Praxis Core Math 5733 | Live | Kathleen Jasper

Kathleen Jasper
22 Jul 202063:35
EducationalLearning
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TLDRThe video script is a comprehensive webinar on Praxis Core 5733 Math, aimed at preparing individuals for the Praxis Core Math exam. The presenter, Kathleen Jasper, guides viewers through the structure of the exam, which is divided into three main areas: numbers and quantity, data probability and statistics, and algebra and geometry. She emphasizes the importance of understanding these areas as they are evenly distributed throughout the test. The webinar covers a variety of problems from the provided handout, illustrating how to approach different types of questions, including place value, percentages, and interpreting data from graphs. Jasper also discusses the use of online calculators for the exam and provides strategies for solving problems efficiently. She explains concepts such as strong and weak correlations in scatter plots, setting up proportions for probability questions, and simplifying algebraic expressions. The webinar concludes with a geometry problem, demonstrating how to use the properties of parallel lines to find unknown angles. Throughout the presentation, Jasper encourages viewers to engage with the material, check their work, and practice using the online calculator to prepare for the exam.

Takeaways
  • ๐Ÿ“š The webinar covers Praxis Core 5733, focusing on three areas: numbers and quantity, data probability and stats, and algebra and geometry.
  • ๐Ÿ“ˆ The number and quantity section includes a variety of problems from simple to complex, such as identifying digits in a place value or calculating percentage changes.
  • ๐Ÿค” To solve problems, start by analyzing the answer choices and question stem to understand the type of question and what is being asked.
  • ๐Ÿ“‰ For data probability and statistics, expect questions that involve percentages and may overlap with number and quantity, such as pie charts and scatter plots.
  • ๐Ÿ“Š When dealing with pie charts, always remember that the whole graph equals 100%, and pay attention to the segments and their percentages.
  • ๐Ÿ“ˆ Scatter plots show correlation, not causation, and can be identified as having strong or weak positive or negative correlations.
  • ๐Ÿงฎ For Praxis Core exams, an online calculator must be used instead of a handheld calculator, so it's important to practice with the online tool.
  • ๐Ÿ”ข In algebra and geometry, understanding exponent rules is crucial, such as adding exponents when multiplying and subtracting them when dividing.
  • โœ… 'Choose all that apply' questions require careful consideration as they can carry more points and require identifying all correct answers.
  • ๐Ÿ’ก Inequalities can be simplified by looking at the answer choices and understanding the context, such as spending a certain amount of money.
  • ๐Ÿ“ Geometry problems, even those that appear complex, can often be solved by applying basic principles such as parallel lines and corresponding angles.
  • ๐Ÿ“ For proportion problems, setting up a proportion with the known values and solving for the unknown can be an effective strategy.
Q & A
  • What is the main topic of the webinar?

    -The main topic of the webinar is Praxis Core 5733, which focuses on the math section of the Praxis Core exam.

  • How many problems are covered in the webinar?

    -The webinar covers about 11 problems from the handout provided to the attendees.

  • What are the three areas of the Praxis Core Math exam?

    -The three areas of the Praxis Core Math exam are Numbers and Quantity, Data Probability and Statistics, and Algebra and Geometry.

  • What is the significance of the number 345,678.012 when multiplied by 100?

    -When the number 345,678.012 is multiplied by 100, the digit in the ten thousands place becomes 6.

  • How does the population of manatees in Florida's waterways change from 2012 to 2019 according to the handout?

    -The population of manatees in Florida's waterways increased from approximately 6,550 in 2012 to 8,750 in 2019.

  • What is the percentage increase in the number of manatees from 2012 to 2019?

    -The percentage increase in the number of manatees from 2012 to 2019 is 33.6%.

  • What type of calculator is recommended for practice when preparing for the Praxis Core exam?

    -An online calculator is recommended for practice, as handheld calculators are not allowed during the Praxis Core exam.

  • What is the key to solving the problem involving the scale of a model statue to the actual statue?

    -The key to solving the problem is to set up a proportion based on the scale ratio and then solve for the unknown height of the actual statue.

  • How many questions are there in the Data, Probability and Statistics section of the Praxis Core Math exam?

    -There are about 18 questions in the Data, Probability and Statistics section of the Praxis Core Math exam.

  • What is the role of the number and quantity in the context of a data probability and stats question?

    -In the context of a data probability and stats question, number and quantity can be assessed as it involves dealing with percentages and other numerical values.

  • What is the strategy for solving a problem with a scatter plot graph in the exam?

    -The strategy involves identifying the direction of the correlation (positive or negative), determining if the correlation is strong or weak based on the pattern and tightness of the dots, and then choosing the answer that reflects a correct correlation without implying causation.

