Oxford Mathematics Primary Years Programme

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

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?

  • $16 = 10 + 8$
  • $16 = 5 + 9$
  • $16 = 2 + 13$
  • $16 = 12 + 4$ (correct)

If you have 20 counters and you partition them into two groups, which combination is NOT possible based on the provided content?

  • 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?

<p>Dividing a whole into distinct, non-overlapping parts or subsets. (A)</p> Signup and view all the answers

When counting on from a larger number, you begin with the ______ number and increment by the ______ number.

<p>larger, smaller</p> Signup and view all the answers

What is the result of counting on 9 from 23?

<p>32 (A)</p> Signup and view all the answers

When presented with the addition problem 5 + 16, it is more efficient to start counting from 5 and add 16.

<p>False (B)</p> Signup and view all the answers

Calculate the result of adding 12 to 65 using mental math strategies.

<p>77</p> Signup and view all the answers

Which of the following is the most accurate description of the strategy of 'counting on'?

<p>Starting with the larger addend and incrementing by the value of the smaller addend. (C)</p> Signup and view all the answers

Applying the 'count on' strategy to determine how much is 8 more than 86, you would start at ______ and progress by ______ steps.

<p>86, 8</p> Signup and view all the answers

Which of the following mathematical strategies is most closely aligned with the concept of 'partitioning' as described in the content?

<p>Decomposition (B)</p> Signup and view all the answers

When adding 9 and 3 using the count-on strategy, which number should you start with and why?

<p>Start with 9 because it is the larger number, requiring fewer counts to reach the sum. (A)</p> Signup and view all the answers

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.

<p>False (B)</p> Signup and view all the answers

Explain how the 'count on' strategy simplifies addition, especially when dealing with numbers that have a significant difference in value.

<p>The 'count on' strategy simplifies addition by starting with the larger number and adding the smaller number incrementing one by one, which reduces the effort required to count from one.</p> Signup and view all the answers

To efficiently add 16 and 3 using the count-on method, begin with ______ and count up three times.

<p>16</p> Signup and view all the answers

In a problem where you need to add 12 and 11, which initial step demonstrates the most efficient use of the 'count on' strategy?

<p>Starting at 12 and counting up 11 numbers. (D)</p> Signup and view all the answers

What is the primary advantage of using a number line in conjunction with the 'count on' strategy?

<p>It provides a visual representation of the addition process, which can improve understanding and accuracy. (D)</p> Signup and view all the answers

Explain a scenario where the 'count on' strategy might not be the most efficient method for addition. What alternative strategy could be used?

<p>When adding numbers with a small difference, the 'count on' strategy may be less efficient than other methods, such as memorizing addition facts or using mental math strategies.</p> Signup and view all the answers

When presented with an addition problem, the first step in effectively applying the 'count on' strategy involves identifying the ______ of the two numbers.

<p>larger</p> Signup and view all the answers

Which of the following methods is LEAST efficient for finding the difference between two numbers, especially when dealing with larger values?

<p>Using a pre-calculated difference table for common number pairs. (B)</p> Signup and view all the answers

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.

<p>True (A)</p> Signup and view all the answers

Explain a real-world scenario where knowing the difference between two quantities is crucial for decision-making.

<p>Budgeting, determining profit/loss, measuring temperature changes, calculating speed, figuring out discounts.</p> Signup and view all the answers

When finding the difference between 25 and 18 by counting back, you start at 25 and count back ______ units to reach 18.

<p>7</p> Signup and view all the answers

Match the number pairs with their corresponding differences:

<p>14 and 18 = 4 9 and 12 = 3 17 and 9 = 8 27 and 21 = 6</p> Signup and view all the answers

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?

<p>The relationship between addition and subtraction. (A)</p> Signup and view all the answers

Which calculation strategy would be most appropriate and efficient to find the difference between 102 and 98?

<p>Counting up from 98 to 102. (A)</p> Signup and view all the answers

Given three numbers A, B, and C, where A > B > C, which expression represents the largest difference?

<p>$A - C$ (A)</p> Signup and view all the answers

Based on the data provided for skip counting, which of the following sequences demonstrates consistent incremental jumps?

<p>a: 2s -&gt; 38, 40, 42, 46, 50, 56 (A)</p> Signup and view all the answers

In skip counting by 5s, the sequence 35, 40, 50, 65, 75 demonstrates a consistent arithmetic progression.

<p>False (B)</p> Signup and view all the answers

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?

<p>100</p> Signup and view all the answers

When skip counting by ______, the difference between consecutive numbers is constant and equal to the skip count value.

<p>2s, 5s, or 10s</p> Signup and view all the answers

Match the skip counting sequence with their respective skip values:

<p>38, 40, 42, 46, 50, 56 = Skip counting by 2s 35, 40, 50, 65, 75 = Skip counting by 5s 10, 30, 70, 100 = Skip counting by 10s</p> Signup and view all the answers

Consider the skip counting chart provided. Which skip counting sequence contains an error?

<p>All sequences are correct (B)</p> Signup and view all the answers

Following the 'Skip count by 2s' directions, '73, 66, 65, 56' is a correct path for the koala to get to the tree.

<p>False (B)</p> Signup and view all the answers

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?

<p>71</p> Signup and view all the answers

Which of the following pairs does NOT represent a valid partition of 28 as demonstrated in the provided examples?

<p>38 and -10 (B)</p> Signup and view all the answers

Partitioning numbers is MOST strategically employed to enhance which of the following mathematical skills?

