Unit 3 Standards for Algebra Prep (Math C)

DRAFT – Math C
Unit 3A – Expressions, Equations and Inequalities
Enduring
Understanding
Essential Question
Patterns and relationships
can be represented
graphically, numerically,
symbolically, and verbally.
Why are equations and inequalities useful?
Glencoe Resource
Indicators
1.8.2.1 combine like terms in variable expressions.
1.8.3.1 solve linear equations and inequalities in one variable.
6.8.6.1 explain and apply number relationships using the mathematical properties of operations,
including the distributive property and the additive inverse.
Resources
Review
Reading
Mathematics:
Translating
Expressions into
Words, p. 11
1-2
Numbers and
Expressions
1-3
Variables and
Expressions
1-4
Properties
1-5
Variables and
Equations
Algebra Activity:
Solving Equations
Using Algebra Tiles
pp. 108-109 in text
MCPS2002
Required
(1.8.2.1, 6.8.6.1)
The Super Source, Number, Grades 7-8,
“Concrete Foundations”; pp.87-91
IG (6.8.6.1)
The Additive Inverse of an Expression
3-1 (6.8.6.1)
The Distributive Property
3-2 (1.8.2.1, 6.8.6.1)
Simplifying Algebraic Expressions
Reading Mathematics: (1.8.2.1)
Translating Verbal Problems Into Equations
and Study Notebook, p. 125
3-5 (1.8.3.1)
Solving Two-Step Equations
3-6 (1.8.2.1, 1.8.3.1)
Writing Two-Step Equations
Reading to Learn Mathematics
Chapter 3 Resource Masters, p. 135
Study Guide and Intervention
4
Enrichment/
Acceleration
1-4
Enrichment Master 1-4
p. 20
3-1
Enrichment Master 3-1
p. 111
13-1
Polynomials
Algebra Activity:
Modeling Polynomials
with Algebra Tiles p.
673
13-2
Adding Polynomials
13-3
Subtracting
Polynomials
DRAFT – Math C
Unit 3B – Linear Functions and Relationships
Enduring
Understandings
Essential Questions
Patterns and relationships
can be represented
graphically, numerically,
symbolically, and verbally.
What makes a relationship linear?
Glencoe Resource
Why are linear functions useful?
Why are patterns and relationships represented in multiple ways?
Linear relationships are
characterized by a constant
rate of change.
Indicators
1.8.1.1 use written, oral, and symbolic language to identify and describe patterns, sequences, and
functions.
1.8.1.2 determine whether functions are discrete or continuous.
1.8.3.2 solve problems involving direct and inverse variation.
1.8.3.3 determine the rate of change (slope) of a linear function when represented graphically.
1.8.4.1 represent quantitative relationships graphically and interpret the meaning of a specific part of
a graph in the situation represented by the graph.
1.8.5.1 verify that points lie on a line, given an equation of the line.
1.8.5.2 graph linear equations on a coordinate plane.
4.8.3.2 make predictions about a set of data given the line of best fit.
4.8.3.3 fit a line to a set of data and make a prediction about the data.
Resources
Review
1-7
Scatter Plots
Graphing Calculator
Investigation:
Scatter Plots, p. 45
2-6
The Coordinate
System
MCPS2002
Required
1-6 (1.8.4.1)
Ordered Pairs and Relations
Algebra Activity (4.8.3.3)
Scatter Plots, p. 39
5-10 (1.8.1.1)
Arithmetic and Geometric Sequences
Algebra Activity (1.8.1.1)
Input and Output, p. 368
8-1 (1.8.1.1, 1.8.1.2)
Functions
40
Enrichment/
Acceleration
Algebra
Activity
Fibonacci
Sequence
(follows 5-10)
8-2 Enrichment
Master p. 426
8-4 Enrichment
Master p. 431