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Revised 10/30/02 |
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| Mathematics Scope and Sequence |
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| Grade
/Course |
Number Sense,
Numeration, and Numerical Operations |
Spatial Sense,
Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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| K |
·
count/read/write/use numbers to 30 (1.01, 1.02, 1.04,
1.05)
· demonstrate one-to-one correspondence (1.03)
· estimate to 20 (1.09)
· count backward from 10 (1.02)
· create/solve group story problems (1.10)
· compare sets (1.07, 1.08)
· use ordinals through fifth (1.06)
· divide equally in half (1.11) |
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recognize circle, square, triangle, rectangle (2.01)
· compare/order objects (2.03)
· model/use directional/positional words (2.04)
· complete simple spatial tasks/puzzles (2.02)
· use nonstandard units of length/capacity/weight/time (2.05)
· name days of week (2.06) |
· describe
likenesses/differences (3.01)
· sort by attributes; explain (3.02)
· identify, copy, create, continue, describe patterns (3.03)
· create patterns with actions/words/objects (3.04)
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collect data for concrete/pictorial group graphs (4.01) |
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| 1 |
·
read/write/represent numbers to 100 (1.05, 1.11)
· rote count by 1's, 5's, 10's to 100 (1.02)
· estimate/compare to 30 (1.04, 1.12, 1.14)
· use problem solving/counting/addition strategies
(1.08, 1.18, 1.22)
· use ordinals through tenth (1.07)
· identify more/less/before/after/between (1.09)
· memorize addition/subtraction facts to 10 (1.19)
· relate symbolic notation of addition/subtraction (1.17)
· recognize place value -10's (1.13)
· read/write number words to 10 (1.06) |
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recognize hexagon, trapezoid, parallelogram (2.01, 2.02)
· recognize sphere, cube, cylinder, cone (2.03)
· identify open/closed figures (2.04)
· identify equal/unequal measures and regions (2.07)
· use nonstandard units of length/weight/capacity; record (2.09)
· use traditional calendar language (2.10)
· identify seasons (2.10)
· tell time to hour (2.11)
· solve problems with nonstandard measurement (2.12)
· identify coins/values |
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describe/compare objects by attribute (3.01)
· sort/order sets (3.02)
· record/translate patterns with words/actions/objects (3.03)
· recognize numerical sequences (3.04)
· correct errors in patterns (3.05)
· identify patterns in environment (3.06)
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gather/organize/display information as a group (4.01)
· answer questions about charts/graphs (4.02)
· make predictions (4.03)
· create graphs using prepared grids (4.04)
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| Grade /Course |
Number
Sense, Numeration, and Numerical Operations |
Spatial
Sense, Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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| 2 |
·
rote count to 1,000 (1.01)
· use counting strategies/estimate/compare to 100
· (1.03, 1.05, 1.12)
· use problem solving strategies (1.10, 1.11, 1.18)
· memorize addition/subtraction facts to 18 (1.16)
· add 3 single digits (1.14)
· add 3- digit numbers with/without regrouping (1.17)
· model 2 digit addition/subtraction using manipulatives/alternative
strategies; record/explain (1.15)
· model repeated addition and sharing equally; record solutions (1.20)
· identify/use place value -100's (1.02, 1.07, 1.08, 1.09)
· identify odd/even numbers (1.06)
· identify missing addends to 18 (1.13)
· divide regions/sets into fractional parts (1.19)
· read number words to 100 (1.04)
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·
describe/make pyramid, rectangular prism (2.02)
· identify/make figures with line symmetry (2.03)
· identify/make congruent figures (2.04)
· demonstrate visual memory (2.05)
· measure length in inch, foot, centimeter (2.06)
· measure capacity in cup, gallon, liter (2.07)
· measure weight in pound, kilogram (2.08)
· read F° thermometers in 1’s, 2’s, 5’s; record (2.09)
· sequence months; solve calendar problems (2.10)
· tell time to half hour; solve time problems (2.11)
