7TH GRADE ACCELERATED MATHEMATICS SYLLABUS
PAGE PROTECTOR  PAGE PROTECTOR  PAGE PROTECTOR  PAGE PROTECTOR
SEMESTER 1: AUGUST 18, 2015 – DECEMBER 18, 2015
MODULE 1: ADDING AND SUBTRACTING INTEGERS
(8 DAYS)
 1.1 – ADDING INTEGERS WITH THE SAME
SIGN
 1.2 – ADDING INTEGERS WITH DIFFERENT
SIGNS
 1.3 – SUBTRACTING INTEGERS
 1.4 – APPLYING ADDITION AND
SUBTRACTION OF INTEGERS
MODULE 2: MULTIPLYING & DIVIDING INTEGERS (7
DAYS)
 2.1 – MULTIPLYING INTEGERS
 2.2 – DIVIDING INTEGERS
 2.3 – APPLYING INTEGER OPERATIONS
MODULE 3: RATIONAL NUMBERS (10 DAYS)
 3.1 – RATIONAL NUMBERS AND DECIMALS
 3.2 – ADDING RATIONAL NUMBERS
 3.3 – SUBTRACTING RATIONAL NUMBERS
 3.4 – MULTIPLYING RATIONAL NUMBERS
 3.5 – DIVIDING RATIONAL NUMBERS
 3.6 – APPLYING RATIONAL NUMBER
OPERATIONS
MODULE 14: REAL NUMBERS (7 DAYS)
(8TH GRADE MODULE 1)
 14.1 – RATIONAL AND IRRATIONAL
NUMBERS
 14.2 – SETS OF REAL NUMBERS
 14.3 – ORDERING REAL NUMBERS
MODULE 15: EXPONENTS AND SCIENTIFIC
NOTATION (7 DAYS)
(8TH GRADE MODULE 2)
 15.1 – INTEGER EXPONENTS
 15.2 – SCIENTIFIC NOTATION WITH
POSITIVE POWERS OF 10
 15.3 – SCIENTIFIC NOTATION WITH
NEGATIVE POWERS OF 10
 15.4 – OPERATIONS WITH SCIENTIFIC
NOTATION
MODULE 4: RATIOS & PROPORTIONALITY (7 DAYS)
 4.1 – UNIT RATES
 4.2 – CONSTANT RATES OF CHANGE
 4.3 – PROPORTIONAL RELATIONSHIPS AND
GRAPHS
MODULE 16: PROPORTIONAL RELATIONSHIPS (7
DAYS)
(8TH GRADE MODULE 3)
 16.1 – REPRESENTING PROPORTIONAL
RELATIONSHIPS
 16.2 – RATE OF CHANGE AND SLOPE
 16.3 – INTERPRETING THE UNIT RATE AS
SLOPE
MODULE 17: NONPROPORTIONAL RELATIONSHIPS
(8 DAYS)
(8TH GRADE MODULE 4)
 17.1 – REPRESENTING LINEAR
NONPROPORTIONAL RELATIONSHIPS
 17.2 – DETERMINING SLOPE AND YINTERCEPT


17.3 – GRAPHING LINEAR
NONPROPORTIONAL RELATIONSHIPS USING
SLOPE AND Y-INTERCEPT
17.4 – PROPORTIONAL AND
NONPROPORTIONAL SITUATIONS
MODULE 5: PROPORTIONAL & PERCENT (7 DAYS)
 5.1 – PERCENT INCREASE AND DECREASE
 5.2 – REWRITING PERCENT EXPRESSIONS
 5.3 – APPLICATIONS OF PERCENT
MODULE 6: EXPRESSIONS & EQUATIONS (8 DAYS)
 6.1 – ALGEBRAIC EXPRESSIONS
 6.2 – ONE-STEP EQUATIONS WITH
RATIONAL COEFFICIENTS
 6.3 – W RITING TWO-STEP EQUATIONS
 6.4 – SOLVING TWO-STEP EQUATIONS
SEMESTER 2: JANUARY 11, 2016 – JUNE 10, 2016
MODULE 18: WRITING LINEAR EQUATIONS (8 DAYS)
(8TH GRADE MODULE 5)
 18.1 – W RITING LINEAR EQUATIONS FROM
SITUATIONS AND GRAPHS
 18.2 – W RITING LINEAR EQUATIONS FROM A
