
6th Grade Math
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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
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*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./
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*Classify polygons according to their practices
*Construct similar polygons on coordinate grids.
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*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.
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Major Skills
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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
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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.
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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.
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Students will: Use variables to show relationships. Apply order of operations and properties. Plot numbers less than zero. Explore properties of integers
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Students will: Express problems using algebraic terms Translate algebraic expressions into words. Use inverse operations to solve equations
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Course Synthesis and Summative Work |
Themes
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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
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Interpreting Graphs Displaying Data Describing Data |
Angle/Lines Perimeter, Area Triangles Quadrilaterals
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Polyhedrons Circles and Cylinders Transformations |
Estimation, Order Decimals Problem Solving Divisibility Prime Factorization
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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 |
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Coached Projects Or Labs |
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Ground Floor: Area inquiry |
Product Design: Create beverage containers. |
Research Project: Bargain Shopping |
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Population Study: Investigate populous countries |
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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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