· determine value of coin sets; record (2.12)
· make equivalent coin sets (2.13)
· identify coins needed by buy items < $1.00 (2.14)
· estimate costs; solve money problems (2.15) |
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sort by several attributes (3.01)
· identify classification/patterning in environment (3.02)
· define/continue/translate geometric patterns (3.03, 3.07)
· identify/correct errors in patterns (3.05)
· identify rule/continue numeric sequences (3.04)
· solve simple logic problems (3.06) |
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collect/sort/organize/display/ label information on charts/graphs/tables (4.01)
· summarize/interpret information/make predictions (4.02)
· collect/display data over time (4.03)
· locate points on number lines, grids (4.04)
· complete simple probability experiments (4.05) |
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| 3 |
· compare/order/use numbers to
10,000 (1.03)
· relate standard/expanded notation to 4-digits (1.02)
· use multi-step problem solving strategies (1.04, 1.14, 1.15)
· subtract 3- digit numbers (1.09)
· memorize multiplication facts to 10 (1.13)
· explain multiplication in variety of ways (1.10)
· explain division in variety of ways (1.12)
· identify/use place value -1,000’s (1.02)
· use commutative/identity properties (1.11)
· compare/order fractions and mixed numbers (1.06, 1.07)
· recognize equivalent fractions (1.08)
· read/write number words to 1,000 (1.01) |
· identify/use
vocabulary for polygons/polyhedra (2.01)
· identify/model symmetry and congruence (2.02)
· use cubes to construct figures; match solid figures (2.03)
· observe/describe geometry in environment (2.05)
· measure length in inch, feet, yards, centimeter, meter (2.06)
· measure capacity in cup, pint, quart, gallon, liter (2.06)
· measure weight in ounces, pound, gram, kilogram (2.06)
· model/explain area and perimeter (2.08)
· solve measurement problems (2.07, 2.13)
· read Celsius, Fahrenheit thermometers (2.12)
· determine value of coin sets < $5.00 (2.09)
· create equivalent coin sets < $5.00 (2.09)
· estimate/compute cost; make change from $5.00 (2.10)
· tell time to minute; solve time problems (2.11)
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· organize objects/ideas into
groups; describe rule (3.01)
· demonstrate patterns by skip counting/multiplication
beyond rote (3.02)
· analyze/describe properties; translate patterns (3.04)
· extend numeric/geometric sequences (3.03)
· make predictions based on patterns (3.05)
· use Venn diagrams/computers to solve problems (3.03, 3.06) |
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gather/organize data from surveys (4.01)
· display data on charts and graphs - picture, bar, line (4.02)
· describe data using mode (4.02)
· use symbols or scales to represents multiple units (4.03)
· interpret bar/picture/circle/line graphs and line plots (4.04)
· plot positions by ordered pair on coordinate grid (4.05)
· construct time lines (4.06)
· list permutations and combinations of up to 3 items (4.08) |
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| Grade
/Course |
Number Sense,
Numeration, and Numerical Operations |
Spatial Sense,
Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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| 4 |
· use numbers to
one million (1.01, 1.13)
· use multi-step problem solving strategies (1.02, 1.18)
· use order of operations (1.17)
· identify missing factors (1.12)
· multiply 3- digits by 1 digit (1.15)
· memorize multiplication facts to 12
· memorize division facts to 10 (1.11)
· divide using single digit divisor with/without remainder (1.16)
· identify/use place value -10,000's (1.03)
· use associative/distributive properties (1.10)
· compare/order/add fractions and mixed numbers to hundredths (1.04, 1.08, 1.09)
· compare/order/add decimals to hundredths (1.05, 1.06, 1.07)
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identify points/lines/angles-acute, right, obtuse (2.01)
· use multiple representations/vocabulary of plane figures (2.02)
· use multiple representations/vocabulary of polyhedra (2.03)
· identify lines-intersecting/parallel/perpendicular (2.04)
· identify line segments/midpoints (2.04)
· recognize plane geometric figure transformations;
illustrate; record (2.05, 2.06)
