Subject___Math____
Grade___9th_____
School__FHS__________
Strand Algebra 1 Unit #1 Topics Solving Equations and Inequalities – one variable
SIMPLE (Level 2)
COMPLEX (Level 3)
Taxonomy: Retrieval - Executing
Taxonomy: Knowledge Utilization
Element: Solving real world problems using multi- Element: Solve real world problems using multistep equations.
step equations.
The length of a rectangle is 6 inches more than
its width. The perimeter of the rectangle is 24
inches. What is the length of the rectangle?
Taxonomy: Retrieval - Executing
Element: Simplifying multi-step expressions
Taxonomy: Analysis – Analyzing Errors
Element: Simplifying multi-step expressions
Find and explain what error there is if any.
Simplify:
5x –3(2 + 4x) - 8
3x – 2x + 4(=5x – 6) + 1
= 1x – 20x – 24 + 1
= 19x – 23
Taxonomy: Retrieval - Recognition
Taxonomy: Analysis – Specifying
Element: Solve and Graph 1 variable inequalities
Element: Solve Compound Inequalities
Solve: -5n + 16  -7n - 4
2x – 1| > 13 has two answers. If you change the
> to  how do the answers change?
A. n  -10
C. n  10
B. n  - 10
D. n  10
GOING BEYOND (Level 4)
Extend to graphing in a two dimensional coordinate plane.
Graph the equation y = x + 4
Subject___Math_____
Grade__9____
School____FHS___________
Strand_Algebra 1_Unit #2 Topics Linear Equations and Inequalities – two variables
SIMPLE (Level 2)
Taxonomy Retrieval - Recognizing
Element: Write linear equations in point-slope
form.
Which of the following equations of a line are in
point-slope form?
A.
B.
C.
D.
2x + 3y = -4
3y = 9x + 12
y – 8 = 2(x + 3)
x–y=4
Taxonomy: Retrieval - Recognition
Element: Graph two variable equations
that are absolute values.
Graph:
COMPLEX (Level 3)
Taxonomy: Comprehension – Symbolize & Integrate
Element: Write and transform linear equations.
Given the points (-3, 6) and (1, 22).
a. Write the equation of a line in point-slope
form. Identify the key values.
b. Write the equation from part a in slopeintercept form. Identify the key values.
Taxonomy: Knowledge Utilization - Investigating
Element: Graphing two variable inequalities.
Given the graphs of y ≥ |x| + 4 and y ≤ |x| - 4,
Describe the differences in the graphs.
y = |x| + 2
Taxonomy: Retrieval - Execute
Taxonomy: Analysis – Specifying
Element: Graph linear inequalities.
Element: Model 2 variable equations with table and
graphs.
Write the linear inequality that transforms
Y < 2x + 3 down 5 units.
Describe the transformations and compare it to the
parent function y = |x|.
Y = -2|x + 1| - 3
GOING BEYOND (Level 4)
Write and graph the inequality described. You have a group of kids that you are watching during the
summer. You have 6 boys and 11 girls in the group. You need to make a team to compete in the
Presidential Fitness Challenge. The group can have no more than 14 kids and you must have at least
8 girls and at least 3 boys on the team. Let x represent the boys and let y represent the girls.
Subject ___Math____
Strand: Algebra 1 Unit #3
Grade: __9___
School: ___FHS_________
Topic: _Systems of Linear Equations and Inequalities_
SIMPLE (Level 2)
COMPLEX (Level 3)
Taxonomy
Retrieval-Executing
Element: Solving systems graphically
Taxonomy: Analysis- Specifying
Element: Solving systems graphically
Solve the linear system by graphing.
Find the solution. Explain how you know that the
graph is the solution to the system that is given.
y=x–2
y = -x + 4
-x + y = 2
Taxonomy Retrieval-Executing
Element: Solving two variables Systems by
elimination or substitution methods.
Choose a method to solve the linear system. Explain
your choice and then solve the system.
7x + 8y = 25
9x + 10y = 35
Taxonomy: Retrieval- Recognition
Element: Solve System of Inequalities by graphing
Match the graph with the correct system of linear
inequalities.
a) x + 2y < 2
x + 2y > -2
b) x – 2y > 4
2x – y > -2
c) 2x + 2y > -4
-2x – y > 2
GOING BEYOND (Level 4)
Extend to solve a system of equations with 3 variables.
2x – 5y + 6z = -19
5y = 15
2z – 10y = -34
2x + y = 8
Taxonomy: Knowledge Utilization-Prob. Solving
Element: Solving two variables Systems by
elimination or substitution methods.
Use the following information to solve the linear
system.
Randy has some $1 bills and $5 bills in his wallet. He
has 15 bills in all. He counts the money and finds he
has $47. How many of each type of bill does Randy
have?
Taxonomy: Knowledge Utilization- Prob. Solve
Element: Solve real world problems using
systems of linear inequalities
Kristen and Jody disagreed about how to solve a
problem and have asked you for help. They have
220 ft of ribbon to section off a rectangular space in
the gymnasium for a dance floor, but cannot decide
on the dimensions. The dance floor has to be at least
70 ft long to accommodate the anticipated number of
dancers.
Write a system of inequalities. Then draw a graph
that shows all of the possible dimensions of the
dance floor.