Podcast
Questions and Answers
Which of the following describes the concept of partitioning?
Which of the following describes the concept of partitioning?
- Combining different objects to make a larger group
- Ordering objects by size and weight
- Exploring different ways to make a number, such as 1+5 or 2+4 (correct)
- Counting all groups of objects individually before totaling
Ordinal numbers include values such as 1st, 2nd, and 3rd.
Ordinal numbers include values such as 1st, 2nd, and 3rd.
True (A)
What is an example of an activity that helps children recognize numerals?
What is an example of an activity that helps children recognize numerals?
Bingo or 'Guess my number'
To form numerals, children can use techniques such as _____ or sand basin.
To form numerals, children can use techniques such as _____ or sand basin.
Match the following stages of counting with their descriptions:
Match the following stages of counting with their descriptions:
Which of the following is NOT one of the maths pedagogical practices?
Which of the following is NOT one of the maths pedagogical practices?
Conceptual understanding involves recognizing number names in the correct order from memory.
Conceptual understanding involves recognizing number names in the correct order from memory.
What is strategic competence in maths?
What is strategic competence in maths?
The ability to explain or understand thinking in mathematics refers to __________ reasoning.
The ability to explain or understand thinking in mathematics refers to __________ reasoning.
Match the type of picture book with its description:
Match the type of picture book with its description:
What is the first step in counting effectively, as indicated by the acronym 'CAN SMCRRCS'?
What is the first step in counting effectively, as indicated by the acronym 'CAN SMCRRCS'?
Subitising allows children to recognize the number of items in a group without counting.
Subitising allows children to recognize the number of items in a group without counting.
What type of maths operation is demonstrated by the scenario of '3 tigers and here comes 2 more'?
What type of maths operation is demonstrated by the scenario of '3 tigers and here comes 2 more'?
Which property states that the order of numbers does not affect the sum when adding?
Which property states that the order of numbers does not affect the sum when adding?
The result of adding zero to a number changes that number.
The result of adding zero to a number changes that number.
What is one strategy for estimating the sum of 154 + 635 + 99 + 251?
What is one strategy for estimating the sum of 154 + 635 + 99 + 251?
In the mixed method of addition, a combination of various strategies such as ______ and ______ can be used.
In the mixed method of addition, a combination of various strategies such as ______ and ______ can be used.
Match the following subtraction types with their descriptions:
Match the following subtraction types with their descriptions:
What is the result of the subtraction 85 - 58?
What is the result of the subtraction 85 - 58?
The commutative property of multiplication means the order of numbers does not affect the product.
The commutative property of multiplication means the order of numbers does not affect the product.
What is the result of 7 x 0?
What is the result of 7 x 0?
Using the ________ method for 29 x 4 gives us 116.
Using the ________ method for 29 x 4 gives us 116.
Match the following properties of multiplication with their definitions:
Match the following properties of multiplication with their definitions:
Which of the following represents the partitioning method for 29 x 4?
Which of the following represents the partitioning method for 29 x 4?
The zero property of multiplication states that any number multiplied by one equals zero.
The zero property of multiplication states that any number multiplied by one equals zero.
What is one strategy mentioned for division?
What is one strategy mentioned for division?
If 24 apples are shared equally among 4 friends, how many apples does each friend get?
If 24 apples are shared equally among 4 friends, how many apples does each friend get?
A fraction can only be simplified if the numerator and denominator share a common factor greater than 1.
A fraction can only be simplified if the numerator and denominator share a common factor greater than 1.
What is an area model for understanding fractions?
What is an area model for understanding fractions?
To find the equivalent fraction of 2/3, multiply both the numerator and denominator by __________.
To find the equivalent fraction of 2/3, multiply both the numerator and denominator by __________.
Match the fraction types with their explanations:
Match the fraction types with their explanations:
What is the sum of 3/8 and 2/8?
What is the sum of 3/8 and 2/8?
Fractions and decimals represent the same value but are two different systems.
Fractions and decimals represent the same value but are two different systems.
What is the result of 3/12 plus 4/12?
What is the result of 3/12 plus 4/12?
1/10 as a decimal is ______.
