Pre-Algebra
Units
ESSENTIAL IMPORTANT COMPACT
Computation/Statistics 3. Topic: Mental Computation
(NUMBER SENSE) 24
1. Topic: Problem Solving, Reasoning, 21. Topic: Addition Patterns, Algebra, Topic: Number Systems and Number Theory
Estimation Geometry, Measurement, Computation, Standard: Recognizes, describes, and applies
Standard: Solves problems, reasons, and Number Systems and Number Theory certain properties for addition
estimates throughout mathematics: 26
Topic: Subtraction Patterns, Algebra, 35
2 Topic: Mental Computation and Estimation Geometry, Measurement, Computation, Topic: Algebra, Number Systems and Number
Standard: Selects and uses appropriate Number Systems and Number Theory Theory
estimation strategies, such as rounding, 31. Topic: Graphing Models, Statistics Standard: Recognizes, describes, and applies
truncating, Standard: Reads and interprets tables, charts, certain properties of multiplication
graphs 49
[15] 34. Topic: Multiplication Patterns, Algebra, Topic: Probability
Topic: Algebra, Computation, Number Geometry, Computation, Measurement, Standard: Differentiates between odds and
Systems and Number Theory Number Systems and Number Theory probability and determines the odds of an
Standard: Uses order of operations (with and 47 event.
without grouping symbols) to find the value of Topic: Statistics, Problem Solving 50
a numerical expression, selecting and using Standard: Summarizes data in various ways, Topic: Probability
appropriate tools such as mental computation including mean, median, mode, and range. Standard: Conducts and interprets a compound
and calculators probability experiment.
29
Topic: Graphing Models, Patterns, Statistics
Standard: Collects and organizes information or
data by classifying or identifying patterns, and
organizes data into tables, charts, and graphs
43
Topic: Estimation, Number and Number
Relationships
Standard: Estimates and determines exact or
approximate values of the square root of a
number
ESSENTIAL IMPORTANT COMPACT
Rational Numbers
22
[%, & dec., ratios, & Rates Topic: Addition Patterns, Geometry,
4 Measurement, Number and Number
Topic: Special Uses of Rational Numbers, Relationships
Number and Number Relationships Standard: Relates rational numbers on the
Standard: Expresses, orders, and categorizes number line to the concept of absolute value
rational numbers in various forms, such as and the perimeter of a polygon.
fractions, decimals, percent, and scientific
notation using tools such as calculators and 48
number lines. Topic: Probability
4 Standard: Identifies possible outcomes of
Topic: Special Uses of Rational Numbers, simple experiments and predicts or describes
Number and Number Relationships the probability of a given event expressed as a
Standard: Expresses, orders, and categorizes rational number from 0 through 1
rational numbers in various forms, such as
fractions, decimals, percent, and scientific
notation using tools such as calculators and
number lines.
[6]
Topic: Special Uses of Rational Numbers,
Problem Solving
Standard: Uses the appropriate equivalent
forms of rational numbers to solve problems
involving fractions, decimals, or percent.
[23]
Topic: Computation
Standard: Adds, subtracts, multiplies, and
divides rational numbers.
ESSENTIAL IMPORTANT COMPACT
Rational numbers cont.
39
Topic: Division Patterns, Algebra, Number
Systems and Number Theory
Standard: Models the concept of division (as
rate, ratio comparison, and missing factors)
41
Topic: Geometry, Probability, Problem
Solving, Number and Number Relationships
Standard: Writes and solves problems
involving rate, ratio, and proportion, such as
situations involving corresponding sides of
similar figures, scale drawings, unit cost,
distance-rate-time, relative frequency, and
simple probability.
