# Pdf georgia assessments for the certification of educators

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Title: GACE Crosswalk of Program Admission Mathematics to Khan Academy Videos

Subject: GACE Crosswalk of Program Admission Mathematics to Khan Academy Videos

Keywords: GACE Crosswalk of Program Admission Mathematics to Khan Academy Videos

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Georgia Assessments for the Certification of Educators? (GACE?) Program Admission Assessment - Test II

Mathematics

Khan Academy Instructional Support Videos and Exercises

The Georgia Assessments for the Certification of Educators? (GACE?) program has identified videos and exercises available at

to support test preparation for the Program Admission Assessment - Test II Mathematics. Each subarea included

in the test is mapped to a video or exercise that may help you prepare to answer questions related to that topic.

GACE Program Admission - Test II Mathematics (201) Khan Academy videos

Subarea I: Number and Quantity

? Ratios and Proportional Relationships

Intro to ratios

- Understand ratio concepts and use ratio reasoning Ratio word problems

to solve problems Intro to rates

Ratio word problem: centimeters to kilometers

Intro to percents

Percent, fraction, decimal conversions

Percent problems

- Analyze proportional relationships and use them to Percent word problems

solve real-world and mathematical problems Identifying proportional relationships

Average rate of change

Average rate of change word problems

Writing & solving proportions

Page 1 of 10

Writing & solving proportions

? The Real Number System

Fractions intro

Fractions on the number line

Equivalent fractions

Comparing fractions

Common denominators

Decomposing fractions

Adding and subtracting fractions with like denominators

Mixed numbers

Adding and subtracting fractions with unlike denominators

Adding and subtracting mixed number with unlike denominators

- Apply understanding of multiplication and division Adding and subtracting fractions word problems

to divide fractions by fractions Multiplying whole numbers and fractions

Multiplication as scaling

Multiplying fractions

Multiplying mixed numbers

Multiplying fractions word problems

Fractions as division

Dividing unit fractions and whole numbers

Dividing fractions by fractions

Dividing fractions word problems

Fractions

Place value

- Compute fluently with multi-digit numbers and find Rounding whole numbers

common factors and multiples Regrouping whole numbers

Divisibility tests

Factors and multiples

Prime numbers

Prime factorization

Least common multiple

Greatest common factor

Page 2 of 10

Intro to decimals

Decimals on the number line

Rounding decimals

Comparing decimals

Rewriting decimals as fractions

Adding decimals

Subtracting decimal

Adding and subtracting decimals word problems

Multiplying decimals

Dividing decimals

Operations with decimals

Intro to negative numbers

Order negative numbers

Number opposites

Negative numbers

Intro to adding negative numbers

Intro to subtracting negative numbers

Adding & subtracting negative numbers

Multiplying & dividing negative numbers

Absolute value

Decimals, fractions and percentages

Order of operations

- Apply understanding of operations with fractions to Arithmetic properties

add, subtract, multiply, and divide rational numbers Distributive property

Number patterns

- Know that there are numbers that are not rational, Rational and irrational numbers

and approximate them by rational numbers

Exponents

Square roots

Cube roots

- Work with radicals and integer exponents Exponent properties

Negative exponents

Scientific notation

Orders of magnitude

Page 3 of 10

Computing with scientific notation

Negative exponents

Exponent properties

Scientific notation intro

Scientific notation word problems

? Quantities

Intro to dimensional analysis

- Reason quantitatively and use units to solve Dimensional analysis for converting

problems Dimensional analysis for proportional reasoning

Word problems with multiple units

Determining precision in descriptive modeling

Subarea II: Algebra and Functions

? See Structure in Expressions

Intro to variables

Introduction to variables

Substitution & evaluating expressions

Substitution & evaluating expressions

Expression value intuition

Constructing numeric expressions

- Apply understanding of arithmetic to algebraic Evaluating expressions word problems

expressions Introduction to sequences

Introduction to arithmetic sequences

Constructing arithmetic sequences

Introduction to geometric sequences

Constructing geometric sequences

Modeling with sequences

Writing algebraic expressions introduction

- Solve real-life and mathematical problems using Writing basic algebraic expressions word problems

numerical and algebraic expressions Writing algebraic expressions

Page 4 of 10

Combining like terms

Distributive property

Equivalent algebraic expressions

- Use properties of operations to generate equivalent Nested fractions

expressions Adding & subtracting polynomials

Multiplying binomials

Special products of binomials

? Reasoning with Equations and Inequalities

Slope

Slope-intercept form intro

Writing slope-intercept equations

- Understand the connections between proportional Interpreting linear functions and equations

relationships, lines, and linear equations Comparing linear functions

Constructing linear models for real-world relationships

Linear models word problems

Graphing proportional relationships

- Understand solving equations as a process of Algebraic equations basics

reasoning and explain the reasoning One-step equations intuition

One-step addition & subtraction equations

One-step multiplication and division equations

- Reason about and solve one-variable equations and One-step equations

inequalities One-step equation word problems

Inequalities: Greater than and less than basics

One-step inequalities

Two-step equations intro

Multi-step equations

Two-step inequalities

- Solve equations and inequalities in one variable Multi-step inequalities

Solutions to two-variable linear equations

Linear equations with unknown coefficients

Compound inequalities

Page 5 of 10

Coordinate plane

Solutions to two-variable linear equations

x-intercepts and y-intercepts

- Analyze and solve linear equations and pairs of Systems of equations intro

simultaneous linear equations Graphical representation of systems of equations

Elimination method for systems of equations

Substitution method for systems of equations

Solving any system of linear equations

Graphing two-variable inequalities

- Represent and solve equations and inequalities Point-slope form

graphically Standard form

? Functions

Introduction to functions

Evaluating functions

Inputs and outputs of a function

- Interpreting Functions Functions and equations

Interpreting function notation

Introduction to the domain and range of a function

Determining the domain of a function

Recognizing functions

Intervals where a function is positive, negative, increasing, or

- Building Functions decreasing

Interpreting features of graphs

Subarea III: Geometry

? Congruence

- Draw, construct, and describe geometrical figures Lines, line segments, and rays

and describe the relationships between them Measuring segments

Page 6 of 10

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