Our Math Modules

Below is a comprehensive list of math modules we offer in our program.

Kindergarten

The first two tasks use shapes, first in naming them and then in counting their sides.

Positions (above, below, and beside [left and right]) are then addressed.

The next seven tasks address numbers: (1) counting objects, (2) comparing values of least and most using objects, (3) identifying number size (1–10) as less than, equal to, or greater than, (4) counting forward on a number line, (5) counting to 10 starting from numbers other than 1, (6) identifying place value of ones and tens, and (7) composing numbers to a value of 10.

The final two tasks address addition and subtraction.

Grade 1

The first three modules focus on counting, beginning with objects being summed, then counting on a number line, and finally comparing the lengths of two lines.

Subsequent modules move to numbers, first in terms of less than, equal to, or greater than, before place value is introduced (with ones, tens, and hundreds).

Addition and subtraction are then addressed—first with single digits and then with both single- and double-digit numbers (including carrying and borrowing), followed by missing addends, missing subtrahends, and finally the relationship between addition and subtraction.

The final task focuses on telling time to the nearest 15 minutes.

Grade 2

The first module addresses skip counting.

Subsequent tasks include working with numbers: comparing their size (less than, equal to, and greater than), identifying their sequence on a number line (not starting at 1), determining whether numbers are odd or even (a prerequisite for understanding factors), and three tasks addressing base ten concepts—identifying ones, tens, and hundreds; expressing them; and determining place value.

Addition and subtraction are then presented as two separate tasks before fractions are introduced as parts-to-whole relationships.

The final two tasks focus on time and money.

Grade 3

The first two tasks involve numbers, expressed on number lines as fractional parts of distance and then in terms of place value.

Operational problems are then presented through addition and subtraction.

Two multiplication tasks follow: working with numbers alone and solving word problems.

Multiplication and division tasks are then presented, followed by two fraction tasks focused on generating equivalent values and solving problems.

The final four tasks include time, word problems, interpreting comparative values presented graphically, and computing the area of two- and three-dimensional shapes.

Grade 4

The modules initially focus on addition and subtraction using integers before moving to multiplication and division.

Fractions are then developed by comparing them, reducing them, determining greater-than and less-than relationships, and forming equivalence.

Four subsequent fraction topics are addressed: working with proper and improper fractions, adding fractions, adding and subtracting fractions, and finally multiplying fractions.

The final two topics address factors and word problems.

Grade 5

The initial emphasis is on place value to ensure students can manipulate numbers in sets (ones, tens, and hundreds).

Once place value is established (including work with real numbers), multiplication is addressed.

A series of modules then focuses on fractions, including addition, expression, multiplication (first as fractions and later as mixed numbers), and applying fractions in word problems.

The final three modules address algebraic equations, area and volume, and coordinate graphs.