Academy of the Most Blessed Sacrament SIXTH GRADE MATH CURRICULUM MAP (Total days = 184)
(last updated August 2, 2019)
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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I |
NUMBER FORMS & OPERATIONS ON DECIMALS |
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first
trimester – 25 days |
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AI1d1 |
Place Value and Word Names (to trillions place and millionths place) |
Grade 5 1.1, 1.5 |
1.1 |
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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 |
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AI1d3 |
Word Phrases / Arithmetic & Algebraic Expressions (write
arithmetic expressions as word phrases, write word phrases as arithmetic expressions; also,
four step method to solve real-world problems) |
0.1 |
1.10 |
2.1, 2.2 |
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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 |
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AI1d5 |
Estimate Decimal Sums and Differences (front-end
estimation and rounding) |
Grade 5 2.2 |
1.6 |
1.1, 3.2 |
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AI1d6 |
Roman Numerals (without
aid of chart; use
supplemental materials with sums and differences of Roman numerals by
transforming to and from standard form)
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Ch 1 enrich |
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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 |
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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 |
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AI2d3 |
Divide Decimals by Whole Numbers (no repeating decimals, annex zero in dividend, rounding to nearest tenth, substitution with fraction as division with order-of-operations; SadOx includes “divide and check”, and comparisons) |
1.2c |
3.5 |
3.5 |
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AI2d4 |
Divide Decimals by Decimals – Simple Cases (no repeating decimals; overcome obstacle of zeroes in division) |
1.2e |
3.8 |
3.6 |
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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 |
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AI2d6 |
Divide Decimals by Decimals – Rounding Quotient (rounding to nearest tenth, substitution with fraction as division with order-of-operations; SadOx includes comparisons, finding mean, rounding to nearest cent) |
1.2e |
3.12 |
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AI2d7 |
Estimating Products and Quotients of Decimals (rounding
to whole numbers) |
1.1a, 1.2a |
2.2, 3.2, 3.7 |
1.1 |
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AI2d8 |
Evaluating Expressions with Multiplication and Division of Decimals (variables and substitution) |
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3.10, 3.11 |
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AI2d9 |
Interpreting the Remainder |
Gr. 5: 4.6 |
3.13 |
3.7 |
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AI3d1 |
Exponents & Simple Square Roots (SadOx includes
find the missing exponent; Connects
includes products of decimals) |
1.3a |
2.5,Ch2 enrich |
1.3 |
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AI3d2 |
Multiply by Powers of Ten |
1.3b |
2.1 |
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AI3d3 |
Divide by Powers of Ten |
1.3c |
3.4, 3.6 |
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AI3d4 |
Open and Closed Statements (determine
whether stmt is open or closed; find truth value) |
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3.15 |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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II |
INTEGERS & ARITHMETIC OPERATIONS |
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first
trimester – 17 days |
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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 795-797 |
5.1, 5.2 |
9.1, 9.2 |
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AI1d2 |
The Coordinate Plane (plotting
ordered pairs in four quadrants, identifying coordinates of plotted points) |
7.3c |
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7.3, 9.3 |
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AI1d3 |
Add Integers (addition
sentence modeled on number line; up to three addends) |
Course 2 2.4 |
5.3 part 1 |
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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 |
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AI1d5 |
Mixture of Addition and Subtraction
of Integers |
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supplemental |
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AI1d6 |
Polygons in the Coordinate Plane |
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9.4 |
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AI1d7 |
Transformations in the Coordinate Plane |
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9.5 |
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AI2d1 |
Multiply Integers (including
basic order-of-operations problems, input-output tables, comparisons, pattern
rules with geometric sequences and negative numbers) |
Course 2 2.6 |
5.5 |
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AI2d2 |
Divide Integers (including
basic order-of-operations problems, quotients as fractions, input-output
tables, comparisons, pattern rules with geometric sequences and negative
numbers) |
Course 2 2.8 |
5.6 |
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AI2d3 |
Order of Operations and Algebraic Expressions (including
quantities within quantities, powers; varied notation for multiplication;
using mini-plus-and-minus symbols only) |
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5.7 & 5.8 part 1 |
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AI2d4 |
Challenging Algebraic Expressions with Integers (includes
parenthesis notation for negative numbers) |
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supplemental |
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AI2d5 |
Expanded Form (3 types of expanded form; negative powers of 10) |
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1.2, 1.3 |
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AI2d6 |
Scientific Notation (positive
and negative exponents) |
Course 3 2.10 |
2.6, 3.4 pt 2 |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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III |
FRACTIONS, MIXED NUMBERS AND DECIMALS |
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first
trimester – 21 days |
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AI1d1 |
Prime and Composite Numbers ; Divisibility Rules (factors,
multiples, divisibility rules through 10, except 7; find missing digit to
make number divisible) |
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Page 3 SU 6.1, 6.2 |
4.1 |
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AI1d2 |
Prime Factorization (exponential
and long form, birthday cake and factor tree) |
Course 2 4.1 |
6.3 |
4.1 |
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AI1d3 |
