Okemos Public Schools
Middle Schools Mathematics

Sixth Grade Mathematics Program
Chippewa and Kinawa Middle School

Primary Books - Exploring Mathematics 7, Scott Foresman
                          Connected Mathematics (CMP), Dale Seymour
Student Homework- Exploring Mathematics 7, Scott Foresman
                                 Connected Mathematics (CMP), Dale Seymour
Parent Materials-Exploring Mathematics 7, Scott Foresman
                          Connected Mathematics (CMP), Dale Seymour
 

Sixth Grade Objectives


1. Factors and Multiples : 6-7 weeks
    Prime Time -- CMP
    Exploring Mathematics 7 - Chapter 5

    Prime and composite numbers
    Divisibility rules
    Prime factorization
    Common multiples
    Least common multiples
    Common factors
    Greatest common factor
    Square numbers
    Introduce powers and square roots

2. Fractions, Decimals, Ratio, Proportion, Percent: 12-13 weeks

    Bits and Pieces I - CMP
    Exploring Mathematics 7 - Chapters 3, 6, 8
    Bits and Pieces II -- CMP
    Supplementary materials
    Bits and Pieces II -- CMP
    Exploring Mathematics 7 Chapters 3 & 6
    Exploring Mathematics 7 Chapter 8
    Exploring Mathematics 7 Chapter 9

    Meaning (size, equivalence, representation)
    Relationships between fractions, decimals, and percents
    Meaning and application of addition and subtraction of fractions and decimals
    Meaning and application of multiplication and division of fractions and decimals
    Explanation of ratio and proportion
    Scale drawing activities

3. Geometry : 10-11 weeks

   Shapes and Designs -- CMP
   Exploring Mathematics 7 -- Chapters 4 & 10
   Covering and Surrounding --- CMP
   Exploring and Mathematics 7 -- Chapters 4 & 10

Mastery of line, segment, ray and angle
Introduce planes
Parallel, perpendicular, intersecting lines
Triangles
             Classification using attributes
             Measuring angles
             Investigation: Can any 3 lengths be used ?
                                     Can any 3 angles be used?
             Area of triangles
 Quadrilaterals
             Mastery of attributes of squares, rectangles, parallelograms, irregular quadrilaterals
             Mastery of area, perimeter of squares, rectangles, parallelograms
             Use of proper unit/labeling of answers
             Polygons
             Attributes of regular and irregular
Polygons
             Angles sum
                 Tessellations
                 Introduce symmetry and slide/rotation/reflection
Circles
             Relationship among radius, diameter, circumference
             Introduce area by counting or parts methods
             Introduce pi

4. Statistics : 4-5 weeks

    Data About us -- CMP
    Bits and Pieces I & II --CMP
    Exploring Mathematics 7 (Chapters 11 & 15)

    Collecting data
    Displaying data: circle graphs, line graphs, histograms, stem and leaf plot
    Analyzing data
    Interpreting data
    Measures of central tendency : mean, median, mode
    Range and outliners

5. Probability : 3-4 weeks

    How Likely Is it? -- CMP
    Exploring Mathematics 7 -- Chapter 12

    Theoretical probability
    Experimental probability
    Random event
    Probable vs. Possible
    Equally likely

6. Optional : Throughout the year

    Exploring Mathematics 7 (Chapter 2, 4, 10)

    Algebraic topics
             Operations with integers
             Definition of variable
             Concept of expression and equation
             Order of operations
             Solving one step equations
             Translating word problems to one step equations
Geometric Constructions
             Basic compass and straight edge
3-Dimensional figures
             Faces and edges of prisms, pyramids, cones.