Course: 6th Grade Math

Course Description

This course covers all of the DC 6th grade math standards.

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Curriculum

9 lessons Order of Operations, Exponents, Rounding
This unit reviews rounding from 5th grade and introduces exponents and Order of Operations with whole numbers.
- Lessons
- Unit Overview
  Materials for the Unit
- Round Whole Numbers
  SWBAT round whole numbers to any given place.
- Round Decimal Numbers
  SWBAT round decimal numbers to any given place
- Solve Problems Involving Parentheses (as a grouping symbol)
  SWBAT solve problems with parentheses (as a grouping symbol)
- Solve Problems Involving Parentheses (as multiplication)
  SWBAT solve problems involving parentheses as multiplication
- Exponents/Law of Exponents (Multiplying with Like Bases)
  SWBAT evaluate exponential numbers. SWBAT solve problems involving exponents. SWBAT derive and apply the law for multiplying exponential numbers with like bases.
- Solve Problems Involving Multiplication and Division In Varying Orders
  SWBAT solve problems involving multiplication and division in varying orders. SWBAT solve order of operations problems involving parentheses, exponents, multiplication and division.
- Solve Problems Involving Addition and Subtraction in Varying Orders
  SWBAT solve problems involving addition and subtraction in varying orders
- Apply Order of Operations to Solve Expressions
  SBWAT solve order of operations expressions
10 lessons Integers
This unit explores integers on a number line. It also covers integer addition, subtraction and multiplication.
- Lessons
- Unit Overview
- Define Integers, Place Integer on Number Line, Name Opposite Integer
  SWBAT identify integers and their opposites.
- Compare and Order Integers
  SWBAT compare and order integers
- Add Integers Using Number Line
  SWBAT add and model adding integers on a number line.
- Add Integers Using Chips/Counters
  SWBAT add and model integer addition using counters.
- Add Integers Using Algorithm
  SWBAT add integers using algorithm.
- Subtract Integers Using Models (Counters/Numberline)
  Subtract integers using counters and models
- Subtract Integers Using Algorithm
  SWBAT subtract integers using algorithm
- Multiply Integers
- Problem Solving: Integer Word Problems
11 lessons Data Analysis/Statistics
This unit explores measures of central tendency and mode. Students also examine different types of displays of data, especially the stem and leaf plot.
- Lessons
- Unit Overview
  Unit Plan, Assessment and Other Planning Documents for the Unit
- Categorical/Numerical Data
  SWBAT categorize questions as numerical or categorical.
- Organizing Data
  SWBAT organize data into tally charts and line plots. SWBAT read and analyze line plots.
- Calculate Mean
  SWBAT calculate the mean of a data set
- Mode
  SWBAT identify the mode of a data set
- Median
  SWBAT find the median of a data set.
- Finding the Range
  SWBAT calculate the range of a data set. SWBAT identify the minimum and maximum values of a data set.
- Missing Mean
  SWBAT find the missing data point of a data set to attain a desired mean.
- Analyzing Statistical Measures
  SWBAT analyze how changes in a data set affect the measures of central tendency in that data set.
- Creating a Stem and Leaf Plot
  SWBAT create a stem and leaf plot.
- Analyzing a Stem and Leaf Plot
  SWBAT read and analyze a stem and leaf plot.
9 lessons Number Theory
In this unit, students will work to understand factors and multiples of numbers and describe numbers based on these attributes. This unit will prepare students with the number skills necessary for fraction computation.
- Lessons
- Unit Overview
  Unit Plan, Unit Test, Assessment/Project Resources
- Apply Divisibility Rules
  SWBAT derive and apply divisibility rules for 2, 3, 4, 6, 9 and 10
- Find Factors of a Given Number
  SWBAT find all factors of a given number
- Prime and Composite
  SWBAT define and identify prime and composite numbers. SWBAT define abundant, perfect and deficient numbers
- List Multiples of Number
  SWBAT list multiples of a given number
- Prime Factorization
  SWBAT break any number into a product of its primes.
- GCF
  SWBAT find the GCF of any set of numbers
- LCM
  SWBAT find the least common multiple for any set of numbers
- Apply GCF/LCM to Solution of Problems
13 lessons Fractions, Decimals and Percents (Equivalents and Understandings)
This unit reviews basic fraction concepts and understandings and explores equivalency of fractions, decimals and percents.
- Lessons
- Unit Overview
  Test, Unit Map
- Equivalent Fractions
  SWBAT find equivalent fractions
- Simplify Fractions
  SWBAT simplify fractions.
- Compare and Order Fractions
  SWBAT compare fractions.
- Convert Improper Fractions to Mixed Numbers/Mixed Numbers to Improper Fractions
  SWBAT name numbers greater than 1 as improper fractions and mixed numbers
- Fraction/Decimal Equivalents Using Models
  SWBAT Name Fraction and Decimal Equivalents using models.
- Decimal Benchmark/Fraction Equivalents
  SWBAT use decimal benchmarks to name fraction decimal equivalents.
- Compare and Order Decimals
  SWBAT compare and order decimals. SWBAT compare fractions and decimals.
- Convert Fractions to Decimals/Identify Terminating and Repeating Decimals
