Academy of the Most Blessed Sacrament SIXTH GRADE MATH CURRICULUM MAP (Total days = 184)
(last updated August 2, 2019)
Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





I 
NUMBER FORMS & OPERATIONS ON DECIMALS 




first
trimester – 25 days 



AI1d1 
Place Value and Word Names (to trillions place and millionths place) 
Grade 5 1.1, 1.5 
1.1 

AI1d2 
Compare, Order, and Round Decimals (number
line; positives
only; round to underlined place,
greatest place, given word place, nearest cent or dollar, nearest whole
number) 
Grade 5 1.6, 1.7,2.1 
Page 2 SU 1.4 & 1.5 
3.1 
AI1d3 
Word Phrases / Arithmetic & Algebraic Expressions (write
arithmetic expressions as word phrases, write word phrases as arithmetic expressions; also,
four step method to solve realworld problems) 
0.1 
1.10 
2.1, 2.2 
AI1d4 
Add and Subtract Whole Numbers and Decimals (up
to four addends, including variables and substitution) 
Grade 5 2.6 0.2 
Pages 5&6 SU 1.7 – 1.11 
3.3 
AI1d5 
Estimate Decimal Sums and Differences (frontend
estimation and rounding) 
Grade 5 2.2 
1.6 
1.1, 3.2 
AI1d6 
Roman Numerals (without
aid of chart; use
supplemental materials with sums and differences of Roman numerals by
transforming to and from standard form)


Ch 1 enrich 

AI2d1 
Multiply Decimals by Whole Numbers, by Decimals (whole
numbers only; evaluate with substitution; some with addition and order of operations; SadOx
includes use of distributive property
to expedite multiplication of large numbers) (√ AL – word problems with multiple inputs) 
1.1c, 1.1e 
Page 9 SU 2.3, 2.4 
3.4 
AI2d2 
Divide Whole Numbers (short
division; express remainder as R, not as fraction or decimal; divide and
check) 
Grade 5 4.3, 4.4 
Page 10&11SU 3.1, 3.3 
1.2 
AI2d3 
Divide Decimals by Whole Numbers (no repeating decimals, annex zero in dividend, rounding to nearest tenth, substitution with fraction as division with orderofoperations; SadOx includes “divide and check”, and comparisons) 
1.2c 
3.5 
3.5 
AI2d4 
Divide Decimals by Decimals – Simple Cases (no repeating decimals; overcome obstacle of zeroes in division) 
1.2e 
3.8 
3.6 
AI2d5 
Divide Decimals by Decimals – With Complications (annex zero in dividend, fill zeroes before decimal in quotient, extending dividend and quotient when division is not “even”) 
1.2e 
3.9 

AI2d6 
Divide Decimals by Decimals – Rounding Quotient (rounding to nearest tenth, substitution with fraction as division with orderofoperations; SadOx includes comparisons, finding mean, rounding to nearest cent) 
1.2e 
3.12 

AI2d7 
Estimating Products and Quotients of Decimals (rounding
to whole numbers) 
1.1a, 1.2a 
2.2, 3.2, 3.7 
1.1 
AI2d8 
Evaluating Expressions with Multiplication and Division of Decimals (variables and substitution) 

3.10, 3.11 

AI2d9 
Interpreting the Remainder 
Gr. 5: 4.6 
3.13 
3.7 
AI3d1 
Exponents & Simple Square Roots (SadOx includes
find the missing exponent; Connects
includes products of decimals) 
1.3a 
2.5,Ch2 enrich 
1.3 
AI3d2 
Multiply by Powers of Ten 
1.3b 
2.1 

AI3d3 
Divide by Powers of Ten 
1.3c 
3.4, 3.6 

AI3d4 
Open and Closed Statements (determine
whether stmt is open or closed; find truth value) 

3.15 






Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





II 
INTEGERS & ARITHMETIC OPERATIONS 




first
trimester – 17 days 



AI1d1 
Number Line, Opposites, and Absolute Value (including
additive inverses, opposite of absolute value, word phrases, compare and
order integers) (√ AL – order of magnitude) (√ AL – ordering with word problems) 
7.3a, 7.3b pp 795797 
5.1, 5.2 
9.1, 9.2 
AI1d2 
The Coordinate Plane (plotting
ordered pairs in four quadrants, identifying coordinates of plotted points) 
7.3c 

