Grade 7
Other Texas Mathematics sets
Other Texas Mathematics sets
Mathematical process standards
- 1.
The student uses mathematical processes to acquire and demonstrate mathematical understanding7.1
- (A)
apply mathematics to problems arising in everyday life, society, and the workplace7.1.A
- (B)
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 solution7.1.B
- (C)
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 problems7.1.C
- (D)
communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate7.1.D
- (E)
create and use representations to organize, record, and communicate mathematical ideas7.1.E
- (F)
analyze mathematical relationships to connect and communicate mathematical ideas7.1.F
- (G)
display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication7.1.G
Number and operations7.2
- 2.
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 numbers7.2
- (3)
The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions7.3
- (A)
add, subtract, multiply, and divide rational numbers fluently7.3.A
- (B)
apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers7.3.B
Proportionality
- 4.
The student applies mathematical process standards to represent and solve problems involving proportional relationships7.4
- (A)
represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt7.4.A
- (B)
calculate unit rates from rates in mathematical and real-world problems7.4.B
- (C)
determine the constant of proportionality (k = y/x) within mathematical and real-world problems7.4.C
- (D)
solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems7.4.D
- (E)
convert between measurement systems, including the use of proportions and the use of unit rates7.4.E
- (5)
The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships7.5
- (A)
generalize the critical attributes of similarity, including ratios within and between similar shapes7.5.A
- (B)
describe π as the ratio of the circumference of a circle to its diameter7.5.B
- (C)
solve mathematical and real-world problems involving similar shape and scale drawings7.5.C
- (6)
The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships7.6
- (A)
represent sample spaces for simple and compound events using lists and tree diagrams7.6.A
- (B)
select and use different simulations to represent simple and compound events with and without technology7.6.B
- (C)
make predictions and determine solutions using experimental data for simple and compound events7.6.C
- (D)
make predictions and determine solutions using theoretical probability for simple and compound events7.6.D
- (E)
find the probabilities of a simple event and its complement and describe the relationship between the two7.6.E
- (F)
use data from a random sample to make inferences about a population7.6.F
- (G)
solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;7.6.G
- (H)
solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and7.6.H
- (I)
determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.7.6.I
Expressions, equations, and relationships
- 7.
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 + b7.7
- (8)
The student applies mathematical process standards to develop geometric relationships with volume7.8
- (A)
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 formulas7.8.A
- (B)
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 formulas7.8.B
- (C)
use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas7.8.C
- (9)
The student applies mathematical process standards to solve geometric problems7.9
- (A)
solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids7.9.A
- (B)
determine the circumference and area of circles7.9.B
- (C)
determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles7.9.C
- (D)
solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net7.9.D
- (10)
The student applies mathematical process standards to use one-variable equations and inequalities to represent situations7.10
- (A)
write one-variable, two-step equations and inequalities to represent constraints or conditions within problems7.10.A
- (B)
represent solutions for one-variable, two-step equations and inequalities on number lines7.10.B
- (C)
write a corresponding real-world problem given a one-variable, two-step equation or inequality7.10.C
- (11)
The student applies mathematical process standards to solve one-variable equations and inequalities7.11
- (A)
model and solve one-variable, two-step equations and inequalities7.11.A
- (B)
determine if the given value(s) make(s) one-variable, two-step equations and inequalities true7.11.B
- (C)
write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships7.11.C
Measurement and data
- 12.
The student applies mathematical process standards to use statistical representations to analyze data7.12
- (A)
compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads7.12.A
- (B)
use data from a random sample to make inferences about a population7.12.B
- (C)
compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations7.12.C
Personal financial literacy
- 13.
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 investor7.13
- (A)
calculate the sales tax for a given purchase and calculate income tax for earned wages7.13.A
- (B)
identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget7.13.B
- (C)
create and organize a financial assets and liabilities record and construct a net worth statement7.13.C
- (D)
use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby7.13.D
- (E)
calculate and compare simple interest and compound interest earnings7.13.E
- (F)
analyze and compare monetary incentives, including sales, rebates, and coupons7.13.F
Frequently asked questions
- What grade levels do these standards cover?
- Grade 7
- When were these standards adopted?
- 2012
- Where can I read the official document?
- Texas Essential Knowledge and Skills for Mathematics
Keep exploring
Keep exploring Mathematics standards
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