51
Topic: Commission, Discount, Sales Tax,
Sales Price, Percent
MEASUREMENT
7.Topic: Measurement 10
Standard: Selects appropriate units to measure Topic: Measurement, Geometry
length (including perimeter and circumference), Standard: Measures and classifies angles as
area, volume/capacity, weight/mass, time, and right, acute, or obtuse
temperature in both the customary and metric 11
systems Topic: Measurement, Geometry
8 Topic: Measurement, Estimation, Problem Standard: Classifies triangles as right, acute, or
Solving Standard: Estimates, measures, and obtuse by their angle measures and as scalene,
solves problems using both customary and isosceles, or equilateral by their side measures.
metric systems. 12
9. Topic: Measurement, Geometry Topic: Measurement, Geometry
Standard: Selects appropriate measuring Standard: Uses square units to determine the
instruments and measures accurately length, area of two-dimensional geometric figures
volume/capacity, weight/mass, time, without using formulas.
temperature, and angles.
ESSENTIAL IMPORTANT COMPACT
MEASUREMENT CONT. 13
14. Topic: Measurement
Standard: Changes from one unit of Topic: Measurement, Geometry
measurement to another within the same Standard: Uses cubic units to determine the
measurement system. volume of three-dimensional figures without
45 using formulas.
Topic: Measurement, Formulas, Geometry, 28
Problem Solving Topic: Geometry, Measurement
Standard: Calculates the area and Standard: Solves problems using the property
circumference of a given circle and solves that the sum of the measures of the angles in a
problems involving area or circumference. triangle is 180 degrees.
VARIABLES/ALGEBRA 44
Topic: Measurement, Formulas, Geometry,
Problem Solving
[16] Standard: Applies the Pythagorean Theorem
Topic: Introduction to Variables, Algebra and its converse in problem-solving situations
Standard: Translates words into simple
numerical and algebraic expressions and
equations, and translates expressions and
equations into words.
[17]
Topic: Introduction to Variables, Algebra
Standard: Evaluates expressions involving
variables.
ESSENTIAL IMPORTANT COMPACT
VARIABLES CONT.
[18] Topic: Introduction to Variables, Algebra,
Problem Solving
Standard: Substitutes known values in
formulas, with and without grouping symbols,
and solves problems involving formulas.
19. Topic: Introduction to Variables, Algebra,
Geometry
Standard: Graphs simple and compound .
inequalities on a number line.
[25]Topic: Algebra, Problem Solving
Standard: Solves equations and applied
problems using the form x + a = b, x - a = b,
and a - x = b.
[30] Topic: Graphing Models, Algebra,
Geometry, Problem Solving
Standard: Graphs points in the coordinate
plane, identifies coordinates of points, graphs
linear equations, and solves problems using
these concepts.
[37]Topic: Algebra, Problem Solving
Standard: Solves equations and applied
problems of the form ax = b, ax + b = c, ax + b
= cx + d, x/a = b and x/a + b = c.
[38] Topic: Algebra, Number Systems and
Number Theory
Standard: Applies the distributive property of
multiplication over addition of the form
a(b+c)=ab+ac and ab+ac=a(b+c).
[40] Topic: Number and Number
Relationships
Standard: Solves proportions, including using
the means-extremes property.
43.Topic: Estimation, Number and Number
Relationships
Standard: Estimates and determines exact or
approximate values of the square root of a
number
ESSENTIALS IMPORTANT COMPACT
GEOMETRY 20.Topic: Geometry
Standard: Identifies physical and symbolic
representations of geometric figures, such as
points, lines, planes,
27.Topic: Geometry, Problem Solving
Standard: Identifies physical and symbolic
representations of vertical, supplementary,
complementary, and straight angles; parallel
and perpendicular lines; transversals
32.Topic: Graphing Models, Geometry
Standard: Identifies congruent figures (images
and preimages
33.Topic: Graphing Models, Geometry
Standard: Identifies line and rotational
symmetries
42. Topic: Measurement, Formulas, Geometry
Standard: Calculates the area of polygons and
solves problems involving such areas.
46.Topic: Measurement, Formulas,
Geometry, Problem Solving
Standard: Calculates the volume and
surface area of pyramids, cylinders,
cones, and spheres and solves problems
involving volume and surface area.