· measure length in miles, kilometers (2.07)
· measure capacity in milliliters (2.07)
· measure weight in kilograms, tons (2.07)
· solve multi-step measurement problems (2.08)
· identify relationship of area to length and width (2.09)
· determine area using grids (2.10)
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generalize/predict numeric and geometric patterns (3.01)
· extend pattern using numbered pairs/data set (3.02)
· solve problems by constructing table of values (3.03)
· use non-numeric symbols in expressions (3.04)
· determine solutions to open-ended sentences (3.04) |
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interpret/construct stem-and-leaf plots (4.01)
· explain advantages/disadvantages of each type of graph (4.02)
· use range/median/mode (4.05)
· investigate probabilities using devices that generate
random outcomes (4.07)
· use fraction to describe probability; report outcome (4.08) |
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| 5 |
· simplify expressions using
order of operations (1.05)
· relate exponential notation to multiplication (1.03)
· use multi-step problem solving strategies (1.17, 1.18)
· multiply/divide 3- digits, estimate products and solutions (1.02, 1.04)
· memorize division facts to 12
· find missing/common/greatest common factors (1.07)
· find common/least common multiples (1.06)
· use place value through millions (1.01)
· identify prime and composite numbers < 100 (1.08)
· compare/order fractions to thousandths (1.11)
· add/subtract fractions with like/unlike denominators (1.12, 1.14)
· multiply fraction by whole number (1.13)
· compare/order decimals to thousandths (1.10)
· estimate/compute sums/differences of decimals (1.15)
· multiply decimal by whole number (1.16)
· identify equivalent decimals/fractions at symbolic level (1.09)
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· use/compare
formulas for area/perimeter/volume (2.01)
· compare/classify/create models of polygons and polyhedra (2.03)
· use compass to draw circle (2.04)
· identify radius, diameter, chord, circumference of circle (2.04)
· use protractor to draw/measure/compare angles (2.05)
· identify/label vertex, rays, interior/exterior angles (2.05)
· calculate sums of interior angles using quadrilaterals/ triangles
(2.06)
· use technology to solve multi-step measurement/geometrical problems (2.09, 2.10) |
· identify
patterns when changing numerators/denominators (3.01)
· identify/use rules for divisibility (3.02)
· make generalizations/predictions in other applications (3.03)
· use models to represent variables/expressions (3.04)
· use organized approach to multi-step problem solving (3.05) |
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interpret/construct line graphs (4.01)
· select/construct appropriate graph (4.02)
· compare increasingly complex displays of data including multiple sets of
data/computer applications (4.04)
· determine mean using calculator (4.05)
· use range/median/mean/mode (4.06)
· show all permutations/combinations of up to 4 items (4.07)
· compare experimental and theoretical results (4.08)
· use multi-step problem solving strategies involving
graphing/probability/statistics; use calculator as needed (4.09) |
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| Grade /Course |
Number
Sense, Numeration, and Numerical Operations |
Spatial
Sense, Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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| 6 |
Compute
four basic operations with fractions, mixed numbers, decimals and whole
numbers. (1.04, 1.05, 1.06) |
Define
and identify interior, exterior, complementary, supplementary, alternate
interior, alternate exterior, corresponding, vertical angles, and pairs of
lines including skew lines. (2.02,
2.03)) |
Identify,
use, and describe patterns, including variables, as a strategy for problem
solving. (1.14, 3.01, 3.04, 3.06, 4.08) |
Use
graphs and tables to represent ordered pairs; describe the relationship.
(3.05) |
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| Compare, relate, and order fractions, decimals,
integers, whole numbers, and
percents. (1.02, 1.03, 1.11) |
Identify
and distinguish among similar, congruent and symmetric figures; name
corresponding parts. (2.04) |
Generate
a set of ordered pairs using a given rule.
