Plymouth
Educational Center |
Mathematics
Scope and Sequence |
|
| The
P.E.C. student will be able to: |
|
Click for grade level: (K)
(Grade 1) (Grade
2) (Grade 3) (Grade
4) (Grade 5) (Grade
6) (Grade 7) (Grade
8) |
| Kindergarten |
|
| Write and recognize 1-20 |
| Count 1-20, count by 2's, 5's, and
10's |
| Identify basic shapes |
| Identify penny, nickel, dime, quarter |
| Understand concept of up, down, heavy,
light |
| Understand concept of time: hour
and half hour |
| Use ordinal numbers |
| Sort objects by weight and shape |
| Identify circle, square, rectangle
and triangle and shape relation to the physical world and to solve
problems |
| Identify objects in the left and
right position |
| Identify objects in front (before),
middle (between), behind (after) positions |
| Divide objects into halves by coloring,
cutting or drawing a line |
| Complete addition problems in small
groups using manipulatives |
| Explore subtraction (take away) |
| Use manipulatives |
| |
| Grade
1 |
| |
| Solve addition/subtraction facts through
10 |
| Recall days of week |
| Count money through 10 cents |
| Count up to 100 |
| Graph more, less, < , > |
| Graph using tally marks |
| Add and subtract 2-digit without
regrouping |
| Count money |
| compute story problems |
| Identify missing addends |
| Tell time |
| Find patterns/strategies for problem
solving (tables) and explore new content. |
| Explore various types of numeric
and geometric patterns (repeating, growing, shrinking). |
| Compare the length, weight, capacity
and volume of two or more objects |
| Use a ruler; centimeter, inch |
| |
| Grade
2 |
| |
| Solve fact families to 14 |
| Find missing addends |
| Compare number to 14 with < ,
> |
| Place value to 100 |
| Count by 2's, 3's, 5's, 10's |
| Read and write graphs |
| Count and compare money |
| Identify fractions |
| Use standard units of measurement |
| Tell time to nearest hour, half-hour |
| |
| Grade
3 |
| |
| Add three or more addends |
| Write and identify place value through
999.999 |
| Compare up to 4-digit numbers |
| Round numbers to nearest 10 and 100 |
| Find value of money |
| Read and write times |
| Add and subtract up to 3-digits without
regrouping |
| Collect and record data |
| Read, make and interpret graphs |
| Make predictions/estimations |
| Multiply 0-12 facts |
| Identify geometric shapes |
| Use ordered pairs on grid |
| Determine area and perimeter of polygons |
| Compare fractions |
| Add fractions with like denominators |
| Measure length, capacity, weight |
| |
| Grade
4 |
| |
| Use prior knowledge to explore multiplying
by 1 digit numbers |
| Use different strategies to solve
problems |
| Add 3, 4 or more addends & regrouping
once or twice |
| Investigate & recognize relationships
among area height & volume of geometric patterns |
| Describe & extend geometric pattern
relationships |
| Solve problems using multiple operations |
| Utilize estimation to measure results |
| Organize data |
| Make predictions |
| Explore & develop their own algorithms |
| Compare & describe more or less likely |
| |
| Grade
5 |
| |
| Add and subtract numbers with up to
6 digits |
| To estimate sums and differences
by rounding |
| Multiply a 2 or 3 digit number by
a 1 digit number |
| Divide 2 and 3 digit dividends by
1 digit divisors |
| Use prior knowledge to explore collecting,
organizing and using data |
| Write an equivalent fraction by multiplying
or dividing |
| Find the greatest common factor (GCF)
and use it to write fractions in simplest form |
| Add or subtract unlike denominators
and simplify (reduce) to lowest terms |
| |
| Grade
6 |
| |
| Convert, improper fractions to mixed
number and back |
| Find area and perimeter |
| Analyze and graph plot points, coordinate
plane |
| Integers |
| Describe patterns, verbally and symbolically |
| Describe geometric angles, line of
symmetry, and generalizations of shapes |
| Express numerical comparisons as
ratios and rates |
| Use manipulatives and diagrams to
model operations and their inverses with integers and rational
numbers and relate the models to their symbolic expressions |
| Compute with integers, rational numbers
and simple algebraic expressions using mental computation, estimation,
calculators and paper-and pencil; explain what they are doing
and how they know which operations to perform in a given situation
|
| Conduct experiments and give examples
to illustrate the difference between dependent and independent
events |
| Explore algebraic concepts with manipulatives
such as balance scales, tables of input and output, and pictorial
representations of problems |
| |
| Grade
7 |
| |
| Read and write algebraic expressions |
| Learn to evaluate expression using
the order of operations |
| Evaluate simple algebraic expressions
& linear equations |
| Use menus to make up order & explain
how order can be displayed in algebraic equations |
| Computer, estimate, solve problems
using decimals |
| Express decimals in scientific notation
& fractions as decimals |
| Solve addition, subtraction & multiplication
equations |
| Solve inequalities |
| Graph functions and linear equations |
| Use linear equations to solve practical
problems |
| Know the difference between probabilities
taken from experiment - chance events or mathematically derived |
| Learn to use statistics to compare
& classify information and predict probability or expected value |
| Make frequency tables, line plots |
| Learn to find mean, mode, median
of a set of data |
| Express numerical comparisons as
ratio, rates and percents and use to solve problems |
| Solve linear equations based upon
ratios & rates |
| Everyday use of ratios, rates and
percents |
| Given expressed rates - determine
ratios |
| Express ratios as fractions |
| Express percents as fractions and
decimals |
| Describe translations, reflections,
rotations, dilatations, and tessellations |
| Determine which regular figures can
be used to form tessellations |
| Create drawings by using translations
and reflections |
| Measure angles |
| Determine whether polygons are similar |
| Learn common properties of similar
and congruent shapes |
| Use shapes properties and slope relationships
to describe similarity and congruence in the physical world |
| |
| Grade
8 |
| |
| Apply geometry: scale drawings, models,
maps |
| Solve equations: solve one and two
variables |
| Use integers |
| Use numbers to solve expressions
and equations |
| Decide outcomes of a given situation
using expected value and probability |
| Write story problems |
| Raise and answer questions about
the source, collection, organization and presentation of data,
as well as the conclusions drawn from the date; explore biases
in the data |
| Formulate and communicate arguments
and conclusions based on data and evaluate their arguments and
those of others |
| Develop strategies for estimating
measures and compare the estimate to the results of the measurement;
decide of an estimate is "a good estimate" |