell me what the expanded form is.

Give examples of the expanded form.


EXTEND/ELABORATE

Now let's try to write these decimals in expanded forms.

2567.794
4.65
987.651

Find a partner to complete the following.
Reading and Writing Numbers in Expanded Form, Standard Form and Written Form  - (Including a Personal Word Wall) - The Teacher Treasury

EVALUATION







1.      1. Write standard numerals for the following:

(a)    40,000 +  9000 + 200 + 60 + 7 =            (b) 1,000,000 + 600 + 40 + 2 =

2.       2. Write the following whole numbers in expanded form:

(a)    5,768,965                     (b)  786, 944           (c)  32,564, 345

3.       3. Write the highest and smallest number from the following: [78946]

4.       4. What is the highest number that can be formed from  81942, using 9 in the tens place and 4 in the thousands place?

      5. What number is represented on the chart below?

          









     (A) 2815.17    (B) 2725.17    (C) 2626.17   (D) 2617.17

110 Best Math learning center images in 2020 | Math, Math learning center,  Teaching math


Follow Up Practice Exercise


Lesson Plan Overview

  • Grade: 6

  • Duration: 1 hour

  • Theme: Numbers – Expanded and Standard Form

  • Focus Question: How do I write numbers in the different number system?

  • Subtopic: Writing numbers in expanded and standard form

  • Numeration System: Hindu-Arabic

  • Objective:
    Students will:

    • Read, write, and use numbers, using the principle of place value in the Hindu-Arabic system of numeration.

    • Convert between expanded form and standard form.

    • Explain how place value determines the value of each digit.

  • Materials Needed:

    • Digit cards (0–9)

    • Place value charts/ mats

    • Base ten blocks (real or virtual)

    • Whiteboards/markers

    • Printable worksheets, teachers' blogsite

    • Devices (optional – for STEM tools)

    • Projector, chromebooks

🧠 Engage (5–7 minutes)

Activity: "Digit Drama!"

  • Write the number 70,408 on the board.

  • Ask:

    • "Can you tell me the value of each digit?"

    • "What does the 7 represent in this number?"

  • Use questioning to spark curiosity:

    • "What happens when I move the 7 from the ten-thousands place to the hundreds place?" (Write: 400,708 vs. 708)

Purpose:

To activate prior knowledge on place value and set the stage for expanded/standard form conversion.


🔍 Explore (10–12 minutes)

Activity: "Build a Number – Place Value Flip Cards"

  • Provide students with digit cards (0–9) and place value headings: Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, Ones.

  • In pairs or small groups, have students:

    • Randomly select digits and build a 6-digit number.

    • Write the expanded form on mini whiteboards or chart paper.

    • Share with the class: e.g., 543,210 → 500,000 + 40,000 + 3,000 + 200 + 10

STEM Integration:

  • Technology Option: Use an online place value interactive tool (if available) like Didax Virtual Place Value Disks for digital modeling.

  • Engineering Connection: Ask: “How do engineers use numbers in different forms—for measuring, costing, or scaling?”


📘 Explain (10–12 minutes)

Teacher Input:

  • Define standard form and expanded form using anchor charts:

    • Standard Form: The usual way of writing numbers (e.g., 76,032)

    • Expanded Form: Breaking down the value of each digit based on place value (e.g., 70,000 + 6,000 + 0 + 30 + 2)

Guided Practice:

  • Model converting:

    1. From standard to expanded: 609,004 → 600,000 + 0 + 9,000 + 0 + 0 + 4

    2. From expanded to standard: 400,000 + 30,000 + 700 + 2 → 430,702


🧠 Elaborate (15 minutes)

Differentiated Activity: "Number Transformation Stations"

Split students into three ability-based groups (can rotate if time allows):

TierGroup NameTask
Tier 1 (Support)Place Value PalsUse base ten blocks/diagrams and teacher support to convert 3-digit and 4-digit numbers between expanded and standard form.
Tier 2 (On-level)Number NinjasConvert between 5–6 digit numbers in both directions. Use place value charts.
Tier 3 (Extension)Number ArchitectsSolve real-life word problems involving population, distance, or cost with large numbers. Convert between expanded and standard forms as part of the explanation.