1/10 as a decimal is ______.
Match the type of fraction with their examples:
Match the type of fraction with their examples:
Which of the following activities helps in recognizing numerals?
Which of the following activities helps in recognizing numerals?
Ordinal numbers include values such as 1, 2, 3.
Ordinal numbers include values such as 1, 2, 3.
Name one method for forming numerals.
Name one method for forming numerals.
When you combine several groups of objects before counting, this is known as _____ count.
When you combine several groups of objects before counting, this is known as _____ count.
Match each stage of counting with its description:
Match each stage of counting with its description:
Which of the following statements is true regarding the commutative property of addition?
Which of the following statements is true regarding the commutative property of addition?
Adding zero to a number changes its value.
Adding zero to a number changes its value.
What is a strategy that can be used for estimating the sum of large numbers?
What is a strategy that can be used for estimating the sum of large numbers?
The ______ method involves breaking a number into components to simplify addition, such as $46 + 38 = 40 + 30 + 6 + 8$.
The ______ method involves breaking a number into components to simplify addition, such as $46 + 38 = 40 + 30 + 6 + 8$.
Match the following types of subtraction problems with their descriptions:
Match the following types of subtraction problems with their descriptions:
Which type of picture book explicitly teaches math concepts?
Which type of picture book explicitly teaches math concepts?
Adaptive reasoning involves recognizing similarities and differences among numbers.
Adaptive reasoning involves recognizing similarities and differences among numbers.
If 24 apples are packed into bags containing 6 apples each, how many bags are needed?
If 24 apples are packed into bags containing 6 apples each, how many bags are needed?
What is the term for the ability to see math as useful and beneficial?
What is the term for the ability to see math as useful and beneficial?
The grouping and structuring of numbers to think about parts and wholes is known as __________.
The grouping and structuring of numbers to think about parts and wholes is known as __________.
A unit that is divided into smaller equal parts is called partitioning.
A unit that is divided into smaller equal parts is called partitioning.
How many goals did Alan score if Jill scored 24 goals, which is 6 more than Alan?
How many goals did Alan score if Jill scored 24 goals, which is 6 more than Alan?
Match each math proficiency with its description:
Match each math proficiency with its description:
Which experience helps children develop number sense through games?
Which experience helps children develop number sense through games?
To simplify a fraction, you divide both the numerator and the denominator by the same __________.
To simplify a fraction, you divide both the numerator and the denominator by the same __________.
All picture books used in math education are designed to explicitly teach math concepts.
All picture books used in math education are designed to explicitly teach math concepts.
Match the fraction model to its description:
Match the fraction model to its description:
Children can effectively count by using experiences such as ________ and recognizing ________ in a group.
Children can effectively count by using experiences such as ________ and recognizing ________ in a group.
What do you get when you convert 1/10 to a decimal?
What do you get when you convert 1/10 to a decimal?
If you multiply 3/8 by 2/8, the product is _____.
If you multiply 3/8 by 2/8, the product is _____.
Match the following fractions to their equivalent decimal values:
Match the following fractions to their equivalent decimal values:
What is the result of using the shortcut method for 85 - 60?
What is the result of using the shortcut method for 85 - 60?
The commutative property of multiplication states that changing the order of factors changes the product.
The commutative property of multiplication states that changing the order of factors changes the product.
Describe the zero property of multiplication.
Describe the zero property of multiplication.
The properties of multiplication include commutative, associative, distributive, identity, and ________.
The properties of multiplication include commutative, associative, distributive, identity, and ________.
Match the multiplication properties with their respective explanations:
Match the multiplication properties with their respective explanations:
Which of the following strategies is used for estimating the difference in 419 - 65?
Which of the following strategies is used for estimating the difference in 419 - 65?
Repeated addition can be used to model multiplication problems.
Repeated addition can be used to model multiplication problems.
Which of the following is NOT a type of maths proficiency?
Which of the following is NOT a type of maths proficiency?
Productive disposition refers to recognizing math as unhelpful.
Productive disposition refers to recognizing math as unhelpful.
What is an example of an experience that helps children develop number sense?
What is an example of an experience that helps children develop number sense?