  • What is the algebraic method used to express 'a' in terms of 'b' in the given equation 2a + 5b = 8?

    -To express 'a' in terms of 'b', you need to isolate 'a' on one side of the equation. This is done by subtracting 5b from both sides and then dividing by 2, resulting in the expression for 'a' in terms of 'b'.

  • How can you quickly eliminate incorrect answer choices in a problem involving inequalities and a limited budget?

    -You can quickly eliminate incorrect answer choices by looking for inequality signs that do not match the condition of the problem, such as spending no more than a certain amount of money.

Outlines
00:00
๐Ÿ˜€ Introduction to Praxis Core Math Webinar

Kathleen Jasper welcomes attendees to the Praxis Core Math webinar, instructing them to check their email for handouts. She outlines the structure of the Praxis Core Math exam, covering numbers and quantity, data probability and statistics, and algebra and geometry, with an emphasis on the broad range of topics within number and quantity.

05:02
๐Ÿ“ˆ Solving Percentage Increase Problems

The presenter demonstrates how to approach a percentage increase problem involving manatee populations. She emphasizes the importance of understanding whether the change is an increase or decrease and calculating the percentage change based on the original population. The solution process involves subtracting the initial population from the final population, dividing by the initial population, and expressing the result as a percentage.

10:03
๐Ÿ“Š Data Probability and Stats with Pie Charts

The focus shifts to data probability and statistics, particularly interpreting pie charts. Kathleen advises on the use of online calculators for Praxis Core exams and explains how to calculate the number of students choosing photography as an elective from a given percentage. She also discusses the importance of understanding the difference between percentages and actual counts.

15:04
๐Ÿ“‰ Scatter Plots and Correlations

Kathleen introduces scatter plot graphs and explains how to identify correlations. She differentiates between strong and weak correlations and between positive and negative correlations. The presenter provides strategies for eliminating incorrect answer choices based on the pattern and direction of the data points in the scatter plot.

20:05
๐Ÿ” Interpreting Scatter Plots with Exercise and Weight Loss

The presenter discusses how to interpret a scatter plot that shows the relationship between hours exercised and weight lost. She clarifies that the correlation is positive, as more exercise correlates with more weight lost, and demonstrates how to eliminate incorrect answer choices by understanding the concept of correlation rather than causation.

25:06
๐Ÿงฎ Eliminating Answer Choices with Algebra

Kathleen teaches a method for solving algebraic problems by eliminating answer choices that do not fit the given conditions. She uses the example of slope-intercept form and demonstrates how to identify the correct answer by eliminating negative slopes and strong correlations that do not match the scatter plot data.

30:06
๐Ÿ“ Proportions and Scale Models in Geometry

The presenter solves a geometry problem involving scale models and proportions. She uses the given scale ratio to find the height of an actual statue, given the dimensions of a model statue, by setting up a proportion and solving for the unknown height.

35:07
๐ŸŽฏ Probability and Calculating the Number of Yellow Squares

Kathleen approaches a probability problem where the goal is to find the number of yellow squares in a bag. She uses the given probability of selecting a yellow square and sets up a proportion to find the solution, emphasizing the importance of understanding the total number of squares and the concept of a reduced probability.

40:08
๐Ÿ“ Algebra: Simplifying Expressions and Solving for Variables

The presenter simplifies algebraic expressions to find equivalent forms of '4a squared'. She carefully examines each option, applying rules of exponents to determine which expressions are equivalent. Kathleen also demonstrates how to solve for a variable in terms of another, using algebraic manipulation.

45:08
๐Ÿ”ข Inequalities and Algebraic Strategies

Kathleen shows how to solve inequality problems by using answer choices to eliminate incorrect options. She emphasizes the importance of understanding the inequality signs and how they relate to the problem's constraints, such as spending a maximum of $300. The presenter also explains how to isolate variables in an equation to express one in terms of another.

50:09
๐Ÿ— Geometry: Solving for Angles in Parallel Lines

The presenter tackles a geometry problem involving parallel lines and angle measurements. She uses the properties of parallel lines to find the value of an unknown angle, demonstrating the concept of equal opposite interior angles and how to set up and solve a simple equation to find the angle's measure.

