HSA-SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*

 
71 Lesson(s)
Scroll to child tags
   

Polynomial Puzzles 3: Multiplying and Factoring Polynomials

Algebra I » Unit: Polynomial Expressions
Algebra I » Unit: Polynomial Expressions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This lesson will help students to see that multiplying and factoring trinomials are inverse operations

 
Favorites (25)
 
Resources (12)
polynomials multiply factor image resized
   

Finding Roots of All Sorts

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

In this fast-paced lesson, students are introduced to as many ideas as they can handle, while also being given space to make their own sense of those ideas.

 
Favorites (4)
 
Resources (24)
 
Reflections (1)
u6 l5 sw can you factor it i p1
   

Features of a Parabola

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students finish up the Quadratic Functions Gallery Walk and begin to spot connections between where the roots and where the vertex are located.

 
Favorites (3)
 
Resources (18)
 
Reflections (1)
u6 l9 example graph and table
   
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Will the dog be able to reach its bone? Students apply the definition of a circle, along with a method for determining whether or not a point lies on a circle.

 
Favorites (8)
 
Resources (14)
 
Reflections (1)
screenshot 2014 05 13 15 24 12
   

What if We Start With the Axis of Symmetry?

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

An investigation of the relationship between the discriminant and the axis of symmetry lays foundations for students to understand the quadratic formula.

 
Favorites (1)
 
Resources (26)
 
Reflections (1)
u6 l13 five point graph example
   

Standard Form of Circle Equations

12th Grade Math » Unit: Circles
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

How can I tell if this weird-looking equation will make a circle when I graph it? Students discover how to apply previous knowledge about completing the square to a new problem.

 
Resources (13)
 
Reflections (1)
concentric circles
   
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

This fast-paced lesson introduces multiplication of binomials and factoring of quadratic expressions for the first time, which sets students up to explore both in depth over the next few days.

 
Favorites (11)
 
Resources (22)
 
Reflections (1)
u6 l3 big idea for slt 601 ii
   

Moving Toward Mastery: Completing the Square (Day 2)

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students will continue to see that graphing quadratic equations and solving them work in tandem: the better we understand one, the more sense the other will make!

 
Favorites (1)
 
Resources (15)
 
Reflections (1)
u6 l18 graphing example
   

Can You Factor It?

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

Students make a list of perfect squares before keep a close watch to see where these special numbers pop up!

 
Favorites (5)
 
Resources (21)
 
Reflections (1)
u6 l4 what do you notice
   

Circle Lattice Points

12th Grade Math » Unit: Circles
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Instead of telling students the equation for a circle, developing it themselves enables students to make the connection between circles and the Pythagorean Theorem.

 
Favorites (2)
 
Resources (10)
screenshot 2014 05 13 15 34 04
   

Quadratic Functions in Three Forms

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

An brief adventure in number theory provides some background knowledge for completing the square, then students get to practice manipulating quadratic expressions in different forms.

 
Favorites (6)
 
Resources (24)
 
Reflections (3)
u6 l6 sw extension with graphs l14 option p1
   

Comparing Investments

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

To guide students in practice to develop meaning for each variable in either formula in order to make correct substitutions and evaluations.

 
Favorites (5)
 
Resources (16)
 
Reflections (1)
comparing investments
   

Connecting Expressions to Area

Algebra I » Unit: Understanding Equations
Algebra I » Unit: Understanding Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Students form a concept image by representing area as the product of binomial factors.

 
Favorites (3)
 
Resources (22)
 
Reflections (1)
connecting expressions and area
   

Writing Circle Equations

12th Grade Math » Unit: Circles
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

After thinking deeply about the Pythagorean Theorem and the key properties of circles, students are able to generate circle equations themselves.

 
Favorites (2)
 
Resources (12)
screenshot 2014 05 13 15 25 18
   

Circle Review Session and Portfolio Workshop

12th Grade Math » Unit: Circles
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

When students design their own review session and their own portfolios, you have time to work with each individual student to ensure that they get the most out of this learning opportunity.

 
Favorites (1)
 
Resources (6)
circle maze

Factor a quadratic expression to reveal the zeros of the function it defines.

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close