Math Pedagogy Quiz
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Questions and Answers

Which of the following is an example of partitioning?

  • Counting all objects in a group
  • Ordering numbers from smallest to largest
  • Creating different pairs that equal the same total (correct)
  • Combining different shapes to form a new shape

Ordinal numbers indicate the position of an item in a sequence.

True (A)

What are two activities that can help students recognize numerals?

Bingo and guess my number.

The first stage of counting is to __________ all the objects in a group.

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

Match the counting stages with their definitions:

<p>Count all = Combine all groups of objects and count total Count on = Continue counting from a previously counted number Count on from first number = Add to the first number in a sequence Commutative property = The order of addition does not affect the sum</p> Signup and view all the answers

Which of the following is NOT a type of math proficiency?

<p>Visual learning (D)</p> Signup and view all the answers

Conceptual understanding involves memorizing math procedures without comprehension.

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

What is the primary purpose of explicit picture books in mathematics?

<p>To teach math concepts.</p> Signup and view all the answers

The process of recognizing the number of items in a group without counting is called ___.

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

Match the following math proficiencies with their descriptions:

<p>Adaptive reasoning = Using logic to explain thinking Procedural fluency = Effectively using math procedures Productive disposition = Seeing math as beneficial Strategic competence = Skills to solve math problems</p> Signup and view all the answers

Which type of experience helps children understand relationships and similarities in counting?

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

Embedded picture books are primarily used to teach math concepts in a direct manner.

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

What activity can help develop number sense through gaming?

<p>Sneaky snake game involving dice addition/subtraction.</p> Signup and view all the answers

Which of the following describes the commutative property of addition?

<p>The order of numbers does not change the result. (C)</p> Signup and view all the answers

When you add 0 to a number, the value of the number changes.

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

What is the final result of using the jump method to add 76 and 8?

<p>84</p> Signup and view all the answers

The process of combining numbers to find their total is known as __________.

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

Match the following common terms used in subtraction with their corresponding definitions:

<p>Take away = Reduction problem How many more? = Complementing problem Difference = Comparison problem Less = Negative operation</p> Signup and view all the answers

How many apples does each of the 4 friends receive when sharing 24 apples evenly?

<p>6 (D)</p> Signup and view all the answers

The fraction 9/10 is greater than 7/12.

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

How do you simplify the fraction 6/9?

<p>2/3</p> Signup and view all the answers

You can find the equivalent fraction by multiplying or dividing the numerator and denominator by the same number. For example, ______/3 = 1.

<p>3</p> Signup and view all the answers

Match the fraction models with their descriptions:

<p>Area model = Visualizing fractions with shapes or papers Length model = Using number lines or strips to show fractions Set model = Using collections of objects to represent fractions Impact of unit size = Comparing fractions based on different unit sizes</p> Signup and view all the answers

What is the result of the subtraction using the jump method for 85 - 58?

<p>27 (D)</p> Signup and view all the answers

The commutative property of multiplication states that changing the order of the numbers will yield a different result.

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

What does the zero property of multiplication indicate?

<p>Any number multiplied by zero equals zero.</p> Signup and view all the answers

The associative property allows the grouping of three or more numbers to be rearranged: (3 x 4) x 5 = ___ x (4 x 5).

<p>3</p> Signup and view all the answers

What is the first step in estimating 419 - 65 using the round all up method?

<p>Round both numbers up (A)</p> Signup and view all the answers

Match the multiplication property with its description:

<p>Commutative = Order doesn't matter Distributive = a(b + c) = ab + ac Zero = Any number multiplied by zero is zero Identity = Any number multiplied by one is the number itself</p> Signup and view all the answers

The identity property of multiplication states that multiplying any number by one results in zero.

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

If you have 29 x 4, what is one way to think of this problem using partitioning?

<p>20 x 4 + 9 x 4</p> Signup and view all the answers

What is the result of adding the fractions 3/8 and 2/8?

<p>5/8 (D)</p> Signup and view all the answers

3/4 - 2/3 can be solved using paper folding or a fraction wall.

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

Convert the fraction 1/10 to a decimal.

<p>0.1</p> Signup and view all the answers

The fraction ____ is equivalent to 0.25.

<p>1/4</p> Signup and view all the answers

Match the following models to their representations:

<p>Large cube = 1 unit/whole Flat = 1 tenth Long = 1 hundredth Small cube = 1 thousandth</p> Signup and view all the answers

What is a method for recognizing numerals mentioned in the content?

