For
virtual manipulatives for basic algebra, please see: (scroll
down) http://matti.usu.edu/nlvm/nav/grade_g_3.html
Note:
Students often have difficulty with the transition from
concrete numbers to abstract symbolic notation. The following
resources are recommended to help this transition. Alg
3.3 below also addresses this critical transition.
Algebra Thinking First Experiences, by Linda Holden
Charles, published by Creative Publications
Try
A Tile, Logic With Algebra, by Marcy Cook, published
by Creative Publications.
Algebra
Tile Activities, by Don Balka.
|
| Lessons |
Lesson
Summary |
| Alg
3.1 Build and solve PDF
PowerPoint
Intro
Equation
Stories |
Students
use Hands On Equation manipulatives to model and solve simple
and complex equations. Use PowerPoint presentation to help
with intro.
Students
write equations ord problems and word problems from equations.
They solve and check solutions. |
|
Solving
Equations Foldable I
My
Equation Toolbox Foldable II
Part 1 (teacher)
Part
2 (teacher)
Part
1 (student)
Part
2 (student)
|
Students
use foldables to help them differentiate and remember the
steps in solving equations. |
| Alg
3.1b Variables on both sides
PDF
*Random
Numbers Chart
*PDF
|
Students
link to NCTM Illuminations applet to write and solve equations
using different x values. *Access the random numbers link
at left. |
Alg
3.2 Solving Multi-step Equations (round or relay)
PDF
|
Students
work in groups to practice and check all of the steps involved
in solving complex equations, variables on both sides, distributive
property, etc. |
| Alg
3.3a Thinking Backwards: Stories for Equations
Alg 3.3b I Love a Parade
|
Students
work backwards to write the word problem to go with given
equations. They also practice writing and solving equations
from word problems.
Using various variables from a parade context, students create
algebraic expressions and then equations to solve. Part II
involves writing equations from stories. |
Alg
3.4 Develop and Use Formulas PDF
*Formula
Jeopardy PP |
Students
derive the formula for D = RT and estimate distance, rate
and times. They use a CBR to find the exact rate of speed.
They practice using formulas to solve problems. *Access Jeopardy
game |
Alg
3.4b Catapult Gumball Launch
PDF
|
Students
find average distances and times for launches, then find the
rate of speed using the D = RT formula. |
Alg
3.5 Flagpole Proportions
PDF
|
Students
students apply three methods tof find the height of a flagpole
using proportional equations and similar figures.
|
Alg
3.6 Proportion Activities
PDF
|
In
The One Foot Tale, students find proportional relationships
as in Gulliver’s Travels. In the Pre Space Mission Needs,
students apply proportions in the context of preparing for
a mission in space. |
Alg
3.7 Using Proportions
PDF
|
Students
use proportion to solve problems in several contexts; percentages,
rates, scale drawings, size, statistics, probability, similar
figures and other mathematical relationships.
|