Sieve of Eratosthenes (a
shortcut to help determine whether an integer is prime) |
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Ch6 enrich |
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AI1d4 |
Equivalent Fractions (complete
strings with missing terms;
reduce to lowest terms first) |
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6.4 |
4.3 |
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AI1d5 |
GCF using Prime Factorization (up
to three numbers;
use “common to both” buddy system) |
Course 2 4.2 |
6.5 |
4.2 |
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AI2d1 |
Simplifying Fractions (supplement
with fractions with large numerators and denominators that require prime
factorization) |
Course 2 4.4 |
6.6 |
4.5 |
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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) |
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6.7 |
4.6 |
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AI2d3 |
Fraction Sense (plot
positive fraction on number line, close to zero half or one) |
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6.8 |
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AI2d4 |
LCM using prime factorization (include
sets of three numbers;
supplement with real-world problems) |
Course 2 4.8 |
6.9 |
5.1 |
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AI2d5 |
Comparing and Ordering Fractions (rename
using LCD;
supplement to include negative fractions) |
4.3a, 4.3b |
6.10 & 6.11 |
4.7 |
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AI3d1 |
Writing Decimals as Fractions or Mixed Numbers (supplement with negative numbers) |
4.1a |
6.14 |
4.4 |
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AI3d2 |
Writing Fractions or Mixed Numbers as Decimals (non-repeating 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 |
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AI3d3 |
Writing Fractions or Mixed Numbers as Repeating Decimals (bar
notation) |
4.1b extra |
6.15 |
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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 |
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AI3d5 |
Compare Rational Numbers:
Real-World Problems |
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6.19 |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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IV |
ARITHMETIC OPERATIONS WITH FRACTIONS |
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second
trimester – 20 days |
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AI1d1 |
Add and Subtract Fractions (like
and unlike denominators) |
0.4, Cour. 2 5.2 |
Page 12 SU 7.3 |
5.2 |
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AI1d2 |
Addition Properties; Add Mixed Numbers (include
inverse property) |
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7.1, 7.4 |
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AI1d3 |
Subtract Fractions and Mixed Numbers |
Cour. 2 5.2 |
7.5, 7.6 |
5.3 |
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AI1d4 |
Estimation, Mental Math, Expressions, Substitution (opportunities
for shortcuts by combining like fractions) |
Course 2 5.1 |
7.2, 7.7, 7.8 |
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AI1d5 |
Real World Problems |
0.4 |
7.11 |
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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 |
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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 |
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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 |
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AI2d4 |
Order of Operations with Fractions; Money; Expressions and Substitution (also,
evaluate expression using distributive property) |
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8.9, 8.10, 8.11 |
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AI3d1,2 |
Addition and Subtraction of
Positive and Negative Fractions and Mixed Numbers |
Course 3 2.5, 2.6 |
supplemental |
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AI3d3 |
Multiplication and Division of
Positive and Negative Fractions and Mixed Numbers |
Course 3 2.3, 2.4 |
supplemental |
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AI3d4 |
Arithmetic Operations with Positive & Negative Decimal Numbers |
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supplemental |
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AI3d5 |
Complex Fractions and Continued Fractions |
Course 3 5.7 enrich |
Ch 8 enrich |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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V |
ALGEBRAIC EXPRESSIONS AND BASIC EQUATIONS |
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second
trimester – 18 days |
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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 |
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AI1d1 |
Variables and Expressions (substitution) (includes
various forms of multiplication symbol, up to 3 variables per expression,
whole numbers only, real-world problems with simple formulas and
substitution; SadOx includes decimal numbers) |
5.1b |
4.3 part 1 |
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AI1d1 |
Writing Algebraic Expressions as Word Phrases (includes
real-world problems; SadOx includes grouping
symbols, fraction symbol as division, and powers of two and three) |
5.1c |
4.2 |
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AI1d1 |
Writing Word Phrases as Algebraic Expressions (√ AL – match verbal descriptions with algebraic
expressions) |
5.1d |
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AI1d2 |
Writing Algebraic Expressions that
Match Patterns |
5.1b, 5.1d |
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AI1d3 |
Simplify Algebraic Expressions with Properties (determine whether pair of expressions are equivalent and cite property; re-write variable expression without parentheses; SadOx includes zero property of multiplication) |
5.2a |
page 8 SU |
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AI1d4 |
Combining Like Terms – Positive Coefficients |
supplemnt |
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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 |
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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 |
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AI2d2 |
Subtraction Property of Equality (includes
two-step problems combining like terms first; includes decimals; supplement with fractions) |
6.1c,6.1d |
4.5 |
2.5, 3.8, 5.4 |
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AI2d3 |
Addition Property of Equality (includes
two-step problems combining like terms first; includes decimals; supplement
with fractions) |
6.1e, 6.1f |
4.6 |
2.6, 3.8, 5.4 |
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AI3d1 |
Division Property of Equality (includes
decimals; supplement with fractions) |
6.2a, 6.2b |
4.7, 8.12 |
2.7, 3.8, 5.7 |
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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 |