<p>Playing bingo (D)</p> Signup and view all the answers

Partitioning refers to finding different ways to combine numbers to make a total.

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

What is the cardinal number that follows 4?

<p>5</p> Signup and view all the answers

The ______ property in addition indicates that the order of the numbers does not affect the sum.

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

Match the following counting methods with their descriptions:

<p>Count all = Combine all groups of objects and count total Count on = Continue counting from a given number Counting on from larger number = Add numbers after the first Counting from the first number = Start addition at the first number</p> Signup and view all the answers

Which of the following statements describes the commutative property of addition?

<p>The sum remains the same regardless of the order of addends. (D)</p> Signup and view all the answers

The split method for addition allows you to break down numbers into parts for easier computation.

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

What happens to a number when zero is added to it?

<p>The number remains unchanged.</p> Signup and view all the answers

The language of subtraction that implies taking away is known as __________.

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

Match the following addition strategies with their descriptions:

<p>Split method = Break down numbers into parts. Jump method = Add in increments. Shortcut method = Adjust numbers for easier calculation. Mixed method = Combine various strategies for addition.</p> Signup and view all the answers

Which of the following is a characteristic of productive disposition in mathematics?

<p>Viewing math as beneficial (D)</p> Signup and view all the answers

Mathematical modeling emphasizes creativity over structure in solving problems.

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

What is the term for the ability to use logic to explain and understand mathematical thinking?

<p>Adaptive reasoning</p> Signup and view all the answers

An example of an embedded picture book in mathematics is __________.

<p>one that entertains while including mathematical ideas</p> Signup and view all the answers

Match the type of experience with its description that helps children count effectively:

<p>Classifying/Sorting = Grouping objects based on similarities Matching = Identifying equal and unequal sets Rote = Memorizing number names in order Rational = Connecting number names to actual sets of objects</p> Signup and view all the answers

Which of the following describes the concept of subitizing?

<p>Recognizing the number of items without counting (C)</p> Signup and view all the answers

The zero set concept includes representations of empty sets to demonstrate the absence of quantity.

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

Name one type of number operation included in 'sets and operations' strand.

<p>Addition or subtraction</p> Signup and view all the answers

Which property of multiplication states that the order of factors can be changed without affecting the product?

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

Any number multiplied by zero results in the same original number.

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

What is the result of using the jump method to subtract 85 - 58?

<p>27</p> Signup and view all the answers

The __________ property of multiplication states that the product remains the same when you multiply by one.

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

Match the following types of multiplication problems with their descriptions:

<p>Comparison problem = Involves comparing quantities using multiplication Repeated addition = Adding the same number multiple times Partitioning = Breaking down a multiplication problem into smaller parts Equal group context = Dividing into equal collections or groups</p> Signup and view all the answers

Which of the following is an example of the distributive property?

<p>5 x (3 + 2) = (5 x 3) + (5 x 2) (D)</p> Signup and view all the answers

The zero property means that any number multiplied by zero equals one.

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

How many goals did Alan score if Jill scored 24 goals, which is 6 more than Alan?

<p>18 (D)</p> Signup and view all the answers

Using the shortcut method, calculate 85 - 60 and state your answer.

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

A child receives more pizza slices if they choose 1/2 of a pizza over 1/3 of a pizza.

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

What is the simplified form of the fraction 6/9?

<p>2/3</p> Signup and view all the answers

To find an equivalent fraction, we can multiply or divide the numerator and denominator by the same ______.

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

Match the following fraction models with their descriptions:

<p>Area model = Using shapes to represent fractions visually Length model = Using a number line to represent fractions Set model = Using objects to show groups of items Measurement model = Using length to determine fractions of units</p> Signup and view all the answers

What is the result of adding the fractions $\frac{3}{8}$ and $\frac{2}{8}$?

<p>$\frac{5}{8}$ (D)</p> Signup and view all the answers

The fraction $\frac{1}{10}$ is equivalent to the decimal 0.01.

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

What is the result of subtracting $\frac{2}{3}$ from $\frac{3}{4}$?

<p>$\frac{1}{12}$</p> Signup and view all the answers

When multiplying fractions, the equation $\frac{3}{8} \times \frac{2}{8}$ equals __________.

