D699 WGU | 161 QUESTIONS | 2025/26 WITH
COMPLETE SOLUTIONS.
standard clusters Answer - groups of related standards within a domain that
share common themes or skills-group related standards together, focusing on
specific aspects of the domain
3 steps to unpacking standards Answer - 1. identify the content
2. understand the skill
3. clarify the expectation
content standards Answer - also known as academic standards or curriculum
standards, outline the specific knowledge, skills, and concepts that students are
expected to master at a particular grade level or course
process standards Answer - guidelines focusing on the methods and skills
students should use to acquire and apply knowledge
standard domains Answer - broad categories that group related standards by
topic or concept
Who has the authority to select and adapt mathematics standards? Answer -
State governments are responsible for selecting and adapting mathematics
standards to fit their educational requirements
types of resources to support math instruction Answer - 1. math manipulatives
(base ten blocks, fraction tiles for tactile experiences)
,2.digital programs (interactive and exploration, adaptive learning according to
needs)
3. group activities (collaboration for peer interaction & collective problem
solving skills)
5 strands of math proficiency Answer - 1. concepts: understanding
fundamental principles and ideas in mathematics.
2. procedures: fluency in performing mathematical operations and techniques.
3. strategies: applying various methods to solve problems effectively.
4. reasoning: making logical connections and justifying mathematical thinking.
5. disposition: maintaining a positive attitude and perseverance in learning
math.
implementation in the classroom Answer - 1. math models (geoboards, pattern
blocks, fraction circles)
2. tech integration (graphing calculators, math apps, online sims)
3. formative assessment tools
4. differentiated instruction strategies
base-ten system Answer - number system using 10 as the base where each
digits place represent a power of 10 or decimal system
- each digit in a number has a place value based on its position relative to
decimal point
how to reinforce place value Answer - visuals & hands-on
- Base-ten blocks and number lines for helping students see the relationships
between different place values
, ex: showing how numbers are spaced and ordered on a number line can help
make the abstract idea of scaling in the base-ten system more concrete and
understandable for students
standard form Answer - writing numbers in a simplified format, typically with
digits and a decimal point: 36.25
expanded form Answer - write a number as the sum of each digit multiplied by
its place value: 30 + 6 + 0.2 + 0.05
factors Answer - numbers that divide into another number without leaving a
remainder
multiples Answer - products of a number and an integer (whole number)
prime numbers Answer - a number greater than 1 with only two factors: 1 and
itself
ex: 2, 3, 5, 7, and 11.
composite numbers Answer - these numbers are divisible by more than just
one and themselves
ex: 4, 6, 8, 9, and 12 are composite numbers evenly divided by other numbers
in addition to 1 and the number itself
rational numbers Answer - number that can be expressed as a fraction
distributive property Answer - the principle that multiplying a number by a
sum is the same as multiplying each addend individually and then adding the
results (e.g., a * (b + c) = a * b + a * c) breaks down equations into smaller
parts.
COMPLETE SOLUTIONS.
standard clusters Answer - groups of related standards within a domain that
share common themes or skills-group related standards together, focusing on
specific aspects of the domain
3 steps to unpacking standards Answer - 1. identify the content
2. understand the skill
3. clarify the expectation
content standards Answer - also known as academic standards or curriculum
standards, outline the specific knowledge, skills, and concepts that students are
expected to master at a particular grade level or course
process standards Answer - guidelines focusing on the methods and skills
students should use to acquire and apply knowledge
standard domains Answer - broad categories that group related standards by
topic or concept
Who has the authority to select and adapt mathematics standards? Answer -
State governments are responsible for selecting and adapting mathematics
standards to fit their educational requirements
types of resources to support math instruction Answer - 1. math manipulatives
(base ten blocks, fraction tiles for tactile experiences)
,2.digital programs (interactive and exploration, adaptive learning according to
needs)
3. group activities (collaboration for peer interaction & collective problem
solving skills)
5 strands of math proficiency Answer - 1. concepts: understanding
fundamental principles and ideas in mathematics.
2. procedures: fluency in performing mathematical operations and techniques.
3. strategies: applying various methods to solve problems effectively.
4. reasoning: making logical connections and justifying mathematical thinking.
5. disposition: maintaining a positive attitude and perseverance in learning
math.
implementation in the classroom Answer - 1. math models (geoboards, pattern
blocks, fraction circles)
2. tech integration (graphing calculators, math apps, online sims)
3. formative assessment tools
4. differentiated instruction strategies
base-ten system Answer - number system using 10 as the base where each
digits place represent a power of 10 or decimal system
- each digit in a number has a place value based on its position relative to
decimal point
how to reinforce place value Answer - visuals & hands-on
- Base-ten blocks and number lines for helping students see the relationships
between different place values
, ex: showing how numbers are spaced and ordered on a number line can help
make the abstract idea of scaling in the base-ten system more concrete and
understandable for students
standard form Answer - writing numbers in a simplified format, typically with
digits and a decimal point: 36.25
expanded form Answer - write a number as the sum of each digit multiplied by
its place value: 30 + 6 + 0.2 + 0.05
factors Answer - numbers that divide into another number without leaving a
remainder
multiples Answer - products of a number and an integer (whole number)
prime numbers Answer - a number greater than 1 with only two factors: 1 and
itself
ex: 2, 3, 5, 7, and 11.
composite numbers Answer - these numbers are divisible by more than just
one and themselves
ex: 4, 6, 8, 9, and 12 are composite numbers evenly divided by other numbers
in addition to 1 and the number itself
rational numbers Answer - number that can be expressed as a fraction
distributive property Answer - the principle that multiplying a number by a
sum is the same as multiplying each addend individually and then adding the
results (e.g., a * (b + c) = a * b + a * c) breaks down equations into smaller
parts.