7.3, 9.3 
AI1d3 
Add Integers (addition
sentence modeled on number line; up to three addends) 
Course 2 2.4 
5.3 part 1 

AI1d4 
Subtract Integers (subtraction
sentence modeled on number line; string of addends with mental math
and recognizing opposites) 
Course 2 2.5 
5.4 part 1 

AI1d5 
Mixture of Addition and Subtraction
of Integers 

supplemental 

AI1d6 
Polygons in the Coordinate Plane 


9.4 
AI1d7 
Transformations in the Coordinate Plane 


9.5 
AI2d1 
Multiply Integers (including
basic orderofoperations problems, inputoutput tables, comparisons, pattern
rules with geometric sequences and negative numbers) 
Course 2 2.6 
5.5 

AI2d2 
Divide Integers (including
basic orderofoperations problems, quotients as fractions, inputoutput
tables, comparisons, pattern rules with geometric sequences and negative
numbers) 
Course 2 2.8 
5.6 

AI2d3 
Order of Operations and Algebraic Expressions (including
quantities within quantities, powers; varied notation for multiplication;
using miniplusandminus symbols only) 

5.7 & 5.8 part 1 

AI2d4 
Challenging Algebraic Expressions with Integers (includes
parenthesis notation for negative numbers) 

supplemental 

AI2d5 
Expanded Form (3 types of expanded form; negative powers of 10) 

1.2, 1.3 

AI2d6 
Scientific Notation (positive
and negative exponents) 
Course 3 2.10 
2.6, 3.4 pt 2 



















































Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





III 
FRACTIONS, MIXED NUMBERS AND DECIMALS 




first
trimester – 21 days 



AI1d1 
Prime and Composite Numbers ; Divisibility Rules (factors,
multiples, divisibility rules through 10, except 7; find missing digit to
make number divisible) 

Page 3 SU 6.1, 6.2 
4.1 
AI1d2 
Prime Factorization (exponential
and long form, birthday cake and factor tree) 
Course 2 4.1 
6.3 
4.1 
AI1d3 
Sieve of Eratosthenes (a
shortcut to help determine whether an integer is prime) 

Ch6 enrich 

AI1d4 
Equivalent Fractions (complete
strings with missing terms;
reduce to lowest terms first) 

6.4 
4.3 
AI1d5 
GCF using Prime Factorization (up
to three numbers;
use “common to both” buddy system) 
Course 2 4.2 
6.5 
4.2 
AI2d1 
Simplifying Fractions (supplement
with fractions with large numerators and denominators that require prime
factorization) 
Course 2 4.4 
6.6 
4.5 
AI2d2 
Mixed Numbers and Improper Fractions (includes
renaming word names, simplifying mixed numbers and improper fractions;
supplement with examples of mixed numbers that contain improper fractions,
and negative mixed numbers) 

6.7 
4.6 
AI2d3 
Fraction Sense (plot
positive fraction on number line, close to zero half or one) 

6.8 

AI2d4 
LCM using prime factorization (include
sets of three numbers;
supplement with realworld problems) 
Course 2 4.8 
6.9 
5.1 
AI2d5 
Comparing and Ordering Fractions (rename
using LCD;
supplement to include negative fractions) 
4.3a, 4.3b 
6.10 & 6.11 
4.7 
AI3d1 
Writing Decimals as Fractions or Mixed Numbers (supplement with negative numbers) 
4.1a 
6.14 
4.4 
AI3d2 
Writing Fractions or Mixed Numbers as Decimals (nonrepeating decimals only; use division or rename fraction with denominator as power of 10; supplement with negative numbers) 
4.1b 
6.12, 6.13 
4.4 
AI3d3 
Writing Fractions or Mixed Numbers as Repeating Decimals (bar
notation) 
4.1b extra 
6.15 

AI3d4 
Compare and Order Rational Numbers (plot
positive and negative fractions, mixed numbers and decimals on number line; compare; order up to three numbers) 
Course 2 4.9 
6.16, 6.17 
4.4 
AI3d5 
Compare Rational Numbers:
RealWorld Problems 

6.19 
























































Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





IV 
ARITHMETIC OPERATIONS WITH FRACTIONS 




second
trimester – 20 days 



AI1d1 
Add and Subtract Fractions (like
and unlike denominators) 
0.4, Cour. 2 5.2 
Page 12 SU 7.3 
5.2 
AI1d2 
Addition Properties; Add Mixed Numbers (include
inverse property) 

