Podcast
Questions and Answers
Partitioning 23 into two parts, if one part is 7, the other part is ______.
Partitioning 23 into two parts, if one part is 7, the other part is ______.
16
Which of the following equations represents a valid partition of the number 16 into two parts?
Which of the following equations represents a valid partition of the number 16 into two parts?
- $16 = 10 + 8$
- $16 = 5 + 9$
- $16 = 2 + 13$
- $16 = 12 + 4$ (correct)
If you have 20 counters and you partition them into two groups, which combination is NOT possible based on the provided content?
If you have 20 counters and you partition them into two groups, which combination is NOT possible based on the provided content?
- 2 and 18
- 7 and 12 (correct)
- 5 and 15
- 10 and 10
Which of the following is the most accurate description of 'partitioning' in a mathematical or conceptual context?
Which of the following is the most accurate description of 'partitioning' in a mathematical or conceptual context?
When counting on from a larger number, you begin with the ______ number and increment by the ______ number.
When counting on from a larger number, you begin with the ______ number and increment by the ______ number.
What is the result of counting on 9 from 23?
What is the result of counting on 9 from 23?
When presented with the addition problem 5 + 16, it is more efficient to start counting from 5 and add 16.
When presented with the addition problem 5 + 16, it is more efficient to start counting from 5 and add 16.
Calculate the result of adding 12 to 65 using mental math strategies.
Calculate the result of adding 12 to 65 using mental math strategies.
Which of the following is the most accurate description of the strategy of 'counting on'?
Which of the following is the most accurate description of the strategy of 'counting on'?
Applying the 'count on' strategy to determine how much is 8 more than 86, you would start at ______ and progress by ______ steps.
Applying the 'count on' strategy to determine how much is 8 more than 86, you would start at ______ and progress by ______ steps.
Which of the following mathematical strategies is most closely aligned with the concept of 'partitioning' as described in the content?
Which of the following mathematical strategies is most closely aligned with the concept of 'partitioning' as described in the content?
When adding 9 and 3 using the count-on strategy, which number should you start with and why?
When adding 9 and 3 using the count-on strategy, which number should you start with and why?
When using the count-on strategy, it is always more efficient to start counting from the smaller number, regardless of the difference between the two numbers.
When using the count-on strategy, it is always more efficient to start counting from the smaller number, regardless of the difference between the two numbers.
Explain how the 'count on' strategy simplifies addition, especially when dealing with numbers that have a significant difference in value.
Explain how the 'count on' strategy simplifies addition, especially when dealing with numbers that have a significant difference in value.
To efficiently add 16 and 3 using the count-on method, begin with ______ and count up three times.
To efficiently add 16 and 3 using the count-on method, begin with ______ and count up three times.
In a problem where you need to add 12 and 11, which initial step demonstrates the most efficient use of the 'count on' strategy?
In a problem where you need to add 12 and 11, which initial step demonstrates the most efficient use of the 'count on' strategy?
What is the primary advantage of using a number line in conjunction with the 'count on' strategy?
What is the primary advantage of using a number line in conjunction with the 'count on' strategy?
Explain a scenario where the 'count on' strategy might not be the most efficient method for addition. What alternative strategy could be used?
Explain a scenario where the 'count on' strategy might not be the most efficient method for addition. What alternative strategy could be used?
When presented with an addition problem, the first step in effectively applying the 'count on' strategy involves identifying the ______ of the two numbers.
When presented with an addition problem, the first step in effectively applying the 'count on' strategy involves identifying the ______ of the two numbers.
Which of the following methods is LEAST efficient for finding the difference between two numbers, especially when dealing with larger values?
Which of the following methods is LEAST efficient for finding the difference between two numbers, especially when dealing with larger values?
Finding the difference between two numbers is always the same as determining how many units need to be added to the smaller number to reach the larger number.
Finding the difference between two numbers is always the same as determining how many units need to be added to the smaller number to reach the larger number.
Explain a real-world scenario where knowing the difference between two quantities is crucial for decision-making.
Explain a real-world scenario where knowing the difference between two quantities is crucial for decision-making.
When finding the difference between 25 and 18 by counting back, you start at 25 and count back ______ units to reach 18.
When finding the difference between 25 and 18 by counting back, you start at 25 and count back ______ units to reach 18.
Match the number pairs with their corresponding differences:
Match the number pairs with their corresponding differences:
A student is asked to find the difference between two numbers. They consistently count up from the larger number to the smaller one. What fundamental concept are they misunderstanding?
A student is asked to find the difference between two numbers. They consistently count up from the larger number to the smaller one. What fundamental concept are they misunderstanding?
Which calculation strategy would be most appropriate and efficient to find the difference between 102 and 98?
Which calculation strategy would be most appropriate and efficient to find the difference between 102 and 98?
Given three numbers A, B, and C, where A > B > C, which expression represents the largest difference?
Given three numbers A, B, and C, where A > B > C, which expression represents the largest difference?
Based on the data provided for skip counting, which of the following sequences demonstrates consistent incremental jumps?
Based on the data provided for skip counting, which of the following sequences demonstrates consistent incremental jumps?
In skip counting by 5s, the sequence 35, 40, 50, 65, 75 demonstrates a consistent arithmetic progression.
In skip counting by 5s, the sequence 35, 40, 50, 65, 75 demonstrates a consistent arithmetic progression.