Real-World/ STEM Twist:

  • Students use a mock engineering budget:
    E.g., “You are building a bridge. Your material costs $245,300. Break it into expanded form to explain how much you’re spending per material type.”


Evaluate (10 minutes)

Three-Tier Evaluation Activity:

LevelActivityExpected Outcome
Tier 1 (Basic)Students convert 3 given numbers between standard and expanded form (up to 4 digits).At least 2 out of 3 correct conversions.
Tier 2 (Proficient)Students complete a short worksheet with 6 conversions (4-digit and 5-digit numbers) in both directions.5 or more correct.
Tier 3 (Advanced)Students are given a word problem: “You’re managing a budget of 1,206,850. Break it down in expanded form and justify your breakdown.”Logical explanation and accurate expanded form.

🏁 Extend (Homework/Enrichment)

  • Students research how different number systems (e.g., Roman Numerals or Binary Code) represent the number 365.

  • Optional: Create a poster comparing expanded form vs. Roman numerals.


📌 

Thursday, August 27, 2020

NUMBERS / PLACE, FACE, TRUE VALUE

FOCUS QUESTION:

How do I write numbers in the different number system?


SPECIFIC OBJECTIVE:

Read, write and use numbers, using the principle of place value, in the Hindu-Arabic system of numeration.



CONTENT SUMMARY:

Each place on the place value chart represents a power of ten. As we move left of the decimal place, the numbers increase in value. The opposite happens when we move right of the decimal point. All digit to the left of the decimal point are whole numbers. Digits to the right of the decimal point are fractional numbers. Every digit has three values: the place, the face and the actual or true value. The place times the place gives the actual value.

Decimals Place Value Chart - Fractions and Decimals



ENGAGE:
Students what do you know about the following terms?
Face value
Place value
Actual/true value

How do you read the number 777 ?
Are all the digits the same value?
What helped you to determine the number?

EXPLORE:

Can we read the following together and have some discussion.
Place Value and Face Value

Understanding Numbers. - ppt video online download
Let's quickly review what the place value chart is and how numbers are positioned on the chart. Now look at the one below. This chart would represent whole numbers.
blank place value charts - Google Search | Place value chart, Math ...

Let us listen to this video clip that will further clarify some of the concepts we have discussed.

Now watch this one to see how we treat decimals. Examine the decimal place value chart now.

What is Place Value? - [Definition, Facts & Example]

What can we say about the numbers in pink?
What about those in purple?

EXPLAIN:
Differentiate between place value and face value.
Represent the following numbers on your place value mats.

1098
267
1,345,786
1,235,789,615
2.679
187.5678

Now find a partner to complete this chart below.



EXTEND/ELABORATE:

Complete this fun activity.
Do this quick exercise.

Place Value Hop | Lesson plan | Education.com


EVALUATION:

Do numbers 1-6 plus any other two activity sheets.

1.     (1)  Find the difference between the values of the digits underlined.

(a)    567964         (b) 127819

2.      (2) Write the following numbers in worded form using place value chart as a guide.

(a)    600606      (a)7487356

3.      (3)  Robert and Shawn were asked to write the value of each 6 in the number 6666 below. They gave their answers as follow.

            6             6            6          6

 

           ⇩             ⇩           ⇩         


         6000        600         60         6

 

ROBERT

                     6           6           6          6

 

                     ⇩           ⇩           ⇩           


                   600         60           6         1

 

SHAWN

(a)    Which of the boys’ response is correct?

(b)   Justify your answer.___________________________________________________________

4.       (4) Consider the number 1593. Which digit has the greatest value?  Give reason for your answer.

5.       (5) Place the numbers in the table below in ascending order

25496

7654

1987526

340724

90063

 

1.      6.  Tick true or false for the statements below.

STATEMENTS

TRUE

FALSE

Each place on the place value chart is 10 times larger than the other.

 

 

The value of each digit in a number depends on its position in the number.

 

 

The value of numbers decrease as we move to the left of the place value chart.

 

 

To get the value of a digit in a number, we multiply the digit by the place it holds on the place value chart.

 

 


#7

Read given scenario from the chalkboard which will lead to discussion.