  SWBAT convert fractions to decimals using division.
- Convert Decimals to Fractions
  convert decimals to percents
- Define Percents/Convert "Easy Fractions" to Percents
  Define percents and convert fractions to percents
- Convert Decimals to Percents
  SWBAT convert decimals to percents and percents to decimals
- Place Fractions, Decimals and Percents on Number Line
  SWBAT place fractions, decimals and pecents on a number line. SWBAT compare and order fractions, decimals and percents.
12 lessons FDP Computation (Fraction Computation)
This unit is a mini unit within "Smooth Operator" in which students learn to compute with fractions fluently.
- Lessons
- Unit Overview
  Unit Test, Unit Plan included.
- Estimate Fractions
  SWBAT round fractions to nearest 1/2 benchmark
- Add Fractions (like and unlike denominators
  SWBAT add fractions.
- Subtract Fractions
  SWBAT subtract fractions (like and unlike denominators)
- Add and Subtract Fractions
  SWBAT add and subtract fractions
- Add and Subtract Mixed Numbers
  SWBAT add and subtract mixed numbers
- Add Mixed Numbers
  SWBAT add mixed numbers (with and without regrouping)
- Subtract Mixed Numbers
  SWBAT subtract mixed numbers with borrowing.
- Multiply Fractions
  SWBAT multiply fractions (mixed numbers and whole numbers)
- Find a Fraction of a Whole Number
  SWBAT find a fraction of a whole number
- Divide Fractions and Mixed Numbers
  SWBAT divide whole numbers by fractions and mixed numbers
  SWBAT divide fractions/mixed numbers/whole numbers by fractions/mixed numbers
- Fraction Word Problems
7 lessons FDP Computation (Decimal Computation)
This unit is a mini unit within "Smooth Operator" in which students learn to compute with decimals fluently.
- Lessons
- Unit Overview
  unit plan and unit assessment (fraction and decimal computation)
- Decimal Addition and Subtraction
  Add and subtract decimal numbers
- Multiply Decimals by Whole Numbers
  Multiply decimals (by decimals and by whole numbers)
- Multiply Decimals by Decimals
  Multiply decimals (by decimals and by whole numbers)
- Decimal by Whole Number Division
  Divide decimals by whole numbers
- Decimal by Decimal Division
  SWBAT divide by decimal divisors
- Problem Solving: Decimal Word Problems
8 lessons FDP Computation (Percent Computation)
This unit is a mini unit within "Smooth Operator" in which students learn to compute with percents fluently.
- Lessons
- Unit Overview
  test
- Find Percent of a Number
  SWBAT find percent of a number
- Sales Tax
  SWBAT calculate sales tax.
- Calculate Discount
  SWBAT calculate discount.
- Calculate Tip
  SWBAT calculate tip (10%, 20% and 15%)
- Make Circle Graph
  create a circle graph
- Analyze Circle Graphs
  Read/interpret/analyze circle graphs
- Simple Interest
  calculate simple interest
6 lessons Representing Relationships (Linear Relationships)
In this unit, students explore linear relationships through functions, tables, graphs and equations.
- Lessons
- Unit Overview
  Unit plan, test, other resources for unit
- Coordinate Plane and Coordinates
  SWBAT label the coordinate plane. SWBAT name and plot points on coordinate plane. (SWBAT find the distance between two points. )
- Graphs and Tables
  SWBAT create graphs from tables/tables from graphs
- Identify Functions
  SWBAT identify linear and non-linear relationships by finding patterns in tables.
- Create Equation for a Function
  SWBAT create an equation to generalize the rule between x and y
- Create a Graph, Table or Equation from a Real-World Situation
  SWBAT describe and match a linear relationship from a graph, equation or table with a real world scenario. SWBAT create a table, graph and/or equation from a real world scenario
12 lessons Finding the Unknown (Equations, Expressions and Proportions)
In this unit, students explore solving for the unknown. Students work through understanding how to solve equations and basic proportions. Students also explore evaluating and simplifying fractions.
- Lessons
- Unit Overview
  test for unit.
- Differentiate between Expressions and Equations
  SWBAT differentiate between expressions and equations. SWBAT define and identify variables, coefficients and terms.
- Translate Word Phrases Into Expressions/Equations
  SWBAT Translate Word Phrases Into Expressions/Equations
- Simplify Expressions/Combine Like Terms
  SWBAT simplify expressions by combining like terms.
- Evaluate Expressions
  SWBAT evaluate expressions using substitution.
- Solve One Step Addition/Subtraction Equations
  SWBAT solve one step addition and subtraction equations. (SWBAT understand that adding or subtracting the same number from both sides of an equation results in an equivalent equation)
- Solve One Step Multiplication/Division Equations
  SWBAT solve one-step multiplication and division equations.
- Define and Simplify Ratios and Express in Three Ways
  SWBAT Define and Simplify Ratios and Express in Three Ways
- Solve Proportions
  SWBAT identify if two ratios are a proportion. SWBAT solve for the variable in a proportion.
- Use Proportions to Solve Real World Problems
  SWBAT solve proportions from word problems.
- Use Proportion to Solve Scale Problems
  Use a proportion to solve a scale problems
- Use Proportion to Solve Measurement Conversion Problems
  
