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.