<p>$\frac{6}{64}$</p> Signup and view all the answers

Match the following decimal representations with their fractional equivalents:

<p>0.1 = $\frac{1}{10}$ 0.25 = $\frac{1}{4}$ 0.5 = $\frac{1}{2}$ 0.01 = $\frac{1}{100}$</p> Signup and view all the answers

Which of the following is an example of recognizing numerals?

<p>Guess my number game (A)</p> Signup and view all the answers

Partitioning can refer to different ways to combine numbers to form a total.

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

What is the purpose of using games like bingo in counting activities?

<p>To help students enhance their number recognition and counting skills.</p> Signup and view all the answers

The first step in counting is to __________ groups of objects to find a total.

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

Match the following activities with their corresponding mathematical focus:

<p>Guess my shape = Recognizing numerals Building stairs with blocks = Ordering Story problems = Combining Number bonds = Partitioning</p> Signup and view all the answers

Which of the following describes procedural fluency?

<p>Using mathematical procedures effectively (C)</p> Signup and view all the answers

Embedded picture books primarily aim to teach math concepts directly.

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

What type of reasoning involves using logic to understand and explain mathematical thinking?

<p>Adaptive reasoning</p> Signup and view all the answers

One activity that can help develop number sense through games is __________.

<p>sneaky snake</p> Signup and view all the answers

Match the following types of experiences required by children to count effectively with their descriptions:

<p>Classifying/Sorting = Identifying common properties and similarities Subitising = Recognizing the number of items in a group without counting Rote = Reciting number names in a correct sequence Rational = Understanding object counts and number names in a set</p> Signup and view all the answers

Which of the following contributes to a productive disposition in mathematics?

<p>Seeing math as beneficial and useful (A)</p> Signup and view all the answers

The zero set can be demonstrated by showing an empty box of crayons.

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

What experience helps children understand relationships and similarities in counting?

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

What is the term used for the property that states the order of numbers does not affect the sum?

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

When using the split method, 46 + 38 can be calculated by separating the numbers into tens and ones.

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

What is the result of adding 0 to a number?

<p>The number remains unchanged.</p> Signup and view all the answers

The __________ method is a strategy where numbers are rounded to make estimation easier.

<p>front end</p> Signup and view all the answers

Match the addition strategies with their descriptions:

<p>Jump method = Starting from one number and adding with smaller increments Split method = Breaking numbers into parts for easier addition Short cut method = Adjusting one number to simplify the addition Mixed method = A combination of various addition strategies</p> Signup and view all the answers

What does the distributive property in multiplication signify?

<p>A number can be split into parts before multiplication. (D)</p> Signup and view all the answers

How many bags can be made with 24 apples if each bag contains 6 apples?

<p>4 bags (C)</p> Signup and view all the answers

The zero property of multiplication states that multiplying any number by zero gives a non-zero result.

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

The fraction 1/3 is larger than the fraction 1/2.

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

What is the result of using the shortcut method for 85 - 60?

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

If Jill scored 24 goals and scored 6 more than Alan, how many goals did Alan score?

<p>18</p> Signup and view all the answers

The commutative property states that the order of multiplication does not change the product, meaning ___ x ___ = ___ x ___.

<p>A, B, C, D</p> Signup and view all the answers

To simplify the fraction 6/9, divide both the numerator and the denominator by ______.

<p>3</p> Signup and view all the answers

Match the following multiplication properties with their definitions:

<p>Commutative = Order doesn't matter. Distributive = Breaking numbers into parts. Zero = Any number multiplied by zero equals zero. Identity = Any number multiplied by one is that number.</p> Signup and view all the answers

Which of the following methods can be used to estimate subtraction by rounding one number?

<p>Round only one number up. (D)</p> Signup and view all the answers

Repeated addition is one of the methods for understanding multiplication.

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

How would you express the multiplication problem 29 x 4 using the partitioning method?

<p>20 x 4 + 9 x 4</p> Signup and view all the answers

A fraction family consists of fractions that can have different denominators.

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

What fraction represents the decimal 0.01?

<p>1/100</p> Signup and view all the answers

$\frac{3}{8}$ divided by $\frac{1}{4}$ equals ______.

<p>$\frac{3}{2}$</p> Signup and view all the answers

Match the following fractions with their decimal equivalents:

<p>1/10 = 0.1 1/100 = 0.01 1/1000 = 0.001 1/4 = 0.25</p> Signup and view all the answers

Flashcards

Adaptive Reasoning

Using logic to explain or understand mathematical thinking.

Procedural Fluency

Using math procedures effectively.

Productive Disposition

Seeing math as useful and beneficial.

