Grade: 7th Grade



Grade: 7th Grade

Course: Pre-Algebra

Discipline: Math

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Additional Course Information:

Course Description

Meets every other day all year.

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Objectives:

|Unit |

|Accentuate the Negative Investigation 1 - Problems 1.1 - 1.4 |

|Local Objective |

|Compare and order all positive and negative rational numbers and find their approximate location on the number line (NO1A) - DOK 1 |

|Unit |

|Accentuate the Negative Investigations 2 (Problems 2.1 - 2.3) & Investigation 3 - (Problems 3.1 - 3.4) |

|Local Objective |

|(1) Describe the effects of all operations on rational numbers including integers. (NO 2B) DOK 2 |

|(2) Apply all operations on rational numbers including integers. (N3C). DOK 2 |

|(3) Estimate and justify the results of all operations on rational numbers.  (N3D). DOK 3 |

|Unit |

|Accentuate the Negative Investigation 4 - Problem 4.1 - 4.3 |

|Local Objective |

|Apply properties of operations (including order of operations) to positive rational numbers and integers (associative property, commutative property, distributive property).  (NO2C) - DOK 2 |

|Unit |

|Variables and Patterns Investigation 1 &2 - Problems 1.1 - 1.4 & 2.1 -2.3 |

|Local Objective |

|Students will model and solve problems using multiple representations such as graphs, tables, expressions and linear equations ( A3A) - DOK 2 |

|Unit |

|Variables and Patterns Investigation 3 - Problems 3.1 - 3.3 |

|Local Objective |

|Analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation.  Compare and contrast various forms of representations of patterns. |

|Unit |

|Moving Straight Ahead Investigation 1 - Problems 1.1 - 1.4 |

|Local Objective |

|Students will identify functions as linear or nonlinear from tables, graphs, and equations and compare and contrast various forms of representations of patterns (GLE -  A1C & A1D) .  |

|Unit |

|Moving Straight Ahead - Investigation 2 - Problems 2.1 - 2.4 |

|Local Objective |

|(1) Student will model and solve problems using multiple representations such as graphs, tables, expressions, and linear equations (GLE A3A). |

|(2) Students will compare situations with constant or varying rates of change. (GLE A4A) |

|Unit |

|Moving Straight Ahead |

|Investigation 3, Problems 3.1-3.5 |

|Local Objective |

|Students use properties to generate equivalent forms for simple algebraic expressions that include positive rationals and integers. (GLE - A2B ) |

|Unit |

|Stretching & Shrinking Investigations 1-4 |

|Local Objective |

|(1) Students will solve problems involving proportions, such as scaling and finding equivalent ratios.  (NO 3E). |

| |

|(2) Students will describe the relationship between corresponding sides, corresponding angles and corresponding perimeters of similar polygons.  (GS 1B) |

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|(3) Students will describe the relationship between scale factor and the perimeter of the image using dilation (contraction & magnifications).  (GS 3C) |

|Unit |

|Comparing & Scaling |

|Local Objective |

|(1) Students will estimate and justify the results of all operations on rational numbers. (NO 3E). DOK 2 |

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|(2) Students will compare situations with constant or varying rates of change. (AR 4A).  DOK 3 |

|Unit |

|Geometry |

|Local Objective |

|(1) Students will solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism or cylinder. |

| |

|(2) Students will convert from one unit of measure to anther within a system of measurement (capacity) and convert square or cubic units within the same system of measurement. |

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|(3) Identify and justify the unit of measure for volume (customary and metric) |

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|(4) Identify the equivalent area and volume measure within a system of measurement. |

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