6th Grade Math

 

Sept

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Dec

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Textbook Chapters

Chapter 1:

Statistics-Real World Use of Whole Numbers

CMP2: Covering and Surrounding

Chapter 11: Solids and Measurement

Chapter 3:

Decimals

Chapter 4:

Measurement

CMT Prep Materials

CMP

Comparing and Scaling

Chapter 9:

Integers and the Coordinate Plane

Chapter 2:

:Connecting Arithmetic to Algebra

Chapter 12:

Probability

Standards

 

*Display and compare sets fo data using various systematic or graphical representations.

*Describe the shape of data sets using measures of spread/central tendency.

*Understand that probabilities are reliable predictors.

*Express probability using numerical respresntations./

 

 

*Classify polygons according to their practices

 

*Construct similar polygons on coordinate grids.

 

*Examine relationships between the measures of area of two-dimensional objects and volume of three dimensional objects/.

*Solve problems involving measurement thought the use of a variety of tools, techniques and strategies.

*Use specific ratios to convert between measure of length, area, volume, mass and capacity in the customary and metric systems.

*Relate whole numbers, fractions, decimals and integers to numbers lines, scales, the coordinate plane and problem-solving situations.

*Express place value patterns using exponents to write power of ten

*Interpret and connect fraction notation to division.

*Compare quantities and solve problems using rations, rates and percents.

*Describe when products/quotients with fractions/decimals can yield a larger/smaller result than either factor.

*Solve problems involving measurement thought the use of a variety of tools, techniques and strategies.

 

*Use specific ratios to convert between measure of length, area, volume, mass and capacity in the customary and metric systems.

*Solve problems using a variety of computational strategies, including the use of calculators.

 

*Develop meta-cognition strategies related to performance based assessments.

*Relate whole numbers, fractions, decimals and integers to numbers lines, scales, the coordinate plane and problem-solving situations.

 

 

 

 

 

 

Major Skills  

 

Students will:

 

Interpret multiple graph forms.

Identify scatter plot trends

Construct bar graphs

Construct stem and leaf plots

Develop data displays

Use mean, median and mode to describe data sets

Analyze outlier impact on data sets.

Students will:

 

Analyze perimeter/area/exponent relationships

Determine area, circumference of regular and irregular shapes

Students will:

 

Understand characteristics of polyhedrons

Relate properties of 2 and 3 dimensional representations

Determine volume of prisms and cylinders

Prepare translations on coordinate planes

Create rules for translations

Identify line of symmetry and reflect figures

Students will:

 

Compare, order and round decimals equations

Solve decimal equations

Accurately use scientific notation

Determine greater common factors

Determine lease common factors

Reduce equivalent fractions in lowest terms

Oder fractions

Convert fractions

 

Students will:

Estimate using fractions

Find sums/difference of fractions/mixed numbers

Solve equations

Multiply fractions and mixed numbers

Multiply and divide mixed numbers

Students will:

 

Use rations to compare quantities.

Calculate rations and rate equivalencies.

Evaluate and solve proportions.

 

Students will:

 

Use scales to compare distances.

Create scale models/drawings

Determine rate units

Convert factors to problem solve

Compare scale models.

Understand how to use proportions to determine perimeter, area & side lengths.

 

Students will:

Use variables to show relationships.

Apply order of operations and properties.

Plot numbers less than zero.

Explore properties of integers

 

Students will:

Express problems using algebraic terms

Translate algebraic expressions into words.

Use inverse operations to solve equations

 

 

Course Synthesis and Summative Work

 

 

Themes

 

 

Making Sense of the World of Data:

 How can collecting, organizing and displaying data help us analyze information and make reasonable predictions and informed decisions?

Basic Geometry:

 How do geometric relationships and measurements help us to solve problems and make sense of our world?

Geometry:

Solid Figures and Transformations

How do geometric relationships and measurements help us to solve problems and make sense of our world?

Decimals:

How are quantitative relationships represented by numbers?

Fractions:

How are quantitative relationships represented by numbers?

Ratios and Proportion:

 How are quantitative relationships represented by numbers?

CMT Prep:

 Summative review and integration of major mathematical concepts.

Proportion, Scale and Similarity:

 How are quantitative relationships represented by numbers?

Language of Algebra:

Formulas, Expressions and Equation:

How do patterns and functions help us describe data and physical phenomena and solve a variety of problems?

Language of Algebra:

Formulas, Expressions and Equation:

How do patterns and functions help us describe data and physical phenomena and solve a variety of problems?

 

 

Topics

 

 

Interpreting Graphs

Displaying Data

Describing Data

Angle/Lines

Perimeter, Area

Triangles Quadrilaterals

 

Polyhedrons

Circles and Cylinders

Transformations

Estimation, Order Decimals

Problem Solving

Divisibility

Prime Factorization

 

Estimation

Addition, Subtraction,

Multiplication and Division of Fractions and Mixed Numbers

Estimating and Finding Equivalent rations and rates

 

 

Creating and Testing Proportions

Scale Drawings, Maps, Scales

Dimensional Analysis

Similarities

 

 

 

Coached Projects

 Or

Labs

 

Ground Floor:

Area inquiry

Product Design:

Create beverage containers.

Research Project:

Bargain Shopping

 

Population Study:

Investigate populous countries

 

Dream Desgn:

Using scale knowledge skills to create your dream home.

It’s All Buisness:

Research a business and use your math skills to run it!

 

 

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