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AI3d3 |
Simple Two-Step Equations (supplement
with combine-like-terms equations) |
6.3a, 6.3b |
14.1 |
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AI3d4 |
Real-World Problems (use Polya’s four-step method) |
6.3b |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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VI |
ADVANCED EQUATIONS |
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second
trimester – 14 days |
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AI1d1 |
Equations: Simplify Algebraic
Expressions First |
6.3b Enrich |
4.5, 4.6 |
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AI1d2 |
Equations: Combining Like Terms First (positive
coefficients only) |
5.1b pt 2, supplment |
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AI1d3 |
Formulas and Substitution |
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4.8 |
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AI2d1 |
Equations and Integers: Addition & Subtraction (supplement
first; SadOx goes directly into two-step equations) |
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supplement, 5.3, 5.4 |
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AI2d2 |
Equations and Integers: Multiplication & Division (include
fractions and decimals as well) |
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supplement, 5.8 |
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AI2d3 |
Equations and Integers: Combining Like Terms |
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supplement |
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AI2d4 |
Advanced Addition and Subtraction Equations (negative
decimals; negative
fractions and mixed numbers) |
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supplement |
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AI2d5 |
Advanced Two-Step Equations (negative
integers, decimals, fractions and mixed numbers) |
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14.3, supplement |
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AI2d6 |
Increasingly Challenging Multi-Step Equations (negative
integers, decimals, fractions and mixed numbers) |
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supplement |
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AI2d7 |
Absolute Value Equations (isolated
variable within absolute value brackets) |
7.3b Enrich |
supplement |
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VII |
FUNCTIONS AND INEQUALITIES |
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second
trimester – 15 days |
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AI1d1 |
Relations on the Coordinate Plane (graph
real world situations in the first quadrant) |
7.1a |
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AI1d2 |
Function Tables (complete
input or output column when given function rule algebraically) |
7.1c |
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10.1 |
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AI1d3 |
Function Rules (find
the rule for an arithmetic sequence when given data in an input-output table) |
7.1d |
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AI1d4 |
Graphing Linear Functions (graph
in first quadrant of coordinate plane when given linear equation with output
variable already isolated) |
7.1e |
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10.2 |
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AI1d5 |
Multiple Representations of Functions (verbal,
as a table, in a graph, and with an equation) |
7.1f |
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AI2d1 |
Identify Solutions of Inequalities (use
substitution to validate proposed solution) |
7.2b |
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AI2d2 |
Write and Graph Inequalities (write
inequality for word phrase;
graph on number line) |
7.2d |
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10.4 |
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AI2d3 |
One-Step Inequalities (solve
and graph; four
arithmetic operations; positive numbers only ; use Polya’s
four-step method for word problems) |
7.2f |
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AI2d4 |
Two-Step Inequalities (solve
and graph; positive
numbers only) |
7.2g |
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AI2d5 |
Negative Numbers and Inequalities (reversing
the sense of the inequality) |
supplemnt |
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AI2d6 |
Real-World Problems Involving Patterns (high-order
thinking problems) |
supplemnt |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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VIII |
RATIOS, RATES, AND PERCENTS |
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third
trimester – 21 days |
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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 |
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AI1d2 |
Rates, and Unit Rates (using
unit rates to solve multi-step word problems) (√ AL – challenging word problems) |
3.1d |
11.3 |
7.1 |
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AI1d3 |
Ratio Tables (using
ratio tables and “scaling” to solve real-world problems) (introduce
proportions and cross-multiplication) |
3.2a |
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2.3 |
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AI1d4 |
Rate of Change (find
rate of change from a graph) |
3.1d+ |
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7.3ext |
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AI1d5 |
Equivalent Ratios (using
unit rates or equivalent fractions to determine whether a pair of ratios are
equivalent and to solve real-world problems) |
3.3a |
11.2 |
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AI1d6 |
Real World Problems (using
ratio tables and “scaling” to solve real-world problems) (using
cross-products to solve proportions) (√ AL – challenging word problems) |
3.3c |
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7.4 |
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AI1d7 |
Maps and Scale Drawings (using
ratios to solve distance problems with maps and scale drawings) |
3.3a+ |
11.9 |
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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 |
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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 |
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AI2d3 |
Writing Percents as Decimals&Decimals as Percents (convert
percent to fraction, then to decimal; convert two-position decimal to
hundredths then to fraction, then to percent) |
4.2d |
11.11, 11.12 |
7.6 |
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AI2d4 |
Very Large and Very Small Percents (every
conversion imaginable, including a fraction percent) |
4.2e |
11.13, 11.14 |
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AI3d1 |
Comparing Fractions, Decimals, and Percents (number
line; ordering
up to three numbers) |
4.3b, 4.3c, 4.3d |
11.12 part 2 |
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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.)
