Mathematical process standards | eTAP Lesson |
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The student uses mathematical processes to acquire and demonstrate mathematical understanding. | |
Apply mathematics to problems arising in everyday life, society, and the workplace
TX.MATH.111.9.1.A |
Variable Equations in Word Problems |
The student uses mathematical processes to acquire and demonstrate mathematical understanding. | |
Create and use representations to organize, record, and communicate mathematical ideas
TX.MATH.111.9.1.E |
Equations with Unknowns |
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
TX.MATH.111.9.1.B |
Word Problems of Ratios & Rates |
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems
TX.MATH.111.9.1.C |
Word Problems of Ratios & Rates Variable Equations in Word Problems |
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
TX.MATH.111.9.1.D |
Probability Data Plots |
Analyze mathematical relationships to connect and communicate mathematical ideas
TX.MATH.111.9.1.F |
Expressing More Relationships Between Numbers |
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
TX.MATH.111.9.1.G |
Historical Beginnings |
Number and operations | eTAP Lesson |
The student applies mathematical process standards to represent and use rational numbers in a variety of forms. | |
The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.
TX.MATH.111.9.2 |
Expressing More Relationships Between Numbers |
The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. | |
Add, subtract, multiply, and divide rational numbers fluently
TX.MATH.111.9.3.A |
Addition & Subtraction Multiplication and Division with Positive and Negative Numbers |
Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
TX.MATH.111.9.3.B |
Addition & Subtraction Multiplication and Division with Positive and Negative Numbers |
Proportionality | eTAP Lesson |
The student applies mathematical process standards to represent and solve problems involving proportional relationships. | |
Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt
TX.MATH.111.9.4.A |
Ratios & Rates |
Calculate unit rates from rates in mathematical and real-world problems
TX.MATH.111.9.4.B |
The Branches of Mathematics |
Determine the constant of proportionality (k = y/x) within mathematical and real-world problems
TX.MATH.111.9.4.C |
Ratio Concept & Language |
Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems
TX.MATH.111.9.4.D |
Percent, Decimals & Fractions |
Convert between measurement systems, including the use of proportions and the use of unit rates
TX.MATH.111.9.4.E |
Measurement Conversions |
The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. | |
Represent linear proportional situations with tables, graphs, and equations in the form of y = kx
TX.MATH.111.9.5.A |
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The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions | |
Represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0
TX.MATH.111.9.5.B |
Ratio Concept & Language |
The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. | |
Contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation
TX.MATH.111.9.5.C |
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The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. | |
Select and use different simulations to represent simple and compound events with and without technology
TX.MATH.111.9.6.B |
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Make predictions and determine solutions using experimental data for simple and compound events
TX.MATH.111.9.6.C |
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Use data from a random sample to make inferences about a population
TX.MATH.111.9.6.F |
Variability |
Make predictions and determine solutions using theoretical probability for simple and compound events
TX.MATH.111.9.6.D |
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The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships | |
Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents
TX.MATH.111.9.6.G |
Probability Data Plots |
Solve problems using qualitative and quantitative predictions and comparisons from simple experiments
TX.MATH.111.9.6.H |
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The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. | |
Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces
TX.MATH.111.9.6.I |
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Find the probabilities of a simple event and its complement and describe the relationship between the two
TX.MATH.111.9.6.E |
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Represent sample spaces for simple and compound events using lists and tree diagrams
TX.MATH.111.9.6.A |
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Expressions, equations, and relationships | eTAP Lesson |
The student applies mathematical process standards to represent linear relationships using multiple representations. | |
The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b
TX.MATH.111.9.7 |
Patterns & Relationships |
The student applies mathematical process standards to develop geometric relationships with volume. | |
Model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas
TX.MATH.111.9.8.A |
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The student applies mathematical process standards to represent linear relationships using multiple representations | |
Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas
TX.MATH.111.9.8.B |
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Two-dimensional shapes | eTAP Lesson |
The student applies mathematical process standards to develop transformational geometry concepts. | |
Differentiate between transformations that preserve congruence and those that do not
TX.MATH.111.9.10.B |
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Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane
TX.MATH.111.9.10.A |
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The student applies mathematical process standards to develop transformational geometry concepts | |
Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation
TX.MATH.111.9.10.C |
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Measurement and data | eTAP Lesson |
The student applies mathematical process standards to use statistical procedures to describe data | |
Construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data
TX.MATH.111.9.11.A |
Graphing in One Quadrant |
The student applies mathematical process standards to use statistical procedures to describe data. | |
Determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points
TX.MATH.111.9.11.B |
Distribution Centers and Variation |
The student applies mathematical process standards to use statistical procedures to describe data | |
Simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected
TX.MATH.111.9.11.C |
Variability |
Personal financial literacy | eTAP Lesson |
The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor | |
Solve real-world problems comparing how interest rate and loan length affect the cost of credit
TX.MATH.111.9.12.A |
Interest Rate and Loan Length |
Calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator
TX.MATH.111.9.12.B |
Interest Rate and Loan Length |
The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. | |
Explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time
TX.MATH.111.9.12.C |
Interest Rate and Loan Length |
Calculate and compare simple interest and compound interest earnings
TX.MATH.111.9.12.D |
Interest Rate and Loan Length |
Identify and explain the advantages and disadvantages of different payment methods
TX.MATH.111.9.12.E |
Different Payment Methods |
Analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility
TX.MATH.111.9.12.F |
Financially Responsible Decisions |
The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor | |
Estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college
TX.MATH.111.9.12.G |
Estimate the Cost of a College Education |