Domain (EE)

Expressions and Equations

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.01 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.04 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

• a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
• b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
  

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

MAT-07.EE.04.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Domain (G)

Geometry

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Draw, construct and describe geometrical figures and describe the relationships between them

MAT-07.G.01 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Student Learning Targets:

Skills Domain (Performance) Targets

• I can use scale drawing to determine the actual dimensions and area of geometric figure

Product Targets

• I can use a different scale to reproduce a similar scale drawing

Proficiency Scale

Link to the Proficiency Scale

Web Resources

• https://www.khanacademy.org
  • scale drawings
• big ideas math
  • This content is found in Chapter 5

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

MAT-07.G.04 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Proficiency Scale

This standard is taught and evaluated in conjunction with 7.G.6.

Resources

Websites

• www.khanacademy.org
  • area of circle
  • circumference of circle
• www.bigideasmath.com
  • Chapter 6 - Circumference and Area of Circles

Vocabulary

• circle
• circumference
• radius
• diameter
• pi

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

MAT-07.G.06 Solve real-world and mathematical problems involving area of two-dimensional figures composed of polygons and/or circles including composite figures

Solve real-world and mathematical problems involving surface area of prisms and cylinders, including composite solids.

Solve real-world and mathematical problems involving volume of right prisms, including composite solids.

Domain (NS)

The Number System

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

MAT-07.NS.01 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

• a. Describe situations in which opposite quantities combine to make 0.
• b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
• c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
• d. Apply properties of operations as strategies to add and subtract rational numbers.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

MAT-07.NS.01.c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

MAT-07.NS.01.d Apply properties of operations as strategies to add and subtract rational numbers.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

MAT-07.NS.02 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

• a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
  
• b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret products of rational numbers by describing real-world contexts.
  
• c. Apply properties of operations as strategies to multiply and divide ational numbers.
  
• d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

MAT-07.NS.02.c Apply properties of operations as strategies to multiply and divide rational numbers.

7th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

MAT-07.NS.03 Solve real-world and mathematical problems involving the four operations with rational numbers.

Domain (RP)

Ratios and Proportional Relationships

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

MAT-07.RP.01 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

For example, If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½ / ¼ miles per hour, equivalently 2 miles per hour.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

MAT-07.RP.02 Recognize and represent proportional relationships between quantities.

• a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
  
• b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
  
• c. Represent proportional relationships by equations.
  
• d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Recognize and represent proportional relationships between quantities.

MAT-07.RP.02.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

Recognize and represent proportional relationships between quantities.

MAT-07.RP.02.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

7th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems

MAT-07.RP.03 Use proportional relationships to solve multistep ratio and percent problems.

Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Domain (SP)

Statistics and Probability

7th Grade MAT Targeted Standards
Domain (SP) Statistics and Probability
Cluster: Investigate chance processes and develop, use, and evaluate probability models

MAT-07.SP.07 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

• a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
  
• b. Develop a possibly model (which may not be uniform) by observing frequencies in data generated from a chance process.