If a student is skip counting by 10s and starts at 10, identifying 30 and 70 as subsequent numbers in the sequence, what is the likely next number if the student understands the pattern?
If a student is skip counting by 10s and starts at 10, identifying 30 and 70 as subsequent numbers in the sequence, what is the likely next number if the student understands the pattern?
When skip counting by ______, the difference between consecutive numbers is constant and equal to the skip count value.
When skip counting by ______, the difference between consecutive numbers is constant and equal to the skip count value.
Match the skip counting sequence with their respective skip values:
Match the skip counting sequence with their respective skip values:
Consider the skip counting chart provided. Which skip counting sequence contains an error?
Consider the skip counting chart provided. Which skip counting sequence contains an error?
Following the 'Skip count by 2s' directions, '73, 66, 65, 56' is a correct path for the koala to get to the tree.
Following the 'Skip count by 2s' directions, '73, 66, 65, 56' is a correct path for the koala to get to the tree.
Given the last segment of skip counting by 5s to find the secret number includes 48 and 94, what would be the whole number average between the two values?
Given the last segment of skip counting by 5s to find the secret number includes 48 and 94, what would be the whole number average between the two values?
Which of the following pairs does NOT represent a valid partition of 28 as demonstrated in the provided examples?
Which of the following pairs does NOT represent a valid partition of 28 as demonstrated in the provided examples?
Partitioning numbers is MOST strategically employed to enhance which of the following mathematical skills?
Partitioning numbers is MOST strategically employed to enhance which of the following mathematical skills?
True or False: For any given whole number, there exists only a single, unique way to partition it into exactly two whole number parts.
True or False: For any given whole number, there exists only a single, unique way to partition it into exactly two whole number parts.
True or False: When a number is partitioned, each resulting part must invariably be of a lesser value than the original number.
True or False: When a number is partitioned, each resulting part must invariably be of a lesser value than the original number.
Demonstrate a partition of the number 57 into three parts, ensuring that one of these parts is precisely 25.
Demonstrate a partition of the number 57 into three parts, ensuring that one of these parts is precisely 25.
Articulate in your own words the fundamental advantage of employing number partitioning as a strategy when dealing with calculations involving larger numerical values.
Articulate in your own words the fundamental advantage of employing number partitioning as a strategy when dealing with calculations involving larger numerical values.
Complete the following four-part partition of the number 57: ___ and 5 and 20 and 7.
Complete the following four-part partition of the number 57: ___ and 5 and 20 and 7.
Match each number with the set of partitions that accurately represents it.
Match each number with the set of partitions that accurately represents it.
Flashcards
Counting On
Counting On
A strategy where you start from a larger number and count upwards to find the answer.
Bigger Number
Bigger Number
The larger of two numbers you begin counting from.
Addition of 9 and 3
Addition of 9 and 3
Counting on from 9, you add 3 to get 12.
Addition of 11 and 6
Addition of 11 and 6
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Addition of 2 and 15
Addition of 2 and 15
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Circle the Bigger Number
Circle the Bigger Number
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Number Line Usage
Number Line Usage
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Drawing More Objects
Drawing More Objects
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Partitioning Numbers
Partitioning Numbers
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Example of Partitioning
Example of Partitioning
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Number Pair
Number Pair
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Drawing Counters
Drawing Counters
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Independent Practice
Independent Practice
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Ways to Partition
Ways to Partition
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Partition 28
Partition 28
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Partition 57
Partition 57
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Same as Partition
Same as Partition
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Finding Multiple Ways
Finding Multiple Ways
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Understanding Value Partitioning
Understanding Value Partitioning
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Smaller number
Smaller number
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Count on
Count on
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Altogether
Altogether
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Partitioning
Partitioning
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Counting more
Counting more
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Drawing numbers
Drawing numbers
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Combined total
Combined total
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Difference Between Numbers
Difference Between Numbers
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Finding Differences
Finding Differences
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Count Up Method
Count Up Method
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Counting Back Method
Counting Back Method
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Pairs with Difference of 3
Pairs with Difference of 3
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Guided Practice
Guided Practice
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Number Line
Number Line
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Skip Counting by 2s
Skip Counting by 2s
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Skip Counting by 5s
Skip Counting by 5s
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Number Pattern
Number Pattern
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Counting Sequence
Counting Sequence
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Colouring Squares
Colouring Squares
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Secret Number
Secret Number
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Count to Find Quantity
Count to Find Quantity
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Koala and the Tree
Koala and the Tree
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Study Notes
Oxford Mathematics Primary Years Programme
- This book is a student book for the Primary Years Programme (PYP)
- The book is published by Oxford University Press
- It is written by Annie Facchinetti
- The book covers the mathematical scope and sequence for the PYP
- The book is meant to be supported by teacher resources
- The series is designed to offer clear, comprehensive and easy-to-use materials for teachers
- The student books include guided practice, independent practice, and extended practice on each topic
- Differentiation is important in the series to ensure every student can access the curriculum at their point of need
- Further activities and support are available in teacher resources to cater for different learning needs
- The book includes topics like numbers, measurement, shape, space, data handling, chance and patterns
- The student books cover topics including 2-digit numbers, counting to 100, reading and writing numbers, ordering numbers, counting on, counting back, partitioning numbers
- Different practice types are included to help students learn and consolidate their understanding and skills in mathematics
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