Grade: 6th

Content Area: Math

Course Name: Sixth Grade Math

First Semester

Second Semester

Unit 1 Integers, Number Lines & Coordinate Grids (12-14 days)

1.1  I can compare positive and negative rational numbers in various forms (fractions, decimals, standard, word or short).

1.2  I can locate and graph all positive and negative rational numbers on a number line and coordinate grid.

State Standards/Benchmarks:

6.1.1.1  

6.1.1.2

Unit 2 Understanding Fractions (12-14 days)

2.1 I can compare positive and negative rational numbers in various forms (fractions, decimals, standard, word or short).

2.2 I can determine equivalences among fractions and select the proper form to solve problems.

2.3 I can find the factors of whole numbers and express whole numbers using prime factorization.

2.4 I can determine GCF and LCM between 2 or 3 numbers and use common factors and multiples to calculate with fractions and find equivalent fractions.

2.5 I can convert between equivalent representations of positive rational numbers as fractions, mixed numbers, percents, and decimals

State Standards/Benchmarks:

6.1.1.2

6.1.1.4

6.1.1.5

6.1.1.6

6.1.1.7

Chapter 3 Operations with Fractions (17-20 days)

3.1 I can determine equivalences among fractions and select the proper form to solve problems.

3.2  I can determine GCF and LCM between 2 or 3 numbers and use common factors and multiples to calculate with fractions and find equivalent fractions.

3.3 I can convert between equivalent representations of positive rational numbers as fractions, mixed numbers, percents, and decimals

3.4 I can multiplying and dividing decimals, fractions, mixed numbers and percents.

3.5 I can make sense of procedures for multiplying/dividing fractions by understanding the meanings of fractions/mixed numbers and their reciprocals.

3.6 I can solve problems in various contexts involving conversion of weights, capacities, measurements and times within measurement systems using appropriate units.

State Standards/Benchmarks:

6.1.1.4

6.1.1.6

6.1.1.7

6.1.3.1

6.1.3.2

6.3.3.1

Chapter 4 Ratios, Proportions, and Percents (15 days)

4.1 I can compare positive and negative rational numbers in various forms (fractions, decimals, standard, word or short).

4.2 I can show that percent means out of 100 by writing it in decimal, ratio or fraction form.

4.3 I can convert between equivalent representations of positive rational numbers as fractions, mixed numbers, percents, and decimals

4.4 I can identify and use ratios to compare quantities and understand that comparing quantities using ratios is not the same as using subtraction.

4.5 I can identify and apply the relationships between ratios, equivalent fractions, and percents to solve problems in various contexts.

4.6 I can find unit rate of various quantities and use unit rate to determine ratios

4.7 I can use reasoning about multiplication and division to solve ratio and rate problems

State Standards/Benchmarks:

6.1.1.2

6.1.1.3

6.1.1.7

6.1.2.1

6.1.2.2

6.1.2.3

6.1.2.4

Chapter 5 Multiplication and Division of Decimals (20 days)

5.1 I can multiplying and dividing decimals, fractions, mixed numbers and percents.

5.2 I can make sense of procedures for multiplying/dividing fractions by understanding the meanings of fractions/mixed numbers and their reciprocals.

5.3 I can solve problems in various contexts involving conversion of weights, capacities, measurements and times within measurement systems using appropriate units.

5.4 I can estimate weights, capacities and geometric measurements, using appropriate measurements, in a variety of situations.

State Standards/Benchmarks:

6.1.3.1

6.1.3.2

6.3.3.1

6.3.3.2

Chapter 6 Real World Practice (5-7 days)

6.1 I can calculate the percent of a number and determine what percent one number is of another number to solve problems in various contexts.

6.2 I can solve real world problems requiring arithmetic with decimals, fractions, and mixed numbers

6.3 Estimating solutions to problems with whole numbers, decimals, mixed numbers, percents and fractions.

State Standards/Benchmarks:

6.1.3.3

6.1.3.4

6.1.3.5

Unit 7: Variables, Equations, and Expressions (17-20 days)

7.1 I can solve equations involving positive rational numbers.

7.2 I can understand that a variable can represent any number or quantity.

7.3 I can understand and apply the associative, commutative, and distributive properties.

State Standards/Benchmarks:

6.2.1.1

6.2.2.1

6.2.3.2

Chapter 8 Inequalities and Functions (8-12 days)

8.1 I can represent real world mathematical situations using equations and inequalities.

8.2 I can represent the relationship between two varying quantities with function rules, tables, and graphs.

State Standards/Benchmarks:

6.2.1.2

6.2.3.1

Chapter 9 Angles and Lines (5-8 days)

9.1 I can solve problems using the relationships between the angles formed by intersecting lines (vertical and adjacent angles).

9.2 I can determine missing angle measures in a triangle using the fact that the sum of the interior angles is 180˚.

State Standards/Benchmarks:

6.3.2.1

6.3.2.2

Chapter 10 Area, Surface Area, and Perimeter (10-15 days)

10.1  I can estimate the perimeter and area of irregular figures on a grid when they cannot be decomposed into common figures and use correct units to label.

10.2  I can develop and use formulas for the sum of the interior angles of polygons by dividing them into triangles.

10.3  I can calculate area of quadrilaterals.

10.4  I can calculate the surface area and volume of prisms and use appropriate units, such as squared units or cubed units.

State Standards/Benchmarks:

6.3.1.1

6.3.1.2

6.3.1.3

6.3.2.3

Chapter 11 Probability (10-16 days)

11.1  I can determine the probability of an event using the ratio between the size of the event and the size of the sample space.

11.2  I can determine the sample space for a given experiment and determine which members of the sample space are related to certain events.

11.3 I can perform experiments for situations in which the probabilities are known. Understand that the relative frequencies may differ.

11.4 I can show experimental probabilities in various forms, such as fractions and percents.

State Standards/Benchmarks:

6.4.1.1

6.4.1.2

6.4.1.3

6.4.1.4