(3.02) |
Create
and evaluate graphic representations of data. (4.01) |
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| Solve problems using prime factorization,
common factors, common multiples, and exponentials. (1.01, 1.08) |
Locate
points in all quadrants of the coordinate plane using ordered pairs. (2.05) |
Given
a group of ordered pairs, generate the rule used. (3.03) |
Construct
convincing arguments based on analysis of data and interpretation of
graphs. (4.05) |
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| Use
models and pictures to relate concepts of ratio, proportion, and
percent. (1.09) Use models to demonstrate understanding of
integers. (1.10) |
Investigate
and determine the relationship between the diameter and circumference of a
circle and the value of pi; calculate
the circumference of a circle. (2.06) |
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Analyze
situations and select appropriate strategies to solve probability and
statistic problems. (1.14, 4.08,
4.09) |
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| Use order of operations to simplify numerical
expressions. (1.12) |
Use
models to develop formulas for finding areas of triangles, parallelograms and
circles. (2.07, 2.08, 2.09) |
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Introduce
theoretical probablity and design experiments to make predictions and record
results. (4.06, 4.07) |
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| Translate word problems into number sentences
and solve. (1.13) |
Convert
measures of length, area, capacity, weight and time expressed in a given unit
to other units in the same measurement system. (2.11) |
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| Analyze problem situations and select
appropriate strategies, including estimation and mental math. (1.07, 1.14, 4.08) |
Analyze
situations and select appropriate strategies, including estimation, to solve
geometric and measurement problems.
(1.14, 2.12, 2.13, 4.08) |
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| Grade /Course |
Number
Sense, Numeration, and Numerical Operations |
Spatial
Sense, Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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Math 7
Math 6 Advanced
(Culbreth and Phillips)
(same curriculum) |
Compute
four basic operations with integers, fractions, decimals manually. (1.03, 1.04) |
Locate,
give the coordinates of, and graph plane figures which are the results of
transformations. (2.03) |
Write
or model a simple linear equation or inequality. (3.03) |
Create,
compare, contrast and evaluate different grahic representations of the same
data. (4.04) |
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| Compute, compare, order and convert among
fractions, decimals and percentages.
(1.03, 1.04) |
Identify
the congruent and supplementary relationships of the angles formed by cutting
parallel lines by a transversal.
(2.02) |
Write
an equation given words. Write the
words given an equation (translating word sentences.) (3.01) |
Identify
appropriate uses of measures of central tendency. (4.05) |
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| Develop the meaning of the square of a number
and its square root. (1.07) |
Calculate
the volume of rectangular solids.
(2.07, 2.08, 2.09) |
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Find
all possible outcomes of simple experiments.
(4.07) |
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| Write, estimate and solve problems using
ratios, proportions and percentages.
(1.06) |
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| Analyze and select appropriate operations,
models, strategies and methods to solve a variety of multi-step
problems. (1.08) |
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| Grade
/Course |
Number Sense,
Numeration, and Numerical Operations |
Spatial Sense,
Measurement, and Geometry |
Patterns,
Relationships, and Functions |
Data,
Probability, and Statistics |
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PreAlgebra 6,7,8,
(8th grade objectives) |
Use
rules of exponents. (1.06) |
Calculate
surface area and volume of solid figures in 2 and 3 dimensions. (2.02, 2.03, 2.04, 2.05) |
Investigate
the concept of slope. (3.04) |
Interpret
and construct box plots and scatter plots.
(4.01, 4.02) |
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| Identify, explain and apply commutative,
associative and distributive properties, inverses and identities in algebraic
expressions. (1.10) |
Locate,
give the coordinates of, and graph plane figures which are the results of
transformations. (2.09) |
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Make
predictions based on theoretical probabilities and experimental results. (4.06) |
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| Analyze problems to select appropriate
strategies and operations. (1.12) |
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| Complex computations using integers, sign
numbers, fractions, decimals and mixed numbers. |
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| Understanding and applying radicals and roots. |
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| Algebra I |
Solving
equations, functions and rational expressions. (1.02) |
Using
proportional reasoning. (2.01) |
Graphing
relations and functions. (3.06) |
Investigating
statistics and probability. (4.03) |
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| Solving linear equations. (3.08) |
Using
formulas and algebraic expressions to solve geometric problems. (2.01) |
Analyzing
linear equations. (3.07) |
Interpreting
data and mathematical modeling.