7.1, 7.4 

AI1d3 
Subtract Fractions and Mixed Numbers 
Cour. 2 5.2 
7.5, 7.6 
5.3 
AI1d4 
Estimation, Mental Math, Expressions, Substitution (opportunities
for shortcuts by combining like fractions) 
Course 2 5.1 
7.2, 7.7, 7.8 

AI1d5 
Real World Problems 
0.4 
7.11 

AI2d1 
Multiply Fractions by Fractions, Whole Numbers, and Mixed Numbers (“of”
means multiplication;
comparisons) 
2.1b, 2.1d, 2.2b, 2.2d 
8.1, 8.2, 8.4 
5.5 
AI2d2 
Properties of Multiplication (including
inverse property; definition of “reciprocal”; use of distributive property as
a shortcut) 
5.2c part 1 
8.3, 8.9 part 2 

AI2d3 
Divide Fractions, Whole Numbers, and Mixed Numbers (visual
representation of division; word problems including “how many … are in …”; comparisons) (√ AL – using models to divide fractions) 
2.3b, 2.3d, 2.3e 
8.5, 8.6, 8.8 
5.6 
AI2d4 
Order of Operations with Fractions; Money; Expressions and Substitution (also,
evaluate expression using distributive property) 

8.9, 8.10, 8.11 

AI3d1,2 
Addition and Subtraction of
Positive and Negative Fractions and Mixed Numbers 
Course 3 2.5, 2.6 
supplemental 

AI3d3 
Multiplication and Division of
Positive and Negative Fractions and Mixed Numbers 
Course 3 2.3, 2.4 
supplemental 

AI3d4 
Arithmetic Operations with Positive & Negative Decimal Numbers 

supplemental 

AI3d5 
Complex Fractions and Continued Fractions 
Course 3 5.7 enrich 
Ch 8 enrich 












































































Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





V 
ALGEBRAIC EXPRESSIONS AND BASIC EQUATIONS 




second
trimester – 18 days 



AI1d1 
Numerical Expressions and Order of Operations (includes
powers, max of one operation within parentheses, no imbedded parentheses,
whole numbers only; SadOx includes division bar as grouping symbol,
and decimal numbers) 
5.1a 
4.1 

AI1d1 
Variables and Expressions (substitution) (includes
various forms of multiplication symbol, up to 3 variables per expression,
whole numbers only, realworld problems with simple formulas and
substitution; SadOx includes decimal numbers) 
5.1b 
4.3 part 1 

AI1d1 
Writing Algebraic Expressions as Word Phrases (includes
realworld problems; SadOx includes grouping
symbols, fraction symbol as division, and powers of two and three) 
5.1c 
4.2 

AI1d1 
Writing Word Phrases as Algebraic Expressions (√ AL – match verbal descriptions with algebraic
expressions) 
5.1d 


AI1d2 
Writing Algebraic Expressions that
Match Patterns 
5.1b, 5.1d 


AI1d3 
Simplify Algebraic Expressions with Properties (determine whether pair of expressions are equivalent and cite property; rewrite variable expression without parentheses; SadOx includes zero property of multiplication) 
5.2a 
page 8 SU 

AI1d4 
Combining Like Terms – Positive Coefficients 
supplemnt 


AI1d5 
The Distributive Property (rewriting
algebraic expressions using the distributive property) (√ AL – rewrite numerical addition expression using GCF
and distributive property reversed; that is, factor) (√ AL – rewrite algebraic expression with distributive property,
then simplify by combining integers) 
5.2b,5.2c 
4.3 part 2 

AI2d1 
Confirm a Proposed Value Solves an Equation (also,
convert word phrase to equation; identify inverse operation) 
6.1a,6.1b 
4.4 part 1 Page 7 SU 
2.4 
AI2d2 
Subtraction Property of Equality (includes
twostep problems combining like terms first; includes decimals; supplement with fractions) 
6.1c,6.1d 
4.5 
2.5, 3.8, 5.4 
AI2d3 
Addition Property of Equality (includes
twostep problems combining like terms first; includes decimals; supplement
with fractions) 
6.1e, 6.1f 
4.6 
2.6, 3.8, 5.4 
AI3d1 
Division Property of Equality (includes
decimals; supplement with fractions) 
6.2a, 6.2b 
4.7, 8.12 
2.7, 3.8, 5.7 
AI3d2 
Multiplication Property of Equality (includes
decimals; includes division written as fraction; supplement with
fractions) 
6.2c, 6.2d 
4.7, 8.12 
2.8, 3.8, 5.7 
AI3d3 
Simple TwoStep Equations (supplement
with combineliketerms equations) 
6.3a, 6.3b 
14.1 

