Common Core Standard: 7.G.1Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

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Domain: Geometry Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them.

Common Core Standard: 7.G.1Solve problems involving scale drawings of geometric figures, including computing actual

lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Essential Vocabulary Task Analysis Learning Activities/Assessments Resources

Prior

 Dimensions

 Area

 Perimeter

Explicit

 Scale

 Scale factor

 Scale drawing

 Enlarge

 Reduce

Introductory

 Dilation

 Scale Model

Determine dimensions of a figure when given a scale.

Identify the impact of a scale on actual length and on area.

Identify the scale factor given two figures.

Reproduce a drawing at a different scale.

Investigate the changing in dimensions as it relates to scale factor

Videos on scale drawing.

Students see how scale factors apply to real life.

Video on how to find and use scale factor

Internet math tool: Give a visual of how scale factor affects a polygon

Classroom scale drawing project.

Students will take actual measurements from your classroom to complete this activity.

Students create a scale drawing of their dream house and then create a scale model from their drawing.

What is a scale drawing?

Real-life application:

Solving scale drawing word problems using

proportions.

Designing Hot Wheels cars

Scale Factor

Dilation of a Polygon

Classroom scale drawing project

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Common Core Standard: 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with

given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions

determine a unique triangle, more than one triangle, or no triangle.

Prior

 Polygons

 All Types of Triangles

 Angle

 Acute

 Obtuse

 Right Angle

 Measure

 Angle Measure

 Degree

 Parallel

 Perpendicular

 Vertex

 Line Segments

Explicit

Continue to build on prior vocabulary.

Introductory

Pythagorean Theorem

 Identify geometric figures.

 Utilize a ruler and protractor accurately.

 Discover the conditions necessary for a given set of angles or sides to make a triangle.

 Determine conditions that create unique triangles, multiple triangles or no triangles.

 Draw precise geometric figures based on given conditions.

PPT- Review how to use a protractor to measure angles.

Interactive internet game where students build bridges to review types of angles and their measures.

Students work in pairs using spaghetti noodles to discover the relationship between the three sides of a triangle.

Using a protractor, students will create a triangle to discover the relationship between a triangle’s sides and angles.

Protractor Starter PPT

Geometry Bridge

Triangle Inequality

Triangle: Angle and Side Relationship Activity

Triangle and Side

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Common Core Standard: 7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in

plane sections of right rectangular prisms and right rectangular pyramids.

Prior

Parallel

Perpendicular

Base

Face

Parallelogram

Right Rectangular Prism

Two-Dimensional Figures

Three-Dimensional Figures

Explicit

Right Rectangular Pyramid

Lateral

Plane Sections

Introductory

 Identify all faces of the figures:

o Lateral Face

o Base

 Identify plane sections (Cross-Sections) as a result of slicing:

o Horizontally

o Vertically

o Diagonally

Geometry vocabulary review for use on SmartBoard.

Video: Reviews the basic geometry terms

Web Quest: Cross Section Flyer- Have students work in pairs to discover the different cross sections for each 3D figure

Includes multiple cross section worksheets.

Geometry Match Review

3-D Solid Properties (introductory video)

Cross Section Flyer

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Domain: Geometry Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Common Core Standard: 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve

problems; give an informal derivation of the relationship between the circumference and area of a circle.

Prior

Circle

Area

Explicit

Diameter

Radius

Circumference

Pi

Inscribed

Introductory

 Square Root

 Identify the parts of a circle.

 Explain the relationship between the parts of a circle.

 Generate the formula for the circumference of a circle.

 Generate the formula for the area of a circle.

 Explain the relationship between the circumference and diameter of a circle.

 Calculate the Circumference and area of a circle using the formula.

 Calculate the radius or diameter when given the circumference or area.

 Solve mathematical and real life problems involving circumference and area of a circle.

Math Lab: Students investigate how to generate the formulas for area and circumference of a circle.

Use the interactive circle tool to discover the relationships between radius, diameter, circumference, and area.

A mini murder mystery consolidating circumference and area formula and their reverses.

o Also angles in circles.

o Students must complete calculations and interpret

results using logical reasoning to eliminate suspects to determine who 'committed the crime.

*Must create free account to view.

Interactive lab between circumference and diameter.

Math Lab: Formulas for the circumference and area of a circle

Circle Tool

Mini Murder Mystery

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Common Core Standard: 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a

multi-step problem to write and solve simple equations for an unknown angle in a figure.

Prior

Angle

Intersecting

Parallel

Perpendicular

Angle Measure

Combine Like Terms

Inverse Operations

Explicit

Complementary

Supplementary

Vertical angles

Adjacent angles

Introductory

Transversal

 Define and understand properties of supplementary, complementary, vertical, and adjacent angles.

 Use properties of supplementary, complementary, vertical and adjacent angles to solve for unknown angles in a figure.

 Write and solve equations to find the missing angle measures.

Work out the missing angles for the computer programmer using everything you know about parallel lines and their angle properties. *Must

create free account to view.

Students use interactive tool to review angles made by parallel lines cut by a transversal.

Angle Relationship Worksheets: Varies from easy to harder questions where you set up equations to solve for x.

Dinky King- Parallel Lines and Angles

Interactive: Angle and Line Relationship

Worksheet

MathX.net – Angles (multiple)

Solve for unknown angles in a figure: algebraic

Linear pair algebraic equations

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Common Core Standard: 7.G.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.

Prior

 Area

 Perimeter

 Surface Area

 Volume

 Nets

 Composite

 Pyramids

 Prisms

Explicit

Right Prisms

Slant Height

Altitude

Introductory

 Classify two and three-dimensional figures.

 Identify parts of the two and three-dimensional figures.

 Calculate the area of

two-dimensional figures composed of triangles and quadrilaterals,

including those found in real world contexts.

 Calculate the surface area of right prisms, and pyramids including those found in real world contexts.

 Calculate the volume of right prisms, and pyramids including those found in real world contexts.

Interactive video on finding the area of composite figures.

Students work in pairs to draw

rectangular prisms and their nets from objects in the room.

Cross curriculum lesson that incorporates science and math to compare volume and surface area of rectangular prisms.

Cross curriculum lesson that incorporates science and math to compare the volume and surface area of cylinders.

Activity can be with a partner and/or individually

Students will measure the dimensions of a common object, multiply each

dimension by a scale factor, and examine a model using the multiplied dimensions. Students will then compare the surface

Area of Composite Figures (Video)

Interactive Video: Area of Composite Figures

Group Activity: You Will Find it on the Surface

Volume and surface area lesson plan

Volume and surface area of cylinders lesson plan

Activity: Real-life

Application of Volume and Surface Area

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Students will create a cube from an old rectangular box to compare volume and surface area.