TABLE
 18.3 – LINEAR EQUATIONS AND BIVARIATE
DATA
MODULE 7: INEQUALITIES (7 DAYS)
 7.1 – W RITING & SOLVING ONE-STEP
INEQUALITIES
 7.2 – W RITING AND SOLVING TWO-STEP
INEQUALITIES
 7.3 – SOLVING TWO-STEP INEQUALITIES
MODULE 10: ANALYZING & COMPARING DATA (7
DAYS)
 10.1 – COMPARING DATA DISPLAYED IN DOT
PLOTS
 10.2 – COMPARING DATA DISPLAYED IN BOX
PLOTS
 10.3 – USING STATISTICAL MEASURES TO
COMPARE POPULATIONS
MODULE 11: RANDOM SAMPLES & POPULATIONS (7
DAYS)
 11.1 – POPULATIONS & SAMPLES
 11.2 – MAKING INFERENCES FROM A RANDOM
SAMPLE
 11.3 – GENERATING RANDOM SAMPLES
MODULE 12: EXPERIMENTAL PROBABILITY (8 DAYS)
 12.1 – PROBABILITY
 12.2 – EXPERIMENTAL PROBABILITY OF
SIMPLE EVENTS
 12.3 – EXPERIMENTAL PROBABILITY OF
COMPOUND EVENTS
 12.4 – MAKING PREDICTIONS WITH
EXPERIMENTAL PROBABILITY
MODULE 13: THEORETICAL PROBABILITY &
SIMULATIONS (9 DAYS)
 13.1 – THEORETICAL PROBABILITY OF SIMPLE
EVENTS
 13.2 – THEORETICAL PROBABILITY OF
COMPOUND EVENTS
 13.3 – MAKING PREDICTIONS WITH
THEORETICAL PROBABILITY
 13.4 – USING TECHNOLOGY TO CONDUCT A
SIMULATIONS
MODULE 8: MODELING GEOMETRIC FIGURES (8
DAYS)
 8.1 – SIMILAR SHAPES AND SCALE DRAWINGS
 8.2 – GEOMETRIC DRAWINGS
 8.3 – CROSS SECTIONS
 8.4 – ANGLE RELATIONSHIPS
MODULE 19: TRANSFORMATIONS AND CONGRUENCE
(9 DAYS)
(8TH GRADE MODULE 9)
 19.1 – PROPERTIES OF TRANSLATIONS
 19.2 – PROPERTIES OF REFLECTIONS
 19.3 – PROPERTIES OF ROTATIONS
 19.4 – ALGEBRAIC REPRESENTATIONS OF
TRANSFORMATIONS
 19.5 – CONGRUENT FIGURES
MODULE 20: TRANSFORMATIONS AND CONGRUENCE
(7 DAYS)
(8TH GRADE MODULE 10)
 20.1 – PROPERTIES OF DILATIONS
 20.2 – ALGEBRAIC REPRESENTATIONS OF
DILATIONS
 20.3 – SIMILAR FIGURES
MODULE 21: ANGLE RELATIONSHIPS IN PARALLEL
LINES AND TRIANGLES (7 DAYS)
(8TH GRADE MODULE 11)
 21.1 – PARALLEL LINES CUT BY A
TRANSVERSAL
 21.2 – ANGLE THEOREMS FOR TRIANGLES
21.3 – ANGLE-ANGLE SIMILARITY
MODULE 9: CIRCUMFERENCE, AREA, & VOLUME (9
DAYS)
 9.1 – CIRCUMFERENCE
 9.2 – AREA OF CIRCLES
 9.3 – AREA OF COMPOSITE FIGURES
 9.4 – SOLVING SURFACE AREA PROBLEMS
 9.5 – SOLVING VOLUME PROBLEMS
MODULE 22: VOLUME (7 DAYS)
(8TH GRADE MODULE 13)
 22.1 – VOLUME OF CYLINDERS
 22.2 – VOLUME OF CONES
 22.3 – VOLUME OF SPHERES
7TH GRADE COMMON CORE STANDARDS OVERVIEW
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8TH GRADE COMMON CORE STANDARDS OVERVIEW
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