AI3d4 
RealWorld Problems (use Polya’s fourstep method) 
6.3b 










































Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





VI 
ADVANCED EQUATIONS 




second
trimester – 14 days 



AI1d1 
Equations: Simplify Algebraic
Expressions First 
6.3b Enrich 
4.5, 4.6 

AI1d2 
Equations: Combining Like Terms First (positive
coefficients only) 
5.1b pt 2, supplment 


AI1d3 
Formulas and Substitution 

4.8 

AI2d1 
Equations and Integers: Addition & Subtraction (supplement
first; SadOx goes directly into twostep equations) 

supplement, 5.3, 5.4 

AI2d2 
Equations and Integers: Multiplication & Division (include
fractions and decimals as well) 

supplement, 5.8 

AI2d3 
Equations and Integers: Combining Like Terms 

supplement 

AI2d4 
Advanced Addition and Subtraction Equations (negative
decimals; negative
fractions and mixed numbers) 

supplement 

AI2d5 
Advanced TwoStep Equations (negative
integers, decimals, fractions and mixed numbers) 

14.3, supplement 

AI2d6 
Increasingly Challenging MultiStep Equations (negative
integers, decimals, fractions and mixed numbers) 

supplement 

AI2d7 
Absolute Value Equations (isolated
variable within absolute value brackets) 
7.3b Enrich 
supplement 






VII 
FUNCTIONS AND INEQUALITIES 




second
trimester – 15 days 



AI1d1 
Relations on the Coordinate Plane (graph
real world situations in the first quadrant) 
7.1a 


AI1d2 
Function Tables (complete
input or output column when given function rule algebraically) 
7.1c 

10.1 
AI1d3 
Function Rules (find
the rule for an arithmetic sequence when given data in an inputoutput table) 
7.1d 


AI1d4 
Graphing Linear Functions (graph
in first quadrant of coordinate plane when given linear equation with output
variable already isolated) 
7.1e 

10.2 
AI1d5 
Multiple Representations of Functions (verbal,
as a table, in a graph, and with an equation) 
7.1f 


AI2d1 
Identify Solutions of Inequalities (use
substitution to validate proposed solution) 
7.2b 


AI2d2 
Write and Graph Inequalities (write
inequality for word phrase;
graph on number line) 
7.2d 

10.4 
AI2d3 
OneStep Inequalities (solve
and graph; four
arithmetic operations; positive numbers only ; use Polya’s
fourstep method for word problems) 
7.2f 


AI2d4 
TwoStep Inequalities (solve
and graph; positive
numbers only) 
7.2g 


AI2d5 
Negative Numbers and Inequalities (reversing
the sense of the inequality) 
supplemnt 


AI2d6 
RealWorld Problems Involving Patterns (highorder
thinking problems) 
supplemnt 












Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





VIII 
RATIOS, RATES, AND PERCENTS 




third
trimester – 21 days 



AI1d1 
Writing Ratios (3
ways to write ratio; ratio in simplest form from pictures, charts; dividing collection into groups to
create a given ratio) 
3.1b 
11.1 
7.1 
AI1d2 
Rates, and Unit Rates (using
unit rates to solve multistep word problems) (√ AL – challenging word problems) 
3.1d 
11.3 
7.1 
AI1d3 
Ratio Tables (using
ratio tables and “scaling” to solve realworld problems) (introduce
proportions and crossmultiplication) 
3.2a 

2.3 
AI1d4 
Rate of Change (find
rate of change from a graph) 
3.1d+ 

7.3ext 
AI1d5 
Equivalent Ratios (using
unit rates or equivalent fractions to determine whether a pair of ratios are
equivalent and to solve realworld problems) 
3.3a 
11.2 

AI1d6 
Real World Problems (using
ratio tables and “scaling” to solve realworld problems) (using
crossproducts to solve proportions) (√ AL – challenging word problems) 
3.3c 

7.4 
AI1d7 
Maps and Scale Drawings (using
ratios to solve distance problems with maps and scale drawings) 
3.3a+ 
11.9 

AI2d1 
Modeling and Writing Percents as Fractions (whole
number percents less than one hundred written as
fractions simplified; also review writing terminating decimals as fractions
or mixed numbers, and writing mixed numbers or fractions as terminating or
repeating decimals) 
4.1a, 4.1b, 4.1b+, 4.2b 
11.10 part 1 