Mindmap
Keywords
๐Ÿ’กPlace Value
Place value is the position a digit holds in a number, which determines its value. In the script, it is used to solve a problem involving the multiplication of a number by 100 and identifying the digit that moves to the ten thousands place. The concept is fundamental to understanding how numbers are constructed and how mathematical operations can shift the place value of digits within a number.
๐Ÿ’กPercentage Increase
A percentage increase represents the proportional growth of a quantity. In the video, the calculation of the percentage increase in the number of manatees from 2012 to 2019 is discussed. The script demonstrates how to find the difference between two numbers and then use that difference to calculate the percentage increase over the initial number, which is a key concept in statistics and data analysis.
๐Ÿ’กData Probability and Statistics
Data probability and statistics involve the analysis and interpretation of data to understand the likelihood of certain outcomes or to draw inferences. The script covers this concept through the use of a pie chart representing student preferences and a scatter plot graph showing the correlation between exercise and weight loss. These tools are essential for making informed decisions based on data.
๐Ÿ’กAlgebra and Geometry
Algebra and geometry are branches of mathematics. Algebra involves the use of symbols and the manipulation of these symbols to solve equations, while geometry is concerned with the properties and relationships of points, lines, angles, surfaces, and solids. In the script, algebra is used to simplify expressions and solve for variables, and geometry is used to determine angles in a parallel lines context. These areas are crucial for the Praxis Core Math exam as they test a candidate's ability to apply mathematical rules and theorems.
๐Ÿ’กCalculator Usage
The use of calculators is a practical skill within mathematical problem-solving. The script specifies that for the Praxis Core exam, a handheld calculator is not permitted, and an online calculator must be used instead. This highlights the importance of being comfortable with different calculation tools and the need to practice with the tools that will be available during the exam.
๐Ÿ’กCorrelation
Correlation refers to a statistical relationship between two variables that measures the extent to which they move in relation to each other. In the script, the concept is used to analyze a scatter plot graph, where a weak positive correlation is identified between hours exercised and weight lost. Understanding correlation is vital for interpreting data trends and making statistical inferences.
๐Ÿ’กProportion
A proportion is a mathematical statement that two ratios are equal. In the context of the video, a proportion is used to solve a problem involving the scale of a model statue to the actual statue. The script demonstrates how to set up and solve a proportion to find the unknown quantity, which is a fundamental skill in mathematics and problem-solving.
๐Ÿ’กExponents
Exponents are used to indicate the number of times a base is multiplied by itself. In the script, exponents are discussed in the context of simplifying algebraic expressions and identifying equivalent expressions to a given exponent form. The rules of exponents, such as multiplication and division of powers with the same base, are essential for algebraic manipulation and solving equations.
๐Ÿ’กInequalities
Inequalities are mathematical expressions that show the relationship between values that are not equal, using symbols such as 'less than' or 'greater than'. The script provides a strategy for solving inequality problems by focusing on the inequality sign and eliminating answer choices that do not fit the given constraints. Inequalities are important in a variety of mathematical contexts, including optimization and problem-solving.
๐Ÿ’กParallel Lines
Parallel lines are two lines in a plane that do not intersect or touch each other at any point. In the script, the concept of parallel lines is used to solve a geometry problem involving angles. The property that opposite interior angles are equal when a transversal intersects parallel lines is utilized to find the value of an unknown angle. This is a fundamental theorem in geometry that helps in solving for unknowns in geometric figures.
๐Ÿ’กCombining Like Terms
Combining like terms is a process in algebra where you add or subtract terms that have the same variable raised to the same power. In the script, it is mentioned in the context of simplifying algebraic expressions. The ability to combine like terms is crucial for reducing complex expressions to simpler forms and is a basic skill in algebra.
Highlights

Kathleen Jasper introduces the Praxis Core 5733 Math webinar, covering 11 problems from the handout.

The webinar covers all three areas of the Praxis Core Math exam: numbers and quantity, data probability and stats, and algebra and geometry.

Number and quantity can range from simple number line problems to complex percentage calculations.

Data probability and statistics section often overlaps with number and quantity, especially when dealing with percentages.

A step-by-step solution to a place value question is demonstrated, emphasizing the importance of understanding place value.

The webinar explains how to calculate percentage increase or decrease with an example using manatee population data.

The importance of using the online calculator for Praxis Core practice is stressed, as handheld calculators are not allowed during the exam.

Data probability and statistics section includes interpreting pie charts and understanding how to calculate percentages of a total.

Scatter plot graphs are introduced with tips on identifying correlation strength and direction.

A method for solving proportion problems, such as scaling from a model to an actual statue, is explained using cross-multiplication.

Probability problems can be solved by setting up proportions and solving for the unknown part, as shown with the example of yellow squares in a bag.

The webinar presents a strategy for solving 'choose all that apply' questions by understanding the exponent rules.

A hack for solving inequalities by looking at the answer choices first is demonstrated, showing how to eliminate incorrect options.

Isolating variables in algebraic expressions is made easier by understanding the structure of the answer choices.

A geometry problem involving parallel lines is simplified by using the property of equal opposite interior angles.

The webinar emphasizes the importance of knowing how to manipulate algebraic expressions to fit the format of the answer choices.

Praxis Core Math exam strategies are provided to help candidates navigate the test's format and content effectively.

Transcripts
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