# Mathematics 7th Grade

This is the math course for academic intervention pull-out programs. Classes have a mix of 6th, 7th, and 8th graders with content adjusted to each individual student's learning gaps.

**Estimated Completion Time:** 2 semesters/18-36 weeks

**State Course Number: **115800

The course-level objectives for 7th grade Math come from Missouri Learning Standards. The competencies are divided by unit below; separate module-level objectives are located at the beginning of each assignment.

**Unit 1: Scale Drawings**

7.GM.A.1

Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

7.GM.B.6

Understand the relationship between area, surface area and volume.

- Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.
- Find the volume and surface area of prisms, pyramids and cylinders.

**Unit 2: Introducing Proportional Relationships**

7.GM.A

Draw and describe geometrical figures and describe the relationships between them.

7.GM.A.1

Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

7.RP.A

Analyze proportional relationships and use them to solve problems.

7.RP.A.1

Compute unit rates, including those that involve complex fractions, with a like or different units.

7.RP.A.2

Recognize and represent proportional relationships between quantities.

- Determine when two quantities are in a proportional relationship.
- Identify and/or compute the constant of proportionality (unit rate).
- Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
- Recognize that the graph of any proportional relationship will pass through the origin.

7.GM.B.6

Understand the relationship between area, surface area and volume.

- Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.
- Find the volume and surface area of prisms, pyramids and cylinders.

**Unit 3: Measuring Circles**

7.GM.A

Draw and describe geometrical figures and describe the relationships between them.

7.GM.A.1

Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

7.GM.A.2

Use a variety of tools to construct geometric shapes.

- Determine if provided constraints will create a unique triangle through construction.
- Construct special quadrilaterals given specific parameters.

7.GM.A.4

Understand concepts of circles.

- Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.
- Know and apply the formulas for circumference and area of circles to solve problems.

7.RP.A.2

Recognize and represent proportional relationships between quantities.

- Determine when two quantities are in a proportional relationship.
- Identify and/or compute the constant of proportionality (unit rate).
- Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
- Recognize that the graph of any proportional relationship will pass through the origin.

7.RP.A.3

Solve problems involving ratios, rates, percentages and proportional relationships.

7.GM.B

Apply and extend previous understanding of angle measure, area and volume.

7.GM.B.6

Understand the relationship between area, surface area and volume.

- Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.
- Find the volume and surface area of prisms, pyramids and cylinders

7.EEI.B.3

Solve multi-step problems posed with rational numbers.

- Convert between equivalent forms of the same number.
- Assess the reasonableness of answers using mental computation and estimation strategies.

**Unit 4: Proportional Relationships and Percentages**

7.RP.A.1

Compute unit rates, including those that involve complex fractions, with like or different units.

7.RP.A.2a

Recognize and represent proportional relationships between quantities.

- Determine when two quantities are in a proportional relationship.

7.RP.A.2

Recognize and represent proportional relationships between quantities.

- Determine when two quantities are in a proportional relationship.
- Identify and/or compute the constant of proportionality (unit rate).
- Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
- Recognize that the graph of any proportional relationship will pass through the origin.
- Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.
- Interpret products and quotients of rational numbers by describing real-world contexts

7.RP.A.3

Solve problems involving ratios, rates, percentages and proportional relationships.

**Unit 5: Rational Number Arithmetic**

**Unit 6: Expressions, Equations and Inequalities**