3. Student Learning Map

  • Topic:6) Algebra and Geometry Connections
  • Subject(s):Math
  • Days:25
  • Grade(s):10, 11, 12
Key Learning:

Parts of geometry and algebra are interrelated.

Unit Essential Question(s):
 
 

How do I use algebraic principles when working with certain geometric concepts?

   
Concept:

Perimeter and Area

Pearson: 9.3, 11.1, 11.4, 11.5, 11.6

Glencoe: 8.2 through 8.6

Concept:

Surface Area and Volume

Pearson: 13.2 through 13.9

Glencoe: 8.7, 8.8

Concept: Slope Pearson: 3.5 Glencoe: 13.3
Lesson Essential Question(s):

How do I determine and apply the correct formulas to calculate area and perimeter?

(A)
Lesson Essential Question(s):

How are area formulas used to derive formulas for surface area and volume? (A)

(ET)
Lesson Essential Question(s):

How do I calculate the slope of a line?

(A)
Concept:

Midpoint and Distance Formulas

Pearson: 7.4 and 7.5

Glencoe: 13.2 and generate worksheet

MA.912.A.5.7

Concept:

Pythagorean Theorem

Pearson: 10.3, 10.4

Glencoe: 7.5, 7.6

Concept:

Simplify and Estimate Radicals

Pearson: 1.4

Glencoe: 7.8

Lesson Essential Question(s):

How do I use average to find a midpoint?

(A)

How do I find the distance between two points?

(A)
Lesson Essential Question(s):

How do I use the Pythagorean Theorem?

(A)
Lesson Essential Question(s):

How do I simplify radicals?

(A)
Additional Information:

Consult the FCAT Test Specification to further clarify the concepts that should be reviewed. Use supplemental activities from the publishers.

Liberal Arts Math: A Bridge from Algebra to Geometry (Pearson/Prentice Hall) Chapters 11, 12, and 13

Integrated Math Course 1 (Glencoe) Chapters 7 and 8

Pasco Math Performance Tasks (PMPT): Home Improvement, Pool Tiles, Roll Poly Roll, Stop That Plane!, Top Of The Tree

Prentice-Hall Algebra I, II, and Geometry test generator

Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • perimeter -
  • radical -
  • Pythagorean Theorem -
  • midpoint -
  • slope -
  • lateral area -
  • perfect square -
  • hypotenuse -
  • surface area -
  • polygon -
  • radicand -
  • area -
  • volume -
  • legs -
  • slant height -
  • altitude (height) -
  • base area -
  • circumference -
  • base -
  • length -
  • width -
  • diameter -
  • radius -
  • pi -
  • diagonal -