<p>Simplification of complex arithmetic problems (D)</p> Signup and view all the answers

True or False: For any given whole number, there exists only a single, unique way to partition it into exactly two whole number parts.

<p>False (B)</p> Signup and view all the answers

True or False: When a number is partitioned, each resulting part must invariably be of a lesser value than the original number.

<p>False (B)</p> Signup and view all the answers

Demonstrate a partition of the number 57 into three parts, ensuring that one of these parts is precisely 25.

<p>Example answers: 25, 20, 12 or 25, 15, 17 or 25, 30, 2. Many combinations are possible.</p> Signup and view all the answers

Articulate in your own words the fundamental advantage of employing number partitioning as a strategy when dealing with calculations involving larger numerical values.

<p>Example answer: Partitioning larger numbers simplifies complex calculations by breaking them down into smaller, more manageable parts. This allows for easier mental arithmetic or step-by-step problem-solving by working with less intimidating numbers.</p> Signup and view all the answers

Complete the following four-part partition of the number 57: ___ and 5 and 20 and 7.

<p>25</p> Signup and view all the answers

Match each number with the set of partitions that accurately represents it.

<p>14 = 7 and 7; 10 and 4 28 = 20 and 8; 14 and 14 57 = 30 and 27; 40 and 17 11 = 6 and 5; 7 and 4</p> Signup and view all the answers

Flashcards

Counting On

A strategy where you start from a larger number and count upwards to find the answer.

Bigger Number

The larger of two numbers you begin counting from.

Addition of 9 and 3

Counting on from 9, you add 3 to get 12.

Addition of 11 and 6

When counting on from 11, adding 6 gives you 17.

Signup and view all the flashcards

Addition of 2 and 15

Counting on from 2, you reach 17 after adding 15.

Signup and view all the flashcards

Circle the Bigger Number

A practice method where you identify and focus on the larger number before adding.

Signup and view all the flashcards

Number Line Usage

Using a visual representation of numbers to show and solve addition problems.

Signup and view all the flashcards

Drawing More Objects

Adding a specific number of items to a group to find the new total.

Signup and view all the flashcards

Partitioning Numbers

The process of dividing a number into two or more parts.

Signup and view all the flashcards

Example of Partitioning

23 can be partitioned as 10 and 13, 20 and 3, or 15 and 8.

Signup and view all the flashcards

Number Pair

A combination of two numbers that add up to a specific total.

Signup and view all the flashcards

Drawing Counters

Using objects to represent and visualize numbers for partitioning.

Signup and view all the flashcards

Independent Practice

Activities done alone to reinforce learning, such as partitioning numbers into parts.

Signup and view all the flashcards

Ways to Partition

Different combinations or methods to break a number into parts.

Signup and view all the flashcards

Partition 28

Finding different pairs or groups that total 28.

Signup and view all the flashcards

Partition 57

Identifying sums that result in 57 when combined.

Signup and view all the flashcards

Same as Partition

Using different numbers that equal the same total when partitioned.

Signup and view all the flashcards

Finding Multiple Ways

Discovering various combinations to express a value.

Signup and view all the flashcards

Understanding Value Partitioning

Comprehending why breaking down numbers is useful in math.

Signup and view all the flashcards

Smaller number

The lesser of two numbers being compared.

Signup and view all the flashcards

Count on

To add to a number by progressing sequentially.

Signup and view all the flashcards

Altogether

The total when numbers are combined.

Signup and view all the flashcards

Partitioning

The process of separating a whole into parts.

Signup and view all the flashcards

Counting more

Finding how much more one number is than another.

Signup and view all the flashcards

Drawing numbers

Visually representing numbers using colors for clarity.

Signup and view all the flashcards

Combined total

The sum of two or more numbers after counting on.

Signup and view all the flashcards

Difference Between Numbers

The result of subtracting one number from another.

Signup and view all the flashcards

Finding Differences

Identify the gap between two values by counting.

Signup and view all the flashcards

Count Up Method

A technique to find difference by counting from the smaller number to the larger one.

Signup and view all the flashcards

Counting Back Method

A strategy where you start with a larger number and count backwards to find the difference.

Signup and view all the flashcards

Pairs with Difference of 3

Two numbers that, when subtracted, give a result of 3.

Signup and view all the flashcards

Guided Practice

Structured exercises led by a teacher to help students learn.

Signup and view all the flashcards

Number Line

A visual tool for showing numbers in order and finding differences.

Signup and view all the flashcards

Skip Counting by 2s

Counting numbers in increments of two, e.g., 2, 4, 6, 8.

Signup and view all the flashcards

Skip Counting by 5s

Counting numbers in groups of five, e.g., 5, 10, 15.

Signup and view all the flashcards

Number Pattern

A sequence of numbers that follow a specific rule or formula.

Signup and view all the flashcards

Counting Sequence

A specific order of numbers used in counting.

Signup and view all the flashcards

Colouring Squares

Using colors to represent or highlight numbers in a sequence.

Signup and view all the flashcards

Secret Number

A number you find by following a clue, often in skip counting.

Signup and view all the flashcards

Count to Find Quantity

The action of counting objects to determine how many there are.

Signup and view all the flashcards

Koala and the Tree

A visual problem-solving scenario using skip counting to reach a goal.

Signup and view all the flashcards

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

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Unleash Your PYP Potential
5 questions
Estrategias de Implementación de la Resolución 3280 y PYP
5 questions
General Knowledge PYP Practice Set - India
11 questions
Use Quizgecko on...
Browser
Browser