Course: 6th Grade Math

Course Description

In grade 6, students compute with different kinds of numbers, including whole numbers, positive fractions, and positive decimals. They also work with negative whole numbers, such as -1 and -8. Grade 6 students apply their skills to abstract and practical problems. They analyze data and decide if something is likely to happen. They understand basic statistical concepts, such as mean, median, mode, and range. They compute percentages and calculate sales discounts, tips, and interest. Exploring algebra, students solve simple equations using models, graphs, and paper and pencil methods. In geometry, they learn about pi and formulas for finding circumference and area of a circle.

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Curriculum

12 lessons Smooth Operators (Integers/Order of Operations)
Smooth Operators covers order of operations, inverse operations (integer subtraction is inverse of integer addition), integer subtraction/addition on a number line, compare and order fractions and decimals, prime and composite numbers; prime factorization; greatest common factor; least common multiple; and divisibility rules for 2, 3, 4, 5, 6, 9, and 10 — to the solution of problems, laws of exponents.
- Lessons
- Order of Operations
  SWBAT use the order of operations to solve problems
- Exponents
  SWBAT evaluate and use exponents in problem solving
- Divisibility rules
  SWBAT identify numbers divisible by 2, 3, 4, 5, 6, 9, and 10 with 80% accuracy.
- Prime factorization
  SWBAT find the find the prime factorization of a whole number with 80% accuracy.
- Greatest Common Factor
  SWBAT find the greatest common factor of two or more numbers with 80% accuracy.
- Prime Factor/GCF/LCM/Divisibility rule application
  SWBAT use knowledge of prime factorization, LCM, GCF to find patterns and solve real-world problems.
- Intro to Integers/Review of whole numbers
  SWBAT analyze the use of integers in real world situations
- Adding Integers
  SWBAT use models, rules, and teams to add integers.
- Subtracting Integers
  SWBAT use models, rules, and teams to subtract integers. SWBAT understand subtraction is the opposite of.
- Multiply/divide integers
  SWBAT multiply integers using repeated addition patterns and rules and SWBAT divide integers using rules
- Review operations with integers
  Objective: SWBAT conceptualize and compare integer addition, subtraction, multiplication, and division with 80% accuracy.
- select and use appropriate operations
  SWBAT:
  
  SWBAT Know how to do a multi-step problem after choosing the first operation
14 lessons What does the data say? (Data analysis, Data Representation, and Graphs)
What does the data say covers mean, median, and mode as well as constructing scatterplots, stem-and-leaf plots, and circle graphs.Roundig and estimating decimals, fractions, and mixed numbers.
- Lessons
- Estimating and rounding
  SWBAT estimate the results of computations with all numbers
- Mean
  SWBAT conceptualize the procedures for identifying the mean for a set of data
- Median and Mode
  SWBAT conceptualize the procedures for identifying the median and mode of a set of data
- Review measures of central tendency as well as range, max, and min
  SBAT analyze data to find the range, outlier, maximum, and minimum. SWBAT review measures of central tendency.
- Stem-and-Leaf Plot
  SWBAT represent and interpret data using a stem-and-leaf plot
- Frequency
  SWBAT analyze and organize data in a frequncy table or line plot.
- Survey Project 1
  SWBAT Students will conduct a survey to find the Measures of Central Tendency’s and use the data collected to create 4 graphical representations.
- circle graph
  6.DASP.2 SWBAT construct and interpret circle graphs
- scatter plot
  SWBAT recognize patterns such as negative, positive, strong, weak, or no relationship between two variables on a scatter plot
- pra.3
- pra.8
- pra.9
- add/subtract decimals
- multiply and divide decials
18 lessons Fractions and Decimals
- Lessons
- add/subtract decimals
  SWBAT use the properties of addition to add and subtract decimals
- Multiply/divide decimals
  SWBAT use properties of multiplication and mental math to multiply and divide decimals
- Equivalent Fractions
  SWBAT write equivalent fractions and find the greatest common factor in order to simplify a fraction.
- Compare and Order Fractions
  SWBAT order fractions with unlike denominators with 80% accuracy.
- Mixed numbers and improper fractions
  SWBAT express mixed numbers as improper fractions and vice versa in order to show how to express fractions greater than 1
- convert fractions to decimals
  SWBAT convert fractions to a decimal and in order to identify decimals as terminating or repeating decimals.
- Quiz 1 on fractions and decimals
  SWBAT show 80% mastery or better on their Weekly Assessment on: Comparing and Ordering Decimals and Fractions, Simplifying Fractions, and Writing Mixed Numbers as Improper Fractions and vice versa.
- Estimate with fractions and mixed numbers
  SWBAT estimate sums, differences, products, and quotients using mixed numbers and fractions, 6.NSO-E.18, Estimate
- add fractions using fraction bars
  SWBAT apply manipulative to fraction addition and synthesize rules related to fraction addition
- justify adding fractions
  SWBAT critique their partners fraction addition problems and justify their conclusion
- add/subtract fractions
  SWBAT use knowledge equivalent fractions to add and subtract fractions
- add/subtract mixed numbers
  SWBAT add and subtract mixed numbers
- Multiply fractions and mixed numbers
  SWBAT use modeling to synthesize rules of multiplication to fractions and mixed numbers
- Divide fractions and mixed numbers
  SWBAT use modeling to synthesize rules of division to fractions and mixed numbers
- review mixed number multiplication and division
  SWBAT critique their partners fraction and mixed number multiplication and division problems and justify their conclusion
- Quiz multiply/divide fractions
- Convert fractions decimals and percents
  SWBAT convert fractions decimals and percents
- find the percent of a number
  SWBAT find the percent of a number
5 lessons Proportions and Probability
- Lessons
- solve problems using percent proportions
- create their own real world percent problem
- theoretical probability of an event
  SWBAT apply their knowledge of fractions to represent the theoretical probability of an event.
- experimental probability of an event
  SWBAT apply their knowledge of fractions to represent the experimental probability of an event.
- outcomes of a probability experiment by using a tree diagram
  SWBAT find all possible outcomes of a probability experiment by using a tree diagram or by multiplying.
7 lessons Quarter 3
- Lessons
- algebraic expressions and word phrases
  SWBAT translate between simple algebraic expressions and word phrases.
- Arithmetic and geometric patterns
  I can recognize the difference between arithmetic and geometric patterns, and create a rule about the sequences
- Function rules from a table
  I can write function rules from a table
- Graph a function
  I can apply knowledge of functions and tables to graph a function
- Find the area of irregular figures
  SWBAT find the area of irregular figures and make a concept map for area
- SWBAT find the surface areas of prisms and cylinders using nets
  SWBAT find the surface areas of prisms and cylinders using nets
- Area and perimeter of a parallelogram and triangle
  SWBAT find the area and perimeter of a parallelogram and a triangle
1 lessons DC CAS REVIEW
- Lessons
- agenda for the 12 days of CASMAS