Strategic Competence

Skills for solving math problems.

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Explicit Picture Book

A picture book that directly teaches math concepts.

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Rote Counting

Reciting number names in order from memory.

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Subitizing

Recognizing the number of items in a group without counting.

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Zero Set

An empty set, representing the absence of items.

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Addition

Combining two or more numbers to find the total.

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Commutative property

The order of numbers in addition does not change the sum.

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Zero in addition

Adding zero to a number does not change the number.

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Addition strategies

Different ways to solve addition problems. Examples: split method, jump method, short cut method

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Subtraction types

Different types of subtraction problems. Examples: reduction, complementing, differences.

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Rational Counting

Counting objects in a logical order, one-by-one, ensuring each is counted only once.

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Comparing

Identifying similarities and differences between sets of objects based on size, weight, height, color, or properties.

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Ordinal Numbers

Numbers that show position or order (first, second, third, etc.).

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Counting On

A counting strategy of starting with a known number and counting forward to find a new total.

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Combining

Adding or putting together numbers and objects to find a total value.

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Fraction Model: Area

A model that uses shapes like paper folding, geoboards, or pattern blocks to represent parts of a whole.

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Fraction Model: Length

A model that uses a number line or fraction strips to represent parts of a whole.

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Fraction Model: Set

A model that uses a collection of objects like cubes or counters to represent parts of a whole.

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Comparing Fractions

Determining which fraction is larger or smaller by considering the size of the parts and the number of parts.

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Equivalent Fractions

Two fractions that represent the same amount, even though they may have different numerators and denominators.

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Subtraction Jump Method

A subtraction method that involves adding on to the smaller number until it reaches the larger number, calculating the difference in each step.

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Multiplication - Repeated Addition

Finding the product of two numbers by adding the first number to itself the second number of times.

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Multiplication - Commutative Property

The order of numbers being multiplied does not change the product.

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Multiplication - Distributive Property

Breaking down a multiplication problem into smaller, more manageable parts, then adding the partial products to get the total product.

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Multiplication - Zero Property

Any number multiplied by zero equals zero.

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Division - Equal Groups

Dividing a quantity into equal subgroups.

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Estimation - Rounding

Approximating numbers to get an idea of the answer when doing math.

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Multiplication - Partitioning

Breaking down one of the numbers into parts for easier multiplication calculations, then adding the partial products.

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Fraction Families

Fractions with the same denominator, like 1/4 and 3/4. They belong to the same 'family' because their pieces are the same size.

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Adding Fractions (different families)

When adding fractions with different denominators, you need to find a common denominator (same size pieces) before adding.

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Mixed Numbers

A number that combines a whole number and a fraction, like 3 1/2.

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Decimal Place Value

The position of a digit in a decimal number determines its value. 0.1 is one tenth, 0.01 is one hundredth, and 0.001 is one thousandth.

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Converting Fractions to Decimals

To convert fractions to decimals, you can find an equivalent fraction with a denominator of 10, 100, or 1000.

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Cognitive Challenging Tasks

Learning activities designed to stretch children's thinking and encourage deep engagement with mathematical concepts.

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Maths Talk

Encouraging students to verbally explain their mathematical thinking and reasoning.

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Number Sense

Understanding the relative size and relationships between numbers.

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Embedded Picture Books

Picture books that weave math concepts into the story's plot or setting.

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Perceived Picture Books

Picture books where math concepts are unintentional and found by the reader.

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Comparing Sets

Finding similarities and differences between groups of objects based on their size, weight, height, color, or properties.

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Matching Sets and Numerals

Connecting a group of objects with the corresponding number symbol.

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Ordering Numbers

Arranging numbers in a sequence from smallest to largest or vice versa.

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Combining Numbers

Adding or putting together numbers and objects to find a total value.

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Addition Properties of Zero

Adding zero to any number does not change the number. For example, 5 + 0 = 5.

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Commutative Property of Addition

The order of numbers in an addition problem does not change the sum. 3 + 4 = 4 + 3.

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Subtraction: Reduction

Taking away a part from a whole. For example, if you have 7 apples and eat 2, you have 5 left.

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Subtraction: Complementing

Finding the difference between a given amount and a target amount. Example: I have 3 cookies, how many more do I need to have 5?

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Subtraction: Differences

Finding the difference between two numbers. For example, the difference between 8 and 5 is 3.

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Same Fraction Family

Fractions with the same denominator. Example: 1/4 and 3/4.