                Paula was asked to find the sum of 4675 and 291. She set out the problem as follows:

                                      4 6 7 5

                                 +  2 9 1

                                _________         Do you believe Paula will arrive at the correct answer? Yes/No

                                                             Give reason/s to justify your answer.

 

 



#10
Place Value Worksheets | Place Value Worksheets for Practice

#11
Open the link below and complete the activity
ACTIVITY: Place Value



Follow Up Practice Exercises

Lesson Plan: 5E Model (Grade 6)

Theme: Numbers – Place Value, Face Value, True Value

Focus Question: How do I write numbers in the different number system?

Strand: Number

Topic: Place Value, Face Value, True Value

Time: 1 hour


Objectives:

Students will be able to:

  1. Read, write, and use numbers using the principle of place value in the Hindu-Arabic system of numeration.

  2. Differentiate between face value, place value, and true value of digits in a number.

  3. Represent and explain the value of each digit in a given number.


Materials:

  • Place value chart/mats (print/digital)

  • Base-10 blocks or place value disks

  • Whiteboards and markers

  • STEM handout with real-life math data (e.g., population figures, distances in space)

  • Laptops, chromebooks, projector

  • Worksheets for tiered evaluation

  • Teachers blogsite


STEM Integration:

Math & Technology: Students analyze real-world data such as distances between planets (using large numbers) or country populations and identify place/face/true value of digits using digital place value charts.


The 5E Model

1. Engage (10 mins)

  • Activity: Display the number 7,503,218. Ask:

    "What do you think each digit means in this number?"
    "What happens if we change the position of a digit?"

  • Let students use place value flip charts or base-10 blocks to build the number.

  • Discuss face value vs place value briefly using a simple number (e.g., 408).

2. Explore (15 mins)

  • Students work in pairs to complete a place value scavenger hunt:

    • They are given 3 large numbers (e.g., 5,762,109) and asked to:

      1. Identify the face value of specific digits

      2. Determine the place value of the same digits

      3. Calculate the true value (face value × place value)

  • Tools: Place value chart, base-10 blocks or an online interactive chart

  • Teacher circulates, prompting with questions:

    "What is the digit in the hundred-thousands place?"
    "If that digit moved to the tens place, what changes?"

3. Explain (10 mins)

  • Discuss findings from the scavenger hunt.

  • Teacher explicitly teaches:

    • Face value: The digit itself

    • Place value: The position a digit occupies

    • True value: Face value × place value

  • Use the number 8,432,105 to demonstrate each term with each digit.

4. Elaborate (15 mins)

  • STEM Connection Task:
    Provide real-world large numbers (population of Jamaica: ~2,828,000, Earth's distance from Sun: ~149,600,000 km).

  • Students:

    • Write numbers in words and figures

    • Identify specific digit values (face/place/true)

    • Discuss why understanding large numbers matters in science/engineering

  • Differentiated Task Tiers:

    • Tier 1 (Basic): Identify face, place, and true values of digits in 3-digit and 4-digit numbers

    • Tier 2 (Intermediate): Work with 6- to 7-digit numbers in real-world contexts

    • Tier 3 (Advanced): Given a scenario (e.g., building materials needed for a skyscraper using data with large numbers), analyze and interpret number values in context

5. Evaluate (10 mins)

Three-Tier Evaluation Task (choose based on ability group):

TierTask Description
Tier 1: EmergingIdentify the face, place, and true value of digits in 3 given numbers (up to 4 digits).
Tier 2: DevelopingGiven a 6-digit number in a real-world context, answer questions such as: “What is the value of the 3 in this number?”
Tier 3: ProficientGiven a problem: “The number 4 appears twice in the number 4,840,349. Which one has a greater true value and why?” Students must explain their reasoning.

Exit Ticket Prompt:
“What is one thing you learned about the Hindu-Arabic number system today?”
“Why is place value important when reading numbers?”


Accommodations for Differentiated Learning:

  • Visual learners: Use base-10 blocks, charts

  • Kinesthetic learners: Build numbers with digit cards

  • Auditory learners: Group discussions and oral explanations

  • Advanced learners: Work with 9-digit numbers and explore exponential notation briefly


Extension/Homework:

  • Students find 3 large numbers from newspapers or online (sports scores, populations, or financial figures) and identify face, place, and true values of any three digits.