Q4, W1: March 29th – April 2nd Advanced Math

MAFS.7.G.2.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Review the following standards as part of the FSA Rainforest Review:

MAFS.7.RP.1.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

MAFS.7.RP.1.2

Recognize and represent proportional relationships between quantities.

1. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

2. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

3. Represent proportional relationships by equations.

4. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Students are successful when they can…

• determine the area of two-dimensional figures (triangles and quadrilaterals).
• determine the surface area of three-dimensional figures.
• solve real-world problems involving area and surface area.
• solve problems involving a missing dimension of a geometric figure.

As part of the Rainforest FSA Review, students are successful when they can…

• compute a unit rate by iterating (repeating) or partitioning given rate.
• compute a unit rate by multiplying or dividing both quantities by the same factor.
• explain the relationship between using composed unit and a multiplicative comparison to express a unit rate.
• use measures of lengths and areas to calculate unit rates with the given context.
• analyze ratios in a table to determine if the ratios are equivalent by finding the constant of proportionality.
• calculate the cross product to determine if the two ratios are in proportion (equivalent).
• graph ratios on a coordinate plane to determine if the ratios are proportional by observing if the graph is a straight line through the origin (y=kx, where k is the slope/ constant of proportionality).
• calculate the constant of proportionality / unit rate from a table or diagram.
• compute the rate of change/ slope from a graph or equation (k in y=kx).
• solve equations created from proportional relationships.
• write an equation from a proportional relationship
• calculate the unit rate by identifying that on a graph when the x-coordinate is 1, the y-coordinate is the unit rate.
• define the rate of proportionality from a graph.
• explain that the y-coordinate divided by the x-coordinate for every point other than the origin equals the constant of proportionality.
• explain the meaning of a point on a graph y=kx of a real life situation.

Monday (3rd Period and Innovative Students) / Tuesday (5th Period Students)

1. Instruction – Area of rectangles, parallelograms, triangles and trapezoids
2. Assignment – due Friday, April 2nd
   1. IXL 7th Grade AA.2 Area of rectangles and parallelograms
   2. IXL 7th Grade AA.3 Area of triangles and trapezoids
3. Review standards MAFS.7.RP.1.1 and MAFS.7.RP.1.2 to prepare for Rainforest FSA Day

Wednesday (All students)

Rainforest FSA Review Day

NOTE: There will be on Zoom class today.

Thursday (3rd Period and Innovative Students) / Friday (5th Period Students)

1. Instruction
   1. Surface Area
   2. Area between two figures/ Compound figures
2. Assignments – due Tuesday, April 6th
   1. IXL 7th Grade AA.12 Surface area of cubes and prisms
   2. IXL 7th Grade AA.18 Area of compound figures with triangles
   3. IXL 7th Grade AA.20 Area between two shapes

Summatives

None

Formatives

1. Rainforest FSA Packet (face to face students only)
2. IXL 7th Grade AA.2 Area of rectangles and parallelograms
3. IXL 7th Grade AA.3 Area of triangles and trapezoids

All IEP accommodations are provided each class.

Notes for Area Formulas are in GradeBook.