| Lessons |
Lesson
Summary
|
| Lessons 7.0 to 7.4 give students some concept
of growth involving exponents.
Lessons 7.4 to 7.7 involve essential Algebra Utah core objectives.
Lessons 7.8 to the end introduce exponential and quadratic
frowth, not essential. |
| For
virtual manipulatives for algebra, please see: (scroll down)
http://matti.usu.edu/nlvm/nav/grade_g_3.html |
| Alg
7.0 Comparing Linear and Nonlinear
PDF
|
Students
compare graphs of several standard nonlinear functions to
a linear function graph. They explain why equations creates
specific graphs.
|
| Alg
7.1 Discovering Function Rules
PDF
|
Students
examine the patterns in nonlinear data. They relate these
patterns to the standard exponential and quadratic functions.
|
Alg
7.2 Critters, Exponential
PDF
|
Students
collect data which models an exponential growth function.
|
Alg
7.3 Bouncing Ball, Quadratic
PDF |
Students
collect data which models a quadratic growth function. |
Alg
7.4 Exponent Rules
PDF
|
Students
derive the rules of exponents, compare their rules with the
textbook, and come up with ways to differentiate the rules.
|
Alg
7.5 A Million, A Millionth
PDF
|
Studenst
explore concepts of large numbers, calculate the size of a
million related to every day measurements, calculate the time
needed to count to a googol, use scientific notation to calculate
how long it would take to fly to distant stars. Practice on
operations using scientific notation is also included. |
|
Alg
7.6a-b Area Models, Intro and Distribute
ALGEBLOCK
NOTES
Alg
7.6c Perimeter, Area, Volume Using Algeblocks
|
In
this lesson, students are introduced to area models and
develop an understanding of the distributive property .
(algeblocks
and/or Geometer's Sketchpad)
Students
use algeblocks to create shapes with specified perimeter
and area dimensions—these dimensions involve variables.
|
| Alg
7.7a-d Using Area Models
Alg 7.7a Multiply binomials I
Alg
7.7b Factor Trinomials I
Area Model Concentration
Alg 7.7c Multiply Binomials II
Alg 7.7d Factor Trinomials II
Secret
to Factoring Trinomials
|
Students
use area models to learn about multiplication of monomial
and binomials. They observe patterns and develop strategies
for factoring polynomials. In 7.7a they multiply binomials
(positive values).
In 7.7b students factor trinomials (positive values). Use
Area Model Concentration game to reinforce learning from 7.7b.
In 7.7c, students multiply binomials, including negative values.
In 7.7d, students factor trinomials, including negative values.
Incorporate The Secret to Factoring Trinomials with 7.7d.. |
Alg
7.8 Factoring Practice
PDF
Mystery Lots Assessment |
Students
use area models to build and factor trinomials. They observe
patterns and develop strategies for specifc types of trinomials.
Students
use their knowledge of area models to solve problems centered
on city planning and building lot sizes
|
| Alg
7.9 Exponential Function Labs PDF |
Student
engage in the following labs: 1) One Grain of Rice, 2) How
Long is this Fractal?, 3) Credit Card Investigation: |
Alg
7.9b Quadratic Function Labs
PDF
|
In the first lab, students use CBRs to examine the patterns
in ball bounces. In “The Arrow, The Ball and the Rock,”
students solve problems using the standard quadratic equation
relating height and time. |
Algebra
Function Projects
PDF
|
These
projects are an opportunity to investigate and present group
projects. Students will select an experiment, collect and
analyze data, and make presentations about their findings. |