  Convert measurements using proportions
20 lessons All About Shapes
This unit reviews geometry and measurement standards. Students explore lines and angles and their measures. They then move to 2-dimensional shape attributes and names and their measures (area, perimeter). From their students explore circles by listing and labeling parts of circles and understanding pi and how that relates to the measures of circumference and area. Lastly, students explore 3D shapes and their attributes and different perspectives and nets. Students use this understanding to explore volume and surface area of rectangular prisms.
- Lessons
- Unit Overview
- Define Angles/Measure Angles
  SWBAT Define angles as acute, obtuse, right or straight. SWBAT Use protractor to measure angles
- Angle Pairs: Complementary & Supplementary
  SWBAT define and identify complementary and supplementary angle pairs. SWBAT use definition of complementary and supplementary to find the missing angle measure in an angle pair.
- Vertical/Adjacent Angles
  SWBAT define and locate vertical and adjacent angles. (SWBAT use definition of vertical angles to find the missing angle when given the measure of one of the angles in a vertical pair.)
- Sum of Angles in Triangle
  SWBAT find the missing angle in a triangle.
- Sum of Angles in Polygons
  SWBAT discover the sum of angles in any polygon using the triangle method. SWBAT use the sum of angles in a polygon to determine the missing angle.
- Transformations
  SWBAT perform and predict the result of performing transformations on a shape.
- Perimeter of Polygons
  SWBAT find the perimeter of regular and irregular polygons.
- Area of Parallelograms
  SWBAT find the area of parallelograms
- Area of Triangles
  SWBAT find the area of a triangle.
- Area of Complex Shapes
  SWBAT find the area of complex shapes.
- Parts of a Circle
  SWBAT label the parts of a circle. SWBAT find the diameter when given the radius/radius when given the diameter
- Derive Pi
  SWBAT derive and define pi.
- Circumference
  SWBAT find the circumference of a circle using a formula
- Area of a Circle
  SWBAT find the area of a circle
- Attributes of Solids
  SWBAT name and describe solids.
- Nets and Solids
  SWBAT define nets and match nets to solids.
- Perspectives of Solids
  SWBAT predict and match the view of a solid from different perspectives
- Volume of Rectangular Prism
  SWBAT find the volume of a rectangular prism.
- Surface Area of Rectangular Prism
  SWBAT calculate the surface area of a rectangular prism
3 lessons Probability
Brief unit exploring probability of single events/simple experiments. Also, reviews the fundamental counting principle.
- Lessons
- Unit Overview
- Probability of Simple Experiment
  Find theoretical probability of an event occurring in a simple experiment
- Tree Diagrams/Fundamental Counting Principle
  Use a tree diagram, chart or list to find all possible outcomes of two or more events
  
  Use the fundamental counting principal to identify all possible outcomes from two or more events
0 lessons DC-CAS Review
review of heavily tested standards according to SY09-10 blueprint