Scale Drawings, Circles & Volume
11 lessons, about 26 days with the quiz, review and test, in one download: Scale Drawings, Redrawing at a New Scale, Triangle Inequality, Angle Relationships, Writing and Solving Angle Equations, Circumference & Area of Circles, Circle Word Problems, Cross-Sections of 3D Figures, Volume of Prisms, Surface Area of Prisms and Pyramids, Composite Area, Volume & Surface Area.
11 lessons, in teaching order
Built to 7.G.A.1, 7.G.A.2, 7.G.B.5, 7.G.B.4, 7.G.A.3, 7.G.B.6. Each lesson has guided notes, practice, an exit ticket, a homework page, worked answer keys and a click-by-click Teacher Deck.
- Lesson 1 Scale Drawings I can use the scale of a drawing, map or plan to find real lengths and drawing lengths, find real areas from a drawing, and reproduce a drawing at a different scale.
- Lesson 2 Redrawing at a New Scale I can reproduce a scale drawing at a different scale: keep the real lengths, find each new drawing length (or one factor for every length), check whether the copy should be longer or shorter, and find a new scale from a new length.
- Lesson 3 Triangle Inequality I can decide whether three side lengths can make a triangle by testing the two shorter sides against the longest, and find the range of lengths for an unknown third side.
- Lesson 4 Angle Relationships I can name complementary, supplementary, vertical and adjacent angles, write an equation for an unknown angle, solve it, and find the angle's measure.
- Lesson 5 Writing and Solving Angle Equations I can write one equation that adds every angle that fills a straight line, a right angle, the space around a point or a split angle, solve it for x, and put x back into each expression to find the angles.
- Lesson 6 Circumference & Area of Circles I can find the circumference and the area of a circle with C = πd and A = πr², using 3.14 or leaving the answer in terms of π.
- Lesson 7 Circle Word Problems I can read a circle story to decide whether it asks for a length around the circle or the space inside it, tell whether it gives the radius or the diameter, and answer in the form the problem asks for.
- Lesson 8 Cross-Sections of 3D Figures I can describe the flat shape I get when a plane slices a box or a pyramid, give its size and find its area.
- Lesson 9 Volume of Prisms I can find a right prism's two matching ends, find the area of one (a triangle or a trapezoid), and multiply by the distance between the ends: V = B × h, even when the prism lies on a side face.
- Lesson 10 Surface Area of Prisms and Pyramids I can make a face list from the net of a triangular prism or a square pyramid, find each face's area, and add every face exactly once.
- Lesson 11 Composite Area, Volume & Surface Area I can find the area of a composite figure, the volume of a right prism or a composite solid, and the surface area of a solid built from pieces.
Everything for Unit 7
- Student packets, color and InkSaver, with all 11 lessons in teaching order: notes, practice, apply, an exit ticket and a homework page for each
- Answer keys: every problem worked step by step, the common mistakes, and a key for every homework page
- Teacher Decks: an interactive PowerPoint deck with speaker notes for each lesson, plus a completed deck PDF
- Assessments: a quiz, a unit review and Unit Test Forms A and B, each with a fully worked answer key, in color, InkSaver and editable Word
- A unit overview: the lessons in teaching order and the days for each
Or the whole year: the 7th Grade Math Curriculum bundle, all 9 units for $167.99
The standards in this unit
How to explain each one, worked examples and the mistakes students make.
The rest of 7th grade
Standard codes refer to the Common Core State Standards for Mathematics. Math Class 678 is an independent publisher, not affiliated with, sponsored by, or endorsed by NGA Center or CCSSO. Every product is sold on Teachers Pay Teachers.