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Different Fraction Families

Fractions with different denominators. Example: 1/4 and 2/3. To add them, find a common denominator.

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Fraction Wall

A visual tool for learning about fractions. It shows fractions as parts of a whole, with each row representing a different fraction.

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Area Model for Fractions

A visual representation of fractions using shapes like squares or circles, divided into equal parts. This model helps children understand how fractions represent parts of a whole.

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Length Model for Fractions

Using a number line or fraction strips to represent fractions. This model emphasizes fractions as part of a whole unit and their relative positions.

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Set Model for Fractions

Using a collection of objects, like counters or blocks, to represent fractions. This model focuses on representing fractions as a part of a group.

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Impact of Unit Size in Fractions

The size of the whole unit affects the value of a fraction. A bigger unit means smaller fractions, while a smaller unit means larger fractions.

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Comparing Fractions with Benchmarks

Using common benchmarks like 0, 1/2, and 1 to compare fractions. This helps visualize their relative size and determine which is bigger or smaller.

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Jump Method (Subtraction)

A subtraction method that involves adding to the smaller number until you reach the larger number. You then add up the amounts you added to find the difference.

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Split Method (Subtraction)

A subtraction method where you break down the numbers into easier parts and subtract them separately, then combine the results.

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Rounding Up All Numbers (Estimation)

A strategy for estimating where you round all numbers up to the next ten or hundred.

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Rounding One Number (Estimation)

A strategy for estimating where you round only one number up or down to make the calculation easier.

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Commutative Property (Multiplication)

The order in which you multiply numbers doesn't change the result. 4 x 3 is the same as 3 x 4.

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Distributive Property (Multiplication)

A strategy for multiplying by breaking down a larger number into smaller parts, multiplying each part, and then adding the results.

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Zero Property (Multiplication)

Any number multiplied by zero always equals zero.

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Identity Property (Multiplication)

Any number multiplied by one equals itself. 3 x 1 = 3

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Classifying/Sorting

Grouping objects based on common properties like size, color, or shape.

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Matching

Finding pairs of objects that are the same or have a specific relationship.

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Addition language

Words used to describe adding numbers together, such as 'sum of,' 'add,' 'combine,' 'together,' 'total,' 'increase,' and 'sum of.'

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Split method (addition)

A strategy for adding two numbers by breaking them into tens and ones, adding the tens together, adding the ones together, and then combining the results.

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Transition board

A visual aid that helps understand place value during adding or subtracting. It shows how numbers change position as we regroup or borrow.

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Subtraction Split Method

A subtraction strategy where you break the numbers into easier parts, subtract them separately, and then combine the results.

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Estimation: Rounding Numbers

Approximating numbers to the nearest ten, hundred, etc. to make calculations easier.

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Partitioning (Fair Share)

Dividing a total into equal groups when the group size is unknown. For example, sharing 24 apples evenly among 4 friends.

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Measurement (Known Group Size)

Dividing a total into equal groups when the group size is known. For example, putting 24 apples into bags that hold 6 apples each.

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Multiplicative Comparison

Comparing two quantities where one quantity is a multiple of the other. For example, if Jill scored 24 goals, and that's 6 more than Alan, you find Alan's score.

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Study Notes

Maths Pedagogical Practices

  • Using cognitively challenging tasks
  • Fostering productive mathematical dispositions
  • Promoting mathematical discussions
  • Encouraging playful approaches
  • Emphasising mathematical modelling

Maths Proficiencies

  • Adaptive reasoning: Using logic to understand and explain mathematical thinking
  • Procedural fluency: Using mathematical procedures effectively
  • Productive disposition: Viewing mathematics as useful and beneficial
  • Strategic competence: Developing skills to solve mathematical problems
  • Conceptual understanding: Comprehending mathematical concepts

Types of Picture Books

  • Explicit: Explicitly teaches mathematical concepts
  • Embedded: Entertains while portraying mathematical ideas
  • Perceived: Entertains and includes incidental mathematical concepts

Number Strand Units

  • Uses of Number
  • Numeration and Counting
  • Place Value and Base Ten
  • Sets and Operations- problems involving change (join/separate), part-part-whole and comparison (e.g., 3 tigers and 2 more come)

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Test your knowledge on effective math pedagogical practices and proficiencies. Explore different types of picture books and their roles in teaching math concepts. This quiz covers key areas that enhance mathematical understanding and skills.

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