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4.4b, 4.4d |
12.1 - 12.3 |
7.7 |
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AI3d3 |
Solve a Simpler Problem (Use
strategy to solve real world problems)
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4.4e |
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ER1d1 |
Graph Ratio Tables on Coordinate Plane (√ AL – include proportional relationship “fill in the
blanks”, and plot on coordinate plane) |
Page 777 |
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Unit |
Topic |
Connects 1 |
SadOx PIM Six |
Holt CC6 |
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IX |
DATA AND GRAPHS |
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third trimester – 16 days |
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AI1d1 |
Line Graphs and Bar Graphs (selecting
best type of graph for situation at hand; attributes of a well-drawn graph) |
0.6 |
SU Page 14, 9.9-9.11 |
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AI1d2 |
Measures of Central Tendency (include
“most representative measure” |
11.1b, 11.1d |
9.5 |
6.1 |
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AI1d3 |
Box-and-Whisker Plot |
11.1e |
9.7 |
6.3 |
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AI1d4 |
Appropriate Measure of Central Tendency; Outliers |
11.1f |
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6.2 |
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AI1d5 |
Grouped Frequency Tables (selecting
appropriate scales and intervals) |
11.2a |
9.4 |
6.4 |
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AI1d6 |
Stem-and-Leaf Plots (include
back-to-back plots) |
11.2b |
9.8 |
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AI1d7 |
Histograms |
11.2c |
9.13 |
6.4 |
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AI2d1 |
Interpreting Circle Graphs (calculate angle size) |
11.3b |
9.14, 12.12 |
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AI2d2 |
Drawing Circle Graphs (use compass and protractor) |
11.3b |
9.14, 12.12 |
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AI2d3 |
Select an Appropriate Display |
11.4a |
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AI2d4 |
Misleading Graphs and Statistics |
11.4c |
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AI2d5 |
Identify “Statistical Questions” (√ AL – “Statistical Answers”) |
pp 807-808 |
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X |
AREA, SURFACE AREA, AND VOLUME |
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third trimester – 17 days |
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AI1d1 |
Review of Measurement (order least to greatest; conversion of rates) |
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SU pp 16-17 13.1-13.7 |
8.1, 8.2 |
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AI1d2 |
Area of a Parallelogram (include
finding missing dimension) |
9.1a |
13.10 |
8.3 |
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AI1d3 |
Area of a Triangle (include
finding missing dimension) |
9.1c |
13.10 |
8.4 |
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AI1d4 |
Area of a Trapezoid (include
finding missing dimension) |
9.1d |
13.11 |
8.4 |
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AI1d5 |
Circumference and Area of a Circle (include
half-circle; small
circle punched out of larger circle) |
9.2b, 9.2d |
13.12, 13.13 |
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AI1d6 |
Area and Perimeter of Composite
Figure |
9.3a, 9.3c |
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8.5 |
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AI2d1 |
Volume of a Rectangular Prism (introduce
cubic units; include
finding missing dimension) |
9.4b |
13.16 |
8.6 |
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AI2d2 |
Surface Area of a Rectangular Prism (introduce
nets) |
9.4d |
13.14 |
8.7 |
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AI2d3 |
Volume of a Triangular Prism |
10.1b |
13.17 |
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AI2d4 |
Volume of a Pyramid |
10.1d |
13.18 |
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AI2d5 |
Volume of Cylinders and Cones |
10.2b, 10.2d |
13.17 |
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AI2d6 |
Surface Area of a Cylinder |
10.3c |
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AI2d7 |
Volume and Surface Area of
Composite Figures |
10.4b |
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