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Transcript
Unit 1
Equations and Inequalities
Learning Goal :
The student is expected to create
equations and inequalities in one
variable and use them to solve
problems explaining each step and
constructing viable argument to justify
their solution method. When given a
real world scenario they must also state
any constraints and interpret the
solution of the equations or inequalities
in its context.
Essential Questions:
How do you use quantitative reasoning to
solve real-world problems?
How can you use algebraic models to
solve real-world problems?
How do you use an equation to model and
solve a real-world problem?
How do you rewrite formulas and literal equations?
How do you write and solve an inequality that
represents a real-world situation?
How can you solve a compound inequality and
graph the solution set?
Standards in this unit
MAFS.912.A-REI.1.1: (DOK 3).
MAFS.912.A-CED.1.1: (DOK 2)
Explain each step in solving a simple equation
as following from the equality of numbers
asserted at the previous step while recalling
the properties of equality starting from the
assumption that the original equation has a
solution. Construct a viable argument to justify
a solution method.
Create equations and inequalities with one
variable and use them to solve problems and
model real-world situations Describe the
relationships between the quantities in the
problem, express these relationships using
mathematical operations to create an
appropriate equation or inequality
MAFS.912.A-CED.1.3: (DOK 3)
Represent constraints by equations or
inequalities, and interpret solutions as viable or
non-viable options in a modeling context.
MAFS.912.A-CED.1.4 (DOK 1)
Rearrange formulas to highlight a quantity of
interest, using the same reasoning as in solving
equations. For example, rearrange Ohm’s law V
= IR to highlight resistance R.
August 15-September 9
Length of Unit
17 days
Assessments
Pre Test-______ Equation Quiz 1 ______
Equation Quiz 2 ______ Inequality Quiz _____
Unit 1 Test _____
Unit 1
Equations and Inequalities
MAFS.912.A-REI.2.3: (DOK 3)
MAFS.912.A-SSE.1.1:a (DOK 2)
MAFS.912.A-SSE.1.1:b (DOK 2)
1. Precision
2. Accuracy
3. Significant digits
4. Equation
5. Expression
6. Numeric expression
7 Algebraic expression
8. Term
9. Coefficient
10. Constant
11. Variable
12. Solution
13. Properties of equality
14. Union/ disjunction
Solve linear equations and inequalities in one
variable, including equations with coefficients
represented by letters. Recall properties of
equality
Interpret expressions that represent a quantity in
terms of its context. Interpret parts of an
expression, such as terms, factors, and
coefficients
Interpret expressions that represent a quantity in
terms of its context. Interpret complicated
expressions by viewing one or more of their parts
as a single entity.
Vocabulary
Online Resources:
15. Literal Equation
16. Inequality
17. Compound Inequality
18. Intersection/conjunction
19. Absolute Value
20. Simplify
21. Proportion
22. Ratio
23. Scale Model
24. Dimensional Analysis
25. Conversion factor
www.algebranation.com
User name: last, first
Password: Student number
www.thinkcentral.com
User name: computer sign in
Password: Student number
www.khanacademy.org
you create using Gmail Acct. schoology.
Unit 1
Equations and Inequalities
Day 1 Whole Class 1. Pre test
Unpack the standards
Path A Class Driven
Path B Computer Driven
Day 2 Introduce Unit –Bell ringer Unit 1 Page 2
I do assess and Monitor We do Cornell Notes:
Modeling with Expressions Page 45-47 You do
Homework Page 49-52
Day 2
Day 3 Solving one and two step equations
I do Assess and Monitor We do: Cornell Notes
and Page 8 Your turn You do: Homework Page
9-13
Password student number
Day 4 Multi step Equations with distributing
and clearing decimals and fractions I do: Assess
& Monitor We Do: Cornell Notes You Do:
Homework Worksheet
Day 5 Equations with Variables on both sides
I do: Assess & Monitor We Do: Cornell Notes You Do: Homework Worksheet
Day 6 Cooperative Day – Scribe and Squire Page
62 -66 (1-25) Homework: Create a four square
thinking map and explain how to solve these 4
types of equations using properties. At least
one square must be a real world scenario.
Day 7 Special Equations & Equation Quiz
I do: assess & Monitor We do: Cornell Notes:
You do: Worksheet
Go to Math Nation. Sign in
User name last name first initial
Create Cornell Notes with summaries included
on the following videos.
NGSSS – Section 3 longer version video 1 &2
NGSSS Section 3 Longer Version video 2
NGSSS Section 3 Longer Version video 3
Teacher check________
Equation Quiz 1
NGSSS Section 4 Longer Version video 1
NGSSS Section 4 Longer Version video 3
Extra Practice Problems – Optional
Teacher Check__________
Equation Quiz 2