# Math Trek Grade 4 to 6

## Modules Overview

Math Trek 4 – 6 is a comprehensive curriculum-based. program. It is organized under the strands typically found in the grade 4 – 6 mathematics curriculum:

Algebra and Patterning;

Data Analysis and Probability;

Geometry and Spatial sense;

Numeration and Number Sense;

Measurements.

Includes: audio clips, show answer feature. student tracking system and teacher’s resource manual.

It may be used on standalone computers or on a network on Windows computers.

## Modules Outline

Number Sense and Numeration

- Add two 3-digit numbers.
- Add two 4-digit numbers.
- Subtract a three-digit number from a three-digit number.
- Subtract a three-digit number from a four-digit number.
- Multiply a two-digit number by a one-digit number.
- Multiply a three-digit number by a one-digit number.
- Divide a three-digit number by a one-digit number without a remainder.
- Divide a three-digit number by a one-digit number with a remainder.
- Express whole numbers to 10 000 in standard and expanded forms.
- Write whole numbers to 10 000 in standard, expanded and written form.
- Compare and order whole numbers and decimals from 0.01 to 10 000.
- Represent and compare mixed numbers and proper and improper fractions with like denominators.
- Connect proper fractions with decimals (tenths and hundreds).
- Read decimal numbers to hundredths.
- Compare and order decimals.
- Relate division to multiplication.
- Add 3- three digit numbers.
- Add 4-three digit numbers.
- Subtract a four digit number from a four digit number.
- Multiply a two-digit number by a two-digit number.
- Divide a 4 digit number by a one-digit number without a remainder.
- Divide a 4 digit number by a one-digit number with a remainder.
- Write whole numbers to 100 000 in standard, expanded and written form.
- Write numbers from 0.01 to 100 000
- Compare and order the place value of whole numbers and decimals from 0.01 to 100 000.
- Represent and compare mixed numbers and proper and improper fractions with simple denominators (e.g. 2 and 4).
- Relate division to fractions.
- Demonstrate the equivalence of a proper fraction.
- Relate a fraction with a denominator of 10 or 100 to decimal.
- Write decimal numbers to hundredths.
- Add 3-four digit numbers.
- Subtract a 4-digit number from a 5-digit number.
- Multiply a 3-digit number by a 2-digit number.
- Divide a 4-digit number by a 2-digit number without a remainder
- Divide a 4-digit number by a 2-digit number with a remainder.
- Write whole numbers to 1 000 000 in standard, expanded and written forms
- Write numbers from 0.001 to any numbers greater than 1 000 000
- Compare and order the value of whole numbers and decimals from 0.001 to 1 000 000
- Compare mixed numbers and improper fractions with unlike denominators
- Relate fractions to decimals
- Read decimal numbers to thousands
- Use the correct order of operations when solving number sentences involving whole numbers.
- Round 2-digit numbers to the nearest 10.
- Round whole numbers to the nearest 10, 100, 1000, 10 000,1 000 000)
- Round decimal to the nearest 0.1/ 0.01/ 0.001
- Round numbers to the nearest 0.001/0.01/0.1/1/10/100/1000/10 0000/100 000/ 1000 000
- Demonstrate an understanding of place value of tens and ones
- Compare and order whole numbers and decimals from 0.01 to 10 000
- Represent proper fractions with simple denominators
- Obtain a proper fraction equivalent to a given proper fraction.

Patterning & Algebra

- Recognize numbers that are devisable by 2.
- Recognize numbers that are devisable by3.
- Recognize numbers that are devisable by4.
- Recognize numbers that are devisable by5.
- Recognize numbers that are devisable by6.
- Recognize numbers that are devisable by7.
- Recognize numbers that are devisable by8.
- Recognize numbers that are devisable by9.
- Understanding the behavior of even and odd numbers under addition and subtraction.
- Determine the value of a missing term in equations
- Determine equations involving addition and subtraction and having a missing term.
- Identify composite numbers.
- Identify Prime numbers.
- Express a number as a product of primes.
- Identify common factors.
- Identify and complete number patters.
- Identify and complete patterns
- Identify and complete number patterns that identify changes in terms of two variables.
- Identify and complete patterns that identify changes in terms of two or more attributes.

Measurement

- Select the appropriate standard unit to measure linear dimensions.
- Estimate lengths in, millimeters, centimeters, meters and kilometers.
- Calculate the perimeter of a geometric shape.
- Select appropriate units of measure for perimeter.
- Select appropriate units of measure for area.
- Calculate the area of a geometric shape.
- Estimate area by counting whole and partial grid squares.
- Calculate the area of a geometric figure using formula.
- Measure lengths of sides of a geometric figure and calculate the area of a geometric shape using formula.
- Estimate and compare areas by counting whole and partial grid squares.
- Calculate and compare areas of rectangles using formula.
- Select the most appropriate standard unit to measure the capacity of containers.
- Estimate volume of real world objects.
- Relate years to decades, decades to centuries and centuries to millennia.
- Understand the difference between a 12 hour clock and a 24 hour clock.
- Solve real life problems related to elapsed time.
- Solve real life problems related to time zones.
- Select appropriate units of measure for mass.
- Use prefixes in the metric system.
- Understand the relationship between millimeters and cubic centimeters.
- Convert between meters and centimeters.
- Convert between mm and cm.
- Calculate and compare areas of triangles using formulas.
- Calculate the volume of a rectangular prism.
- Use the formula for calculating the volume of rectangular prisms.

Data Management & Probability

- Record data on a tally sheet.
- Record data on a bar graph.
- Read and interpret data presented on pictographs having a many to one correspondence.
- Display data on pictographs having a many to one correspondence.
- Calculate probability.
- Use knowledge of probability to solve simple problems.
- Predict probability in simple experiments and use fractions to describe probability.

Geometry

- Identify similar and congruent figures.( Triangles, Polygons, Angles, Cylinders, Prisms)
- Demonstrate an understanding of translation, reflection and rotation.
- Identify net for a variety of polyhedral( cube)
- Sort polygons according to the number of sides, angles, vertices.
- Classify two-dimensional shapes (triangles) according to the angle and side properties.
- Classify two-dimensional shapes (quadrilaterals) according to the angle and side properties.
- Demonstrate an understanding of coordinates.
- Distinguish between parallel and non- parallel line segments.
- Measure angles using a protractor.
- Classify angles as acute, right, obtuse, straight and reflex.
- Identify closed plane figures.
- Name triangles.
- Determine the measure of an angle of a triangle given the measure of the other two.
- Name quadrilaterals.
- Distinguish between various terms relating to a circle.
- Identify lines of symmetry
- Name geometric solids( Prisms and pyramids)