Domain (EE)

Expressions and Equations

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions.

MAT-06.EE.02 Write, read, and evaluate expressions in which letters stand for numbers.

• a. Write expressions that record operations with numbers and with letters standing for numbers.
• b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
• c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

6th Grade MAT Targeted Standards

Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

Write, read, and evaluate expressions in which letters stand for numbers.

MAT-06.EE.02.a Write expressions that record operations with numbers and with letters standing for numbers.

For example, express the calculation "Subtract y from 5" as 5-y.

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

MAT-06.EE.02.ab Write expressions that record operations with numbers and with letters standing for numbers.  Identify parts of an expression using mathematical terms; view one or more parts of an expression as a single entity.

Student Learning Targets:

Knowledge Targets

• I can
• I can

Reasoning Targets

• I can
• I can

Skills Domain (Performance) Targets

• I can
• I can
  

Product Targets

• I can
• I can

Proficiency Scale:

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

Write, read, and evaluate expressions in which letters stand for numbers.

MAT-06.EE.02.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

Write, read, and evaluate expressions in which letters stand for numbers.

MAT-06.EE.02.c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s =1/2.

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Reason about and solve one-variable equations and inequalities

MAT-06.EE.07 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Represent and analyze quantitative relationships between dependent and indepenent variables

MAT-06.EE.09 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

Domain (G)

Geometry

6th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Solve real-world and mathematical problems involving areas, surface area, and volume

MAT-06.G.01 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Domain (NS)

The Number System

6th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of multiplication and division to divide fractions by fractions

MAT-06.NS.01 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.). How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

6th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Compute fluently with multi-digit numbers and find common factors and multiples

MAT-06.NS.03 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6th Grade MAT Targeted Standards
Domain (NS) The Number System
Cluster: Apply and extend previous understandings of numbers to the system of rational numbers

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

MAT-06.NS.06.c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

Student Learning Targets:

Knowledge Targets

• I can
• I can
  

Reasoning Targets

• I can
• I can
  

Skills Domain (Performance) Targets

• I can
• I can
  

Product Targets

• I can
• I can

Domain (RP)

Ratios and Proportional Relationships

6th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

MAT-06.RP.03 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

• a. Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
• b. Solve unit rate problems including those involving unit pricing and constant speed.
• c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
• d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

6th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

MAT-06.RP.03.a Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

6th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

MAT-06.RP.03.b Solve unit rate problems including those involving unit pricing and constant speed.

For example, If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

6th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

MAT-06.RP.03.c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

6th Grade MAT Targeted Standards
Domain (RP) Ratios and Proportional Relationships
Cluster: Understand ratio concepts and use ratio reasoning to solve problems

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

MAT-06.RP.03.d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Domain (SP)

Statistics and Probability

6th Grade MAT Targeted Standards
Domain (SP) Statistics and Probability
Cluster: Develop understanding of statistical variability

MAT-06.SP.05 Summarize numerical data sets in relation to their context.

• a. Reporting the number of observations.
  
• b. Describing the nature of the attribute of investigation, including how it was measured and its units of measurement.
  
• c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data was gathered.
  
• d. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

6th Grade MAT Targeted Standards
Domain (SP) Statistics and Probability
Cluster: Develop understanding of statistical variability

Summarize numerical data sets in relation to their context.

MAT-06.SP.05.c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data was gathered.