AI2d2 
Writing Fractions as Percents (fractions
with denominators that are factors of 100 written as equivalent fractions with
denominators of 100) 
4.2c 
11.10 part 2 
7.5 
AI2d3 
Writing Percents as Decimals&Decimals as Percents (convert
percent to fraction, then to decimal; convert twoposition decimal to
hundredths then to fraction, then to percent) 
4.2d 
11.11, 11.12 
7.6 
AI2d4 
Very Large and Very Small Percents (every
conversion imaginable, including a fraction percent) 
4.2e 
11.13, 11.14 

AI3d1 
Comparing Fractions, Decimals, and Percents (number
line; ordering
up to three numbers) 
4.3b, 4.3c, 4.3d 
11.12 part 2 

AI3d2 
Find Percent of a Number (write
percent as fraction or decimal, and multiply; include very small and very large percents; estimation) (Note: stop here.
Do not cover the percent formula.)

4.4b, 4.4d 
12.1  12.3 
7.7 
AI3d3 
Solve a Simpler Problem (Use
strategy to solve real world problems)

4.4e 


ER1d1 
Graph Ratio Tables on Coordinate Plane (√ AL – include proportional relationship “fill in the
blanks”, and plot on coordinate plane) 
Page 777 
































Unit 
Topic 
Connects 1 
SadOx PIM Six 
Holt CC6 





IX 
DATA AND GRAPHS 




third trimester – 16 days 



AI1d1 
Line Graphs and Bar Graphs (selecting
best type of graph for situation at hand; attributes of a welldrawn graph) 
0.6 
SU Page 14, 9.99.11 

AI1d2 
Measures of Central Tendency (include
“most representative measure” 
11.1b, 11.1d 
9.5 
6.1 
AI1d3 
BoxandWhisker Plot 
11.1e 
9.7 
6.3 
AI1d4 
Appropriate Measure of Central Tendency; Outliers 
11.1f 

6.2 
AI1d5 
Grouped Frequency Tables (selecting
appropriate scales and intervals) 
11.2a 
9.4 
6.4 
AI1d6 
StemandLeaf Plots (include
backtoback plots) 
11.2b 
9.8 

AI1d7 
Histograms 
11.2c 
9.13 
6.4 
AI2d1 
Interpreting Circle Graphs (calculate angle size) 
11.3b 
9.14, 12.12 

AI2d2 
Drawing Circle Graphs (use compass and protractor) 
11.3b 
9.14, 12.12 

AI2d3 
Select an Appropriate Display 
11.4a 


AI2d4 
Misleading Graphs and Statistics 
11.4c 


AI2d5 
Identify “Statistical Questions” (√ AL – “Statistical Answers”) 
pp 807808 







X 
AREA, SURFACE AREA, AND VOLUME 




third trimester – 17 days 



AI1d1 
Review of Measurement (order least to greatest; conversion of rates) 

SU pp 1617 13.113.7 
8.1, 8.2 
AI1d2 
Area of a Parallelogram (include
finding missing dimension) 
9.1a 
13.10 
8.3 
AI1d3 
Area of a Triangle (include
finding missing dimension) 
9.1c 
13.10 
8.4 
AI1d4 
Area of a Trapezoid (include
finding missing dimension) 
9.1d 
13.11 
8.4 
AI1d5 
Circumference and Area of a Circle (include
halfcircle; small
circle punched out of larger circle) 
9.2b, 9.2d 
13.12, 13.13 

AI1d6 
Area and Perimeter of Composite
Figure 
9.3a, 9.3c 

8.5 
AI2d1 
Volume of a Rectangular Prism (introduce
cubic units; include
finding missing dimension) 
9.4b 
13.16 
8.6 
AI2d2 
Surface Area of a Rectangular Prism (introduce
nets) 
9.4d 
13.14 
8.7 
AI2d3 
Volume of a Triangular Prism 
10.1b 
13.17 

AI2d4 
Volume of a Pyramid 
10.1d 
13.18 

AI2d5 
Volume of Cylinders and Cones 
10.2b, 10.2d 
13.17 

AI2d6 
Surface Area of a Cylinder 
10.3c 


AI2d7 
Volume and Surface Area of
Composite Figures 
10.4b 