An explicit picture book is one that _____ math concepts.
An explicit picture book is one that _____ math concepts.
Match the maths proficiencies with their descriptions:
Match the maths proficiencies with their descriptions:
Which of the following skills is developed through playfulness in math?
Which of the following skills is developed through playfulness in math?
Name one experience children require to count effectively.
Name one experience children require to count effectively.
Fractions are part of the number strand units in mathematics.
Fractions are part of the number strand units in mathematics.
Flashcards
Procedural Fluency in Maths
Procedural Fluency in Maths
Using maths procedures effectively and efficiently.
Conceptual Understanding in Maths
Conceptual Understanding in Maths
Understanding the underlying ideas and concepts in maths.
Productive Disposition in Maths
Productive Disposition in Maths
Seeing maths as useful and beneficial.
Adaptive Reasoning in Maths
Adaptive Reasoning in Maths
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Place Value in Maths
Place Value in Maths
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Subitising in Maths
Subitising in Maths
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Matching in Maths
Matching in Maths
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Classifying/Sorting in Maths
Classifying/Sorting in Maths
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Cardinal numbers
Cardinal numbers
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Ordinal numbers
Ordinal numbers
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Counting on
Counting on
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Counting all
Counting all
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Commutative property
Commutative property
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Partitioning
Partitioning
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Measurement Model for Fractions
Measurement Model for Fractions
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Set Model for Fractions
Set Model for Fractions
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Comparing Fractions
Comparing Fractions
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Simplifying Fractions
Simplifying Fractions
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Addition Strategies
Addition Strategies
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Commutative Property of Addition
Commutative Property of Addition
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Subtraction Types
Subtraction Types
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Subtraction Facts
Subtraction Facts
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Renaming in Addition
Renaming in Addition
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Fraction Families
Fraction Families
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Adding Fractions with Different Denominators
Adding Fractions with Different Denominators
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Decimal Place
Decimal Place
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Hundred Square Model
Hundred Square Model
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Converting Fractions to Decimals
Converting Fractions to Decimals
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Jump method for subtraction
Jump method for subtraction
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Split method for subtraction
Split method for subtraction
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Repeated addition for multiplication
Repeated addition for multiplication
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Equal group contexts for multiplication
Equal group contexts for multiplication
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Commutative property of multiplication
Commutative property of multiplication
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Distributive property of multiplication
Distributive property of multiplication
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Zero property of multiplication
Zero property of multiplication
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Identity property of multiplication
Identity property of multiplication
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Explicit Picture Books
Explicit Picture Books
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Embedded Picture Books
Embedded Picture Books
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Perceived Picture Books
Perceived Picture Books
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Uses of Number
Uses of Number
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Number Sense
Number Sense
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Subitising
Subitising
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Rote Counting
Rote Counting
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Rational Counting
Rational Counting
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Comparing Sets
Comparing Sets
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Ordering Numbers
Ordering Numbers
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Stages of Counting: Count On
Stages of Counting: Count On
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Adding Zero
Adding Zero
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What is the commutative property?
What is the commutative property?
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Split Method for Addition
Split Method for Addition
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What are 'Doubles' in Addition?
What are 'Doubles' in Addition?
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What is the Jump Method for Addition?
What is the Jump Method for Addition?
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Length Model for Fractions
Length Model for Fractions
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Fraction of a Unit
Fraction of a Unit
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Decimals
Decimals
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Jump Method
Jump Method
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Split Method
Split Method
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Round Up Estimation
Round Up Estimation
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Round Only One Number
Round Only One Number
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Equal Group Contexts
Equal Group Contexts
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Study Notes
Maths Exam Preparation
- Use cognitively challenging tasks to foster productive mathematical thinking.
- Promote mathematical discussions and encourage playful learning activities.
- Emphasize mathematical modelling as a key skill.
Mathematical Proficiencies
- Adaptive reasoning involves logic to understand and explain mathematical concepts.
- Procedural fluency is demonstrating effective use of mathematical procedures.
- Productive disposition involves seeing mathematics as useful and beneficial.
- Strategic competence is the ability to solve mathematical problems.
- Conceptual understanding is the comprehension of mathematical concepts.