(4.03) |
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| Solving linear inequalities. (3.08) |
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Exploring
polynomials. (1.02) |
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| Solving systems. (3.09) |
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Using
factoring. (1.03) |
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Exploring
quadratic expressions and equations.
(1.03) |
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Exploring
radical expressions and equations.
(1.03) |
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Exploring
rational expressions and equations.
(1.03) |
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Using
formulas and graphs to solve exponential functions. (3.12) |
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Algebra I Part 1
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Operate
with real number to solve a variety of problems. |
Use
formulas and algebraic expressions to solve problems. |
Use
formulas in problem- solving situations. |
Describe
the slope and intercepts in the context of data. |
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Estimate
and compute with rational numbers. |
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Solve
one and two-step equations and inequalities |
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Compare,
order, and convert among fractions, decimals (terminating and
nonterminating), and percents. |
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Translate
word phrases and sentences into expressions and equations and vice versa. |
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Solve
problems involving percent of increase and decrease. |
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Determine
and use slopes of linear relationships to solve problems |
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Estimate
the square root of a number by using a calculator. |
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Write
the equation of and graph linear relationship given the following
information: a. Slope and y-intercept. b. Slope and one point on the line. C.
Two points on the line. |
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Determine
the absolute value of a number and evaluate absolute value expressions. |
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Investigate
and determine the effects of changes in slope and intercepts on the graph and
equation of a line. |
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Identify,
explain, and apply the commutative, associative, and distributive properties,
inverses, and identities in algebraic expressions. |
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Use
linear equations or inequalities to solve problems. Solve by graphing or using properties of equality and justify
each step. |
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Analyze
problem situations, select appropriate strategies, and use an organized
approach to solve multi-step problems. |
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Describe,
extend, analyze and create a wide variety of geometric and numeric patterns,
such as Pascal's triangle or the Fibonacci sequence. |
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Find
the greatest common factor and least common multiple of rational expressions |
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Simplify
and evaluate algebraic expressions. |
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Algebra I Part 2
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| Algebra I Tutorial |
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Tech Math I
s&s by CHHS |
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Geometry
s&s by ECHHS
s&s by CHHS
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| Honors Geometry |
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Algebra II
s&s by ECHHS |
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| Honors Algebra II |
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| Contemporary Mathematics |
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Algebra III
Trigonometry
CHHS only
2002-2003 |
Operate
with numers to solve problems (1.01) |
Use
standard form of circles and parabolas (2.01) |
Describe
real-world phenomena identifying the independent and dependent variable
(3.01) |
Use
exponential equations to find rate of growth and decay to solve problems
(4.03) |
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Operate
with algebraic expressions (1.02) |
Graph
ellipses and hyperbolas (2.02) |
Translate
verbal representations of relations (3.02) |
Operate
with matrices to solve problems (4.04) |
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Develop
and use the trigonometric relationships to solve problems (2.01) |
Graph
functions and relations and identify zeros (3.03) |
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Develop
and use the Law of Sines and Law of Cosines to solve problems (2.02) |
Find
the composite and inverse of functions (3.04) |
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Use
quadratic equations and inequalities to solve problems (3.05) |
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Find
and interpret maximum and minimum values and intercepts of quadratic
functions (3.06) |
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Solve
problems involving polynomials up to the fourth degree (3.07) |
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Find
zeros, intercepts and approximate turning points of polynomial functions
(3.08) |
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Use
rational equations to solve problems (310) |
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Use systems of
equations to solve problems (3.12) |
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Use
linear programming to solve problems (3.13) |
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Use
absolute-value equations and inequalities to solve problems (3.14) |
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Write
and graph exponential functions (3.15) |
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Recognize
as inverses the exponential and logarithmic functions (3.16) |
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Use
logarithmic and exponential equations to solve problems (3.17) |
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Graph
and use basic functions to solve problems (3.01) |
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Use
trigonometric and inverse trigonometric functions to solve problems (3.03) |
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Precalculus Math
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| Honor Precalculus |
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AP AB Calculus
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AP BC Calculus
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AP Statistics
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AP Math Topics
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