Types of Picture Books
- Explicit picture books directly teach mathematical concepts.
- Embedded picture books subtly include mathematical concepts integrated with the storyline.
- Perceived picture books include mathematical concepts unintentionally but are still relevant.
Number Strand Units
- The "uses of number" cover various applications of numerical concepts.
- Numeration and counting involve the understanding and use of numbers.
- Place value and base ten understanding place value systems.
- Sets and operations address problems involving change, including joining, separating, part-part-whole relationships, and comparisons.
Experiences for Effective Counting
- Activities like classifying, sorting, and matching help students understand properties, similarities, and differences, and relationships.
- Rote counting involves recalling number names in order from memory as students engage in various games and experiences.
- Rational counting involves applying sets and number names to practical contexts.
- Combining emphasizes the concept that grouping items in different configurations does not change the total quantity.
- Subitising involves identifying the value of a small group of items quickly without counting them individually.
Comparing Quantities and Properties
- Students use comparison skills to evaluate size, weight, height, colour, and other properties
- Matching sets and numbers aids counting
- Ordering numbers and making number lines helps with organizing mathematical concepts
Recognising Numerical Representations
- Straight and curved lines are used in identifying and drawing numerals in various forms.
- Numeral formation includes activities like familiarizing themselves with numerals and number lines and performing tasks like tracing numerals and writing them.
- The recognition of numerals includes recognizing different forms of numbers and learning rhymes to aid development.
- Ordinal numbers involve the understanding of order.
Addition
- Students use mathematical language for addition like "sum of," "add," "combine," "together," "total," and "increase."
- Basic addition facts (e.g., 1 more than, 2 more than) are integral to mastery.
- Facts involving zero are critical for understanding place value.
- Doubles and near doubles are foundational.
- Strategies such as split methods, jump methods, and shortcut methods are practiced and developed for solving addition problems.
- Various algorithms (ways to solve a problem) are explored to encourage flexibility and understanding in tackling problems.
Estimation Strategies
- Rounding is used to estimate the value of large numbers using compatible numbers.
- Clustering uses compatible numbers to group values and make estimates.
- Renaming helps in grouping numbers by tens/ hundreds during addition when new groups are added.
Subtraction
- Students understand subtraction using addition facts where possible.
- Students develop and explore different strategies to solve problems including jump methods, split methods and shortcut methods
- Students also use estimation strategies to estimate the answer
- Problems based on "change," "complementing", and "difference" situations are common.
Multiplication Problems
- Comparison problems are common for multiplication
- Various models are used (sets, collections, and arrays)
- Students develop skills around using number lines, and hundred squares and understand the properties.
- The concepts of commutative, distributive, and zero properties related to multiplication are demonstrated.
- Addition can be a foundational strategy.
- Students are often introduced to repeated addition and multiplication problems combined.
Multiplication Methods
- Estimation procedures such as rounding or compatible numbers can be useful
- Multiplication algorithms (including long multiplication methods) are introduced
- Partitioning and short-cut subtraction Methods are useful in calculation
Multiplication and Division Books
- Stories and real-world contexts are used to reinforce understanding of multiplication facts and concepts.
Fractions
- Various models, including area and length models, are used to understand and develop fraction concepts
- Understanding the unit size is a critical concept developed
- Understanding equivalence and comparing fractions are explored through activities like using number lines and benchmarks
- Simplifying fractions are an important skill
- Students identify equivalent fractions and use operations (addition, subtraction, and multiplication) with fractions
Decimals
- Understanding place value is critical to decimals
- Students are Introduced to tenths, hundredths, and thousandths
- Converting between decimals and fractions are crucial (using operations like rounding)
- Students practice ordering decimals, using number lines, and using problem-solving approaches for various scenarios (addition, subtraction, multiplication, division)
Percentages
- Percentages are introduced as a way of representing a part of 100
- Conversion between percentages, decimals and fractions are explored
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Description
Explore effective strategies for preparing for math exams. This quiz focuses on fostering mathematical thinking through challenging tasks, discussions, and playful learning. Additionally, it highlights key proficiencies and types of picture books that aid in understanding mathematical concepts.
